A survey estimates the current average cost of college to be $34,179.

(a) If the average cost of college increased by 7.4% each year, what will be the average cost of college 15 years from now?

(b) If a savings plan offers a rate of 5.4% compounded continuously, how much should be put in the plan now to pay for 1 year of college 15 years from now?

(Round to the nearest cent as needed)

Answers

Answer 1
the answer to part a is 72,114 this is because 7.4% of 34,179 is 2529 so 2529 multipled by 15 would give you 37,935 so now you must add 37,935 + 34,179 which would give you 72,114

part b) final balance is 76,115.22 and the compounded intrest is 4,001.22

Related Questions

Whats the anwser? need it asap

Answers

Answer:

B, yes because if you fold it in half then you have symmetry

Step-by-step explanation:

The quality of being made up of exactly similar parts facing each other or around an axis.

What is the slope of the line that passes through the points (12, -13) and (-18, 11)? Round your answer to the nearest tenth.

Answers

The slope of the line is 0.8.

What is slope of the line?

The slope of a line is also called its gradient or rate of change. The slope formula is the vertical change in y divided by the horizontal change in x, sometimes called rise over run. The slope formula uses two points, (x1, y1) and (x2, y2), to calculate the change in y over the change in x.

slope of the line = (y2-y1)/x2-x1

Here, the points are (12,-13) and (-18,11)

x1=12,y1=-13, x2=-18, y2=11

m (slope of line) = 11+13/(-18-12)

=24/-30

=-4/5

=0.8

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meic had m CDs. He gave 3 CDs to a friend. How many CDs does meic have now?

Answers

AS per the concept of algebraic expression, There are m - 3 CDs meic have now.

Algebraic expression:

Algebraic expression refers the idea of expressing numbers using letters or alphabets without specifying their actual values.

Given,

Meic had m CDs. He gave 3 CDs to a friend.

Here we need to find the number of CDs does meic have now.

Here we know that the number of CDs Meic have is M.

Ad he gave 3 of his CDs to his friend.

Which means that 3 number of CDs in the total number is reduced.

So, the total number of CDs is calculated as,

=> number of CDs - 3

Therefore, the number f CDs does Meic had is m - 3.

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how do you find the distance between the point shown?

Answers

We can find the distance between the points shown by adding the distance between each point and the y-axis which is the fourth option.

We are given the points:-

A (-8, -4) and,

B (2, -4)

We have to find the distance between the points AB.

We know that,

Distance between points AB = Distance between A and y -axis + Distance between y -axis and B

Hence, according to the cartesian plane given, we can write,

We can find the distance between the points shown by adding the distance between each point and the y-axis which is the fourth option.

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1. The function h(x) has the shape of a parabola has a focus of (-7,-4) and directrixat y = -1Determine the equation of h(x) in standard form by correctly choosing the symbols andnumbers from the math bank.Help ASAP

Answers

Let P (x, y) be any point on the parabola whose focus is (-7,-4,) and the directrix y+1 = 0.

As we already know that the distance of a point P from focus = distance of a point P from directrix

[tex]\sqrt[=]{(y+1)^2}\text{ =}\sqrt[+]{(x+7)^2+(x+4)^2}[/tex][tex](y+1)^2=(x+7)^2+(x+4)^2[/tex][tex]y^2+1+2y=x^2+7x+49+x^2+16+4x[/tex][tex]y^2+2y=2x^2+11x+64[/tex][tex]y(y+2)=2x^2+11x+64[/tex][tex]y=\frac{2x^2+11x+64}{y+2}[/tex]

Answer quick! Due today!Please help with explanation each graph shown is a translation of the graph of f(x)=x^2 write the function in vertex form

Answers

For a graph with f(x)=x^2, the vertex of the parabola is at the origin.

In the given graph, the parabola is shifted 3 units to the left and 1 unit down.

The general vertex form of a parabola is,

[tex]f(x)=a(x-h)^2+k[/tex]

Here, h is the horizontal shift and k is the vertical shift.

Since the graph is only translated and not shrinked or expanded , a=1.

Since the graph is shifted horizonatlly to the left, h is negative.

So, h=-3.

Since the graph is shifted vertically down, k is negative.

So, k=-1.

So, the equation for the given graph becomes,

[tex]\begin{gathered} f(x)=(x-(-3)^2-1 \\ f(x)=(x+3)^2-1_{} \end{gathered}[/tex]

Therefore, the function in vertex form is,

[tex]f(x)=(x+3)^2-1[/tex]

Draw the figure and its rotation as described. Identify the coordinates of the image. J(−4, 1), K(−2, 1), L(−4,−3) 90° clockwise about vertex L.

Answers

The new coordinates of the image after rotation are L′(−4,1), J′(0,−3), and K′ (0,−5).

Step 1:
The first thing we have to do is to graph the figure. We will color it red. The graph is shown below:

Step 2:

We know that the distance between L and J is 4 units upward. If we rotate it 90° clockwise, the direction will become right. Therefore,

J′ is 4 units to the right of L. We can see that the distance between

J and K is 2 units to the right. If we rotate it 90° clockwise, the direction will become downwards. Therefore, K′ is 2 units down of L′.

Then, connect L and K′  to complete the figure. The new coordinates are L′(−4,1), J′(0,−3), and K′ (0,−5). We will graph it and color it blue.

Hence the answer is the new coordinates of the image after rotation are L′(−4,1), J′(0,−3), and K′ (0,−5).

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Which equation best describes the graph of the line that has 1 slope and passes through point (3,-9)? 3

Answers

[tex]\begin{gathered} \text{ Since the slope is -1/}3\text{, the equation is} \\ y=-\frac{1}{3}x+b \\ \\ \text{now, it passes through (3,-9)} \\ -9=-\frac{1}{3}(3)+b \\ -9=-1+b \\ -9+1=b \\ b=-8 \\ \\ \text{ the equaiton is} \\ y=-\frac{1}{3}x-8 \end{gathered}[/tex]

The robotics team needs new uniforms. The students plan to sell plush toy lions(The school mascot) for 5$ each. The students find three companies on-line that sell stuffed mascots. Company a sell 18 lions for $51.84. company B sells 12 lions for 34.32. company c charges 42.75 for 15 lions. which company has the best buy

Answers

Answer:

Company B would be the best place to get their supply from. First, I multiplied all of the quantities by 5 (33.72*5)(44.48*5)(42.6*5) and got my sums. Then, I subtracted the price to be earned from selling the plush toys by the price of the bundle. Lastly, I compared the amounts earned by using each.

A. $26.28 B. $35.52 C. $32.4

Company B is the best place to buy from.

Problem iD: PRABERUZ On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled 1 in miles, d, to the number of hours flying, t, is t=d. How long will it take the airplane to travel 800 miles? 500 Do not include units (hours) in your answer. copted for free from openupresources.org

Answers

We have a relation between the distance traveled in miles (d) and the number of hours flying (t) that is t=(1/500)*d.

Then, when d=800, we have:

[tex]\begin{gathered} t=\frac{1}{500}\cdot d \\ t=\frac{1}{500}\cdot800=\frac{800}{500}=1.6 \end{gathered}[/tex]

The time is 1.6 hours.

Answer: 1.6

Help asap, The graph compares the total cost of buying movie tickets for members and nonmembers of a movie club

Answers

A negative correlation is the relationship where an increase in one of the variable say x lead to a decrease in the other variable say y

In the question given, the variables are the number of workers in the x- axis and the hours of complete job in the y axis

Therefore option C is the only option where increase in the number of workers led to decrease in the hours of complete job

Hence the correct answer is option C

a. Identify the form the quadratic is written in andstate the feature of the parabola that could befound.i. y = (x + 2)² - 5Answer:ii. y =- x² + 7x-12Answer:y = (x –9)(x +4)Answer:

Answers

i)

The vertex form of a quadratic equation of a parabola opening upwards or downwards is,

[tex]y=a(x-h)^2+k\ldots\ldots(1)[/tex]

Here, (h,k) is the coordinates of the vertex of the parabola. If a is positive, the parabola is facing up and if a is negative, the parabola is facing down.

The given equation of parabola is,

[tex]y=(x+2)^2-5\ldots\ldots(2)[/tex]

So, the given equation is in the vertex form of the quadratic equation.

Comparing equations (1) and (2), we get

a=1, h=-2, k=-5.

Since a is positive, the parabola opens upwards. The coordinates of the vertex of the parabola is (-2,-5).

Solve this equation by factorising:
y² + 3y - 10 = 0

Answers

first of list factors of 10
1 10
2 5

-2 and 5 can add up to get -3
so you would place it into brackets
(y-2)(y+5)=0

now work with each bracket at a time:
y-2=0
y=2

and the next one:
y+5=0
y=-5

and here is what you get
y = -5, 2

Answer:

y = 2

Step-by-step explanation:

Write an equation of a line in a slope intercept form that has a slope of 3/7 and y intercept of -23

Answers

If the slope is 3/7 and the y-intercept is -23, let's replace them in the formula.

y = mx + b

m is the slope and b is the y-intercept.

Then:

[tex]\begin{gathered} y=\frac{3}{7}x+\text{ \lparen}-23) \\ y=\frac{3}{7}x\text{ - }23 \end{gathered}[/tex]

12x(4+16)-78×3 =
O A) 6
O B) 54
O C) 159
OD) 486

Answers

Answer:

The answer for 12x(4+16)-78×3= is 6

The price of a new car is $19995.00. The sales tax rate in Florida is 6.5%. What is the amount of tax on the car?

Answers

Answer:

the amount of tax on the car is $1299

A book was bought for $40 and later sold at profit of 25%. What was the selling price of the book?

Answers

Answer:

The book was 50 dollars

Step-by-step explanation:

0.25% x 40 dollars = $10

10 + 40 (the original amount) = $50

Answer:

$50

Step-by-step explanation:

25% of $40 is $10 dollars. so a book sold with 25% profit is $50

15. A scale model of the Shanghai Tower is 3 inches tall. The actual tower is 2,073 feet tall. What is the scale?
en español porfis​

Answers

The scale is of 8,292 ft. 1 ft in the scale is equal to 8292 ft of the actual.

Given, a scale model of the Shanghai Tower is 3 inches tall.

The actual tower is 2,073 feet tall.

We have to find the scale.

Now, as 1 ft = 12 inch

1 inch = 1/12 ft

3 inches = 3/12 ft

3 inches = 1/4 ft

So, 1/4 ft of scale = 2,073 ft of actual

1 ft of scale = 8,292 ft of actual

So, 1 ft in the scale is equal to 8,292 ft of the actual.

Hence, 1 ft in the scale is equal to 8,292 ft of the actual.

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Justin is taking an anti-flammatory drug and he must receive 6 milligrams for each 17 kg of weight. Justin weighs 244 pounds

Answers

Justin is taking an anti-flammatory drug and he must receive 6 milligrams for each 17 kg of weight.

Justin's weight is 244 pounds i.e., 110.677 Kg.

Theerfore, the amount of anti flammatory drug he needs is

[tex]\frac{6}{17}\times110.677\approx39.063[/tex]

Therefore, Justing needs 39.063 miiligrams of anti flammatory drug.

3. Sharon is using a calculator to find out
how many hours she has spent on a
certain job. She divides, and her display
reads:
4.666666666
Assuming her calculations are correct,
how many hours did she spend on the
job?
A. 4 1/6
B. 4 2/3
C. 4 6/7
D. 46

Answers

Answer:

4 6/7

Step-by-step explanation:

(Not really sure you should go with whatever answer you're sure of)

or 4 1/6

Answer:

B. 4 2/3

it's right, I took this last year.

The exact Value of the sine, cosine, and tangent about of the angle

Answers

[tex]-\frac{11\pi}{12}=\frac{\pi}{4}-\frac{7\pi}{6}[/tex]

Answer:

Below are the exact values of sine, cosine, and tangent of the given angle -11π/12.

[tex]sin(-\frac{11\pi}{12})=\frac{-\sqrt{6}+\sqrt{2}}{4}[/tex][tex]cos(-\frac{11\pi}{12})=\frac{-\sqrt{6}-\sqrt{2}}{4}[/tex][tex]tan(-\frac{11\pi}{12})=\frac{sin(-\frac{11\pi}{12})}{cos(-\frac{11\pi}{12})}=2-\sqrt{3}[/tex]

Explanation:

We can use the following trigonometric identities to solve the exact value of the given angle.

[tex]\begin{gathered} sin(x+y)=sin\text{ }x\text{ }cos\text{ }y+cos\text{ }x\text{ }sin\text{ }y \\ cos(x+y)=cos\text{ }x\text{ }cos\text{ }y-sin\text{ }x\text{ }sin\text{ }y \end{gathered}[/tex]

For sine function, we have:

[tex]\begin{gathered} sin(-\frac{11\pi}{12})=sin(\frac{\pi}{4}-\frac{7\pi}{6}) \\ sin(\frac{\pi}{4}-\frac{7\pi}{6})=sin\text{ }\frac{\pi}{4}cos(-\frac{7\pi}{6})+cos\text{ }\frac{\pi}{4}sin(-\frac{7\pi}{6}) \end{gathered}[/tex]

Simplify.

[tex]\begin{gathered} sin(\frac{\pi}{4}-\frac{7\pi}{6})=\frac{\sqrt{2}}{2}(-\frac{\sqrt{3}}{2})+\frac{\sqrt{2}}{2}(\frac{1}{2}) \\ sin(\frac{\pi}{4}-\frac{7\pi}{6})=\frac{-\sqrt{6}}{4}+\frac{\sqrt{2}}{4} \\ sin(\frac{\pi}{4}-\frac{7\pi}{6})=\frac{-\sqrt{6}+\sqrt{2}}{4} \\ sin(-\frac{11\pi}{12})=\frac{-\sqrt{6}+\sqrt{2}}{4} \end{gathered}[/tex]

For cosine function, we have:

[tex]\begin{gathered} cos(-\frac{11\pi}{12})=cos(\frac{\pi}{4}-\frac{7\pi}{6}) \\ cos(\frac{\pi}{4}-\frac{7\pi}{6})=cos\frac{\pi}{4}cos(-\frac{7\pi}{6})-sin\frac{\pi}{4}sin(-\frac{7\pi}{6}) \end{gathered}[/tex]

Simplify.

[tex]\begin{gathered} cos(\frac{\pi}{4}-\frac{7\pi}{6})=\frac{\sqrt{2}}{2}(-\frac{\sqrt{3}}{2})-(\frac{\sqrt{2}}{2})(\frac{1}{2}) \\ cos(\frac{\pi}{4}-\frac{7\pi}{6})=\frac{-\sqrt{6}}{4}-\frac{\sqrt{2}}{4} \\ cos(\frac{\pi}{4}-\frac{7\pi}{6})=\frac{-\sqrt{6}-\sqrt{2}}{4} \\ cos(-\frac{11\pi}{12})=\frac{-\sqrt{6}-\sqrt{2}}{4} \end{gathered}[/tex]

Lastly, for tangent function, it is the ratio between sine and cosine function.

[tex]tan(-\frac{11\pi}{12})=\frac{sin(-\frac{11\pi}{12})}{cos(-\frac{11\pi}{12})}[/tex]

Applying the division rule, we get the reciprocal of the denominator and multiply it to the numerator. The equation becomes:

[tex]tan(-\frac{11\pi}{12})=sin(-\frac{11\pi}{12})\times\frac{1}{cos(-\frac{11\pi}{12})}[/tex]

Now, let's replace the sine and cosine value that we have calculated above.

[tex]tan(-\frac{11\pi}{12})=\frac{-\sqrt{6}+\sqrt{2}}{4}\times\frac{4}{-\sqrt{6}-\sqrt{2}}[/tex]

Since 4 is a common factor on both numerator and denominator, we can cancel it out. The equation then becomes,

[tex]tan(-\frac{11\pi}{12})=\frac{-\sqrt{6}+\sqrt{2}}{-\sqrt{6}-\sqrt{2}}[/tex]

To further simplify the function, let's remove the radicals in the denominator by rationalization.

[tex]\begin{gathered} tan(-\frac{11\pi}{12})=\frac{-\sqrt{6}+\sqrt{2}}{-\sqrt{6}-\sqrt{2}}\times\frac{-\sqrt{6}+\sqrt{2}}{-\sqrt{6}+\sqrt{2}} \\ tan(-\frac{11\pi}{12})=\frac{6-\sqrt{12}-\sqrt{12}+2}{6-\sqrt{12}+\sqrt{12}-2} \end{gathered}[/tex][tex]\begin{gathered} tan(-\frac{11\pi}{12})=\frac{8-2\sqrt{12}}{4} \\ tan(-\frac{11\pi}{12})=\frac{8-2\sqrt{4\times3}}{4} \\ tan(-\frac{11\pi}{12})=\frac{8-(2\times2\sqrt{3})}{4} \\ tan(-\frac{11\pi}{12})=\frac{8-4\sqrt{3}}{4} \\ Factor\text{ }4\text{ }in\text{ }the\text{ }numerator. \\ tan(-\frac{11\pi}{12})=\frac{4(2-\sqrt{3})}{4} \\ Cancel\text{ }4. \\ tan(-\frac{11\pi}{12})=2-\sqrt{3} \end{gathered}[/tex]

The limousine that you hired costs $400 plus $45 for each hour of service. If your total cost for the limousine is $670, how many hours did you have the vehicle?

Answers

Answer: 6 hours

Step-by-step explanation:

670-400

270

270/45

6 hours

Employee at an antique store are hired at a wedge of $15 per hours, and they got a $9.75 raise each year. naomi make $20.25 per hours working at the store. how long has she worked there

Answers

Number of years she worked at the store is 0.5385 years ( 0.6 years approx. ).

What is rate of change ?

A rate of change is a measurement of the ratio of one quantity to another. Rate of Change: 1608042=802=401; Change in Y = Change in X; Change in Distance; Change in Time. It develops either at a 40 or 401 rpm rate. This shows that an automobile is traveling at a 40 mph speed.

Calculation

Rate of early age of employee = $15 per hour

raise price per year  = $9.75

Naomi wage per hour = $20.25

then gain extra wage = 20.25 - 15

                                    =  $5.25

number of years she worked = 5.25 / 9.75

                                                = 0.5385 years ( 0.6 years approx)

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Use the table to find the product of the two polynomials. Write your answers in descending orde.

Answers

Given:

Given the polynomial

[tex](4x^2-4x)(x^2-4)[/tex]

Required: The product of the polynomials

Explanation:

Fill the table by taking the product of the values written in the left and up of each column.

The product of the polynomials is the sum of each entry in the column. Thus,

[tex](4x^2-4x)(x^2-4)=4x^4-4x^3-16x^2+16x[/tex]

Final Answer:

[tex](4x^2-4x)(x^2-4)=4x^4-4x^3-16x^2+16x[/tex]

Simplify
[tex]( \sqrt{3}) \: ( {}^{5} \sqrt{3} )[/tex]
a :
[tex]3 \frac{1}{10} [/tex]

B:
[tex]3 \frac{3}{5} [/tex]

C:
[tex]3 \frac{9}{10} [/tex]

D:
[tex]3 \frac{7}{10} [/tex]

Answers

3^(1/2) * 3^(5/2)
= 3^(1/2+5/2)
= 3^(6/2)
= 3^(3)
= 27

Let f= {(5,5),(8,-8),(-8,5)}. Find (a) f(5) and (b) f(-8).

Answers

The given function f(x) is

[tex]f(x)=\lbrace(5,5),(8,-8),(-8,5)\rbrace[/tex]

We need to find

a) f(5)

It means finding the value of the y-coordinate in the ordered pair that has x-coordinate = 5

Look at the function

At x = 5, y = 5 (1st orderd pair), then

f(5) = 5

b) f(-8)

It means finding the value of the y-coordinate in the ordered pair that has x-coordinate = -8

Look at the function

At x = -8, y = 5, (last ordered pair), then

f(-8) = 5

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

J
9x-18,
M
B
- Part A What is the value of x? (1 point)
Ox=3
Ox=18
Ox=30
Ox=9
3x
Part B Find JM in the previous item. (1 point)
OJM=3
OJM=9
OJM=54
OJM=63
K

Answers

Answer:

[tex]x=3, JM=9[/tex]

Step-by-step explanation:

The triangles are congruent by SAS. Using CPCTC,

[tex]9x-18=3x \\ \\ -18=-6x \\ \\ x=3 \\ \\ \\ \\ JM=9(3)-18=9[/tex]

how would I graph the line, 3x+4y= -4

Answers

Given the equation:

3x + 4y = -4

Let's graph the line that represents the equation above.

To grah the line, rewrite the equation in slope-intercet form:

y = mx + b

Where m is the slope and b is the y-intercept.

Rerite the equation for y:

3x + 4y = -4

Subtract 3x from both sides:

3x - 3x + 4y = -3x - 4

4y = -3x - 4

Divide all terms by 4:

[tex]\begin{gathered} \frac{4y}{4}=-\frac{3x}{4}-\frac{4}{4} \\ \\ y=-\frac{3}{4}x-1 \end{gathered}[/tex]

The slope of the line is -3/4, while the y-intercept is at (0, -1).

Now, let's graph the line using 3 points.

• When x = -4:

Substitute -4 for x and solve for y

[tex]\begin{gathered} y=-\frac{3}{4}\ast(-4)-1 \\ \\ y=3-1 \\ \\ y=2 \end{gathered}[/tex]

• When x = 0:

Substitute 0 for x and solve for y

[tex]\begin{gathered} y=-\frac{3}{4}\ast(0)-1 \\ \\ y=-1 \end{gathered}[/tex]

• When x = 4:

Substitute 4 for x and solve for y

[tex]\begin{gathered} y=-\frac{3}{4}\ast4-1 \\ \\ y=-3-1 \\ \\ y=-4 \end{gathered}[/tex]

Therefore, we have the following points:

(-4, 2), (0, -1) and (4, -4)

Plot the three points on the graph, then connect all 3 points using a straight edge.

We have the graph attached below:

7) X to the third equals 216

Answers

Explanation

[tex]x^3=216[/tex]

Step 1

we can use the fact that

[tex]\sqrt[m]{a}=a^{\frac{1}{m}}[/tex]

to isolate x, or in other words we can take the cubic root in both sides

so

[tex]undefined[/tex]

x

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