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3 years ago

PLEASE HELP:

Mathematics

1 answer:

jeka943 years ago

8 0

Answer:

$4,711.31

Step-by-step explanation:

Calculation for Jennifer's monthly gross pay

First step is to calculate The total tax percentage deductions

Using this formula

Total tax percentage deductions =State tax + City tax + Social security + Medicare

Let plug in the formula

Total tax percentage deductions = 3.5% +2.5% +6.2% +1.45%

Total tax percentage deductions = 13.65%

Now let calculate the monthly gross pay

Monthly gross pay= ($3,981.22 +87)/(1-13.65%)

Monthly gross pay= ($3,981.22 +87)/0.8635

Monthly gross pay=$4,068.22/0.8635

Monthly gross pay= $4,711.31

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Frazer scores 70% in a spelling test with 20 questions. How many did he get right? Show me your work.

ladessa [460]

Fraser got 14 questions right

questions correct 70/5 = 14
—— ——
total questions 100/5 = 20

therefore he got 14 questions right

you divide 100 by 5 because percents are always out of 100 and that gets you 20 which is how many questions the spelling bee had

then you do the same to the top (divide by 5) and get 14

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3 years ago

A sum of $4200 was invested, part at 8% and the remainder at 11%. If $426.00 was earned in interest after one year, how much was

enot [183]

Answer:

$3000 was invested at 11%.

Step-by-step explanation:

The total interest was $426. This was comprised of interest earned at 8% (represented by e) and (separately) interest earned at 11% (represented by v).

Then e + v = $4200 total investment, and

i = $426 = e(0.08)(1 year) + v(0.11)(1 year)

We eliminate the variable e as follows: since e + v = $4200, e = $4200 - v. Thus,

i = $426 = e(0.08)(1 year) + v(0.11)(1 year) becomes:

i = $426 = ($4200 - v)(0.08)(1 year) + v(0.11)(1 year)

This is one equation in one unknown, the amount of $ invested at 11%.

Performing the indicated multiplications:

426 = 4200(0.08) - 0.08v + 0.11v. Simplifying this further, we get:

426 = 336 + 0.03v.

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3 years ago

Nine less than five times a number is equal to -30

disa [49]

To solve this question, we can start to set up an equation using what the question is telling us. Since we don't know what the number is, let's make it equal to x.

The phrase "5 times a number" means that we're multiplying our unknown, x, by 5. That is equal to 5x. 9 less than that would be 5x - 9. Since we know that it's equal to -30, we can solve.

5x - 9 = -30

Get all terms with x on one side and the constants on the other

5x - 9 +9 = -30 + 9

Simplify

5x = -21

Now, we can divide both sides by 5 to get our answer of x = - $\frac{21}{5}$

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