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RoseWind [281]
3 years ago
15

Christine's gross monthly salary at her job

Mathematics
1 answer:
jonny [76]3 years ago
7 0

Answer:

  $2587.87 per month

Step-by-step explanation:

The listed deductions are ...

  • 25% withheld for federal income tax
  • 9.3% withheld for California state income tax
  • 6.2% withheld for Social Security tax
  • 1.45% withheld for Medicare Tax
  • 0.9% withheld for SDI- Disability Insurance
  • 5% goes into her retirement 401K account
  • $150 goes to health insurance/ dental for her family

The percentages have a total of ...

  25 +9.3 +6.2 +1.45 +0.9 +5 = 47.85 . . . percent

So, Christine's take-home pay is ...

  $5250(1 -0.4785) -150 = $2587.87 . . . per month

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Convert 17.42 m to customary units. A.57'-17/8" B. 36-10 1/2" C. 442 1/2" D. 367/8" E. None of these answers is reasonable.
mars1129 [50]

Answer:

Option E - None of these answers is reasonable.

Step-by-step explanation:

To find : Convert 17.42 m to customary units ?

Solution :

The customary units is defined as the measure length and distances in the customary system are inches, feet, yards, and miles.

The options belong to feet and inches.

We have to convert meter into inches, feet.

Meter into feet,

1 \text{ feet} = 0.3048 \text{ meter}

1 \text{ meter} = \frac{1}{0.3048}\text{ feet}

17.42 \text{ meter} = \frac{17.42}{0.3048}\text{ feet}

17.42 \text{ meter} = \frac{174200}{3048}\text{ feet}

17.42 \text{ meter} =57 \frac{464}{3048}\text{ feet}

17.42 \text{ meter} =57 \frac{58}{381}\text{ feet}

Now, Feet into inches

1 \text{ feet} = 12\text{ inches}

\frac{58}{381} \text{ feet} = 12\times \frac{58}{381}\text{ inches}

\frac{58}{381} \text{ feet} =\frac{232}{381}\text{ inches}

i.e.  17.42 \text{ meter} =57\text{ feet }\frac{232}{381}\text{ inches}

or 17.42 \text{ meter} =57'\frac{232}{381}''

None of these answers is reasonable.

Therefore, Option E is correct.

5 0
2 years ago
A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hours. What’s th
Agata [3.3K]
The original speed of the train was 25mph.
7 0
3 years ago
Dennis decided he wanted to go to the carnival. The carnival charges $6.00 for entry and $1.50 for each ride.
myrzilka [38]

We want to create a linear equation to model the given situation.

A) c(r) = $6.00 + $1.50*r

B) 19 rides.

We know that the carnival charges $6.00 for entry plus $1.50 for each ride.

A) With the given information we can see that if you ride for r rides, then the cost equation will be:

c(r) = $6.00 + $1.50*r

Where c(r) is the cost for going to the carnival and doing r rides.

B) If you have $35.00, then we can solve:

c(r) = $35.00 =  $6.00 + $1.50*r

Now we can solve the equation for r.

$35.00 =  $6.00 + $1.50*r

$35.00 -  $6.00 = $1.50*r

$29.00 = $1.50*r

$29.00/$1.50 = r = 19.33

Rounding to the next whole number we get: r = 19

This means that with $35.00, Dennis could go to 19 rides.

If you want to learn more, you can read:

brainly.com/question/13738061

7 0
2 years ago
A bag of marbles has 3 red, 4 blue, and 5 white marbles in it. What is the probability of reaching in and selecting a blue marbl
goblinko [34]

Answer:

P(B)=\frac{1}{3}

Step-by-step explanation:

The number of red marbles in the bag is; n(R)=3.

The number of blue marbles in the bag is; n(B)=4.

The number of white marbles in the bag is; n(W)=5.

The total number of marbles in the bag is: n(S)=3+4+5=12.

The probability of selecting a blue marble is P(B)=\frac{n(B)}{n(S)}

We substitute the given information to obtain:

P(B)=\frac{4}{12}

We simplify to obtain:

P(B)=\frac{1}{3}

4 0
2 years ago
Find the surface area of the prism
vlabodo [156]

Answer:

The answer is 190

Step-by-step explanation:

3x5x2  30

3x10x2  60

5x10x2  100

add them together to get 190

5 0
2 years ago
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