Question

The number of books in a small library increases according to the function B =5400e^0.02t Where t is measured in years how many books in the library have after nine years
Please explain how you got it also

Answer 1

We have been given that the number of books in a small library increases according to the function $B =5400e^{0.02t}$, where t is measured in years. We are asked to find the number books in the library after nine years.

To find the number books in the library after nine years, we will substitute $t=9$ in our given equation as:

$B =5400e^{0.02(9)}$

$B =5400e^{0.18}$

$B =5400(1.1972173631218102)$

$B =6464.973760857$

Upon rounding to nearest whole number, we will get:

$B\approx 6465$

Therefore, there will be approximately 6465 books in the library after 9 years.