Answer:
(A) 7.5 %
(B) 3.75 %
(C) 2.5%
(D) 0.625 %
Step-by-step explanation:
We have given effective rate of interest r = 7.5%
(a) Annual rate of interest will be equal to 7.5 %
(B) As we know that 1 year = 12 months
And interest is compounded semiannually
1 semiannual = 6 months
So semiannual rate of interest will be equal to
%
(c) 1 quarter = 4 month
So number of period in an year = 3
So rate of interest quarterly
%
(D) Amount when amount is compounded monthly '
So number of period in an year = 12
So rate of interest
%
You must distribute each value like this:

Hope that helps!
Answer:

Step-by-step explanation:
<u>Logarithms</u>
Some properties of logarithms will be useful to solve this problem:
1. 
2. 
3. 
We are given the equation:

Applying the second property:

Substituting:

Applying the first property:

Operating:

Rearranging:

Simplifying:

Dividing by 3:

Applying the third property:

Applying inverse logs:
