The required simple interest is given as $17.
Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.
Here,
Principal = $850
Rate = 4%
Time = 6 months
Simple interest = principal × rate/100 × time / 12
= 850 × 4 / 100 × 6/12
= 850 × 0.04 × 1/2
= $17
Thus, the required simple interest is $17.
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Please answer both questions
1. A floor plan of a house was drawn using a scale of 1 cm = 1.5 m. The family room in the plan is pictured as 5 cm by 4 cm. What is the area, in square meters, of the actual family room. (please see picture below)
A: 20
B: 27
C: 30
D: 45
2. Liz chose C as the correct answer. How did she get that answer?
Answer in complete sentences.
Answer:
D. 45
Step-by-step explanation:
1. The solution to the question above is answered in the attached picture.
2. Liz is wrong for choosing option C as answer. Liz actually performed this operation to get 30: 1.5 × 5 × 4 = 30.
Sally has 56 apples and she wants to share for her 14 friends. How? Explain
Answer:
4 apples per friend
Step-by-step explanation:
Step 1: Find how much she can share for each friend
56 / 14
4 apples per friend
Answer: 4 apples per friend
To find how many apples each friend gets, we can divide.
56 / 14 = 4 apples per friend.
Best of Luck!
For each sequence, find the first 4 terms and the 10th term.
a.) n + 5
b.) 2n – 1
The first 4 terms of sequences a) n + 5 and b) 2n - 1 are calculated, as well as the 10th term of each sequence.
Explanation:For the sequence a) n + 5:
First 4 terms: 1 + 5 = 6, 2 + 5 = 7, 3 + 5 = 8, 4 + 5 = 9
10th term = 10 + 5 = 15
For the sequence b) 2n - 1:
First 4 terms: 2(1) - 1 = 1, 2(2) - 1 = 3, 2(3) - 1 = 5, 2(4) - 1 = 7
10th term = 2(10) - 1 = 19
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Use the rules of exponents to evaluate or simplity. Write without negative exponent.
y^-5/y^-2
Answer:
Step-by-step explanation:
Answer:1/y^3
Step-by-step explanation:
y^(-5)/y^(-2)
(1/y^5)/(1/y^2)
(1/y^5)x(y^2/1)
(1 x y^2)/(1 x y^5)
(y^2)/(y^5)
(yxy)/(yxyxyxyxy)
1/y^3
Josie and her brother, Sean both have a job after school. For every $5.50 that Josie earns, her brother earns $6.50. On Tuesday, they earned $30.00. How much money did Josie earn? How much did her brother earn?
Answer:
The amount earned by Josie was $13.75 and the amount earned by her brother was $16.25
Step-by-step explanation:
Let
x ----> amount earned by Josie
y ---> amount earned by her brother
we know that
[tex]\frac{x}{y}=\frac{5.50}{6.50}[/tex]
[tex]x=\frac{5.50}{6.50}y[/tex] ------> equation A
[tex]x+y=30.00[/tex] -----> equation B
Solve the system by substitution
Substitute equation A in equation B
[tex]\frac{5.50}{6.50}y+y=30.00[/tex]
solve for y
[tex]\frac{12.00}{6.50}y=30.00[/tex]
[tex]y=6.50(30.00)/12.00\\y=\$16.25[/tex]
Find the value of x
[tex]x=\frac{5.50}{6.50}(16.25)\\\\x=\$13.75[/tex]
therefore
The amount earned by Josie was $13.75 and the amount earned by her brother was $16.25
Answer:
Step-by-step explanation:
Given that For every $5.50 that Josie earns, her brother earns $6.50.
Tuesday, they earned $30.00
Using the ratio and the proportional
Josie : Sean : Total
5.5 : 6.5 : 12
x : y : 30
So, x = 5.5 * 30/12 = 13.75
And y = 6.5 *30/12 = 16.25
So, Josie will earn $13.75 and her brother Sean will earn $16.25
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−1.2·(−0.4−(−4.6)−(+4.7))
Answer:
0.6
Step-by-step explanation:
https://lh5.googleusercontent.com/BTB8IVPp1M9ftWYrmUv4V29JTOIu-fUaQRDbERGKuRvHwen-iiK29m3v1rhGvp6kX40Rv0TBORmiPdtdKLoAv9vuG5Hp5Zyxagl7seoinGhvF_GybYwC6CUpHVb5=w621
Answer:
it won't let me see the link
Answer:
Option H, 1.428 * 10^-3
Step-by-step explanation:
Step 1: Convert 0.001429 into scientific notation
To have the number in scientific, you need to have to have a number then the decimal point then the rest of the numbers.
0.001429
1.429
Next, you need to find out what you multiply 1.429 to get 0.001429
1.429 * 0.001
1.428 * 10^-3
Answer: Option H, 1.428 * 10^-3
On the first four exams, Steve's grades are 70, 76, 88, and 92. There is still one more exam and he is hoping to earn a B in the course. This will occur if the average of his first five exam grades is greater than or equal to 80 and less than 90. What range of grades on the fifth exam will result in earning a B?
The range of grades on the fifth exam that results in earning a B is ___? If the highest grade is 100, then
_____.
The range of grades on the fifth exam that will result in Steve earning a B in the course is 74 to 100 inclusive, as he needs at least a 74 to bring his average up to 80, and any score above 100 is not possible.
Explanation:To calculate the range of grades on the fifth exam that will ensure Steve earns a B in the course, we need to determine what final score on the fifth exam will result in an average between 80 and 90 for all five exams.
Let's first add up the scores from Steve's first four exams:
70 + 76 + 88 + 92 = 326To achieve an average of at least 80, the total sum of all five exam grades must be at least 400 (because 80 is the minimum average for a B, and 80 times 5 exams equals 400). So, the minimum score Steve needs on the fifth exam is:
400 - 326 = 74Steve needs at least a 74 on the fifth exam to achieve an average of 80. If we want to ensure the average does not reach 90, the total sum of all five exam grades must be less than 450 (because 90 times 5 exams equals 450). The highest score Steve can get on the fifth exam and still remain in the B range is:
450 - 326 = 124However, since Steve cannot score more than 100 on the fifth exam, the maximum score remains capped at 100.
Therefore, the range of grades on the fifth exam that will result in earning a B is 74 to 100 inclusive.
What is 87+x=100?
A. 13
B.41
C. 11
D. 20
Hey there!
When we solve for x, we need to isolate x on one side.
This is just a one-step equation, meaning there is only one thing we need to do to solve for x, or isolate x.
Starting with 87 + x = 100:
Subtract 87 from each side.
87 - 87 + x = 100 - 87
Simplify. Subtracting 87 from 87 makes it equal to 0.
x = 13
Your answer is A. 13.
Hope this helps!
Hello!
The answer to the problem is A) 13
Move all terms containing x to the left, all other terms to the right.
Add '-87' to each side of the equation
[tex]87 + -87 + x = 100 + -87[/tex]
Combine like terms: 87 + -87 = 0
[tex]0 + x = 100 + -87[/tex]
[tex]x = 100 + -87[/tex]
Get your answer
[tex]x=13[/tex]
Hope This Helps!
Find the dimensions of the square
Area=441cm over 2
Answer:
each side is 55.125cm
Step-by-step explanation:
you have to divide the area by 2
then do 441/2=220.5
then divide this by 4 because a square has 4 equal sides so 220.5/4=55.125
A bag contains two red marbles and three blue marbles. You randomly pick a marble. Find the number of possible outcomes in the sample space.
Final answer:
The sample space for picking a single marble from a bag containing two red and three blue marbles has 5 outcomes, represented as R1, R2, B1, B2, B3.
Explanation:
To determine the number of possible outcomes in the sample space when you randomly pick a marble from a bag containing two red marbles and three blue marbles, you must consider each marble as a distinct possibility. Since there are 5 marbles in total, each draw from the bag has 5 potential outcomes. It does not matter the color of the marble; each draw represents a distinct event with 5 possible outcomes.
Therefore, the sample space, which represents all possible outcomes, contains 5 elements. These outcomes can be represented as R1, R2, B1, B2, and B3, where 'R' stands for red marbles, 'B' stands for blue marbles, and the numbers differentiate between the individual marbles.
Anyone knows how to find x for number #7 & #8 ?
Answer:
7) 80 degrees
8) x = 73 and the angle(KEF) = 147
Step-by-step explanation:
360 - 160 = 200
200 - 53 = 147
2x+1=147
x = 73
Circle A is congruent to circle J. Chords BC, CF, EG, KL, LO, and MP are congruent.
Circles A and J are congruent. Chords B C, C F, E G, K L, L O, and M P are congruent.
Which arcs are congruent? Check all that apply.
Arc B C ≅ Arc M P
Arc B C ≅ Arc M O
Arc C F ≅ Arc K P
Arc E G ≅ Arc K L
Arc L O ≅ Arc M P
Answer:
its 1,4,5 i just did the test
Step-by-step explanation: //
Answer:
1,4,5
Step-by-step explanation:
A town has a population of 14000 and grows at 5% every year. What will be the population after 14 years, to the nearest whole number?
Using the exponential growth formula, the town's population of 14,000 growing at a rate of 5% per year will reach 27,706 after 14 years.
To calculate the future population of a town with a given growth rate, we use the formula for exponential growth, which is:
[tex]P_{t} = P_0 (1 + r)^t[/tex]
Given a town with an initial population (P0) of 14,000 and a growth rate (r) of 5% or 0.05, want to find the population after 14 years (t).
Plugging in the values into the formula:
P(14) = 14,000 × (1 + 0.05)¹⁴
P(14) = 14,000 (1.05)¹⁴
P(14) = 14,000 1.9791
P(14) = 27,706.24
To the nearest whole number, the population after 14 years will be 27,706.
Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no
triangles
12 ft 7ft. 14 ft
A unique triangle
B many different triangles
C no triangles
Answer:
A unique triangle
Step-by-step explanation:
12+7 > 14
12 + 14 > 7
7 + 14 > 12
By the Triangle Inequality Theorem, 12, 7, 14 can make a triangle ( not take triangle's direction or in which quadrant into our consideration)
What are the First 4 terms 12-n
Answer:
11, 10, 9, 8
Step-by-step explanation:
To find the first 4 terms substitute n = 1, 2, 3, 4 into the expression, that is
12 - 1 = 11
12 - 2 = 10
12 - 3 = 9
12 - 4 = 8
The first 4 terms are 11, 10, 9, 8
The first four terms of the sequence defined by the expression 12-n are 11, 10, 9, and 8 when substituting the first four natural numbers for n.
The first four terms of the sequence defined by the expression 12-n can be determined by substituting the first four natural numbers for n. Let's calculate the first four terms of the sequence step-by-step.
For n = 1: 12 - 1 = 11
For n = 2: 12 - 2 = 10
For n = 3: 12 - 3 = 9
For n = 4: 12 - 4 = 8.
Therefore, the first four terms of the sequence are 11, 10, 9, and 8.
the end of the year, after taxes, a manufacturing firm has $230,000 in revenues, $90,000 in production costs, and $140,000 in opportunity costs. How much economic profit did the firm make?
Answer: 50
Step-by-step explanation:
Final answer:
The firm's economic profit is calculated by subtracting both explicit and implicit costs from the total revenues. Upon performing this calculation, we determine that the firm made an economic profit of $0 since the costs equaled the revenues.
Explanation:
To calculate the economic profit of the firm, we subtract both explicit (actual monetary payments) and implicit (opportunity) costs from the total revenues. The firm has $230,000 in revenues after taxes, $90,000 in production costs (explicit costs), and $140,000 in opportunity costs (implicit costs). Therefore, the calculation for economic profit is as follows:
Total Revenues - Explicit Costs - Implicit Costs = Economic Profit
$230,000 - $90,000 - $140,000 = $0
So, the firm did not make any economic profit, as the explicit and implicit costs equaled the total revenues.
y = 3x
5x + 2y = 44
Answer:
x=4
Step-by-step explanation:
since Y is 3x, then substitute the y with 3x which is 2*3x=5x and then plus the 5x which is 11x in total which equals to 44 (11x=44) then divide that you get: x=11.
Answer:
x=4
Step-by-step explanation:
substitute the value of y
5x+2(3x)=44
5x+6x=44
11x=44
divide both sides by 11
x=4
What are the advantages of using percentages to represent ratio
The advantages of using percentages are that they all are on the same scale (1/100) making it easier to work with compared to ratios.
We need to write the advantages of using percentages to represent the ratio.
What is the percentage?The percentage is a fraction or a ratio in which the value of the whole is always 100.
The percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Ratio: The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.
The advantages of using percentages are that they all are to the same scale (1/100) making it easier to work with compared to ratios, they can be converted to decimals very quickly, and percentages can be used to show the change in a number (20% of 50: 50% of 10), telling you what the original number is (10:5 or 2:1 doesn’t give you the starting numbers).
Therefore, the advantages of using percentages are that they all are on the same scale (1/100) making it easier to work with compared to ratios.
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Each statement describes a transformation of the graph of y-in x. Which statement correctly describes the graph of y-In(x - 7) + 3?
A.
It is the graph of y-In x translated 3 units up and 7 units to the left.
B.
It is the graph of y=in x translated 7 units down and 3 units to the right.
C.
It is the graph of y=In x translated 7 units up and 3 units to the right.
D.
It is the graph of y= In x translated 3 units up and 7 units to the right.
Answer:
It is the graph of F translated 3 units up and 7 units to the right
Step-by-step explanation:
this is for PLATO users
A building 50 feet high casts a shadow 68 feet long.
Find the measure of the angle of elevation of the sun
Round you answers to the nearest whole degree.
Angle of Elevation =
degrees
Answer:
angle of elevation=36°
Step-by-step explanation:
tan ~\theta=\frac{height}{base} =\frac{50}{68} =\frac{25}{34} \\\theta=tan^{-1}(\frac{25}{34}) \approx 36
16,48, 144, ...
Find the 6th term.
Answer:
3,888
Step-by-step explanation:
3•16=48
48•3=144
144•3=432
432•3=1,296
1,296•33,888
Answer:
3, 888
Step-by-step explanation:
Just multiply by 3 to get the next number
or
Nth term = 16 × (3^N-1)
What are possible values of x and y, if
[tex]2 \sqrt[3]{3xy} = - 4 \sqrt[3]{18} [/tex]
Answer:
y = -48/x . . . . . infinite possibilitiesfor integer solutions, see belowStep-by-step explanation:
The equation can be put into more conventional form:
[tex]2\sqrt[3]{3xy}=-4\sqrt[3]{18} \qquad\text{given}\\\\\sqrt[3]{3xy}=-2\sqrt[3]{18} \qquad\text{divide by 2}\\\\3xy=-8\cdot 18 \qquad\text{cube both sides}\\\\y=\dfrac{-48}{x} \qquad\text{divide by $3x$}[/tex]
This shows an inverse relationship between x and y. No specific values are indicated. There are an infinite number of possible pairs of values for x and y.
__
Possible integer values are ...
(x, y) ∈ {(-1, 48), (-2, 24), (-3, 16), (-4, 12), (-6, 8), (-8, 6), (-12, 4), (-16, 3), (-24, 2), (-48, 1), (1, -48), (2, -24), (3, -16), (4, -12), (6, -8), (8, -6), (12, -4), (16, -3), (24, -2), (48, -1)}
Date:
You roll a fair dice. What is the probability that you obtain:
(a) a five
(b) a three, (c) an even number,
(d) a multiple of 3,
(e)
a number less than 6?
4.
Ajar contains 4 red balls, 3 green balls and 5 yellow balls. One ball is taken
at random from the jar. What is the probability that it is:
(a) green,
(b) med
(e) yellow
(d) not red,
(e)
yellow or red?
6.
A spinner is numbered as shown in the diagram.
Each score is equally likely to occur.
What is the probability of scoring
(a) 1,
(b) 2,
(d) 4,
(c) 5,
( a number less than 6?
Find the probability of each outcome if a computer randomly
chooses a letter in the word "mathematical."
5. the lettert 6. the letter a ore 7 the letter d
8. not an m
Answer:
#3 1/6, 1/6, 1/2, 1/3, 5/6.
#4 3/12, 4/12, 5/12, 8/12, 9/12
Step-by-step explanation:
#3 is numbers out of six (fractions).
#4 is the same thing. You add all of the numbers (4, 3, and 5) to get the total and then you subtract to get the probability.
These are all I know.
Does 36x+24=12(x+2+2x) , have no solution, one solution, many solutions?
Answer:
No solution
Step-by-step explanation:
Answer:
36x+24=12(3x+2)
36x+24=12*3x+12*2
36x+24=36x+24
36x-36x=24-24
0=0
Have many solutions is the answer
Step-by-step explanation:
In every way I choose the value of x this equation is true
what is another way to write 138-(-89)?
Another way of writing 138 - (- 89) is 138 + 89 which is 227.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
We know negative distribution to a negative sign is positive.
The given expression is 138 - (- 89).
= 138 + 89.
= 227.
The sign distribution are (-, -) = +, (+, +) = +, (-, +) = -, (+, -) = -.
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Which equation is true for the function h(x) = 16*?
Answer:
opiton b
Step-by-step explanation:
To find out which equation satisfies h(x) we need to check with each option
We plug in x value
A) h(–1.25) = –0.5
Plug in -1.25 for x in h(x) = 16^x
That is not true
B) h(–0.5) = 0.25
Plug in -0.5 for x
That is true.
C) h(0.75) = 12
Plug in 0.75 for x
That is not true.
D) h(1.25) = 20
Plug in 1.25 for x
That is not true
Nathan bought a pair of boots
for $80 and 2 shirts for $20
each. The sales tax is 7.5%.
How much did Nathan pay for
all the items, including tax?
Justify your reasoning.
NEED HELP FOR HOMEWORK WILL MARK BRAINLEST:)
Answer:
$129
Step-by-step explanation:
80 + 2(20) = 80 + 40 = 120
With tax: 100 + 7.5 = 107.5%
107.5/100 × 120
129
Answer:
129
Step-by-step explanation:
First find the cost for how much was purchased
boots: 80
2 shirts: 2*20 = 40
80+40 = 120
The tax is the cost times the tax rate
tax = 120 * 7.5%
= 120 * .075
9
The total cost is the cot plus the tax
total cost = 120+9
=129
Match the following pair of angles with their respective definitions.HELP
Answer:
Step-by-step explanation:
3 and 7 - corresponding
2 and 7 - alt exterior
4 and 5 - alt interior
3 and 6 - alt interior
Answer:
3 and 7 are Corresponding Angles
2 and 7 are Alternate Exterior Angles
4 and 5 are Alternate Interior Angles
3 and 6 are Alternate Interior Angles
Step-by-step explanation
3 and 7 are in the same place as each other. 2 and 7 are alternate and on the outside (not in between the 2 horizontal lines) leaving the other 2 which are alternate and on the inside.
Solve.
89.20 - 4.099
Help
Answer: 85.101
Step-by-step explanation:
89.20 - 4.099
= 85.101