The dollar value of a car is a function, f, of the number of years, t, since the car was purchased. The function is defined by the equation f(t)=12,000(3/4)^t.
A. How much was the car worth when it was purchased? Explain how you know.
B. What is f(2)? What does this tell you about the car?
C. About when was the car worth $6,000? Explain how you know.

Answers

Answer 1

Answer:

1.) 12000

2.) 6750

3.) 2.41

Step-by-step explanation:

Given the Equation :

f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t

When, car was purchased, t = 0

t = 0

f(0) = 12000(3/4)^0

= 12000 * 1

= 12000

2.)

f(2) ; this mean the worth of the car after 2 years :

f(2)=12,000(3/4)^t.

12000(3/4)^2

12000 * 0.5625

= 6750

When car will be worth 6000

f(t) = 6000

f(t)=12,000(3/4)^t.

6000 = 12,000(3/4)^t

6000 / 12000 = (3/4)^t

1/2 = (3/4)^t

Take the log of both sides :

Log(0.5) = log(0.75)^t

log(0.5) = tlog(0.75)

- 0.301029 = - 0.124938t

t = - 0.301029 / - 0.124938

t = 2.4094

t = 2.41 years


Related Questions

Someone help me ASAP please and thank you

Answers

A.

Step-by-step explanation:

It's exactly what's asked for.

1. 10x +14 y+8 37 27 +3 4y-19 X+77.​

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Answer:

Step-by-step explanation:

Simplify: 8 + 14 – 5 - 7 + 3 - 7 - 4

Answers

Answer:

2

Step-by-step explanation:

Answer:

[tex]2[/tex]

Step-by-step explanation:

[tex]8+14-5-7+3-7-4[/tex]

We'll Follow the PEMDAS order of operations:-

Add and subtract:-

8+14=22

[tex]22-5-7+3-7-4[/tex]

22-5=17

[tex]17-7+3-7-4[/tex]

17-7=10

[tex]10+3-7-4[/tex]

10+3=13

[tex]13-7-4[/tex]

13-7=6

[tex]6-4[/tex]

[tex]2[/tex]

OAmalOHopeO

Find the area of the complex figure below.
A. 84 in^2
B. 90 in^2
C. 96 in^2
D. 102 in^2

Answers

Ok so you have to do the area of three different shapes then add them together so to find the area for the square and rectangle you need to find the sides to be equal so the square is already set you would do 6 times 5 and get 30 so how to do the rectangle is add 7 and 5 and get 12 so you would do 10 - 6 and get 4 and then do 12 times 4 which is 48 so, so far you have 78 for an area but you a triangle so you have a base of 3 because we found that the rectangle is 12 so 15-12 is 3 then we did the side for the rectangle which was 10-6 is 4 so for the triangle you would do 1/2 times 3 times 4 which would be 6 so 78 plus 6 and you would get 84 so A is your answer

Help ASAP, mathematics trig

Answers

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{7}{4}[/tex] , then

θ = [tex]tan^{-1}[/tex] ([tex]\frac{7}{4}[/tex] ) ≈ 60° ( to the nearest degree )

Select the letter of the correct answer. A museum in South Africa uses paintings of right-angled triangles to teach children about the Pythagorean Theorem: A squared + B squared = C squared Let's say that A = 4 and B = 3. Based on the theorem, what is the value of C squared? Choose the correct expression. A 42+
32 B (4 x 3)2 C (4 + 3)2 D 4 + 3 ​

Answers

The answer is C I think

Please answer this math question for me

Answers

Answer:

Hello! answer: e = 103 f = 77

and I don't really know what d is sorry! but If I had to guess id say 90

Someone help me with this pls

Answers

Answer:

5-² is your correct answer

Answer:

=5^10/5^12

= 5^10-12

=5^-2

Sabrina babysits for young kids in her neighborhood. Last Friday night, she babysat one child for 2 hours and made $16. Tonight, she babysat one child for 6.5 hours and made $34. Determine and interpret the rate of change and initial value.

Answers

It increased by 95%?

Multiple Select: Multiply and match each of the following
expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
A.isz? - 2px – pº A.isx? – p2 B.isz? + 2x – 35
B.isx? - 20 – 35 Cisx2 + 2px +p?

Answers

Answer:

A. (x − p) (x + p) = x² - p²

B. (x – 5) (x + 7) = x² + 2x - 35

C. (x + p) (x + p) = x² + 2px + p²

Step-by-step explanation:

To find - Multiply and match each of the following  expressions.

A. (x − p) (x + p)

B. (x – 5) (x + 7)

C.(x + p) (x + p)

Proof -

A.)

The expression is - (x − p) (x + p)

Now,

(x − p) (x + p) = x(x + p) - p(x + p)

                     = x(x) + x(p) - p(x) - p(p)

                     = x² + xp - px - p²

                     = x² - p²

(x − p) (x + p) = x² - p²

B.)

The expression is - (x – 5) (x + 7)

Now,

(x − 5) (x + 7) = x(x + 7) - 5(x + 7)

                     = x(x) + x(7) - 5(x) - 5(7)

                     = x² + 7x - 5x - 35

                     = x² + 2x - 35

(x − 5) (x + 7) = x² + 2x - 35

C.)

The expression is - (x + p) (x + p)

Now,

(x + p) (x + p) = x(x + p) + p(x + p)

                     = x(x) + x(p) + p(x) + p(p)

                     = x² + xp + px + p²

                     = x² + 2px + p²

(x + p) (x + p) = x² + 2px + p²


Can someone help on this?

Answers

It is d hope that helps!

Answer:

D

Step-by-step explanation:

p(x, y) reflection on y axis = p'(-x, y)

Solve plz
500 - 2.23

Answers

Answer:

497.8

Step-by-step explanation:

500-2.23=497.77=497.8

Answer:

500-2.23500-2.23497.77

hope it helps

stay safe healthy and happy.

Find the volume of this right rectangular
prism.
3 in
9 in
. 3 in
[ ? ]in3

Answers

Answer 8.1

Step-by-step explanation:

3 x 9 x 0.3 = 8.1

Margaret is going on vacation to Alaska. She has 13 sweaters and needs to choose 6 to take with her on vacation. How many ways can she choose the 6 sweaters to take? Question 7 options: 1,716 1,235,520 78 575

Answers

Answer:

1,716

Step-by-step explanation:

I just took the quiz.

What are the values of c and d in the matrix subtraction below? [ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17] C=-14 d= -6 c=-18 d= -6 c=-14 d=2 c=-18 d=2

Answers

Answer:

c=-18 d=2

Step-by-step explanation:

[ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17]

The equation tells that when the two matrices are subtracted we get the resultant matrix.

Each element of the first matrix corresponds to each element of the second matrix

From above

6- (c+2)= 22

6- c-2= 22

4-c= 22

-c= 22-4

-c= 18

c= -18

And

15-( d-4)= 17

15- d+4= 17

19-d= 17

-d= 17-19

-d= -2

d= 2

Answer:

D

Step-by-step explanation:

c= -18

d= 2

there are 10 children in line. four are girls the rest are boys. which number sentence can be used to find the number of boys in line?

Answers

Answer:

Im sorry i dont understand what you mean by sentence but there are 6 boys

Step-by-step explanation:

Easy math please help!!

James is making orange juice from concentrated frozen orange juice that he must mix with water. The concentrated juice is in 12 fluid ounce cartons. The ratio of orange juice concentrate to water is 12 fluid ounces to 36 fluid ounces. If James needs 4.5 gallons of orange juice, which is 576 fluid ounces, how many cartons of concentrated orange juice does he need? (Your answer should just be a number.)

Answers

Answer:

48

Step-by-step explanation:

Please help I’m strugglinggg Oml and this is due right now

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Answer:

i dont understand thisssssssss im sorrrryy what is c(5)?????? huhhhhhhhhh

Step-by-step explanation:

If the perimeter of the polygon is 42, AB = ______?

Answers

Answer:

AB = 7

Step-by-step explanation:

The polygon pictured is a hexagon, which means that it has 6 equal side lengths. The perimeter is 42. AB is the length of one side.

Perimeter = 6 x length of one side

If you plug everything you know in the equation, you would get...

42 = 6 x length of one side

42 ÷ 6 = 7

So, 7 is the length of AB, since in a hexagon, all sides are the same length.

The length of side AB  is 7.

What are regular polygons?

A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.

This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).

We have,

The given polygon is a hexagon since it has 6 faces.

Now,

The six faces are equal in length.

So,

6 faces length = 42

Now,

Each face = x

And,

6x = 42

x = 42/6

x = 7

Thus,

The length of AB  is 7.

Learn more about regular polygons here:

https://brainly.com/question/24328525

#SPJ

7=x + 2x - 5 - 58
Show work please

Answers

Answer:

x= 23.33

Step-by-step explanation:

7=x+2x-5-58

combine like terms

7=3x-63

add 63 to both sides

70=3x

divide by 3

x=23.33

20 points! pls helppppp it's almost recognition day for me!!

I'm sorry but i'm bad at math ;-;

using the given figures, find the values of the unknown variables

(PROVING ISOSCELES TRAPEZOID)​

Answers

1. x = 21, y = 103
2. x = 32, y = 52
3. x = 4, y = 5
assuming that all the shapes are regular

The box plot below represents some data set. What percentage of the data values are between 20 and 55?​

Answers

Step-by-step explanation:

the solution is self explanatory


Help correct get brainly lol

Answers

Answer:

there are seven variable terms

Step-by-step explanation:

variables are letters (a, b, c, etc.)

i hope this helps :)

Answer:

The answer is 4 because are all separate variables (also  combines into one variable)

Step-by-step explanation:

Is this a polygon or trapezoid?

Answers

Answer:

No

Step-by-step explanation:

this is my opinion so No

No a trapezoid has 2 parallel lines

???????????????….?????…..?????????

Answers

Answer:

C

Step-by-step explanation:

Sine equals opposite over hypotenuse, which would be y/19. To find y multiply by 19 to get y=19sin33°

Correct answer: 19cos33°

The values given are 19 (hypotenuse), y (adjacent side), and the angle (33°)

The formula for cosine is adjacent side divided by the hypotenuse

After plugging in the values given into the formula cosx=ad/h, we have:

Cos33°=y/19 Here, we need to isolate the Y

And, the final result is
19Cos33°= Y

So, the correct answer is the letter D

What is the area of a circle with a diameter of 5.4

P.S Show work

Answers

If you use 3.14 in terms of pi, it's 22.8906. If you use the pi symbol, it is 7.29π.

Explanation: You divide 5.4 by 2 to get the radius. The radius is 2.7 The formula for area of a circle is πr^2. You square 2.7 and get 7.29π and then multiply by 3.14 or leave it as 7.29π

I WILL GIVE BRAINLIEST!!!!!!! A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes). 1.235 952 457 1,486 1,486 | 1,759 1,148 548 1,0371,864 | 1,245 866 1,431 a. Estimate the median time it will take all players to finish this game. minutes b. Find the interquartile range for this sample minutes​

Answers

Answer:

a)  median = 1,148 minutes

b)  IQR = 549.5

Step-by-step explanation:

Q1 = (952 + 866) / 2 = 909

Q3 = (1431 + 1486) / 2 = 1458.5

IQR = 1458.5 - 909.0 = 549.5

ASAP!! ILL GIVE BRAINLEST

In any given pair of similar three dimensional figures, if the ratio of the sides is a:b, then the ratio of
the surface areas is...

A:B
A^3:B^
A^-1:B^-1
A^2:B^2

Answers

I think A^3:B^

Explanation:

It is 3 dimensional, so the surface area would be 3x bigger, so A^3:B^

rewrite each expression as single exponent. Answer all of them Please!

1} 11 to the second power times 11 to the tenth power

2} 13 to the 6 power times 13 to the forth power

3} 14 to the power 9 times 14 to the tenth power

4} 2 to the power 4 times 2 to the forth power

5} 7 to the 8 power times 7 to the 6 power

6} 3 to the power 3 times 3 to the 9 power

Answers

Answer:

[tex]11^2 *11^10 \\13^6 *13^4\\14^9 * 14^10\\2^4*2^4\\7^8*7^6\\3^3*3^9[/tex]

Step-by-step explanation:

Please Mark Brainliest for helping

The planet venus is on average 2.5x10^7 kilometers from earth. The planet mars is on average 2.25x10^8 kilometers from earth. What is the average distance from venus to mars?

Answers

Answer:

The average distance from venus to mars is 2.5x10⁸ kilometers.

Step-by-step explanation:

We know:

d₁: average distance between venus and earth = 2.5x10⁷ km

d₂: average distance between mars and earth = 2.25x10⁸ km

We can find the average distance from venus to mars as follows:

[tex] d_{t} = d_{1} + d_{2} [/tex]

First, we need to equal the base power 10 so we can sum both distances:

[tex]2.25 \cdot 10^{8} = 2.25 \cdot 10^{7} \times 10 = 22.5 \cdot 10^{7} km[/tex]      

Now, average distance:

[tex]d_{t} = 2.5 \cdot 10^{7} + 22.5 \cdot 10^{7} = (2.5 + 22.5) \cdot 10^{7} = 25 \cdot 10^{7} km = 2.5 \cdot 10^{8} km[/tex]

Therefore, the average distance from venus to mars is 2.5x10⁸ kilometers.

I hope it helps you!              

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