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Mathematics 21 Online
OpenStudy (anonymous):

Tom invests $6,000 for five years at 8% compounded monthly . How much will he have after the five years? and what is the formula for it?

OpenStudy (anonymous):

Are you aware of what compounded monthly interest is?

OpenStudy (anonymous):

i have no idea

OpenStudy (anonymous):

There are two types of interest simple interest and compound interest, Simple interest: Interest is given but from the original amount, in this context it will always be 8% of 6000 being added Compound interest is a bit more complicated it means that first month it will be 8% of 6000 but the second month it will be 8% of whatever 6000 plus the old interest is

OpenStudy (anonymous):

So what is 8% percent

OpenStudy (anonymous):

$480 right?

OpenStudy (anonymous):

Correct

OpenStudy (anonymous):

ok so what is next?

OpenStudy (anonymous):

at the end of the first moth you will have $6480, second month is 8% of 6480, an on and on until 5 years

OpenStudy (anonymous):

oh ok is there a certain formula for that?

OpenStudy (anonymous):

After 5 years you will have $8,939.07

OpenStudy (anonymous):

Sorry i cant remember the formula

OpenStudy (anonymous):

thats alright! you helped a lot!

OpenStudy (anonymous):

thanks!

OpenStudy (anonymous):

Here you can use this to work it out for now, ill try to remember http://www.moneychimp.com/calculator/compound_interest_calculator.htm

OpenStudy (anonymous):

oh wait i might have found it!

OpenStudy (anonymous):

M = P( 1 + i )n M is the final amount including the principal. P is the principal amount. i is the rate of interest per year. n is the number of years invested.

OpenStudy (anonymous):

\[A=p(1+r/n)^{nt}\]

OpenStudy (anonymous):

6000x(1+12)x5= Answer

OpenStudy (anonymous):

as your doing it mothly so 12 times an year

OpenStudy (anonymous):

monthly*

OpenStudy (anonymous):

ok thanks

OpenStudy (anonymous):

If i was helpful a medal would be appreciated

OpenStudy (anonymous):

Thank You

OpenStudy (anonymous):

no, thank you!

OpenStudy (anonymous):

Any other help just @SchoolSlacker me

OpenStudy (anonymous):

sure thing :)

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