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seropon [69]
2 years ago
14

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?
Mathematics
2 answers:
Tresset [83]2 years ago
8 0
Annual Social Security benefit = 0.42 x $37,991 = $15,956.22
Annual bills = $1,755 x 12 = $21,060
Outstanding annual bill to be settled after using the Social Security benefit = $21,060 - $15,956.22 = $5,103.78
Monthly supplementary money needed = $5,103.78/12 = $425.32
mrs_skeptik [129]2 years ago
3 0

Answer:

At least $425.32

Step-by-step explanation:

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If y varies directly as x, and y is 400 when x is r and y is r when x is 4, what is the numeric constant of variation in this
otez555 [7]

Answer:

10

Step-by-step explanation:

If there is a direct relation between two variables x and y then it can be represented as

y = kx ,

where y is dependent variable

x is  independent variable

k is constant of variation

_____________________________

First condition

y = 400

x = r

using y = kx then relationship will be

400 = kr

finding k here

k = 400/r

Second condition

y = r

x = 4

using y = kx then relationship will be

r = 4k

finding k

k = r/4

since  in both condition equation is same

thus, value of k will also be same

thus,

400/r = r/4

=> 400*4 = r*r

=> 1600 = r^2

\sqrt{r^{2} }  = \sqrt{1600} \\r = 40

Thus, 40 is the value of r

k = r/4 = 40/4 = 10

Thus, constant of variation is 10 which is correct choice.

To cross validate

k = 400/r = 400/40 = 10

7 0
2 years ago
Read 2 more answers
Matilda, Tanya and Renee are auditioning for a play. In how many ways can the girls fill the roles of a grandmother, mother, and
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The girls fill the roles of a grandmother, mother, and daughter by permutation. It is a way, especially one of several possible variations, in which a set or number of things can be ordered or arranged. Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
7 0
2 years ago
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A print shop makes bumper stickers for election campaigns. If x stickers are ordered (where x < 10,000), then the price per s
Sergeu [11.5K]

Answer:

P(x) = (0.049x - 0.0000015x²)

Step-by-step explanation:

price per sticker is 0.14 − 0.000002x dollars

total cost of producing the order is 0.091x − 0.0000005x² dollars.

P(x) = profit = Revenue - Cost

Let the number of units of stickers made be x

Revenue = (price per sticker) × (total units sold) = (0.14 − 0.000002x) × (x)

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P(x) = 0.14x - 0.000002x² - (0.091x − 0.0000005x²) = 0.14x - 0.091x - 0.000002x² + 0.0000005x²

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3 0
2 years ago
Match each expression to the scenario it represents.
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Answer:

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Step-by-step explanation:

4 1
1 year ago
Three years ago Tom was twice as old as Jean, and in two years the sum of their ages will be 28 years. Find their present ages.
lubasha [3.4K]

Answer:

Jean is 9 and Tom is 15.

Step-by-step explanation:

3 years ago, Tom was 12 and Jean was 6, hence Tom was twice as old as Jean.  

Since that was their age 3 years ago, they are currently 15 (Tom) and 9 (Jean).  

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17 + 11 = 28

3 0
2 years ago
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