Ask your own question, for FREE!
Mathematics 18 Online
OpenStudy (rockinhood):

Please help!!!

OpenStudy (rockinhood):

http://prntscr.com/b2mqd6

OpenStudy (tt0860):

well 10 yeaars=120 months and 500x50=25000

OpenStudy (tt0860):

so instead of u saying ten years change it to 120 months

OpenStudy (erak):

Darn, doing my method gives an answer that is close to the 3rd or 4th answer, but no bueno so far.

OpenStudy (rockinhood):

Tt that may be true, but it's not compounding that way

OpenStudy (asett):

You still need help with this? Let me look up the formula... :)

OpenStudy (asett):

\[A=P(1+\frac{ r }{ n })^{nt}\]

OpenStudy (marcelie):

its that one formula r = % /100 hmm i think itll be something like this 500= .........

OpenStudy (asett):

P is initial deposit, r is annual rate of interest, n is number of times interest is compounded per year, and t is length of time the money is in the bank! Does that help you? Do you need me to walk you through it?

OpenStudy (rockinhood):

He started with 500, but after that it's a different constant rate, which is confusing me.

OpenStudy (asett):

Ah, I see it. Give me a mo

OpenStudy (asett):

\[PMT \times(\frac{ (1+r)^{nt-1} }{ rn })\]

OpenStudy (asett):

A is equal to the addition of these two equations! Let's do it together. There's a lot.

OpenStudy (rockinhood):

what is pmt?

OpenStudy (asett):

Whoa, hold on: one mistake in my formula: \[PMT \times(\frac{ (1+r)^{nt}-1 }{ rn})\]

OpenStudy (asett):

PMT is the monthly payment, which is 50. Correct?

OpenStudy (rockinhood):

Right

OpenStudy (asett):

and r should be 0.0095, right?

OpenStudy (rockinhood):

Right, I accidentally did 0.0098 haha

OpenStudy (asett):

:)

OpenStudy (asett):

Okay, so let's right out our formula!

OpenStudy (rockinhood):

(1.0095)^10 - 1) 50 x ( -------------- ) 0.0095

OpenStudy (rockinhood):

But what about the added 500 he used to opened the account?

OpenStudy (asett):

That's in the first part of this equation, but lets take this part first. Remember, the n is different for this part, he adds 50 every month, so n is 12, giving us ((1.0095)^(12*10))-1 50 x ( ------------------) 0.0095 (---) 12

OpenStudy (asett):

((1.0095)^(12*10))-1 50 x ( ------------------) .00079167

OpenStudy (rockinhood):

Would it also work as 600 per year ? (Where n = 1)

OpenStudy (asett):

True, we could do it that way if you want, since it is compounded annually anyway!

OpenStudy (asett):

What do you get when you use 600?

OpenStudy (asett):

600 x (((1.0095)^10) - 1)/0.0095

OpenStudy (asett):

You doing alright?

OpenStudy (rockinhood):

6263.11 ?

OpenStudy (asett):

That's exactly what I got, but don't to the hundredths place, because that's what our answers are given in, instead round to the thousandths place: 6263.107 so that you'll get the exact answer! Great job though!! Now, we shall continue to the second part of this equation...

OpenStudy (asett):

The original part, with the P(1+r/n)^nt

OpenStudy (rockinhood):

What do I do for it?

OpenStudy (asett):

Plug in the rest of your values! P=500, r=0.0095, n=1, and t=10. Solve it and let me know what you get. I'll show you where we go next! :)

OpenStudy (rockinhood):

549.58?

OpenStudy (asett):

and what's the thousandths decimal value?

OpenStudy (rockinhood):

2

OpenStudy (rockinhood):

So is the answer C ?

OpenStudy (asett):

Yes!! Exactly. Isn't that awesome! Great job, man.

OpenStudy (rockinhood):

Thank you SO MUCH. You are a lifesaver!!!

OpenStudy (asett):

Hey, no problem. I'll see you around. :)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!