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Artist 52 [7]
3 years ago
6

Luis purchases a collectible model car from a dealer. The dealer advises him that the car’s value (The car value is $75 now) wil

l grow by about 9% each year. What is the estimated value of the model car after 10 years?
Mathematics
2 answers:
bearhunter [10]3 years ago
5 0

Answer: $178

Step-by-step explanation:

We know that the exponential growth equation with rate of growth r in time period x is given by :-

f(x)=A(1+r)^x, A is the initial value .

Given: The initial value of car = $75

Rate of growth : 9%=0.09

Now, the function represents the car's value after x years is given by ;-

f(x)=75(1+0.09)^x=75(1.09)^x

Thus, the value of the model car after 10 years is given by :-

f(10)=75(1.09)^{10}=177.552275594\approx178   [To the nearest dollar]

Hence, the estimated value of the model car after 10 years = $178

serious [3.7K]3 years ago
4 0
Judging by the question I generated the equation y=75(1.09^x)
x is the amount of years. 
So the equation you should get for 10 years is y=75(1.09^10)
The answer you get should get is $177.55
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