Effective rate find the effective rate of interest corresponding to a nominal rate of 8.25% par year compounded (a) annually, (b) semiannually, (c) quarterly, and (d) monthly.

(a) 8.25%

(b) 4.125%

(c) 2.75%

(d) 0.6875%

Step-by-step explanation:

We have given annual rate of interest r = 8.25 %

(A) Annual rate of interest will be 8.25 %

(B) Semiannual rate of interest

For semiannual number of period

So rate of interest semiannual will be %

(c) Quarterly so number of period  

So rate of interest semiannual will be %

(d) For monthly number of period

So rate of interest semiannual will be %

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.