The function f(x) = 15(1.07)^x models the cost of tuition, in thousands of dollars, at a local college x years since 2017.


assume that before 2017 the tuition had also been growing at the same rate as after 2017. what was the tuition in 2000?


what was the tuition in 2010?

Answers

Answer 1

The tuition at the local college in 2000, assuming it followed the same growth rate as after 2017, can be estimated to be approximately $4,018. The tuition in 2010, using the same growth rate, would be around $9,049.

To find the tuition in 2000, we need to calculate the value of f(x) when x represents the number of years since 2000. Since the given function models the cost of tuition x years since 2017, we need to determine how many years have passed between 2000 and 2017, which is 17 years. Plugging this value into the function, we get:

f(17) = 15(1.07)^17 ≈ $4,018

Therefore, the estimated tuition in 2000, assuming it followed the same growth rate as after 2017, would be approximately $4,018.

To determine the tuition in 2010, we need to calculate the value of f(x) when x represents the number of years since 2010. Since 2010 is 7 years before 2017, we have:

f(7) = 15(1.07)^7 ≈ $9,049

Hence, the estimated tuition in 2010, using the same growth rate, would be around $9,049. It is important to note that these calculations are based on the assumption that the tuition growth rate before 2017 was consistent with the growth rate after 2017 as provided by the function f(x).

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Related Questions

ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART I ONLY NEED A FEW SENTENCES!
Please answer the following essay question:
An isosceles triangle has two congruent angles. Write an expression to represent the measure of the third angle of the triangle. Explain.

Answers

Step-by-step explanation:

Let x be the size of 1 of the 2 congruent angles.

The size of the other congruent angle is also x.

Since sum of angles in a triangle = 180°,

Measure of 3rd angle in the triangle

= 180° - 1st angle - 2nd angle

= (180 - 2x)°.

Answer:

The Isosceles Triangle Theorem, All interior angles of a triangle add up to 180 degrees. Basically the equation would be (angle 1) + (angle 2) + (angle 3) = 180. whichever angle you dont have you replace with x and solve for it. For example if you had a triangle with two congruent angles of 36 then it would be 36+36+x=180 and you would solve it like any other equation eventually showing you that x = 108. it also works backwards if you are trying to solve for the 2 missing congruent angles.

Step-by-step explanation:

y=3x+−7

Find the slope.


A. 7




B. -7


C. 3x


D. 3

Answers

Answer:

D.3

Step-by-step explanation:

In the equation for a line in the form y=mx+c, m represents the slope.

Therefore the slope is 3.

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + - 7 ← is in slope- intercept form

with slope m = 3

Find the missing angle measurement in the triangle.

Answers

Answer:

the answer is C

Step-by-step explanation:

the right angle is = 90

the other angle= 55

so you add them together which makes 145

so subtract 180 which is = to a triangle subtract 180-145=35

Answer: C.)

Step-by-step explanation:

Triangle angles add up to 180 degrees.

The box is a right angle which equals 90 degrees.

55 degrees + 90 degrees = 145 degrees, but we need the sum to be 180, so we subtract 145 from 180 and you should get the answer of "35".

Do the following lengths form a right triangle?

Answers

Answer:

2 3 4 do, 1 does not

Step-by-step explanation:

Using the Pythagorean Theorem, we can see that the square of the 2 smaller sides, when added together, is equal to the square of the longer side of each of the example triangles.

2 3 4 are the answers to this I’m sure

find the value of 3 under root 54/250​

Answers

Answer:

Evaluate cube root of 250- cube root of 54

3√250−3√54

Simplify each term.

53√2−33√2

Subtract 33√2 from 53√2-

2^3√2

The result can be shown in multiple forms.

Exact Form:

23√2

Decimal Form:

2.51984209....

Step-by-step explanation:

Hope it is helpful.....

The value of 3 under root 54/250​ is 3 / 5.

What is a fraction?

A fraction is a numeral that represents a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

The given fraction is,

54 / 250.

To find the value of 3 under root 54 /250,

Find cube root of 54 /250.

∛(54 / 250)

= ∛(27 / 125)

= ∛27 / ∛125

= 3 / 5

The value of cube root of 54 /250 is 3/5.

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Help me PLEASE! I will give Brainliest to the first correct answer.

Jada’s dog was 5 and 1/2 inches tall when it was a puppy. Now her dog is 14 and 1/2 inches taller than that. How tall is Jada’s dog now?

Answers

Answer:

20 inches tall

Step-by-step explanation:

First, I did 1/2+1/2=1. Then, I did 5+14=19. So, 19+1=20.

When someone throws a ball, the action force is the person pushing on the ball. What is the reaction force?
Give a real answer and explain.

Answers

Answer:

Should be : The Ball Pushing On The Person

Step-by-step explanation:

while the Air resistance answers have a point this question is asking about the reaction and the only reaction answer is the ball pushing on the person. every action has a reaction,

The ball wants to stay still so it pushes back on the person with all it's force, but the person pushes the ball with more force then the ball has so the ball rolls.

(may have explained it to much or weirdly sorry)

PLZ help me i need the answer asap 7th grade math

Answers

Answer:

43.98

Step-by-step explanation:

2(pi)(7)=43.98

2(pi)(r)

Yeah right absolutely nice

A square cake sits on a circular cake stand. The circular cake stand has a diameter of 24 inches. The cake measures 16 inches on each side. How many square inches of the cake stand are visible?

Answers

Answer:

196.12 in^2

Step-by-step explanation:

circular cake stand area=(24/2)^2(3.14)=452.12 in^2

square cake=16x16=256 in^2

452.12-256=196.12 in^2

The question is in the picture

Answers

Answer:

(8, - 7)

Step-by-step explanation:

Since, (8, 7) is reflecting over x-axis, so after reflection, x- coordinate will remain same and y-coordinate changes from 7 to -7.

Therefore,

[tex] J(8,\: 7) \rightarrow J'(8,\: - 7)[/tex]

Answer:

-8,7 is the ans of the question


There are (2^6)^3• 2^0bacteria in a sample. What is the total number of bacteria in the sample?

Answers

Answer:

262,144

Step-by-step explanation:

2^0 = 1

(2^6)^3 = 2^18 = 262,144

Answer: 262,144.

Step-by-step explanation: (26)3(20)

=(643)(20)

=262144(20)

=(262144)(1)

=262144

Can someone solve this for me?
2x + 7y = 4

( u have to put it in y = mx + b)
* but when i divide i get y = -2/7x + 4/7
is the 4/7 correct?
like r u allowed to have two fractions?

Answers

Answer:

I think that is correct because I got the same answer

The six sided of number cube are labeled 1,2,3,4,5 and 6. You flip a coin and roll the number cube. What is the theoretical probability that the coin lands on heads and roll a number greater than 2?​

Answers

heads = 1/2

>2 = 2/3

2/3 x 1/2 = 1/3

Answer:

1 / 3

Help If the side lengths of a cube are 16 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?

16 ⋅ 3
16 ⋅ 16 ⋅ 16
163
316

Answers

16 • 16 • 16! :)) hope this helped

Answer: I believe the answer is 6.3 I will research more and get a definite answer just dam me for the answer!

Step-by-step explanation:

:)

A rectangular playground is 65m long and 30 m wide. A pathway of 1.5 m width goes all around, outside it. Find the area of the pathway

Answers

Answer:

97.5 m^2

Step-by-step explanation:

Given data

Length = 65m

Width= 30m

We are told that the width of the path= 1.5m

Hence the area of the path is

=65*1.5

=97.5 m^2

Find the value of x in the following figure.

Answers

Answer:

x = 8

Step-by-step explanation:

180-(89+57)= 180-146 = 34

(5x -6) = 34

5x = 34 + 6

5x = 40

x = 40 ÷ 5

x = 8

Is 299 in the sequence of 2 5 8 11 14 with 3n-1 as the term

Answers

Answer:

yes

Step-by-step explanation:

Equate

3n - 1 = 299 ( add 1 to both sides )

3n = 300 ( divide both sides by 3 )

n = 100

Then 299 is the 100 th term of the sequence

PROBLEM SOLVING A math club is having a bake sale. Find the area of the bake sale sign
TT IS
SWEET!
412ft
Math Club Baka Ina this Saturday
729 ft
The area of the sign is square feet.

Answers

The area of the bake sale sign is 6 ft²

Area

Area is the amount of space occupied by a two dimensional object.

Rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel.

The area of a rectangle = length * breadth

The area of the bake sale sign = length * breadth = [tex]\sqrt{4} *\sqrt[6]{729} = 6\ ft^2[/tex]

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what is 64 ÷8 x 1/2 Please and Thank you

Answers

Answer:

4

Step-by-step explanation:

64/8 x 0.5 = 8 x 0.5 = 4

What is a equivalent expression to this expression?c(4a+b)

Answers

Answer: I think the answer is 4ca + cb

Answer:

The answer is 4ac+bc u have to multiply

What is the value of x2 + 3.4y when x = 4 and y = 2?

Answers

Answer:

14.8

Step-by-step explanation:

4(2)+3.4(2)

8+6.8

14.8

What is the slope of the line that passes through these two points (15,20) and (20,25)

Answers

Answer:

The slope Is 1.

Step-by-step explanation:

If you graph the two points it shows that the graph is done.

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (15, 20) and (x₂, y₂ ) = (20, 25)

m = [tex]\frac{25-20}{20-15}[/tex] = [tex]\frac{5}{5}[/tex] = 1

Coty painted a right triangle on paper. The hypotenuse of his triangle is 18 inches and one of the legs is 7 inches. What is the length of third side?

Answers

Answer:

G) 16.6

Step-by-step explanation:

We can use the pythagoriam theroem to solve the problem

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]a^{2} + 7^{2} = 18^{2}[/tex]

[tex]a^{2}[/tex] + 49 = 324

[tex]a^{2}[/tex] = 275

a = 16.6

Solve the inequality.

Answers

Step-by-step explanation:

subtract the value by placing it in the right side and multiply with 4.

x ≤ 63.2

Interval notation:
(−∞ , 63.2]

Plzzzzz help!
What is the perimeter of the composite figure?

Answers

Answer:

107.5 cm

Step-by-step explanation:

find the length of the missing side of triangle which is 22.5 rounded then add all the sides together

what is 40% of 10? PLZ HELP ASAP

Answers

Answer:

4

Step-by-step explanation:

10 * 40%

10 * 0.4 = 4

Answer:

Hi! 40% of 10=4

Step-by-step explanation:

Hope this helps! :)

Have a nice day! ♥

there is a line whose y-intercept is 10 and whose slope is -1/2. what is its equation in slope-intercept form? y= x +

Answers

y=-1/2x + 10

This is simple

Which properties justify the steps taken to solve the system? {2a+7b=03a−5b=31 10a+35b=0; 21a−35b=217 ​31a = 217 a = 7 2(7)+7b=0 14 + 7b = 0 7b=−14 b=−2 what are each of the steps taken?

Answers

9514 1404 393

Explanation:

2a+7b=0 . . . . . . . . given [eq1]

3a−5b=31 . . . . . . . .given [eq2]

10a+35b=0 . . . . . . multiplication property of equality 5×[eq1] = [eq3]

21a−35b=217 ​. . . . .multiplication property of equality 7×[eq2] = [eq4]

31a = 217 . . . . . . . . addition/substitution properties of equality [eq3]+[eq4]

a = 7 . . . . . . . . . . . . division property of equality (÷31)

2(7)+7b=0 . . . . . . . .substitution property of equality; a=7 in [eq1]

14 + 7b = 0 . . . . . . . properties of real numbers

7b=−14 . . . . . . . . . . addition property of equality; add -14

b=−2 . . . . . . . . . . . . division property of equality (÷7)

Whos HAPPYYYYY today

Answers

Answer:

meeeeeeeeeeee super happy

Can someone help me on this is for today pls!!!

Answers

Answer:

C

Step-by-step explanation:

The answer must be in square inches, not inches, so a and b are automatically wrong.

Couple of ways of doing it - the large triangles are congruent, so the area of each is the same. Since the area of a triangle is 1/2 base times height, the area of the 2 large triangles is just base times height, which is 18 * 11 or 198

Same principle for the smaller triangles at the top, area is 8 times 11, or 88. Add them up, you get 286 sq inches.

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