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romanna [79]
3 years ago
13

Mustafa contributes 11% of his $67,200 annual salary to his 401k plan. What is his pretax income

Mathematics
1 answer:
skad [1K]3 years ago
4 0

Answer:

Mustafa's pretax income is $59,808.

Step-by-step explanation:

Given in the question Mustafa's annual salary = $67,200

and Mustafa contribute 11% of his salary to his 401 k plan.

Since we know that 401 k plan is a retirement plan in which an employee gets the exemption from his salary on a pretax basis.

Therefore exemption will be = 11% of $67,200

                                               = 67,200×0.11

                                               = $7,392

Now pretax income or taxable income = 67,200-7,392 = $59,808

Therefore pretax income of Mustafa is $59,808.

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a student Miss 10 problems on an English test and received a grade of 44%. If all the problems were of equal value, how many pro
eimsori [14]

Answer:

Rounded to the nearest integer, the test had 18 problems in all.

Step-by-step explanation:

Given that a student missed 10 problems on an English test and received a grade of 44%, if all the problems were of equal value, to determine how many problems were on the test the following calculation must be performed:

100 - 44 = 56

56 = 10

100 = X

100 x 10/56 = X

1,000 / 56 = X

17.85 = X

Thus, rounded to the nearest integer, the test had 18 problems in all.

5 0
3 years ago
Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 60
Umnica [9.8K]

Sample mean : \overline{x}=10.6x=10.6

Standard deviation : s=1.7s=1.7

Significance level : \alpha:1-0.95=0.05α:1−0.95=0.05

Critical value : z_{\alpha/2}=1.96

Hence the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= (10.1989,\ 11.0011)(10.1989, 11.0011)

4 0
2 years ago
A circle is centered at the point (-3,2) and passes through the point (1,5). What is the radius of the circle?
Akimi4 [234]

Answer:

5

Step-by-step explanation:

The radius is a distance on a circle from the center to a point on the circle.

We have both of these points describe here in this definition.  Using the distance formula will give us the radius.

\sqrt{(x \text{ difference })^2+(y \text{ difference})^2

The difference between 1 and -3 is 1-(-3)=4.

The difference between 5 and 2 is 5-2=3.

\sqrt{4^2+3^2}

\sqrt{16+9}

\sqrt{25}

5

8 0
3 years ago
I NEED HELP!! please show all work
PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

4^{5x} = 3^{x-2}

\implies \log 4^{5x} = \log 3^{x-2}

Drop the exponents:

\implies 5x \log 4 = (x-2) \log 3

Expand the right side:

\implies 5x \log 4 = x \log 3 - 2 \log 3

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

\implies 5x \log 4 - x \log 3 = - 2 \log 3

\implies x (5 \log 4 - \log 3) = - 2 \log 3

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}

You can stop there, or continue simplifying the solution by using properties of logarithms:

\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }

\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }

\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}

You can condense the solution further using the change-of-base identity,

\implies \boxed{x = -\log_{\frac{1024}3}9}

5 0
2 years ago
Write -6/11 as a decimal step by step please
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Answer:

-0.545454545454 repeating. there shouldnt be any steps its simple calculation.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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