Problem

Question 8 of 9, Step 1 of 1
Correct
Incorrect

Juan invested $5200 at 18% to be compounded quarterly. What will be the value of Juan's investment in 2 years? Round your. answer to the nearest cent. Note: Assume 365 days in a year and 30 days in a month.

Answer
Keypad
How to enter your answer (opens in new window)
Keyboard Shortcuts

Answer

Expert–verified
Hide Steps
Answer

So, the final answer is $7394.92.

Steps

Step 1 :Given values are: Principal amount P=$5200, Annual interest rate r=18%=0.18, Number of times interest is compounded per year n=4, Time in years t=2.

Step 2 :Calculate future value using the formula A=P(1+r/n)nt.

Step 3 :Substitute the given values into the formula to get A=5200(1+0.18/4)42.

Step 4 :The value of Juan's investment in 2 years will be $7394.92 after rounding to the nearest cent.

Step 5 :So, the final answer is $7394.92.

link_gpt