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kenny6666 [7]
4 years ago
14

Mrs. Santos is paid semimonthly. Her semi-monthly salary is $2,533.55. What is her

Mathematics
1 answer:
NeX [460]4 years ago
5 0

Annual salary of Mrs. Santos is \$60805.2

<u>Solution: </u>

Given that  

Mrs. Santos is paid semi-monthly.  

Semimonthly salary of Mrs. Santos = \$2,533.55

Semi month = half of months  

\Rightarrow 2 semi month forms a month

So one month salary of Mrs. Santos \rightarrow 2 \times 2533.55=\$ 5067.10

We need to calculate annual salary.  There are 12 months in a year  

So, \text { annual salary of Mrs. Santos }=12 \times \text { one month salary of Mrs. Santos }

\Rightarrow 12 \times \$ 5067.10=\$ 60805.2

Hence annual salary of Mrs. Santos is \$60805.2

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What is the solution to the system of equations below?
Andre45 [30]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equations

y=-6x-10

y=-3x-21

solving the system of the equations

Arrange the equation variables for elimination

\begin{bmatrix}y+6x=-10\\ y+3x=-21\end{bmatrix}

y+3x=-21

-

\underline{y+6x=-10}

-3x=-11

\begin{bmatrix}y+6x=-10\\ -3x=-11\end{bmatrix}

solve

-3x=-11

Divide both sides by -3

\frac{-3x}{-3}=\frac{-11}{-3}

x=\frac{11}{3}

\mathrm{For\:}y+6x=-10\mathrm{\:plug\:in\:}x=\frac{11}{3}

y+6\cdot \frac{11}{3}=-10

y+6\cdot \frac{11}{3}=-10

y=-32

Therefore, the solutions to the system of the equations are:

y=-32,\:x=\frac{11}{3}

But, it seems none of the options is true.

8 0
3 years ago
Read 2 more answers
A pair of shoes is on sale for 15% off. With this discount, customers will save $9 if they buy the shoes. Part AIn this situatio
In-s [12.5K]

Answer:

(b)The original price of the shoes is $60.

Explanation:

Part A

In this situation:

• 15% is the PERCENT

,

• $9 is the PART

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• The original price is the WHOLE.

Part B

If 15% is taken off, the customer will save $9.

This means that 15% of the original price = $9.

Let the original price=p

\begin{gathered} 15\%\text{ of p=9} \\ \frac{15}{100}p=9 \\ 15p=900 \\ p=\frac{900}{15} \\ p=60 \end{gathered}

The original price of the shoes is $60.

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2 years ago
Robs age is twice the sum of Julias age and 10. Rob is 24 years old. Write and solve an equation to determine Julia's age.
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Step-by-step explanation:

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3 years ago
Write a system of equations in x and y describing the situation. Do not solve the system. Keiko has a total of $ 5600 comma$5600
IgorLugansk [536]

Answer:

The correct answers are x + y = 5600 and x - y = 700.

Step-by-step explanation:

Write a system of equations in x and y describing the situation. Do not solve the system.

Keiko has a total of $ 5600, which she has invested in two accounts.

Let x be the amount of money in the larger account and y be the amount of money in the smaller​ account.

So, Keiko has invested her $5600 in two accounts x and y.

Thus x + y = 5600.

Also, given by the problem, the larger account (x) is $ 700 greater than the smaller account (y).​

Thus x - y = 700.

Thus the two system of equation in x and y describing the given situation are

x + y = 5600 and x - y = 700

8 0
3 years ago
Given the graphs of y = 3x - 1 and y = -2x + 1, determine
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Там сапоги сияют звёздной пылью.

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Step-by-step explanation:

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3 years ago
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