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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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The circumference of a circle is 9\piπ ft. find its radius, in feet.
Sliva [168]

Answer:

r = 4.5 ft

Step-by-step explanation:

Circumference of circle = πd

πd = 9π ft

d = 9π ÷ π

d = 9 ft

Radius = d ÷ 2

            = 9 ÷ 2

            = 4.5 ft

5 0
2 years ago
The movie ended at 7:15 p.m. and lasted 2 hours 40 minutes. What time did the movie begin?
nekit [7.7K]

Answer:

The movie started in 4:35 pm

Step-by-step explanation:

the easy way to do this

Step one: subtract 2 hours from 7:15 pm which is 5:15 pm

step two: to subtract 30 min from 5:15 which is 4:45 pm

step three: to subtract 10 min from 4:45 pm which is 4:35 pm

<h3>∴ The movie started in 4:35 pm</h3>
8 0
3 years ago
Read 2 more answers
How many liters of an 18% alcohol solution must be added to a 10% alcohol solution to get 20L of a 15% alcohol solution
Lorico [155]

Answer:

Let x= liters of 18% solution to be added to a 10% solution.

20-x= liters of 10% solution to be mixed with 18% solution.

..

18%(x)+10%(20-x)=15%(20)

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x=1/.08=12.5

ans:

12.5 liters of an 18% alcohol solution must be added to a 10% alcohol solution to get 20 L of a 15% acohol solution.

I hope it's helpful!

7 0
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lutik1710 [3]
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Which inequality is true? Use the number line to help.
goblinko [34]

The only true inequality is <u>-3 1/2 > -4.5</u>

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