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Mathematics 16 Online
OpenStudy (d9414):

You take out a​ $24,000 loan to purchase a car. The APR is​ 6%, compounded monthly. You have 5 years to repay the loan. How much total interest will you have paid at the end of the​ loan? Give answer rounded to the nearest whole number.

OpenStudy (d9414):

i have work to show you what i've tried

OpenStudy (thegrimreaper666):

I have a formula you can use?

OpenStudy (thegrimreaper666):

Or do you have that already? I think it would be best if you showed me what you've done

OpenStudy (d9414):

OpenStudy (thegrimreaper666):

I think your problem was that you used the formula for simple interest

OpenStudy (thegrimreaper666):

This is compound, so you would use the formula A=P(1+r/n)^t

OpenStudy (thegrimreaper666):

Unless you used that and I'm blind as a bat

OpenStudy (thegrimreaper666):

So if I fill that in, you get A=24000(1+.06/12)^5

OpenStudy (d9414):

okay that's what i orginally used. after i use the compound formula do i insert that to the simple interest?

OpenStudy (thegrimreaper666):

Don't use simple interest at all. If they want to know the total interest instead of the total amount, just subtract 24000 from A, and round to the nearest hundredth if necessary

OpenStudy (d9414):

one more question so when would i use the simple interest formula?

OpenStudy (thegrimreaper666):

If the question doesn't say that the interest compounds, then is when you should use the simple interest formula. In this situation, it says that it compounds monthly, so you would use compound interest.

OpenStudy (d9414):

oh wait I didn't use the simple interest formula

OpenStudy (d9414):

i used the amorization payment formula

OpenStudy (d9414):

@IrishBoy123

OpenStudy (d9414):

can you help please @TheGrimReaper666

OpenStudy (thegrimreaper666):

Hey what's up

OpenStudy (d9414):

i did what you told me and i got the answer wrong

OpenStudy (thegrimreaper666):

What did you get?

OpenStudy (d9414):

8372

OpenStudy (thegrimreaper666):

I can walk you through the formula then, because that is not what I got.

OpenStudy (d9414):

okay, yes that would be great

OpenStudy (thegrimreaper666):

So, first, you need to do .06/12

OpenStudy (thegrimreaper666):

And you get...?

OpenStudy (d9414):

0.05

OpenStudy (thegrimreaper666):

.005

OpenStudy (thegrimreaper666):

Next, add one

OpenStudy (thegrimreaper666):

1.005

OpenStudy (thegrimreaper666):

After that, you need to do one to the power of five

OpenStudy (thegrimreaper666):

*1.005

OpenStudy (d9414):

wait wouldn't be to the pwoer of 60?

OpenStudy (d9414):

cause the formula is n*t

OpenStudy (d9414):

12*5

OpenStudy (thegrimreaper666):

Oh, right.

OpenStudy (thegrimreaper666):

Forgive my brain running off for a bit

OpenStudy (d9414):

it's okay lol

OpenStudy (thegrimreaper666):

And your answer to that is..?

OpenStudy (d9414):

1.3488501525493160693460091724394

OpenStudy (thegrimreaper666):

Then multiply it by 24000 and subtract

OpenStudy (d9414):

and i get my same answer and it says its wrong

OpenStudy (thegrimreaper666):

Well then, try 606.03

OpenStudy (d9414):

thats not right either

OpenStudy (thegrimreaper666):

Wait, did you include the cents

OpenStudy (d9414):

my professor wanted it to the nearest whole number

OpenStudy (thegrimreaper666):

The last things I would tell you to try, is to try to the power of twelve and also just 32372 and see if the question was worded wrong.

OpenStudy (thegrimreaper666):

If none of those work, I don't know what to tell you, and I'm sorry I couldn't help.

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