1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Hello, I am a little confused about this problem. Would you mind helping me?
mixas84 [53]

Given the following expression:

(8q^9)^{-4}

To simplify the expression, we will use the following rules:

\begin{gathered} (a^m)^n=a^{m*n} \\ a^{-m}=\frac{1}{a^m} \end{gathered}

So, the given expression will be as follows:

(8q^9)^{-4}=8^{-4}*q^{9*-4}=\frac{1}{8^4}q^{-36}=\frac{1}{4096}q^{-36}

So, the answer will be the second option

7 0
2 years ago
The baseball team is purchasing 10 hot dogs, 4 hamburgers, and three loaded nachos. The snack bar will cover 60% of the cost for
Margaret [11]

Answer:

1.50

Step-by-step explanation:

X = hot dog price

Y = hamburger price

5X + 4Y = 16.50

4X + 5Y = 17.25

4(5X + 4Y = 16.50)

20X + 16Y = 66

5(4X + 5y = 17.25)

20X + 25Y = 86.25

Now subtract the equations:

20X + 16Y = 66

20X + 25Y = 86.25

9Y = 20.25

Y = 2.25

Hamburger is $2.25

4X + 5(2.25) = 17.25

4X + 11.25 = 17.25

4X = 6.00

X = 1.50

Hamburgers are $2.25

Hotdogs are $1.50

4 0
4 years ago
If 7^9/7^n = 7 3, then n is _____. <br> A) -3<br> B) 3<br> C) 6<br> D) 12
frosja888 [35]
9-n=3
-n=3-9
n=9-3
n= 6
6 0
4 years ago
Read 2 more answers
Combine the like terms to make a simpler expression:<br><br> 8r +7 -6r - 5 =
baherus [9]
8r and -6r are like terms. What is 8r-6r?
5 0
3 years ago
Read 2 more answers
I need this answer pleaseee:(
Yakvenalex [24]

Answer:

Given - A triangle PMQ

To find - Measure of Q and N

Solution -

In triangle PMQ

Angle p = 37°

Angle M = 78°

<em><u>Using</u></em><em><u> </u></em><em><u>Angle</u></em><em><u> </u></em><em><u>sum</u></em><em><u> </u></em><em><u>property</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>triangle</u></em><em><u> </u></em><em><u>:</u></em><em><u> </u></em>

Sum of all angles of a triangle = 180°

Angle M + Angle p + Angle N = 180°

78 + 37 + N = 180°

115 + N = 180°

N = 180 - 115

N = 65°

<em><u>In</u></em><em><u> </u></em><em><u>triangle</u></em><em><u> </u></em><em><u>PQR</u></em><em><u> </u></em>

Angle p = 37°

Angle R = 65°

Using Angle sum property

Sum of all angles of a triangle = 180°

Angle p + Angle R + Angle Q = 180°

37 + 65 + Q = 180°

102 + Q = 180

Q = 180 - 120

Q = 60°

5 0
3 years ago
Other questions:
  • What the hell is a rotation?
    7·1 answer
  • Round to the nearest cent. Find the compound amount. Amount $8470 Rate 12% compounded monthly time (years) 2
    13·1 answer
  • Serena is writing an expression that is equivalent to 12ab - 6b, but she has not completed it.
    13·2 answers
  • What is the simplified form of (81x4 y16)1/4?
    11·1 answer
  • A barber gives 16 haircuts in 5 hours. In minutes, at what rate is the barber giving one haircut? How many haircuts can he give
    12·2 answers
  • What is the slope of the equation y=5/4x-7/4?
    10·2 answers
  • Does this table represent a function? Why or why not?<br><br> Answers above
    11·2 answers
  • Which confidence level would produce the widest interval when estimating the mean of a population from the mean and standard dev
    12·2 answers
  • (13m^3n)(5m^2n^2)<br><br> :)
    8·1 answer
  • Ok so I'm new to poker but how did a pair of threes beat a jack, queen, and a king?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!