Answer:
Decrease and financing section
Step-by-step explanation:
The cash flows statement categorizes activities into 3 groups namely; Operating, Investing and Financing.
Operating activities captures the changes to current assets and liabilities such as inventory, trade payables and trade receivables, net income, depreciation etc.
Investing has elements such as sale and purchase of fixed asset. While financing dealings with elements around equity changes and long term debts.
As such the payment of long term debt will be reported in the financing activities section as a decrease because it results in the out flow of cash.
Repayment of a long-term debt during the year is reported as a decrease in the cash flows from financing activities section on the statement of cash flows. This reflects the money used to repay the debt.
When a company repays a long-term debt during the year, it is reported as a decrease in the cash flows from financing activities section on the statement of cash flows.
This decrease reflects the outgoing funds used to repay the debt. For example, in the case of Singleton Bank's change in business plan, their balance sheet would reflect the change in assets from the repayment of a loan, such as the one to Hank's Auto Supply for $9 million.
As a result, there would be a corresponding decrease in cash flows from financing activities by the same amount in the statement of cash flows. The decrease would indicate the outflow of money used to retire the long-term debt.
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The duck pond games at the carnival has a pool with 75 toy ducks twenty five of these ducks are marked underneath as winners. To play you pick up a duck do not replace it then pick up another what is the probability that both ducks picked are winners?
Answer:
50?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Francis invested $20,000. Some was invested in bonds that made a 4% profit, and the rest was put into stocks that made an 8% profit. How much did Francis invest in bonds if his total profit on both types of investments was $1,120?
Answer:he invested $12000 in bonds and $8000 in stocks.
Step-by-step explanation:
Let x represent the amount that was invested in the bond that made 4% profit.
Let y represent the amount that was invested in the stock that made 8% profit.
Francis invested $20,000. Some was invested in bonds that made a 4% profit, and the rest was put into stocks that made an 8% profit. This means that
x + y = 20000
Profit made from the amount invested in the bond is
4/100 × x = 0.04x
Profit made from the amount invested in stock is
8/100 × y = 0.08y
if his total profit on both types of investments was $1,120, it means that
0.04x + 0.08y = 1120 - - - - - - - - - - 1
Substituting x = 20000 - y, it becomes
0.04(20000 - y) + 0.08y = 1120
800 - 0.04y + 0.08y = 1120
- 0.04y + 0.08y = 1120 - 800
0.04y = 320
y = 320/0.04 = 8000
x = 20000 - y = 20000 - 8000
x = $12000
Francis invested $12,000 in bonds.
Let's denote the amount invested in bonds as B and the amount invested in stocks as S.
We can set up a system of equations based on the given conditions:
1. B + S = 20,000 (Equation 1) - Total investment amount
2. 0.04B + 0.08S = 1,120 (Equation 2) - Total profit
We can solve this system of equations to find the amount invested in bonds B.
From Equation 1, we can express S in terms of B:
S = 20,000 - B
Now, substitute this expression for S into Equation 2:
0.04B + 0.08(20,000 - B) = 1,120
Let's solve for B:
0.04B + 1,600 - 0.08B = 1,120
-0.04B = 1,120 - 1,600
-0.04B = -480
Now, divide both sides by -0.04:
[tex]\[B = \frac{-480}{-0.04} \][/tex]
B = 12,000
So, Francis invested $12,000 in bonds.
A turtle can walk \dfrac{1}{12} 12 1 start fraction, 1, divided by, 12, end fraction of a kilometer in an hour. The turtle is \dfrac15 5 1 start fraction, 1, divided by, 5, end fraction of a kilometer away from a pond. At this speed, how long will it take the turtle to reach the pond?
Answer:
It will take turtle [tex]2\frac{2}{5} \ hour[/tex] to reach the pond.
Step-by-step explanation:
Given:
A turtle can walk 1/12 of a kilometer in an hour.
The turtle is 1/5 of a kilometer away from a pond.
Now, to find the time it will take the turtle to reach the pond.
Speed of turtle = [tex]\frac{1}{12}\ kilometer\ per\ hour.[/tex]
Distance of turtle from the pond = [tex]\frac{1}{5} \ kilometer.[/tex]
Now, to get the time it will take turtle to reach the pond we put formula:
[tex]Time=\frac{Distance}{speed}[/tex]
[tex]Time=\frac{\frac{1}{5}}{\frac{1}{12}}[/tex]
[tex]Time=\frac{1}{5} \times \frac{12}{1}[/tex]
[tex]Time=\frac{12}{5}[/tex]
[tex]Time=2\frac{2}{5}\ hour.[/tex]
Therefore, it will take turtle [tex]2\frac{2}{5} \ hour[/tex] to reach the pond.
Answer:
2 2/5
Step-by-step explanation:
Use the three steps to solve the problem.
One number is five more than another and their sum is three less than three times the smaller. Find the numbers.
List your answers in numerical order, separated by a comma.
Answer:
The answers in numerical order are 4, 9.
Step-by-step explanation:
i)Let the two required numbers be x, y .
ii) It is given that x = y + 5
iii) it is also given that x + y = 3y - 3.
iv) substituting the value of x from ii) in equation iii) we get
(y + 5) + y = 3y - 3 ⇒ 2y = 8 ∴ y = 4
v) Substituting the value of y from equation iv) in equation ii) we get
x = 4 + 5 = 9
vi) The answers in numerical order are 4, 9.
Three roommates do 20 hours of chores. 6 hours by Stephen, 8 hours by Tom, and 6 hours jenny what fraction of the household chores are done by Stephen
Answer:
3/10
Step-by-step explanation:
Stephen works 6 hours of the total of 20 hours worked. If the chores are proportional to the time worked, then Stephen does 6/20 = 3/10 of the chores.
Find angle A in the following triangle.
A. 50.67
B. 49.23
C. 48.19
D. 51.89
A machine is supplied energy at a rate of 4,000 W and does useful work at a rate of 3,760 W. What's the efficiency of the machine? A. 92 percent B. 97 percent C. 96 percent D. 94 percent
Answer:The efficiency is (d).94%
Step-by-step explanation:
The efficiency:
E=100× (output/input)
So the input is 4000W and the out put is 3760W
From the above formula
E=100×(3760/4000)
E=376000/4000
E=94%
Research participants drank either caffeinated or decaffeinated beverages in a study of the effects of caffeine on anxiety levels. Those who received the caffeinated drinks were assigned to the ________ group.
Answer:
Experimental group
Step-by-step explanation:
In a psychology experiment, the test gathering (or trial condition) alludes to the gathering of members who are presented to the free factor. These members get or are presented to the treatment variable.
The free factor is changed in the exploratory gathering.
For example : A human test gathering could get another prescription, an alternate type of advising, or some nutrient enhancements
HELP!Please solve! this!!
Answer:
Recursive formula for geometric sequence
[tex]a_{n}=a_{n-1}\times r[/tex]
is [tex]a_{n}=a_{n-1}\times 6[/tex]
and explicit formula for geometric sequence [tex]a_{n}=a_{1}^{r-1}[/tex] is
[tex]a_{n}=(\frac{1}{2})^{6-1}[/tex]
Step-by-step explanation:
Given sequence is [tex]\frac{1}{2},3,18,108,648,...[/tex]
To find the recursive and explicit formula for this sequence:
Let [tex]a_{1}=\frac{1}{2},a_{2}=3,a_{3}=18,a_{4}=108,a_{5}=648,...[/tex]
To find the common ratio r:
[tex]r=\frac{a_{2}}{a_{1}}[/tex]
[tex]=\frac{3}{\frac{1}{2}}[/tex]
[tex]=3\times 2[/tex]
[tex]=6[/tex]
Therefore r=6
[tex]r=\frac{a_{3}}{a_{2}}[/tex]
[tex]=\frac{18}{3}[/tex]
[tex]=6[/tex]
Therefore r=6
Therefore the common ration r=6
Therefore the given sequence is geometric sequence
Recursive formula for geometric sequence is [tex]a_{n}=a_{n-1}\times r[/tex]
[tex]a_{n}=a_{n-1}\times 6[/tex]
and explicit formula is [tex]a_{n}=a_{1}^{r-1}[/tex]
[tex]a_{n}=(\frac{1}{2})^{6-1}[/tex]
[tex]=(\frac{1}{2})^{5}[/tex]
[tex]=\frac{1}{32}[/tex]
Therefore [tex]a_{n}=\frac{1}{32}[/tex]
Answer:
Recursive: a(n) = 6a(n-1)
Explicit: a(n) = (6^n)/12
Step-by-step explanation:
3 = 6 × ½
18 = 6 × 3
.
.
.
Recursive formula:
a(n) = 6a(n-1)
Explicit:
a(n) = a × r^(n-1)
a(n) = ½ × 6^(n-1)
a(n) = (6^n)/12
A person's website specializes in the sale of rare or unusual vegetable seeds. He sells packets of sweet-pepper seeds for $2.16 each and packets of hot-pepper seeds for $4.40 each. He also offers a 16-packet mixed pepper assortment combining packets of both types of seeds at $2.44 per packet. How many packets of each type of seed are in the assortment?
2.16x+4.40(16-x) = 2.44(16)
2.16x+70.40-4.40x = 39.04
-2.24x = -31.36
x= 14
So, there are 14 packets of the sweet pepper seeds at 2.16 and 16-14 = 4 packets of the hot pepper seeds at 4.40
What is an equation of the line that passes through (0, 8) and (4, 0)?
y = 2 x + 8
y = 2 x + 4
y = -2 x + 4
y = -2 x + 8
Step-by-step explanation:
Say y=ax+b. It goes through (0,8) and (4,0). Therefor we can say 8=a(0)+b which gives us b=8. Then we fill in (4,0) which results in 0=a(4)+8. Given that, a=-2. so y=-2+8
Final answer:
The equation of the line that passes through points (0, 8) and (4, 0) is y = -2x + 8. The slope is calculated as -2 and the y-intercept is 8.
Explanation:
To find the equation of a line passing through two points, we can use the formula y = mx + b where m is the slope of the line and b is the y-intercept. The slope m is calculated by the change in y over the change in x, also known as rise over run. For the points (0, 8) and (4, 0), the slope is calculated as (0 - 8)/(4 - 0) which simplifies to -2. Thus, the slope m is -2.
Since the line passes through the point (0, 8), we already know the y-intercept b; it is 8. Now, we can write the equation of the line using the slope we found and the y-intercept: y = -2x + 8.
Identify the type of sampling used. A statistics student is trying to determine the proportion of all people who own cell phones. He interviews everyone in his apartment building to determine who owns a cell phone. What sampling technique was used?
Answer:
Convenience Sampling
Step-by-step explanation:
The given situation indicates the non-probability sampling because the sampling units are not selected at random and every unit in population has unequal chance of being selected. Convenience sampling is a type of non-probability sampling in which the sampling unit close to interviewer are selected. In the situation statistics student interviews the individual that resides in his building, so it is a convenience sampling.
Final answer:
The statistics student used convenience sampling, a non-probability method, by interviewing individuals in his apartment building to determine cell phone ownership. This method is subject to sampling bias and does not provide generalizable results.
Explanation:
The type of sampling used in the scenario where a statistics student interviews everyone in his apartment building to determine who owns a cell phone is called convenience sampling. This non-probability sampling method involves choosing participants because they are convenient to the researcher, not because they are randomly selected or necessarily representative of the larger population. Therefore, while it is easy and cost-effective, the results of convenience sampling cannot be reliably generalized to the wider population due to potential sampling bias.
Select all that apply.
Which of the following are important properties of circles?
Radius
Midpoint
Origin
Center
Final answer:
The important properties of circles from the given options are the radius and the center. Midpoint and origin are not inherent properties of all circles. Properties such as radial and centripetal nature, and the uniqueness of the circle's foci at the center, are paramount.
Explanation:
The important properties of circles that apply from the options given are:
Radius: The distance from the center of the circle to any point on the circumference.
Center: The point that is equidistant from all points on the circumference of the circle.
While midpoint and origin can be related to circles, they are not properties intrinsic to all circles. The origin is more generally associated with a coordinate system, whereas the midpoint refers to the middle point of a segment and does not describe the circle itself unless referring to the midpoint of a diameter, which would be the circle's center.
Furthermore, properties of circles such as being boundary-curves and equidistant-curves are vital. The radial nature of the radius and the centripetal force that acts towards the center of a circular path are central to understanding movement along the circle. Importantly, the foci of a circle, unlike an ellipse, are located at the same point as the center.
Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make?
Answer: she needs to beat 8.8 ft /sec which is 0.001667miles/sec and after 15mins,she ran 0.00161miles/sec.
Step-by-step explanation:
1ft = 0.0001893939 miles
8.8ft= 0.001667
That means she needs to beat 0.001667 miles/sec time.
In 15mins, her average was 5.8miles/hr.
That means for 15mins,she ran 0.00161/sec.
Mr. Mole left his burrow and started digging his way down. AAA represents Mr. Mole's altitude relative to the ground (in meters) after ttt minutes. A=-2.3t-7A=−2.3t−7A, equals, minus, 2, point, 3, t, minus, 7 How far below the ground does Mr. Mole's burrow lie? Meters below the ground
Answer:
Mr. Mole's burrow lie 7 meters below the ground.Explanation:
The information given can be summarized as:
Mr Mole's altitude relative to the ground, in meters: A = - 2.3t - 7Time, since Mr. Mole started digging, in minutes: tInterpetration of the terms in the model A = -2.3t - 7
The equation A = -2.3t - 7 is a linear function, which consists of two terms:
The term -2.3t indicates that the altitude of Mr Mole decreases by 2.3 meters every minute. This is, -2.3 is the slope of the line in the graph that represents the altitude.The constant term - 7 is the altitude at t = 0, because at t = 0 A = -2.3(0) - 7 = 0 - 7 = 0. This is, -7 is the intercept with the vertical axis in the graph that represents the altitude.Thus, altitude at which Mr. Mole's burrow lie is the initial value given by the function, this is the altitude at t = 0, or the vertical intercept of the line; which, as just said is - 7. The negative sign tells that the value is below the ground (ground level is 0 meters). Then, Mr. Mole's burrow lie 7 meters below the ground.
Mr. Mole's burrow lies 7 meters below the ground which is represented by the equation A = -2.3t - 7.
Given that:
The altitude of Mr. Mole's burrow can be calculated by determining the equation A = -2.3t - 7, where A represents the altitude in meters and t represents time in minutes.
The coefficient of t is -2.3, which shows that the altitude is decreased by 2.3 meters for every minute that passes. At t = 0, the constant term is -7, which represents an initial altitude of -7 meters.
Since Mr. Mole is digging downward and wants to find how far below the ground his burrow lies, we will consider the absolute value of the altitude.
The absolute value of the altitude, which is the distance below the ground, is: |A| = 2.3t + 7
The distance below the ground increases by 2.3 meters for every minute that passes and there's an initial distance of 7 meters below the ground.
Therefore, Mr. Mole's burrow lies 7 meters below the ground.
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True or False.An artist plans to construct an open box from a 15 in. by 20 in. sheet of metal by cutting squares from the corners and folding up the sides.
Answer:
True.
Step-by-step explanation:
The artists is using simple math. When cutting squares from the corners he uses the same measure for each side of the figuer (because is a square) and the remaining sides thatare folded havethe same measures as the squares.
Cutting each side with the correct percent of the total surface in order to go from 20 in to 15 in.
Explain how to find a common denominator of 3/4 and 1/5 what is a common denominator of 3/4 and 1/5 show how you can rename 3/4 and 1/5 using that common denominator
Answer:
Common denominator = 20
New fractions are: [tex]\dfrac{15}{20}\ and\ \dfrac{4}{20}[/tex]
Step-by-step explanation:
Given:
The fractions are given as:
[tex]\dfrac{3}{4}\ and\ \dfrac{1}{5}[/tex]
The denominators of the first fraction is 4 and that of the second fraction is 5.
In order to find the common denominator for 4 and 5, we have to find the least common multiple of each of the numbers.
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28,....
Multiples of 5 = 5, 10, 15, 20, 25, 30,....
Therefore, the least common multiple of 4 and 5 is 20. So, the common denominator is 20.
Now, multiply the numerator and denominator of each fraction by the same suitable number such that the denominator becomes 20.
So, for the first fraction, 4 is in the denominator.
So, 4 when multiplied by 5 gives 20.
So, we multiply the numerator and denominator of first fraction by 5. This gives,
[tex]\dfrac{3}{4}=\dfrac{3\times 5}{4\times 5}=\dfrac{15}{20}[/tex]
Now, for the second fraction, 5 is in the denominator.
So, 5 when multiplied by 4 gives 20.
So, we multiply the numerator and denominator of first fraction by 4. This gives,
[tex]\dfrac{1}{5}=\dfrac{1\times 4}{5\times 4}=\dfrac{4}{20}[/tex]
Therefore, the new fractions after making the denominators same are:
[tex]\dfrac{15}{20}\ and\ \dfrac{4}{20}[/tex]
In 12 games last season the school baseball team scored 5, 11, 2, 0, 4, 8, 9, 6, 7, 4, 1, and 2 runs. What is the average number of runs scored per game? Round to the nearest tenth.
Answer:
For Plato users the Answer is C
Step-by-step explanation:
A geologist found two underground wells that contained large deposits of water. The first well was 46 2/3 meters below the surface. The second well had more water, and was 77 5/6 meters deeper than the first well. How deep below the surface was the second well?
Answer:
Second well was [tex]103 \frac{3}{6}\ m[/tex] deep below the surface.
Step-by-step explanation:
Given:
Depth of First well = [tex]46\frac{2}{3}\ m[/tex]
[tex]46\frac{2}{3}\ m[/tex] can be Rewritten as [tex]\frac{140}{3}\ m[/tex]
Depth of First well = [tex]\frac{140}{3}\ m[/tex]
Also Given:
The second well had more water, and was [tex]77\frac{5}{6}\ m[/tex] deeper than the first well.
[tex]77\frac{5}{6}\ m[/tex] can be Rewritten as [tex]\frac{467}{6}\ m[/tex]
Hence We can say that;
Depth of second well is equal to [tex]\frac{467}{6}\ m[/tex] plus Depth of First well.
framing in equation form we get;
Depth of second well = [tex]\frac{467}{6}+\frac{77}{3}[/tex]
Now the denominators are common so we can solve the numerators
now to solve the fractions we need to make the denominator common we will use L.C.M we get;
Depth of second well = [tex]\frac{467\times1}{6\times1}+\frac{77\times2}{3\times2}= \frac{467}{6}+\frac{154}{6}[/tex]
Now the denominators are common so we can solve the numerators.
Depth of second well = [tex]\frac{467+154}{6}=\frac{621}{6}\ m \ \ OR\ \ 103 \frac{3}{6}\ m[/tex]
Hence Second well was [tex]103 \frac{3}{6}\ m[/tex] deep below the surface.
The next one will be my last! Will someone please make sure to explain it in depth so I understand 100% how to do these! Thanks
Step-by-step explanation:
Before we start, let's look at what we're trying to prove: that two triangles are congruent. There are a few ways we can do that: SSS, SAS, ASA, or AAS. Whichever we choose, we'll need to show that at least one pair of sides is congruent. We can do that, since we know that H is the midpoint of LM. So we'll either use ASA or AAS.
1. LG || JM, H is the midpoint of LM
Given
2. LH ≅ HM
Definition of midpoint
3. ∠GLH ≅ ∠JMH
Alternate interior angles theorem
(∠GLH and ∠JMH are alternate interior angles. Since LG and JM are parallel, the alternate interior angles are congruent.)
4. ∠LHG ≅ ∠MHJ
Vertical angles theorem
(∠LHG and ∠MHJ are vertical angles, which are always congruent.)
5. ΔLGH ≅ ΔMJH
ASA
(We have two pairs of congruent angles, and a pair of congruent sides between them.)
Now, I chose to use ASA. However, you could use AAS. Instead of using vertical angles in step 4, we could have used alternate interior angles theorem to show that ∠LGH ≅ ∠MJH.
A bag contains 5 red marbles, 10 blue marbles, and 14 yellow marbles. If Jen selects a marble from the bag without looking, what is the probability that she will not pull a red marble
Answer:
The answer to your question is 0.83 or 83%
Step-by-step explanation:
Data
5 red marbles
10 blue marbles
14 yellow marbles
Process
1.- Calculate the total amount of marbles
Total amount = 5 red + 10 blue + 14 yellow
Total amount = 29 marbles
2.- Calculate the amount of marbles that are not red
No red marbles = 10 + 14
= 24 marbles
3.- Calculate the probability
Probability of not pulling a red marble = [tex]\frac{no red marble}{total amount of marbles}[/tex]
Probability of not pulling a red marble = [tex]\frac{24}{29} = 0.83 or 83%[/tex]
Selena's snow cone stand sells small snow cones for $2 and large snow cones for $3.50. One summer day, she sold $163 worth of snow cones. If the number of large snow cones was 12 more than the number of smalls, how many of each size did she sell?
Answer:
Number of Small Cones Sold=22
Number of Large Cones Sold=34
Step-by-step explanation:
Suppose,
Number of Small Cones Sold: s
Number of Large Cones Sold: l
For the condition that, larges cones sold were 12 more than small ones, equation would be
[tex]s-l=12....................................... (i)[/tex]
and for the total revenue condition of $163
[tex]2*s+3.5*l=163.........................(ii)[/tex]
By solving equation (i) and (ii) simultaneously, we get
s=22
and
l=34
Hence, small cones sold would be 22 and large cones sold would be 34.
Tiny marine organisms reproduce at different rates. Phytoplankton doubles in population twice a day, but foraminifera doubles every five days. If the two populations are initially the same size and grow exponentially, how long does it take for (a) The phytoplankton population to be double the foraminifera population. (b) The phytoplankton population to be 1000 times the foraminifera population.
The phytoplankton population will be double the foraminifera population at the end of the first day. It'll take approximately 6.44 days for the phytoplankton population to be 1000 times the foraminifera population.
Explanation:To solve this problem, we'll need to figure out the exponential growth rate for each organism. As per the question, phytoplankton doubles its population twice a day and the foraminifera doubles every five days.
To find when phytoplankton's population is double, consider that they both start at the same population size. On the first day, the phytoplankton's population will double twice, becoming 4 times its original size, whereas the foraminifera's population will stay the same. Thus, it already exceeds two times the foraminifera's population on the first day.To find when phytoplankton's population is 1000 times more than the foraminifera's population let's calculate it. Think of day zero as being the time when both populations are equal. Now, every day the phytoplankton population multiplies by 4 whereas the foraminifera multiplies by 1 every day until the fifth day. Then it doubles. So, if N is the number of days, we need to find smallest N where 4^N > 1000*(2^(N/5)). We can do this manually or by using a computational tool and we will find out that it takes roughly 6.44 days for the phytoplankton population to be 1000 times the foraminifera population.Learn more about Exponential Growth
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Final answer:
To find when the phytoplankton population is double that of the foraminifera, we solve the equation 2^(t/5) = 2^(2t-1), yielding approximately 1.67 days. To find when the phytoplankton population is 1000 times the foraminifera population, we solve 1000 × 2^(t/5) = 2^(2t), resulting in approximately 5.95 days.
Explanation:
To solve this problem, we use the formula for exponential growth: N(t) = N_0 × 2^(t/T), where N(t) is the population at time t, N_0 is the initial population, and T is the doubling time. For phytoplankton with a doubling time of 0.5 days, we have N_p(t) = N_0 × 2^(2t), because they double twice a day. For foraminifera, which double every 5 days, we have N_f(t) = N_0 × 2^(t/5).
Part A
To find when the phytoplankton population is double the foraminifera population, we set 2N_f(t) = N_p(t) and solve for t. This gives us 2 × N_0 × 2^(t/5) = N_0 × 2^(2t). Canceling N_0 and dividing by 2, we get 2^(t/5) = 2^(2t-1), thus t/5 = 2t-1. Solving for t gives us t = 5/3 days, or approximately 1.67 days.
Part B
To determine when the phytoplankton population is 1000 times the foraminifera population, we set 1000N_f(t) = N_p(t). Solving for t in 1000 × N_0 × 2^(t/5) = N_0 × 2^(2t) and simplifying, we find that t = 5 × log2(1000)/3, which is about 5.95 days.
Raymond has $10.00 in a savings account that's earns 10% interest per year. The interest is not compounded. How much interest will in the earned in 2 years?
Final answer:
Raymond will earn a total of $2.00 in interest over 2 years on his $10.00 savings account with a non-compounding 10% annual interest rate, as he receives the same amount of interest each year.
Explanation:
To calculate the interest Raymond earns in 2 years on his $10.00 savings at a 10% annual interest rate, where the interest is not compounded, we can follow these steps:
In 2 years, he will earn $1.00 (year 1) + $1.00 (year 2), which equals $2.00 in interest.
In conclusion, Raymond will earn $2.00 in interest over 2 years on his $10.00 savings account with a 10% annual interest rate.
In a housing project, there are 350 households in which English is spoken, 50 in which Spanish is spoken, and 100 in which the language is other than English or Spanish. If a psychologist approaches a house at random to conduct an interview, the chance that the language in that household will NOT be English is?
a. 1/500 = .002.b. 50/350 = .14.c. 150/500 = .3.d. 150/350 = .43.
Answer:
The correct option is C) [tex]\frac{150}{500}=0.3[/tex].
Step-by-step explanation:
Consider the provided information.
There are 350 households in which English is spoken, 50 in which Spanish is spoken, and 100 in which the language is other than English or Spanish.
Total total number of household = 350 + 50 + 100 = 500
Non English household = 100 + 50 = 150
[ tex]Probability = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}[/tex]
[tex]P=\frac{150}{500}=0.3[/tex]
Hence, the correct option is C) [tex]\frac{150}{500}=0.3[/tex].
The probability that the language in a randomly approached household will not be English is 150 out of 500, which simplifies to 0.3. Therefore, the correct answer is c. 150/500 = .3.
Explanation:The student is asking about the probability that the language spoken in a randomly chosen household from a housing project will not be English. To solve this problem, we add the number of households where Spanish is spoken to the number where languages other than English or Spanish are spoken.
This gives us 50 (Spanish speaking) + 100 (other languages) = 150 households. The total number of households is 350 (English) + 150 (non-English) = 500 households.
Thus, the probability that a randomly selected household will not speak English is the number of non-English speaking households divided by the total number of households which is 150/500 = 0.3. Therefore, the correct answer is c. 150/500 = .3.
Which expression below shows how much Paul would collect in a week if he had 40 clients receiving daily plus Sunday delivery, and 25 clients receiving Sunday delivery only?
Question is Incomplete; Complete question is given below;
Paul delivers newspapers. He charges $2.25 per week for daily plus Sunday delivery, and $1.00 per week for Sunday delivery only.
Which expression below shoes how much Paul would collect in a week if he had 40 clients receiving daily plus Sunday delivery, and 25 clients receiving Sunday delivery only?
1. 40($2.25)+25($1.00)
2. 40($1.00)+25($2.25)
3. 40($1.25)+25($2.25)
4. 65($2.25)
5. Not enough information is given.
Answer:
1. 40($2.25)+25($1.00)
Step-by-step explanation:
Given:
Delivery charges per week = $2.25
Delivery charges on Sunday = $1.00
Number of clients receiving daily = 40
Number of clients receiving only on Sundays =25
We need to find the expression which shows total amount Paul would collect in a week.
Solution:
Now we can say that;
total amount Paul would collect in a week would be equal to sum of Number of clients receiving daily multiplied by Delivery charges per week and Number of clients receiving only on Sundays multiplied by Delivery charges on Sunday.
framing in equation form we get;
total amount Paul would collect in a week = [tex]40(2.25)+25(1.00)[/tex]
Hence The expression which shows total amount Paul would collect in a week is [tex]40(2.25)+25(1.00)[/tex].
The first term in an arithmetic sequence is 1 , and the second term is 2. The difference between each pair of consecutive terms in the sequence is 1 2/5.
A) True
B) False
Answer:
B) False
Step-by-step explanation:
We are given the following in the question:
The first term in an arithmetic sequence is 1.
[tex]a_1 = a =1[/tex]
The second term in an arithmetic sequence is 2.
[tex]a_2 = 2[/tex]
Difference between each pair of consecutive terms in the sequence
[tex]=a_2-a_1\\= 2 - 1\\= 1[/tex]
Statement:
The difference between each pair of consecutive terms in the sequence is [tex]1\frac{2}{5}[/tex]
Thus, the given statement is false since the difference between each pair of consecutive terms in the sequence is equal to difference between first an second term of arithmetic sequence which is 1 not [tex]1\frac{2}{5}[/tex]
Help please! 10 pts
Find the missing side length in the right triangle below. Show your work.
Answer:
i think it is 18 or something
Step-by-step explanation:
Answer:
Side length B is 17.
Step-by-step explanation:
Use the Pythagorean Theorem a^2 + b^2 = c^2. if one of the legs is 8, and another is 15, the hypotenuse will be 17.
Recall the following study: Over a 17-year period researchers studied a sample of 707 individuals from a single community. They recorded the number of hours each individual spent watching television during adolescence and early adulthood. In later years, they recorded the number of aggressive acts by individuals in the study, as reported by parents, teachers and police. Science magazine published the results in 2002 in an article titled "Television Viewing and Aggressive Behavior during Adolescence and Adulthood." Which of the following variables could not confound the results of this study?
a. gender.
b. parental supervision and other aspects of family life.
c. poverty and neighborhood conditionds.
d. the amount of television the adolescents watch.
Answer:
Hence the answer is option c ; poverty and neighborhood conditions
Step-by-step explanation:
From the research, it is well known that both the dependent variable and independent variable will be taken into consideration before arriving at a conclusion.
A dependent variable is the variable that is been studied or measured i.e the results of a scientific research.
An independent variable is a variable that is been altered or controlled for and whose effects are compared to the results of the dependent variable, as such the results of a dependent variable is dependent on the alteration of the parameters of an independent variable.
From the question ; the dependent variable is sample of 707 individuals from a single community while the independent variable ; the number of hours each individual spent watching television during adolescence and early adulthood.
The word confound in statistics implies a variable which has a greater effects on both the dependent and the independent variable.
Hence the answer is option c ; poverty and neighborhood conditions
A different class is made up of 66% women and has 23 women in it. What is the total number of students in the class?
Divide the number of women by the percentage of women:
23 / 0.66 = 34.84
Round the answer as needed.
The total number of students in the class is 35.
What is percent?In mathematics, a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".
Now it is given that,
Percentage of women in the class = 66%
Number of women = 23
Let x be the total number of students in the class.
Now, Since Number of women = 23
Therefore,
x of 66% = 23
or, 66x/100 = 23
or, 66x = 23*100
or, x = 2300/66
or, x = 34.84
⇒ x ≈ 35
Thus, the total number of students in the class is 35.
To learn more about percent:
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