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BARSIC [14]
3 years ago
12

The employees in a firm earn $8.50 an hour for the first 40 hours per week, and 1.5 times the hourly rate for any hours worked o

ver 40. How much does an employee who works 52 hours in one week earn?
Mathematics
1 answer:
Leto [7]3 years ago
7 0

Answer:

$493

Step-by-step explanation:

8.50 x 40 = 340

1.5 x 8.5 = 12.75

12 x 12.75 = 153

340+ 153

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D. $31,337.27

Step-by-step explanation:

We have that the initial amount of the loan is $5500.

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The rate of interest on the loan is 7.5% i.e. 0.075 and it was for the duration of 10 years.

Also, it is given that the loan was compounded annually.

We have the formula as,

P=\frac{\frac{r}{n}\times PV}{1-(1+\frac{r}{n})^{-t\times n}}

i.e. PV=\frac{P\times [1-(1+\frac{r}{n})^{-t\times n}]}{\frac{r}{n}}

Substituting the values, we get,

i.e. PV=\frac{P\times [1-(1+\frac{0.075}{12})^{-10\times 12}]}{\frac{0.075}{12}}

i.e. 22000=\frac{P\times [1-(1+0.00625)^{-120}]}{0.00625}

i.e. 22000=\frac{P\times [1-(1.00625)^{-120}]}{0.00625}

i.e. 22000=\frac{P\times [1-0.4735]}{0.00625}

i.e. 22000=\frac{P\times 0.5265}{0.00625}

i.e. P=\frac{22000\times 0.00625}{0.5265}

i.e. P=\frac{137.5}{0.5265}

i.e. P=261.16

Thus, the total lifetime cost to pay of the loans compounded annually  = 261.16 × 120 = $31,339.2

Hence, the total cost close to the answer is $31,337.27

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3 years ago
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