## virtus 3 years ago ray deposits \$50 into a superannuation fund at the start of each month. The fund pays 15% interest which is compounded at the end of each month i- find the value of the fund at the end of 10 years ii- how many months will Ray have to contribute to the fund if he wishes the fund to be worth \$25 000

1. hba

2. virtus

LOL i don't know how to do it

3. hba

that means u didnt give it a try

4. hba

@mathslover plz help

5. mathslover

I will surely give it a try soon : remember : |dw:1341657452319:dw|P = principal amount (the initial amount you borrow or deposit) r = annual rate of interest (as a decimal) t = number of years the amount is deposited or borrowed for. A = amount of money accumulated after n years, including interest. n = number of times the interest is compounded per year

6. drishya5

|dw:1342093514034:dw| There is a formula to calculate the monthly investment and return at a future period with Interest Monthly Amount A= \$50 Years n = 10 * (12 months) = 120 Rate yearly= 15% --- Monthly rate (r ) = 15/12= 1.25% = 1.25/100= 0.0125 Formula = A*(1+r) * (1+r)n -1 r Substituting it: = 50*(1+0.0125) * (1+0.0125)120 -1 0.0125 = \$ 13,932.86 For getting \$25000, in the same formula ‘’n’’ would be not there .. so it would get complicated. You might need Log or trial n error method to solve. I simply use EXCEL sheet n try replacing the N and the answer I found is 159 months approx. i.e. 13.25 years approximately Hope I helped and you understood. 

7. virtus

THANK YOU SO SO MUCH!

8. drishya5

welcome :)