Question

The number of books in a small library increases according to the function B = 3700e0.05t, where t is measured in years. How many books will the library have after 7 year(s)?

Answer 1

The library will have approximately 5247 books after 7 years.

Step-by-step explanation:

To find the number of books the library will have after 7 years, we can plug in the value of t into the function B = 3700e0.05t.

Let's do the calculation:

Substitute t = 7 into the function: B = 3700e0.05(7).

Calculate the exponent: 0.05(7) = 0.35.

Use the exponential function: e^(0.35) ≈ 1.42002.

Multiply the result by 3700: 1.42002 * 3700 ≈ 5247.74.

Therefore, the library will have approximately 5247 books after 7 years.