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Alja [10]
3 years ago
10

Cesar had a part-time job last year. He worked every week for the year and made $23 an hour. He worked 28 hours each week. Cesar

saved what was left of his earnings after paying all of his monthly expenses. At the end of the year, he had saved $3,360. What were Cesar’s average monthly expenses, rounded to the nearest dollar?
A. $1,288
B. $1,680
C. $2,403
D. $2,511
E. $2,791
Mathematics
2 answers:
Naddika [18.5K]3 years ago
5 0

Answer:

D. $2,511

Step-by-step explanation:

First off, we need to write down the facts we know.

There are about 52.177 weeks in a year

Cesar works 28 hours each week

Cesar makes $23 an hour

There are 12 months in a year

Cesar has $3,360 after his monthly expenses

To figure out how many hours are in a "work year," multiply the number of work hours in a week by the number of weeks in a year. In other words, multiply Cesar's 28 hour work week by about 52.177 weeks. That makes 1,456 hours in his work year. That means he makes $33,492 a year. If you multiply $2,511 by the months in a year (12), you get $30132. Finally, subtract his annual salary by $30132 to get $3,360, which is what was left of Cesar's earnings after paying all of his monthly expenses.

wariber [46]3 years ago
5 0

Answer:

D. $2,511

Step-by-step explanation:

$23 x 28 x 52 = $33,488

$33,488 ÷ 12 = $2,790.66 = $2,791

12($2,791) - $3,360 = 30,132

$30,132 ÷ 12 = [$2,511]

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Mice21 [21]

Answer:

$172,984.44

Step-by-step explanation:

We can use the formula

A = P(1 + \frac{r}{n})^{nt} to compute the final amount

Here P is the principal amount, the original deposit = $25,000

r is the annual interest rate = 6.5% = 0.065 in decimal

n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year

t is the number of time periods ie 30 years

A is the accrued amount ie principal + interest

Computing different components,

nt = 4 \times 30 = 120

r/n =  0.065/4 = .01625

1 + r/n = 1.01625

(1 + r/n)^{nt} = 1.01625^{120}

Therefore

A = 25000 \times 1.0625^{120} = 172,984.44


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2 years ago
Subtract seven over eight minus two over three
Stells [14]

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Step-by-step explanation:

hope it works for u good luck

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So i'm really confused how do you get 3 5/12 in this question? Manson bought 8 1/4 feet of wire. He cut off a piece of wire 3 5/
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Answer:

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Step-by-step explanation:

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Using translation concepts, the graph of f(x) = (x - 2)² + 3 is given at the end of the question.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, we have that the parent and the translated function are given, respectively, by:

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The translations are as follows:

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Hence the graphs are given at the end of the answer, with the parent function in red and the translated function f(x) = (x - 2)² + 3 in green.

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