Question

The savings in a bank account can be modeled using S = 1250e^0.45t, where t is the number of years the

Answer 1

Using the given exponential function, it is found that it will take 1.5 years for the  amount of savings to double from the initial amount deposited of $1250.

Exponential function:

The exponential function that models the savings in the bank account is given by:

$S(t) = 1250e^{0.45t}$

• In which t is the time in years that the money has been in the account.

The time to double from the initial amount deposited of $1250 is t for which S(t) = 2(1250) = 2500, hence:

$S(t) = 1250e^{0.45t}$

$2500 = 1250e^{0.45t}$

$e^{0.45t} = \frac{2500}{1250}$

$e^{0.45t} = 2$

$\ln{e^{0.45t}} = \ln{2}$

$0.45t = \ln{2}$

$t = \frac{\ln{2}}{0.45}$

$t = 1.5$

It will take 1.5 years for the  amount of savings to double from the initial amount deposited of $1250.

To learn more about exponential functions, you can take a look at brainly.com/question/14855561