Question 1156417: You deposit $100 each month into an account earning 4.9% interest.
Round all answers to the nearest cent as needed.
a) How much will you have in the account in 25 years? $
b) How much of this money did you deposit? $
c) How much of this money is interest earned? $
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52792)   (Show Source):
You can put this solution on YOUR website! .
It is a classic Ordinary Annuity saving plan. The general formula is
FV =  , (1)
where FV is the future value of the account; P is the monthly payment (deposit); r is the monthly percentage yield presented as a decimal;
n is the number of deposits (= the number of years multiplied by 12, in this case).
Under the given conditions, P = 100; r = 0.049/12; n = 12*25 = 300. So, according to the formula (1), you get at the end of the 25-th year
FV =  =  = $58,669.86.
Note that you deposit only 12*25*$100 = $30,000. The rest is what the account earns/accumulates in 25 years.
The interest earned is the difference 58669.80 - 30000 = 28669.86 dollars.
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On Ordinary Annuity saving plans, see the lessons
- Ordinary Annuity saving plans and geometric progressions
- Solved problems on Ordinary Annuity saving plans
in this site.
The lessons contain EVERYTHING you need to know about this subject, in clear and compact form.
When you learn from these lessons, you will be able to do similar calculations in semi-automatic mode.
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website! You deposit $100 each month into an account earning 4.9% interest.
Round all answers to the nearest cent as needed.
a) How much will you have in the account in 25 years? $
b) How much of this money did you deposit? $
c) How much of this money is interest earned? $
a) 
b) Amount deposited: $100(25 * 12), or 100(300) = $30,000
c) You should now be able to answer this!
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