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aniked [119]
3 years ago
15

michelle hong noticed that her gross pay per period increased by 2,800 when her employer changed from a bi weekly pay plan to a

monthly pay plan. what is michelle’s annual salary?
Mathematics
1 answer:
mart [117]3 years ago
7 0

Answer:

<em>Her annual salary is $62,400</em>

Step-by-step explanation:

Michelle Hong noticed that her gross pay per period increased by 2,800 when her employer changed from a bi weekly pay plan to a monthly pay plan.

Bi weekly is a check every 2 weeks, so she would get 26 checks per year.

Monthly would be 12 checks per year.

When she gets paid monthly her pay increased by $2,800 each check.

Let x be one bi-weekly paycheck.

The equation we get is:

12(x+2800) = 26x

Multiply the bracket by 12:

12x +33600 = 26x

Subtract 12x from both sides

33600 = 14x

Divide both sides by 14:

x = 33600/14

<em>x = 2400</em>

Her pay increased by 2800 each period:

2400 + 2800 = 5200 per check.

5200 x 12 months = 62400

<em>Her annual salary is $62,400</em>

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XZ=n, WZ=2x-5, and the perimeter of ΔXWZ is 20. What is the value of n?
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Answer:

d.

Step-by-step explanation:

Since it's an isosceles triangle, WX=WZ= 2n-5

Perimeter = n + (2n-5) + (2n-5)

= 5n - 10

The Perimeter is given to be 20

5n - 10 = 20

5n = 30

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Step-by-step explanation:

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Step-by-step explanation:

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A classic counting problem is to determine the number of different ways that the letters of millennium can be arranged. Find tha
Eddi Din [679]

Answer:

<u>The correct answer is that the number of different ways that the letters of the word "millennium" can be arranged is 226,800</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Number of letters of the word "millennium" = 10

Letters repeated:

m = 2 times

i = 2 times

l = 2 times

n = 2 times

2. The number of different ways that the letters of millennium can be arranged is:

We will use the n! or factorial formula, this way:

10!/2! * 2! * 2! * 2!

(10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)/(2 * 1) * (2 * 1) * (2 * 1) * (2 *1)

3'628,800/2*2*2*2 = 3'628,800/16 = 226,800

<u>The correct answer is that the number of different ways that the letters of the word "millennium" can be arranged is 226,800</u>

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