(a).

Principal Income is $.

Rate of interest .

Time period is years.

(i).

Find the compound interest compounded annually.

Compound interest is .

For annually compounded .

Substitute all the above values into .

Compound interest compounded annually : .

(ii).

Find the compound interest compounded quarterly.

For quarterly compounded .

Compound interest compounded quarterly : .

(iii)

Find the compound interest compounded monthly.

For monthly compounded .

Compound interest compounded monthly : .

(iv)

Find the compound interest compounded weekly.

For weekly compounded .

Compound interest compounded weekly : .

(v)

Find the compound interest compounded daily.

For daily compounded .

Compound interest compounded daily : .

(vi).

Find the compound interest compounded hourly.

For hourly compounded .

Compound interest compounded hourly : .

(vii).

Find the compound interest compounded continuously.

Continuously compound interest .

Compound interest ompounded continuously : .

(b). 

Continuously compound interest .

Substitute .

Continuously compound interest

Find compound interest continuously compound for interest.

Substitute in .

.

Find compound interest continuously compound for interest.

Substitute  in .

.

Find compound interest continuously compound for interest.

Substitute  in .

.

Graph :

Graph for the equations and and .

(a).

(i) Compound interest compounded annually : .

(ii) Compound interest compounded quarterly : .

(iii) Compound interest compounded monthly : .

(iv) Compound interest compounded weekly : .

(v) Compound interest compounded daily : .

(vi) Compound interest compounded hourly : .

(vi) Compound interest ompounded continuously : .

(b)

Compound interest continuously compound for interest is .

Compound interest continuously compound for interest is .

Compound interest continuously compound for interest is .

.