Neeed !
kelly bought a new car for $20,000. the car depreciates at a rate of 10% per year.
what is the decay factor for the value of the car?
write an equation to model the car’s value.
use your equation to determine the value of the car six years after kelly purchased it.

a) decay factor is b = 0.9

b) y = 20,000(0.9)^x

c) y = $10,629

Step-by-step explanation:

a) What is the decay factor for the value of the car?

The formula used to find the decay factor is

y = a(b)^x

where y = future value

a = current value

b = decay factor

x = time

The decay factor is: b = 1-r

We are given rate r = 10% or 0.1

b = 1 - 0.1

b = 0.9

So, decay factor is b = 0.9

b) Write an equation to model the car’s value.

Using the formula:

y = a(1-r)^x

y = 20,000(1-0.1)^x

y = 20,000(0.9)^x

c) Use your equation to determine the value of the car six years after Kelly purchased it.

y = 20,000(0.9)^x

We need to find value after 6 years, so x=6

y = 20,000(0.9)^6

y = 10,628.82

y = $10,629

11 feet 6 inches and 8 feet 6 inches

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)