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saveliy_v [14]
2 years ago
11

Desiree works 28 hours per week. She has a monthly income of $120 from investments. Desiree also plays in a band one night a wee

k making $200. She has a total annual income of $49,696. Desiree wants to ask her boss for a raise so that next year she can have a total income of $51,880. Assuming the other incomes remain the same, how much of an hourly raise will Desiree need? a. $1.25 b. $1.50 c. $1.75 d. $2.00
Mathematics
2 answers:
Oksi-84 [34.3K]2 years ago
7 0
So hmmm let's see
she has a monthly income of 120 from investments, now, there are 12 months in a year, so her yearly income from investments are 120*12 or
$1440

she plays on a band, and makes 200 a week, now, there are 52 weeks in a year, so her yearly income from band playing is 200 * 52, or
$10400

her total annual income is 49696, now, if we subtract the band and investment income, we'd be left over with only what comes from her job payrate
so 49696 - 1440 - 10400 is 37856

so, she makes from her job, $37856 annually

now, she only works 28 hours weekly, how much is that yearly?   well, 52 weeks in a year, she works 28*52 hours a year, let us divide 37856 by that

37856 ÷ ( 28 * 52)   well, it ends up as 26

so, her hourly payrate is $26 per hour

now, she wants to ask for a raise, to make 51880 annually

well, if we check the difference of 51880 and 49696, that'd leave us with the difference in pay, or the raise annual amount

51880 - 49696 = 2184

ok, so she wants $2184 annually more from her work
how much is that in the hours she works annually?  well 2184 ÷ ( 28 * 52)
aalyn [17]2 years ago
6 0
The answer is B. $1.50
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Total hours ÷ hour per day

14 ÷ 3.5 = 4.

The answer is 4.

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Which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of thr
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Answer:

3 - (n - 1) = 1/2(3n - 4)

Step-by-step explanation:

We want to write three minus the difference of a number and one equals one-half of the difference of three times the same number and four as an equation.

Let the number be n.

The first part is: three minus the difference of a number and one:

3 - (n - 1)

The second part is: one-half of the difference of three times the same number and four:

1/2(3n - 4)

Now, let us equate the first and second parts:

3 - (n - 1) = 1/2(3n - 4)

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Including Jose, there are eight people in his family.
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Answer:

840

Step-by-step explanation:

Since the order matters, we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

The first seat is Jose's.

The remaining four are organized among the other 7 members. So

P_{(7,4)} = \frac{7!}{(7-4)!} = 840

So the correct answer is:

840

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Answer:

$2.64

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                                - 2.84

                                = 2.64

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Given: Circle X with a Radius r and circle Y with radius s Prove: Circle x is similar to circle y
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Two figures are similar if one is the scaled version of the other.

This is always the case for circles, because their geometry is fixed, and you can't modify it in anyway, otherwise it wouldn't be a circle anymore.

To be more precise, you only need two steps to prove that every two circles are similar:

  1. Translate one of the two circles so that they have the same center
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Now the two circles have the same center and the same radius, and thus they are the same. We just proved that any two circles can be reduced to be the same circle using only translations and scaling, which generate similar shapes.

Recapping, we have:

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So, we passed from X to X' to X'', and they are all similar to each other, and in the end we have X''=Y, which ends the proof.

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