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3 years ago

Danielle’s retirement income is $90,000. Assuming it is 70% of his final salary, what was her final salary

Mathematics

1 answer:

Nitella [24]3 years ago

8 0

Answer: C

Step-by-step explanation:

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A store is having a sale on chocolate chips and walnuts. For 3 pounds of chocolate chips and 5 pounds of walnuts, the total cost

umka21 [38]

c = cost per pound of chocolate chips

w = cost per pound of walnuts.

$\bf \stackrel{\textit{3 lbs of "c"}}{3c}+\stackrel{\textit{5 lbs of "w"}}{5w}~~=~~\stackrel{\textit{costs}}{15} \\\\\\ \stackrel{\textit{12 lbs of "c"}}{12c}+\stackrel{\textit{2 lbs of "w"}}{2w}~~=~~\stackrel{\textit{costs}}{33} \end{cases}\qquad \impliedby \textit{let's use elimination} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{llccccccl} 3c+5w=15&\times (-4)\implies &-12c&+&-20w&=&-60\\ 12c+2w=33&&12c&+&2w&=&33\\ \cline{3-7}\\ &&0&&-18w&=&-27 \end{array}$

$\bf -18w=-27\implies w=\cfrac{-27}{-18}\implies \blacktriangleright w=\cfrac{3}{2} \blacktriangleleft \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{3c+5\left(\cfrac{3}{2} \right)=15}\implies 3c+\cfrac{15}{2}=15 \implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( 3c+\cfrac{15}{2} \right)=2(15)} \\\\\\ 6c+15=30\implies 6c=15\implies c=\cfrac{15}{6}\implies \blacktriangleright c=\cfrac{5}{2} \blacktriangleleft$

6 0

3 years ago

How was his payment

dmitriy555 [2]

Subtract off the down payment: 880 - 250 = 630

So he'll pay 630 over 8 equal payments
Divide: 630/8 = 78.75

His monthly payment is $78.75

7 0

3 years ago

20) A jar filled with only dimes and quarters contains a total of 23 coins. The value of all the coins in

nignag [31]

Answer:

6 quarters

Step-by-step explanation:

6 quarters = 1.50

So that would leave 17 dimes left

And 17 dimes left equal 1.70

1.50 + 1.70 = 3.20

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2 years ago

What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?

ANTONII [103]

The slope would be 1/4 because to find the perpendicular slope, you find the negative reciprocal

3 0

2 years ago

Michelle scored a 52% on her test. The test has 25 total questions. How

KonstantinChe [14]

Answer:

Step-by-step explanation:

write a proportion: 25 : 100

13 - x into percent.

13 = 25

100 = x

cross multiply and you have your answer.

5 0

2 years ago