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LiRa [457]
3 years ago
7

Your friend just purchased a new sports car for $32,000. He received $6,000 for his trade in and he used that money as a down pa

yment for the new sports car. He financed the vehicle at 6.76% APR over 48 months with a monthly payment of $619.15. Determine, from the given information, the finance charge.
Mathematics
1 answer:
valentinak56 [21]3 years ago
5 0
The solution to the problem is as follows:

let


R = $619.15 periodic payment


i = 0.0676/12 the rate per month


n = 48 periods


S = the future value of an ordinary annuity


S = R[((1 + i)^n - 1)/i]


S = 619.15*[(1 + 0.0676/12)^48 - 1)/(0.0676/12)]


S = $34,015.99

I hope my answer has come to your help. God bless and have a nice day ahead!



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Answer:

Side length = \sqrt{\frac{A}{3} } cm ,   Height =  \frac{1}{2} \sqrt{\frac{A}{3} } cm  ,  Volume = \frac{A\sqrt{A}}{6\sqrt{3} }  cm³

Step-by-step explanation:

Assume

Side length of base = x

Height of box = y

total material required to construct box = A ( given in question)

So it can be written as

A = x² + 4xy

4xy = A - x²

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Volume of box = Area x height

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x^{2} = \frac{A}{3}

x = \sqrt{\frac{A}{3\\} }

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y = \frac{2 \sqrt{\frac{A}{3} } }{4 \sqrt{\frac{A}{3} } }

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So the volume will be

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Put values of x and y from equation 2 & 3

V = \frac{A}{3} (\frac{1}{2} \sqrt{\frac{A}{3} } )

V = \frac{A\sqrt{A}}{6\sqrt{3} }

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