John invested $2000 that earn interest at 4% per annum compounded monthly. two year later the interest rate is 4.50% compounded quaterly. determine the accumulated value of investment two year after the change

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

Part 1)

substitute in the formula above

Part 2)

substitute in the formula above

both equations and proportions are better.