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2 years ago

a driver is below the surface of the water at - 15m. he dives down by 6m, then rises 4m where is he now

Mathematics

1 answer:

nevsk [136]2 years ago

6 0

Given:

A driver is below the surface of the water at - 15m. he dives down by 6m, then rises 4m.

To find:

The current location of the driver.

Solution:

In this problem, negative sign is used for downward direction or the distance below the surface of the water.

Initial location = -15 m

Dives down by 6m, it means - 6m, then rises 4m, it means 4 m.

Now, the current location is

$-15 m-6m+4m$

$=-21m+4m$

$=-17m$

Therefore, the correct location of the driver is at -17 m it means her is 17 m below the surface of the water.

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Jason is considering two different jobs that he has been offered and he likes the atmosphere and

aniked [119]

The amount of money that Jason will receive in one year after all deductions have been taken for each company is $30,780.5 and $32562.

<h3>What is the final amount?</h3>

With the first job, he would be an apartment property manager for AMLI Company.

This job is offering Jason an hourly rate of $19. 00 an hour plus a weekly bonus of $40 for each new tenant he sets a one-year lease-up with.

The company expects Jason to work all 52 weeks of the year and 40 hours per week.

He was told he could expect to set up an average of 5 lease agreements for each week that he works.

The amount after one year will be given by an equation

Let y be the amount, x be the number of hours in a week and z be the number of the week.

y = 19x + 40z

The total number of hours in a year will be

x = 2080

Then

y = 19 × 2080 + 40 × 52

y = $ 41,600

The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be

→ 41,600 × 0.938 × 0.988 × 0.97 × 0.86

→ $ 32,160.5

The amount after the insurance will be

Amount = 32160.5 - 115 × 12

Amount = $ 30780.5

With the second job, he would work as a water treatment facility manager in Gwinnett County. He would be paid an annual salary of $46,000 a year, there are no bonuses and he gets a week off.

The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be

→ 46,000 × 0.938 × 0.988 × 0.97 × 0.86

→ $ 35,562

The amount after the insurance will be

Let the number of the worker be 10. Then

Amount = 35,562 - 10 × 12 × 25

Amount = 35562 - 3000

Amount = $32562

More about the final amount link is given below.

brainly.com/question/1980454

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1 year ago