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Mathematics 8 Online
USMCSemperFi:

Please help me in Math.

USMCSemperFi:

An amount of $50,000 is borrowed for 13 years at 7% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?

USMCSemperFi:

I believe I should multiply 7% by 13 right?

Falconmaster:

Hey just a tip for you vocaloid and blackghost are really helpful in meth and welcome to qc

Falconmaster:

math sorry for the typo

Vocaloid:

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Vocaloid:

total amount to be paid back is A P is the initial loan amount (50,000), time is 13 years, interest is 7% (convert this to a decimal, 0.07), n = 1 since we're only compounding once per year calculate A

USMCSemperFi:

So... 13 * 0.07?

Vocaloid:

please look at the formula I have posted and plug in the appropriate values

USMCSemperFi:

A = 50,000(1 + 7/13) ^13

USMCSemperFi:

Is that correct?

Vocaloid:

n is 1, r is 0.07 A = 50,000(1 + 0.07) ^13 = ?

USMCSemperFi:

I can't figure it out... i'm sorry

Vocaloid:

you just need to plug in 50,000(1 + 0.07) ^13 into a calculator

USMCSemperFi:

I'm trying to... but it just gives me 0

Vocaloid:

1 + 0.07 first then raise it to the power of 13 then multiply it by 50,000

USMCSemperFi:

Ah... let's try that

USMCSemperFi:

1 + 0.07 = 1.07

USMCSemperFi:

1.07^13 = 2.41

USMCSemperFi:

Is the answer 120.5?

Vocaloid:

2.41 * 50,000 = ?

USMCSemperFi:

Hmm I was using a math calculator online... let me use the one that comes with my iPhone

USMCSemperFi:

I got 120,500

Vocaloid:

good, since you rounded 1.07^13 to 2.41 you end up with $120,500, but if we leave (1.07)^13 * 50,000 unrounded until the end, we get $120492.25 which is a bit more accurate, so I'd go with $120492.25

USMCSemperFi:

Thank you so much :)

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