Brittany2896
contestada

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)=_________​

Respuesta :

MrRoyal

Answer

[tex]f(t) = 91000 *1.0376^t[/tex]

Explanation

Given

[tex]a = 91000[/tex] -- initial

[tex]r = 3.76\%[/tex]

Required

The exponential equation

The exponential equation is:

[tex]y =ab^t[/tex]

Where

[tex]b=1 +r[/tex]

We used minus, because the rate increases..

So, we have:

[tex]b=1 +3.76\%[/tex]

[tex]b=1 +0.0376[/tex]

[tex]b=1.0376[/tex]

So:

[tex]y =ab^t[/tex]

[tex]y = 91000 *1.0376^t[/tex]

Hence:

[tex]f(t) = 91000 *1.0376^t[/tex]