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3 years ago

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Suppose that $17,183 is invested at an interest rate of 5.4% per year, compounded continuously. a) Find the exponential func

tion that describes the amount in the account after time t, in years. b) What is the balance after 1 year? 2 years? 5 years? 10 years? c) What is the doubling time?

1 answer:

Pavlova-9 [17]3 years ago

8 0

Answer:

Total = Principal * e ^ (rate * years)

Total = 17,183 * 2.718281828459 ^ (.054 * years)

After 1 year = 18,136.39

After 2 years = 19,142.68

After 5 years = 22,509.12

After 10 years = 29,486.15

We'll use this formula to find the doubling time:

Years = ln (total / principal) / rate

we'll use 200 for total and 100 for principal

Years = ln (200 / 100) / rate

Years = ln (2) / .054

Years = 0.69314718056 / .054

Years = 12.8360588993 Years Doubling Time

Step-by-step explanation:

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