6% compounded interest quarterly for 5 years

what is 100(1+.06/4)^20 ?That is 6 percent6 paid, and compounded quarterley for 20 quarters.

134.69

20 quarter years in five years and 6%/4 = 1.5% per quarter

so
1.015^20 = 1.35
or 35 % gain

To calculate the compound interest for an investment with a 6% interest rate compounded quarterly for 5 years, you can use the formula:

A = P(1 + r/n)^(nt)

Where:
A represents the final amount including interest.
P represents the principal amount (initial investment).
r represents the annual interest rate (6% in this case).
n represents the number of compounding periods per year (4 for quarterly).
t represents the number of years for the investment (5 years in this case).

Now let's plug in the values into the formula:

A = P(1 + r/n)^(nt)
A = P(1 + 0.06/4)^(4*5)

Simplifying:

A = P(1 + 0.015)^20
A = P(1.015)^20

Assuming the initial investment (principal) is $1, you can calculate the final amount using the formula:

A = 1 * (1.015)^20

Calculating:

A = 1 * (1.34985880758)

The final amount after 5 years would be approximately $1.35.