Answer:
[tex]A=\$6,768.75[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=10\ years\\ P=\$5,600\\ r=0.019\\n=4[/tex]
substitute in the formula above
[tex]A=\$5,600(1+\frac{0.019}{4})^{4*10}[/tex]
[tex]A=\$5,600(1.00475)^{40}=\$6,768.75[/tex]
Suppose the volume of a cylinder is 169.65 ft cubes and the height is twice the radius what is the radius of the cylinder.
Answer:
The radius of the cylinder is [tex]r=3\ ft[/tex]
Step-by-step explanation:
we know that
The volume of the cylinder is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]V=169.65\ ft^{3}[/tex]
[tex]h=2r\ ft[/tex]
assume
[tex]\pi=3.14[/tex]
substitute the values and solve for r
[tex]169.65=(3.14)r^{2} (2r)[/tex]
[tex]169.65=(6.28)r^{3}[/tex]
[tex]r^{3}=169.65/(6.28)[/tex]
[tex]r=3\ ft[/tex]
Solve the equation below for x.
-1/2 (3x-4)=11
Answer:
x= −6
Step-by-step explanation:
you are supposed to isolate the variable by dividing both sides by the factor that do not contain the variable
ANSWER
C 6
EXPLANATION
The given equation is
[tex] - \frac{1}{2} (3x - 4) = 11[/tex]
Multiply through by -2 to get:
[tex] - \frac{1}{2} \times - 2(3x - 4) = 11 \times - 2[/tex]
[tex]3x - 4 = - 22[/tex]
Add 4 to both sides of the equation:
[tex]3x = - 22 + 4[/tex]
[tex]3x = - 18[/tex]
Divide both sides by 3.
[tex]x= - \frac{18}{3} [/tex]
This simplifies to
[tex]x = - 6[/tex]
The correct answer is C
WILL GIVE BRAINLEST!! There are (49)5⋅ 40 books at the library. What is the total number of books at the library? (4 points)
Select one:
a. 49
b. 445
c. 446
d. 1
I agree with ZOMBIE0O That the question is somewhat confusing. I see two options as being possible, depending on the nature of the question. The first option, 49, is a possibility. This would be the answer if the second two numbers were insignificant to the number of books (for example, if it were describing the dimensions of the books as 5•40). The second option is also a possibility, if the question is wanting you to add (49•5)+(5•40).
Answer: The first one is incorect. It may be the second one
Step-by-step explanation:
Suppose 67% of all teenagers own a laptop and 29% of all teenagers own a laptop and a tablet. What is the
probability that a teenager owns a tablet given that the teenager owns a laptop?
19%
38%
43%
please help ASAP! will give brainlist.
The Empire State building is 1250 feet tall. At 3:00 PM, Pablo stands next to the building and has an 8 foot shadow. If he is 6 feet tall, how long is the Empire State building‘s shadow at 3:00 PM.
A. 166.67 feet.
B. 16.67 feet.
C. 1666.67 feet.
C. 1.67 feet.
Answer:
C
Step-by-step explanation:
It would have to be C because that is the only one longer than the height of the Empire State Building and you can see it has to be larger by the 8:6 ratio between Pablo's shadow and Pablo's height
How many ways can 5 basketball players be listed in order in a program?
1
120
720
24
There are 120 ways we can list 5 basketball players in order in a program.
What are permutations?Permutations are the selection in order from a given set of values. Here, the order is of importance.
We can find the number of ways of listing the basketball players below:There are five basketball players.
We are asked to find the number of ways in which they can be listed in order.
We can use permutations to find the answer.
We can find the number of ways in which the basketball players can be listed in order as follows:
Total number of ways = 5*4*3*2*1
= 20*3*2*1
= 60*2*1
= 120 ways.
The number of ways in which the basketball players can be listed in order is found. The basketball ball can be listed in 120 ways.
Therefore, we have found that there are 120 ways we can list 5 basketball players in order in a program.
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choose all that applies!!! thanks
Answer:
None of the above
Step-by-step explanation:
2 r + ( t + r )
2 r + t + r
3 r + t
I need help ASSAP please show work
Answer:
1. J=10
2. L<=7
3. h>32
4. O=15
5. q<=17
Step-by-step explanation:
J/10+4=5
subtract 4 from both sides
j/10=1
multiply 10 by both sides
j=10
-7L+5>=-49
subtract 5 from both sides
-7L>=-49
divide by -7 and change your symbol
L<=7
9+h/2>16
subtract 9 from both sides
h/2>16
multiply by 2 on both sides
h>32
O-5/2=5
multiply by 2 on each side
O-5=10
add 5 on each side
O=15
8q+2<=138
subtract 2 from both sides
8q<=136
divide by 8 on both sides
q<=17
There are 10 fish tanks at a pet store. The data shows the number of fish in each tank. 30,32,41,38,42,30,35,38,40,45. Create a histogram of this data.
The histogram displays the distribution of fish counts in 10 tanks, ranging from 30 to 45 fish, with varying frequencies in each interval.
To create a histogram of the given data showing the number of fish in each tank, we'll first need to organize the data into intervals or bins and then count the frequency of fish counts falling within each interval. Here's how we can do it:
1. Determine the intervals or bins to represent the range of fish counts.
2. Count the frequency of fish counts falling within each interval.
3. Draw the histogram with the intervals on the x-axis and the frequency of fish counts on the y-axis.
Given the data: 30, 32, 41, 38, 42, 30, 35, 38, 40, 45
Let's choose intervals of width 5 starting from 25 to 50. Then, we count how many fish counts fall within each interval:
Interval 25-29: 0
Interval 30-34: 3 (30, 32, 30)
Interval 35-39: 3 (38, 35, 38)
Interval 40-44: 3 (41, 42, 40)
Interval 45-49: 1 (45)
Now, we can draw the histogram:
```
Frequency
| *
| * *
| * * * *
| * * * *
|_____________________
25 30 35 40 45
```
Each asterisk (*) represents one tank with the corresponding number of fish. The x-axis represents the intervals, and the y-axis represents the frequency of fish counts.
This histogram visually represents the distribution of fish counts in the 10 fish tanks at the pet store.
Need serious help with these definitions please!!
Answer:
a) Ellipse
b) Sphere
c) Great circle
d) Triangle
e) Circle
Step-by-step explanation:
A) Diagonal cross section of cylinder
Ellipse
B) Shape created when a semi circle is rotated about y axis
Sphere
C) Diagonal cross section through the widest part of sphere
Great Circle
D) Perpendicular cross section of cone
Triangle
E) Cross section parallel to the base of cone
Circle.
Someone Please help me
Hello There!
Area = ½( 8 * 6) = 24
Answer:
Step-by-step explanation:
Answer: A=24
To figure this out multiply 8 and 6 to get 48.
A triangle is half of a square.
Divide 48 by 2 to get 24.
:)
I need help on both please
Answer:
12.00, 37.70
Step-by-step explanation:
Area of a circle is:
A = πr²
We know A = 113.1 ft², so:
113.1 = πr²
r² = 36.00
r = 6.00
The diameter is double the radius, so:
d = 2r
d = 12.00
The diameter is 12 feet.
The circumference is:
C = 2πr
We found that r = 6 ft, so:
C = 2π (6)
C = 37.70
The circumference is 37.70 ft.
Five spheres are being painted for a display at a store. If the diameter of each sphere is
7 centimeters, which value is closest to the total surface area that will be painted?
Using the surface area of a sphere, it is found that the total surface area that will be painted is of 769.69 cm².
What is the surface area of a sphere?The surface area of a sphere of radius r is given by:
[tex]S = 4\pi r^2[/tex]
In this problem, we have five spheres, with radius(half the diameter) r = 3.5 cm, hence the total surface area in square centimeters is given by:
[tex]S_t = 5 \times 4\pi \times 3.5^2 = 769.69[/tex]
The total surface area that will be painted is of 769.69 cm².
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which best compares the pair of intersecting rays with the angle
A. The rays and angle have two end points.
B. The rays have a number of points lying on them, and the angle has only one point lying on it.
C. The rays extend infinitely, and the angle is made by rays which have a common endpoint
D. The rays and the angle have their lines extending in opposite directions
Answer:
C)The rays extend infinitely, and the angle is made by rays which have a common endpoint
Step-by-step explanation:
A ray is a line segment having one end point while extending in the other/opposite direction
An angle is made by two lines(rays) with common end point (vertex)
So when an angle is formed by the pair of intersecting rays the following options are ruled out
A) rays cannot have two end points
B) As rays extends infinitely in one direction, so having number of points is wrong
D)angles do not have lines
the following is best explanation is C
The rays extend infinitely, and the angle is made by rays which have a common endpoint !
Answer:
I'm pretty sure that the answer is C. The rays extend infinitely, and the angle is made by rays which have a common endpoint! It seems like the most correct answer of them all!
Which BEST describes the syntax in this excerpt?
A) The arrangement of words and phrases indicates erroneous judgment and bias.
B) The arrangement of words and phrases suggests repressed childhood memories.
C) The arrangement of words and phrases implies affection and compassion for family.
D) The arrangement of words and phrases suggests a thought process that flits from thought to thought.
Answer:
The answer is D.The arrangement of words and phrases suggests a thought process that flits from thought to thought.
Step-by-step explanation:
The best description of the syntax in the given text indicates that the arrangement of words and phrases suggests a thought process that moves erratically from one thought to another, reflecting the text's stream-of-consciousness style and mixed sentence constructions.
Explanation:The question involves analyzing an excerpt for the syntax used, which refers to the manner by which words are organized into sentences. Among the given choices, the best description that matches the details provided about the text would be D) The arrangement of words and phrases suggests a thought process that flits from thought to thought. This is supported by the description of the text which includes mixed sentence constructions, lack of consistency in grammatical paths, and an attempt by the author to meet or challenge conventional expectations in rhetorically effective ways. The text also mentions the replication of a child's growing awareness and a stream-of-consciousness style which implies a thought process that is not linear but more erratic and intuitive, which is characteristic of syntax that flits from thought to thought.
5. Suppose the stacks of cases of bottled water on the shelves of a major grocery store follow
the graph of the equation 4r + y= 36 where r is hours after the store opens and y is the
number of cases on the shelves. All of the water is sold. What is the domain of the
variable x?
© (0,6]
® (0,91
© (0,12]
© (-2,91
ANSWER
C [0,9]
EXPLANATION
The number of bottled water on the shelf is modeled by the function
[tex]4x + y = 36[/tex]
We make y the subject to obtain;
[tex]y = 36 - 4x[/tex]
When no water is sold, then x=0.
When all the bottles are sold, then
[tex]4x - 36 = 0[/tex]
[tex]4x = 36[/tex]
[tex]x = \frac{36}{4} = 9[/tex]
Therefore the store cannot sell more than 9 bottles.
The domain is [0,9]
In the figure, three line segments cross at a common point. Angle A is 45°, and angle E is 85°. What is the measurement of angle F?
A.40°
B.45°
C.50°
D.85°
Answer:
C
Step-by-step explanation:
We know a straight angle is 180 degrees ( a straight line).
Looking at the figure, we can say that A + F + E = 180 (since it creates a straight line).
We know A = 45, E = 85, plugging these into the equation, we can solve for F:
A + F + E = 180
45 + F + 85 = 180
130 + F = 180
F = 180 - 130
F = 50
Answer choice C is right.
If f(x) = -2x^2 + x - 5, what is f(3)?
Answer:
-20
Step-by-step explanation:
-2(3^2)+3-5
-2(9)+3-5
-18+3-5
-18-2
-20
Answer:
-20
Step-by-step explanation:
The guy before me said so
Find X. Assume that any segment that appears to be tangent is tangent
Check the picture below.
The answer above is corrected
Find the reference angle of -150 degrees
Final answer:
The reference angle of -150 degrees is found by first determining the positive angle in standard position by adding 180 degrees, resulting in 330 degrees. Since 330 degrees is in the fourth quadrant, we subtract it from 360 degrees to get the reference angle, which is 30 degrees.
Explanation:
To find the reference angle of -150 degrees, we must determine the smallest angle between the terminal side of the given angle and the x-axis. A reference angle is always positive and measured between 0 to 90 degrees. Since -150 degrees is in the third quadrant when considering standard position in a coordinate system, where angles are measured counterclockwise from the positive x-axis, you add 180 degrees to determine its corresponding positive angle in the second quadrant. Therefore, the reference angle of -150 degrees is:
180° - (-150°) = 180° + 150° = 330°
Since 330 degrees is in the fourth quadrant, to find the reference angle, we subtract it from 360 degrees:
360° - 330° = 30°
Thus, the reference angle for -150 degrees is 30 degrees.
15,000 blue trout were released into the Meherrin River for a scientific study. The function, f(x) = 15,000( _ 9 8 ) x , represents the number of blue trout after x years. In 5 years, what happens to the population?
Final answer:
The population of 15,000 blue trout is expected to increase to approximately 36,621 individuals after 5 years using the given growth function.
Explanation:
The question asks what happens to the population of 15,000 blue trout released into the Meherrin River after 5 years, given the function f(x) = 15,000(9/8)^x. To find out the population after 5 years, we substitute x = 5 into the function. The calculation proceeds as follows:
f(5) = 15,000 * (9/8)^5= 15,000 * (2.44140625)= 36,621.09375Therefore, after 5 years, the blue trout population is expected to increase to approximately 36,621 individuals, assuming ideal conditions without factors like predation or disease significantly impacting the population.
Paul's car is 12 feet long. He is making a model of his car that is 1/7 the actual size. What is the length of the model?
Answer:
2 feet
Step-by-step explanation:
The model is the actual size. This means that for every 6 feet measured on the actual car, the model will span 1 foot.
Note that the model length is in the numerator and the actual length is in the denominator.
Thus, if the car is 12 feet long and L represents the length of the model, then write the ratio as .
Set the two ratios equal to each other to obtain the proportion below.
The length of the model is given below.
Therefore, the length of the model is feet.
The question is about scale conversion in mathematics. Given that Paul's full-sized car is 12 feet long and his model is 1/7th the size of the actual car, the length of the model car would be about 1.71 feet.
Explanation:The question involves a scale conversion in mathematics. If Paul's car is 12 feet long in real life, and his model is going to be 1/7th the size of the actual car, we need to determine the length of the model using this scaling factor.
To find out the length of the model, you multiply the actual length of the car by the scale factor, which in this case is 1/7. So, the calculation would be as follows:
12 feet (length of the car) * 1/7 (scale factor) = 1.71 feet (approx)
Therefore, the length of Paul's model car would be approximately 1.71 feet.
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Find the equation for the volume of a cone and the volume of a cylinder; both with a base diameter of 30 inches and a height of 7 inches.
Answer:
Cone= [tex]\frac{1}{3} *pi*r^{2}*h[/tex] Cylinder= [tex]pi*r^{2} * h[/tex]
Step-by-step explanation:
Cone volume= 1/3 × π × r²×h Cylinder volume= π × r² × h
1/3 × π × 15²×7 π × 15² × 7
1/3 × π × 225×7 π × 225 × 7
525π 1575π
what is the distance between the points (-6, 7) and (-1, 1)
Answer:
sqrt(61)
Step-by-step explanation:
The distance between two points is found by the following formula
d = sqrt (( x2-x1)^2 + (y2-y1)^2 )
= sqrt( (-1--6)^2 + (1-7)^2)
= sqrt( (-1+6)^2 + (1-7)^2)
= sqrt( (5)^2 + (6)^2)
= sqrt( 25 + 36)
= sqrt(61)
What is the ratio for the structure areas of the rectangular prisms shown below, given that they are similar and that the ratio of their edge lengths is 7:3?
Answer:
The ratio between their surface areas = 49/9
Step-by-step explanation:
* Lets revise the similarity of to prism
- If two prisms are similar, then there is a ratio between their
corresponding dimensions
- There is a ratio between their volumes and surface area
- The the ratio between their corresponding dimensions is a/b,
then the ratio between their volumes is (a/b)³ and the ratio between
their surface area is (a/b)²
* Lets solve the problem
∵ The two rectangular prisms are similar
∵ The ratio between their corresponding sides is 7/3
∴ The ratio between their surface areas = (7/3)² = 49/9
* Lets check our answer
∵ The surface area of the rectangular prism is :
S.A = Perimeter of base × its height + 2 × area of its base
- Find the surface area of the large prism
∵ The base has dimensions 14 units and 21 units
∵ Its height = 7 units
∵ The base is a rectangle
∵ Perimeter the rectangle = 2L + 2W
∵ Area the rectangle = L × W
∴ S.A = (2×14 + 2×21) × 7 + 2(14 × 21) = 1078 unit²
- Find the surface area of the small prism
∵ The base has dimensions 6 units and 9 units
∵ Its height = 3 units
∴ S.A = (2×6 + 2×9) × 3 + 2(6 × 9) = 198 unit²
- Lets find the ratio between them
∴ The ratio between surface areas of them = 1078/198 = 49/9
- It is the same with the answer above so we are right
the diagonals of a rhombus are 8 and 10 . the area of the rhombus is
20
40
80
Answer:
Area = 40
Step-by-step explanation:
The area of a rhombus is
Area = a*b/2
Where a and b are the lengths of the diagonals.
Area = 8 * 10/2
Area = 40
Answer:
40
Step-by-step explanation:
In a rhombus the two diagonals intersect perpendicularly. So you can see a rhombus as the union of two triangles whose base is one of the diagonals of the rhombus and whose height is the half of the other diagonal.
Therfor you can calculate the area of the rhombus calculating the area of the two triangles that are the same.
In this case the area of each triangle must be [tex]\frac{4\times 10}{2}= 20[/tex] (if you take the 10-lenght-side as the basis of the triangles).
Hence the area of the rhombus is 40 because is the double of the area of each triangle.
three vertices of a rectangle are located at (5,3), (7,1), and (1,-1). what are the coordinates of the fourth vertex?
I first plotted the three points and from from their position it was clear which pairs to join to start a rectangle.
At this point you need to check to make sure the angle at B is a right angle. Find the slope of the line segments AB and BC and check that the product of the slopes is -1.
From the diagram you can now see where the fourth point D has to be. If AB and CD are parallel then D must be 3 units to the left of C and 2 units above C. Find the coordinates of D and then check by finding the slopes of CD and DA and showing that the angle at D is a right angle.
I hope this helps
Answer:(3,-3)
Step-by-step explanation:
which sequence of transformations on preimage ABC will NOT produce the image A’B’C
A. reflection across the x-axis followed by a reflection across the y-axis
B. reflection across the y-axis followed by a rotation 90° clockwise about the origin
C. reflection across the line y= -x followed by a rotation 180° counterclockwise about the origin
D. rotation 180° clockwise about the origin followed by a reflection across the line y= -x
E. reflection across the line y = x
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
6. The Grand Theater has 13,451 seats. If 15,340 people need to be seated in the theater for a music concert, write and solve
an equation to find the number of seats that need to be added to the theater to accommodate all the people.
Hey There!
To find how many seats are needed to be added, you need to subtract 15,340 by 13,451. You need to find the difference between the seats you need and the seats you have. So...
15,340-13,451= 1,889
You need to add 1,889 more seats.
Hope This helped!
Godspeed,
SongBird
Answer:
The required equation is 13451 + x = 15340,
1,889 seats are needed.
Step-by-step explanation:
Given,
Original number of seats = 13,451,
Also, the number of people who needed to be seated = 15,340,
Let x seats were added,
So, the new number of seats = 13451 + x
Thus, 15,340 will get the seat,
If total seats = 15340
⇒ 13451 + x = 15340
Which is the required equation,
Subtract 13451 on both sides,
We get,
x = 1889
Hence, 1889 seats are needed to accommodate all the people.
What is the value of the expression below?
96 divided (-16)
Choices:
a.) -8
b.) 6
c.) -6
d.) 8
Please help me!!!
-6 because 96 divided by 16 is, 6. But since it's -16 it would be a negative, making the answer -6!
Answer:
this is my answer -6 or 16 whatever question you had
Step-by-step explanation: