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Cloud [144]
3 years ago
5

You have been offered a job and they would like to know what you would like your annual gross income to be. You know that your l

ife style costs about $33,000. Using the estimation of 70% for take home pay, how much in annual gross income would you need to make to continue to afford your current lifestyle?
Mathematics
1 answer:
Hoochie [10]3 years ago
3 0

Divide your lifestyle amount by the percentage:

33,000 / 0.70 = $47,142.86 ( Round the answer as needed.)

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(-5z)^3 using only positove exponents
Elena L [17]

Answer:

Shown below

Step-by-step explanation:

First allocate the power of three to every number

-5^{3}  * z^{3} = -125 * z^{3}

not sure what you mean by positive exponents, the exponents already are positive. Maybe you mean positive exponents and integers?

8 0
2 years ago
How many solutions in the equation below 145=10x-8x
iren2701 [21]

Answer:

One

Step-by-step explanation:

145=2x

72.5=x that's one solution.

4 0
3 years ago
Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact
umka2103 [35]

Solution:

The permutation formula is expressed as

\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\  \end{gathered}

The combination formula is expressed as

\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\  \\  \end{gathered}

where

\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}

Given that 6 objects are taken at a time from 8, this implies that

\begin{gathered} n=8 \\ r=6 \end{gathered}

Thus,

Number of permuations:

\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}

Number of combinations:

\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}

Hence, there are 28 combinations and 20160 permutations.

7 0
1 year ago
8x=12+12Find the value of x​.​
djverab [1.8K]

Answer:

\sf\longmapsto \: x = 3

Step-by-step explanation:

\sf\longmapsto \: 8x = 24

\sf\longmapsto \: x =  \frac{24}{8}

\sf\longmapsto \: x = 3

5 0
2 years ago
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Which of these is part of the circumference of a circle? Center, arc, area, sector
IrinaK [193]

Answer:

Arc

Step-by-step explanation:

7 0
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