Question

Ryan exponential function of the form f(t)= a×b^t to represent the following situation. assume t is in years. an account has an initial investment of $91,000, increasing by 3.76% per year. F(T)=_________​

Answer 1

`f(t) = 91000 *1.0376^t`

Step-by-step explanation

Given

`a = 91000` -- initial

`r = 3.76\%`

Required

The exponential equation

The exponential equation is:

`y =ab^t`

Where

`b=1 +r`

We used minus, because the rate increases..

So, we have:

`b=1 +3.76\%`

`b=1 +0.0376`

`b=1.0376`

So:

`y =ab^t`

`y = 91000 *1.0376^t`

Hence:

`f(t) = 91000 *1.0376^t`