Ask question

Ask question

All categories

2 years ago

8

A car loses value each year the value of the car (t) years ‏ can be modeled using the function f(t)=15000(0.85) ^t. If Elizabeth

wants to sell her car in 2 1/3 years what will the cars value be when she sells it?

1 answer:

emmainna [20.7K]2 years ago

6 0

F(t)=15000(0.85) ^t => <span>f(t) = $15000(0.85) ^t

Substitute 2 1/3 for t in this equation. This is equivalent to 7/3.

</span> f(7/3) = $15000(0.85)^(7/3)
= $10266.02 (answer)

You might be interested in

X intercept f(x)=(x+4)^2

natali 33 [55]

Answer:

<h2>-4</h2>

Step-by-step explanation:

Given the function f(x)=(x+4)², <u>the x intercept occurs at f(x) = 0,</u> substituting f(x) = 0 into the given equation to get the value of x we have;

$0 = (x+4)^{2} \\$

Taking the square root of both sides

$\sqrt{(x+4})^{2} = \sqrt{0}\\ x+4 = 0\\$

Subtracting 4 from both sides of the equation

$x+4-4 = 0-4\\x = -4$

Therefore the x intercept of the equation is -4

4 0

2 years ago

The position of an object moving along an x axis is given by x = 3.24 t - 4.20 t2 + 1.07 t3, where x is in meters and t in secon

Pavel [41]

Answer and explanation:

Given : The position of an object moving along an x axis is given by $x=3.24t-4.20t^2+1.07t^3$ where x is in meters and t in seconds.

To find : The position of the object at the following values of t :

a) At t= 1 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(1)=3.24(1)-4.20(1)^2+1.07(1)^3$

$x(1)=3.24-4.20+1.07$

$x(1)=0.11$

b) At t= 2 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(2)=3.24(2)-4.20(2)^2+1.07(2)^3$

$x(2)=6.48-16.8+8.56$

$x(2)=-1.76$

c) At t= 3 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(3)=3.24(3)-4.20(3)^2+1.07(3)^3$

$x(3)=9.72-37.8+28.89$

$x(3)=0.81$

d) At t= 4 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(4)=3.24(4)-4.20(4)^2+1.07(4)^3$

$x(4)=12.96-67.2+68.48$

$x(4)=14.24$

(e) What is the object's displacement between t = 0 and t = 4 s?

At t=0, x(0)=0

At t=4, x(4)=14.24

The displacement is given by,

$\triangle x=x(4)-x(0)$

$\triangle x=14.24-0$

$\triangle x=14.24$

(f) What is its average velocity from t = 2 s to t = 4 s?

At t=2, x(2)=-1.76

At t=4, x(4)=14.24

The average velocity is given by,

$\triangle x=x(4)-x(2)$

$\triangle x=14.24-(-1.76)$

$\triangle x=14.24+1.76$

$\triangle x=16$

4 0

2 years ago

How do you solve what is 2/3 of 3/4?

grin007 [14]

Answer:

0.5

Step-by-step explanation:

4 0

2 years ago

Jacob followed a recipe that requires 2 cups of water for ever 3 cups of flour. If he

Kazeer [188]

Answer:

he used 5 1/3 everything else is to low or high

7 0

2 years ago

Im a little confused on this on can someone help me with this thanks!

Arlecino [84]

This is a bit confusing, double check if you typed everything correctly.

6 0

2 years ago

Read 2 more answers