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PolarNik [594]
2 years ago
11

Sam is thinking of retiring from his job after many years of faithful service. during the last 35 years at his job, his annual s

alary averages to $37,991. every month, his bills total $1,755. how much money would sam need each month to supplement his monthly social security benefit (assuming his annual benefit is 42% of his salary average) and still be able to pay his bills? a. at least $81.23 b. at least $425.32 c. at least $1,410.92 d. at least $3,019.67
Mathematics
1 answer:
Lelechka [254]2 years ago
5 0

Using proportions, the amount of money that Sam would need each month to pay his bills is of:

b. at least $425.32.

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

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, his annual social security benefit is of 42% of $37,991, hence:

A = 0.42 x 37991 = $15,956.22.

Hence the monthly amount is given by:

M = 15956.22/12 = $1,329.68

He needs $1,755 monthly, hence the amount he needs is of at least:

An = 1755 - 1329.68 = $425.32.

Which means that option b is correct.

More can be learned about proportions at brainly.com/question/24372153

#SPJ4

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Which rate describes a unit price?
jarptica [38.1K]
<h2>Answer: <u><em>$5.00 for 1 day</em></u></h2>

Step-by-step explanation:

Unit price refers to the price of an item in one unit (one), 1 in quantity in particular. $5.00 goes in daily pricing - 1 day. While the others are pricing in multiple units.

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2 years ago
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Evaluate 3+(−4)−8−(−1)
castortr0y [4]

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Step-by-step explanation:

3+(−4)−8−(−1)

3 - 4 - 8 + 1

3 - 12 + 1

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4 years ago
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What size is the television screen shown in the illustration? Find if 20 in. and 15 in. ?
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3 years ago
If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation?
zhannawk [14.2K]

Answer:

1

Step-by-step explanation:

A dilation of .1 or 1/2 would decrease the size. Since the numbers are smaller than zero the triangles would no longer be congruent. A dilation of 10 would increase the size of the triangle, causing the triangles to no longer be congruent. A scale fact of one is equivalent to the same size because 1 does not increase or decrease the size.

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4 years ago
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Use the inverse of the function y = x2 − 18x to find the unknown values.
Lerok [7]

ANSWER

b=1, c=81, and d=9.

EXPLANATION

The given function is:

y={x}^{2}-18x

This function is the same as:

y={(x - 9)}^{2}-81

To find the inverse of this function, we interchange x and y.

x={(y-9)}^{2}-81

Solve for y:

x+81={(y- 9)}^{2}

Take square root of both sides:

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y=\pm \sqrt{x + 81}+9

Hence,

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