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Mathematics 8 Online
OpenStudy (anonymous):

HELPPPP PLEASE!!!!!!!!

OpenStudy (anonymous):

@satellite73

OpenStudy (anonymous):

HELP PLEASEEEE!!!

OpenStudy (anonymous):

@ANYONE

OpenStudy (anonymous):

what..what...

OpenStudy (anonymous):

thnnks~ Here is the problem i have a few so it would be great if you could hep me with all of them

OpenStudy (anonymous):

For the investment with interest compounded annually, find the final balance and the total interest earned. $70,600 for 3 years at 4.2% A. final balance: $70,896.52 interest earned: $296.52 B. final balance: $73,565.20 interest earned: $2965.20 C. final balance: $79,495.60 interest earned: $8895.60 D. final balance: $79,874.45 interest earned: $9274.45

OpenStudy (anonymous):

how would you figure this out

OpenStudy (anonymous):

would it be the ammount of money divided by the percent of interest? Times the number of years?

OpenStudy (anonymous):

what's the formula for compounded interest?

OpenStudy (anonymous):

i am not sure is it the thing i just typed above?

OpenStudy (anonymous):

that's more like simple interest

OpenStudy (anonymous):

ok i dont know

OpenStudy (anonymous):

with compunded interest the Principal + Interest from first year goes into the calc for interest of the second year and so on with thirrd year...

OpenStudy (anonymous):

what???

OpenStudy (anonymous):

tell me that's the interest after year 1 ?

OpenStudy (anonymous):

4.2

OpenStudy (anonymous):

that is the percent of interest for the first year out of the money ammount total

OpenStudy (anonymous):

no i mean the amount of interest earned after 1 year

OpenStudy (anonymous):

ok so how would you find that out is there a formula?

OpenStudy (anonymous):

70600 * 4.2/100 right?

OpenStudy (anonymous):

ok why thoes numbers?

OpenStudy (anonymous):

if i know how to do the formula then i can do any problem likeths

OpenStudy (anonymous):

after year 1 the interest amoutn is $2965.20

OpenStudy (anonymous):

ok how did you get that??

OpenStudy (anonymous):

would you do 76000/4.2??

OpenStudy (anonymous):

now add this amount to 70600 and calc the interest amount for year 2... this is what they call compounded interest, ok?

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

is that the formula?

OpenStudy (anonymous):

would you do 76000/4.2?? NO

OpenStudy (anonymous):

I will find the formula now, this is the long way, hold on...

OpenStudy (anonymous):

no why?

OpenStudy (anonymous):

because you multiply the interest rate by the amount, not divide them..

OpenStudy (anonymous):

if you put $10'000 in the bank for a year at an interest rate of 5% what will the interest amount be at the end of the year?

OpenStudy (anonymous):

the formula for compound interest is here https://qrc.depaul.edu/StudyGuide2009/Notes/Savings%20Accounts/Compound%20Interest.htm

OpenStudy (anonymous):

10000 * 5/100 = 500, so your 10000 made you 500 after a year

OpenStudy (anonymous):

ok i get it

OpenStudy (anonymous):

thanks so much!!!

OpenStudy (anonymous):

can you work me through this problem?

OpenStudy (anonymous):

yes sure

OpenStudy (anonymous):

thank you so much you will be fanned and medalized!!!

OpenStudy (anonymous):

so would we do 1600/4.2/100?

OpenStudy (anonymous):

sorry 76000/4.2/100

OpenStudy (anonymous):

ok well i am confused now

OpenStudy (anonymous):

no multiply by 4.2/100 not divide

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

what do u get?

OpenStudy (anonymous):

9576

OpenStudy (anonymous):

I get 2965.2 how did u get urs?

OpenStudy (anonymous):

i did 76000*4/2/100*3 to get 9576

OpenStudy (anonymous):

sorry i ment 4.2

OpenStudy (anonymous):

first the amoutn is 70600 not 76000 :) do it again please

OpenStudy (anonymous):

i got 8895.6

OpenStudy (anonymous):

thank you for helping me

OpenStudy (anonymous):

70600 * 4.2 ---------- = 706 * 4.2 = 2965.2 100

OpenStudy (anonymous):

ok well i entered 70600*4.2/100*3

OpenStudy (anonymous):

ahhh u trying to do it for 3 years, hold on, we are only doing year 1 first ok?

OpenStudy (anonymous):

oh i get it ok!!!

OpenStudy (anonymous):

htat is why we were off

OpenStudy (anonymous):

yep

OpenStudy (anonymous):

ok i get how to do it! Thank u so much again!!!!

OpenStudy (anonymous):

what is it now for year 2, given that u have a new amount which is 70600 + 2965.2 = 73565.2 can u work it out for one year only?

OpenStudy (anonymous):

73565.2 * 4.2 ----------- = 3089.7384 100

OpenStudy (anonymous):

it is C

OpenStudy (anonymous):

now do year 3, the amount becomes 3089.7384 + 73565.2 = 76654.9384 76654.9384 * 4.2 --------------- = 3219.5074128 100 add this to the amoutn 76654.9384 + 3219.5074128 = 79874.4458128 the answer is D

OpenStudy (anonymous):

now use the forumula for compounded interest and you should get the same result A = 70600 (1 + 0.042)^3 = 70600 * 1.131366088 = 79874.4458128

OpenStudy (anonymous):

thanks for sticking around ;)

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