The expression 1000 (1.1) ^t represents the value of a $1000 investment that earns 10% interest per year compounded annually for t years. find the value of a $1000 investment at the end of each period.

Given that an investment has been modeled by the function:

f (t) = 1000 (1.1) ^t

the value of investment after each period will be as follows;

at the end of period 1, t=1. The value will be:

f (t) = 1000 (1.1) ^1

=$1,100

the value of the investment after the 2nd period, t=2 will be:

f (2) = 1000 (1.1) ^2

f (2) = $1,210

This can be used to find out the value of the investment when t=0,1,2 ...