Answer:
He will have $39,750 at the end of five years.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
In this question:
[tex]P = 30000, I = 0.065, t = 5[/tex]
Interest earned:
[tex]E = P*I*t = 30000*0.065*5 = 9750[/tex]
Total amount:
[tex]T = E + P = 9750 + 30000 = 39750[/tex]
He will have $39,750 at the end of five years.