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stiv31 [10]
3 years ago
12

A new car is purchased for 19000 dollars. The value of the car depreciates at 11.25% per year. What will the value of the car be

, to the nearest cent after 14 years?
Mathematics
2 answers:
bagirrra123 [75]3 years ago
8 0

Answer: 3573.64

Step-by-step explanation:

Exponential Functions:

y = ab^{x}

a=starting value = 19000

r=rate = 11.25%=0.1125

Exponential Decay:

b=1-r=1-0.1125=0.8875

Write Exponential Function:

y=19000(0.8875)^x

Plug in time for x:

y=19000(0.8875)^14

y= 3573.6388855

Evaluate :

y=3573.64

Doss [256]3 years ago
3 0

Answer: 11.25% depriciation means 11.25% amount decrases per year.

i.e for 1year (1-0.1125)19000=0.8875*19000

so for 14 years multiply 0.08875 14 times to 19000.

Your answer will be arrived.

If any doubt comment.

Step-by-step explanation:

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