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.