Ask question

Ask question

All categories

1 year ago

8

A new car is purchased for 16500 dollars. The value of the car depreciates at 5.75% per year. What will the value of the car be,

to the nearest cent, after 5 years?

1 answer:

Gnom [1K]1 year ago

7 0

A=16500(1-0.0575)^5
A=16,500×(1−0.0575)^(5)
A=12,271.30

You might be interested in

What are the coordinates of R' for the dilation D(0.5. p)(PQRS)?

RideAnS [48]

Answer:

Step-by-step explanation:

Three step process.

Step 1, convert Q, R, P, and S to coordinates measured from point P rather than from the origin by subtracting P from each point:

Q' = Q-P = (-3-(-3),2-(-3)) = (0,5)

R' = R-P = (1-(-3),2-(-3)) =(4,5)

P' = P-P = (-3-(-3),-3-(-3)) =(0,0)

S' = S-P = (1-(-3),-3-(-3)) = (4,0)

Step 2, Apply the dilation factor (0.5):

Q'' = (0.5)Q' = (0.5*0, 0.5*5) = (0,2.5)

R'' = (0.5)R' = _____

P''= (0.5)P' = _____

S''= (0.5)S' = _____

Step 3, Convert coordinates back to the origin (vice point P) by adding P to each point. These are the dilated points.

Q''' = Q'' + P = (0+(-3),2.5+(-3)) = (-3, -0.5)

R''' = R'' + P = _____

P''' = P'' + P = _____

S''' = S'' + P = _____

6 0

2 years ago

Suppose a snow cone has a paper cone that is 8 centimeters deep and has a diameter of 5 centimeters. The flavored ice comes in a

Neko [114]

check the picture below.

so the cone itself has a height of 8, and a radius of 2.5, and the spherical scoop, ready to melt in it, has a radius of 2.5.

namely, will the volume of the sphere be larger than the cone? in which case the melted ice-cream will overflow.

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=2.5\\ h=8 \end{cases}\implies V=\cfrac{\pi (2.5)^2(8)}{3}\implies \implies \boxed{V=\cfrac{50\pi }{3}} \\\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad r=2.5\implies V=\cfrac{4(\pi )(2.5)^3}{3}\implies \boxed{V=\cfrac{125\pi }{6}} \\\\\\ \textit{the sphere's volume is larger, so yes, it will overflow}$

8 0

1 year ago

Read 2 more answers

Adam is building a rectangular swimming pool. The perimeter of the pool must be no more than 120 feet. If the length of the pool

Orlov [11]

2(22 + w) $\leq$ 120

22 + w $\leq$ 60

w $\leq$ 38

5 0

2 years ago

- If 2x2 + 8y = 121.5 and x2 - 8y = 121.5, then x =<br> 9<br> 6.36<br> 16<br> 7

Natalija [7]

Step-by-step explanation:

2x² + 8y = 121.5

x² - 8y = 121.5

Add the equations together to eliminate the y terms.

3x² = 243

x² = 81

x = 9

4 0

2 years ago

The equation 9t = 27.99 models a constant rate situation. Drag and drop the value of 5t in the box. 5t = 3.11 15.55 18.99 36.99

JulsSmile [24]

5t = 15.55. Here's why:

Since in the equation 9t = 27.99 is basically multiply two numbers to get a product, divide 27.99 by 9:

27.99/9 = 3.11

3.11 is the value of t. So now that we've found the value of t, plug it into the equation 5t like so:

5*3.11 = 15.55

I hope this helped you out! :)

7 0

2 years ago

Read 2 more answers