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Mathematics 10 Online
OpenStudy (brittanydosey):

8. You (or your parents) purchase a new car for $19,725.00 plus 4.75% sales tax. The down payment is $2,175.00 and you (or your parents) have an average credit rating. How much interest is accrued after the first month? (1 point) $ . i honestly have no idea help?

OpenStudy (anonymous):

i think there is some missing information here, whats the interest rate for someone with an average credit rating?

OpenStudy (brittanydosey):

average: secured: 5.85% and for unsecured it is 6.20%

OpenStudy (anonymous):

ok is this situation secured or unsecured?

OpenStudy (anonymous):

http://en.wikipedia.org/wiki/Secured_loan

OpenStudy (brittanydosey):

secured

OpenStudy (anonymous):

why is it secured?

OpenStudy (anonymous):

i honestly dont know

OpenStudy (anonymous):

seems to me it would be unsecured

OpenStudy (brittanydosey):

yeah that is what im starting to think that it has to be unsecured

OpenStudy (anonymous):

oh wait no nvm, i think it is secured, the collateral is the car, my bad

OpenStudy (anonymous):

ok so lets assume its secured

OpenStudy (brittanydosey):

ok

OpenStudy (anonymous):

first need to figure out the total amount paid for the new car, how much would that be including tax?

OpenStudy (brittanydosey):

$19,725.00 plus 4.75% sales tax.

OpenStudy (anonymous):

yes so whats the total dollar amount, including tax?

OpenStudy (anonymous):

by the way lets assume that taxes are included in financing

OpenStudy (brittanydosey):

$19,729.75 is the total dollar amount

OpenStudy (anonymous):

no

OpenStudy (anonymous):

how much is sales tax? how do you calculate it

OpenStudy (brittanydosey):

the sales tax is 4.75% it says $19,725.00 plus 4.75% sales tax.

OpenStudy (anonymous):

im saying how much is sales tax in dollars

OpenStudy (anonymous):

how much is 4.75% of 19725

OpenStudy (brittanydosey):

i have no idea

OpenStudy (anonymous):

ok so when you see the word "of", that should indicate multiplication so 4.75% times 19725 or 4.75% multiplied by 19725

OpenStudy (anonymous):

can you convert 4.75% into a decimal?

OpenStudy (brittanydosey):

ok so i multiplied 4.75% and 19725 and i got 93,693.75

OpenStudy (anonymous):

thats close, but we can think that a percentage less than 100% will be smaller than the original number, so we know thats incorrect

OpenStudy (texaschic101):

turn your percent to a decimal, then multiply

OpenStudy (anonymous):

to convert 4.75% into a decimal you divide 4.75 by 100

OpenStudy (brittanydosey):

0.0475

OpenStudy (anonymous):

correct

OpenStudy (anonymous):

now multiply that number by 19725

OpenStudy (brittanydosey):

936.9375

OpenStudy (anonymous):

perfect, so that is your interest in dollars, it has fractions of a penny included, but leave those for now, we will round at the end if necessary

OpenStudy (anonymous):

so now total = 19725 + interest in dollars = ?

OpenStudy (brittanydosey):

20,661.9375

OpenStudy (anonymous):

perfect

OpenStudy (anonymous):

so now we take that number and subtract the down payment, because that is how much we are paying initially, so we wont have to pay interest on the entire 20661.9375

OpenStudy (anonymous):

so what is the total 20661.9375 minus the down payment?

OpenStudy (brittanydosey):

18,486.9375

OpenStudy (anonymous):

perfect, now we know the interest rate is 5.85% per month, from what you told me earlier

OpenStudy (brittanydosey):

yes

OpenStudy (anonymous):

what is 5.85% of 18486.9375 ?? use the same process as before convert percentage to decimal then multiply

OpenStudy (brittanydosey):

108,148.584

OpenStudy (anonymous):

no but close, you need to convert 5.58% into a decimal before you multiply

OpenStudy (anonymous):

but really you can just now divide what you got by 100 also

OpenStudy (anonymous):

108,148.584 divided by 100 is?

OpenStudy (brittanydosey):

1,081.48584

OpenStudy (anonymous):

correct, so now we want to round down or up, im not sure how the bank would round but lets assume, up, so rounded up to the nearest penny, we have $1081.49, that is your answer

OpenStudy (brittanydosey):

ok thank you for your help

OpenStudy (anonymous):

yw

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