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Effectus
1 month ago
10

A new car is purchased for 20300 dollars. The value of the car depreciates at 9.5% per year. What will the value of the car be,

to the nearest cent, after 11 years?
Mathematics
1 answer:
Svet_ta [12.7K]1 month ago
6 0
The initial value stands at 20,300, decreasing annually by 9.5%.

Given that it decreases by 9.5% each year based on the preceding amount, we can apply an exponential decay model.

A 9.5% reduction means multiplying by 91.5% every year.

We express this mathematically. Plugging in 11 years for t yields.

A(t)=23000(0.915)^{t}\\\\A(11)=23000(0.915)^{11}\\\\A(11)=7671.18

$7,671.18
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Answer: Zeno consumed 51 hot dogs.

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Step-by-step explanation:

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The formula for finding the nth term in an arithmetic series is given by

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The formula to calculate the sum of n terms in an arithmetic sequence is

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S26 = 13[2 + 50]

S26 = 13 × 52 = 676 hot dogs

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