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dolphi86 [110]
3 years ago
8

Sara can complete 3/4 of a puzzle in 7/8 of an hour. How much a puzzle can she complete in an

Mathematics
1 answer:
8090 [49]3 years ago
7 0

Answer:

x = 6/7 of a puzzle

Step-by-step explanation:

Number of puzzle : time taken

= 3/4 : 7/8

How much a puzzle can she complete in an hour?

Let

x = number of puzzle to complete

Number of puzzle : time taken

= x : 1

Equate both ratios to solve for x

3/4 : 7/8 = x : 1

3/4 ÷ 7/8 = x / 1

3/4 × 8/7 = x / 1

24/28 = x / 1

Cross product

24 * 1 = 28 * x

24 = 28x

x = 24/28

= 6/7

x = 6/7 of a puzzle

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This question can be approached using the present value of annuity formula. The present value of annuity is given by PV=P\left( \frac{1-\left(1+ \frac{r}{t} \right)^{-nt}}{ \frac{r}{t} } \right), where: PV is the present value/amount of the loan, P is the periodic (monthly in this case) payment, r is the APR, t is the number of payments in one year and n is the number of years.

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Therefore, his monthly payment is $119.44</span>
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