The balance A (in dollars) in a savings account is given by A = 5000e0.06t

Question

The balance A (in dollars) in a savings account is given by A = 5000e^0.06t,

 where t is measured in years. Find the rate at which the balance is changing when t = 1 year, t = 10 years, and t = 50 years. (Round your answers to two decimal places.)

(a)    t = 1 year

$  per year

(b)    t = 10 years

$  per year

(c)    t = 50 years

$  per year

Answer 1

A' = 0.06t(5000)

Substitute 1, 10, and 50 for t to determine the requested values.