The principal amount is  is placed in a bank.

The time period is  years.

Continuous compounding interest, then the principal amount is .

For rate of interest  : .

For rate of interest  : .

For rate of interest  : .

Graph :

Graph the function ,  and .

(a)

Find the pricipal amount after  years at  of rate of interest.

Rate of interest : .

Substitute  and  in .

The balance in the account after  years at  of rate of interest  dollars.

(b)

Find the pricipal amount after  years at  of rate of interest.

Rate of interest : .

Substitute  and  in . 

The ending balance in the account after  years at  of rate of interest  dollars.

(c)

Find the pricipal amount after  years at  of rate of interest.

Rate of interest : .

Substitute  and  in .

.

The ending balance in the account after  years at  of rate of interest  dollars.

Graph of the function ,  and .

(a) The ending balance of the rate of interest  is  dollars.

(b) The ending balance of the rate of interest  is  dollars.

(c) The ending balance of the rate of interest  is  dollars.