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Minchanka [31]
3 years ago
6

1. Ruth Lockwood earns $2,917 a month as a supervisor for Acme

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
6 0

Answer:

a. 25%

b. $1560

c. $130

Step-by-step explanation:

a.

If 75% is paid by company, the rest is paid by Ruth.

Out of 100%, 75% is paid by company, so Ruth pays 100 - 75 = 25%

b.

Per year, the total amount paid is 6240, but Ruth pas 25% of this. So,

25% = 0.25

To get the answer, we multiply 0.25 with 6240.

0.25 * 6240 = 1560

So, $1560 is paid by Ruth annually.

c.

Since 1560 is paid annually (in 12 months), each month Ruth has to pay:

1560/12 = $130

Hence, $130 is deducted each month from her paycheck

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Conider the sequence following a minus 8 pattern: 9, 1, −7, −15, ….a. Write an explicit formula for the sequence.
qwelly [4]

Answer:

minus 9, and 1

Step-by-step explanation:

4 0
3 years ago
Given: m<FSH = (5x-8)°, m<NSF=(9x-12)° and m<NSH=(10x+20)°.
Ivan

Answer:

The answer to your question is ∠FSH = 42°; ∠NSF = 78°; ∠NSH = 120°

Step-by-step explanation:

Data

∠ FSH = 5x - 8

∠NSF = 9x - 12

∠NSH = 10x + 20

Process

1.- Write a equation to solve this problem

          ∠NSH = ∠NSF + ∠FSH

2.- Substitute values

         10x + 20 = 9x - 12 + 5x - 8

3.- Solve for x

         10 x - 9x - 5x = - 12 - 8 - 20

         10x - 14x = - 12 - 28

                 - 4x = - 40

                     x = -40 / -4

                    x = 10

4.- Find the measure of all three angles

    ∠FSH = 5(10) - 8

               = 50 - 8

               = 42°

    ∠NSF = 9x - 12

               = 9(10) - 12

               = 90 - 12

               = 78°

∠NSH = 10(10) + 20

          = 100 + 20

          = 120°

5.- Check the answers

              120°   = 78°  + 42°

              120° = 120°

The answers are correct

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Step-by-step explanation:

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