Solved on Nov 16, 2023

Find the monthly salary of an executive who earns a yearly total of $86,200, including a$ 7,300 Christmas bonus.
Solution: Let the monthly salary be $x$ . Then, the yearly salary is $x * 12 + 7300$ . The problem states that the yearly salary is $86,200$ , so we have the equation: $x * 12 + 7300 = 86,200$ Solving for $x$ , we get $x = 6,575$ . Therefore, the monthly salary is $\$6,575$ .

STEP 1

Assumptions1. The executive earns a fixed monthly salary. . She also receives a Christmas bonus of $7300.<br />3. Her total annual income is$ 86200.
4. The total annual income includes both the monthly salary and the Christmas bonus.

STEP 2

First, we need to find the total amount of monthly salary for the whole year. We can do this by subtracting the Christmas bonus from the total annual income.
$Total\, monthly\, salary\, for\, a\, year = Total\, annual\, income - Christmas\, bonus$

STEP 3

Now, plug in the given values for the total annual income and Christmas bonus to calculate the total monthly salary for a year.
$Total\, monthly\, salary\, for\, a\, year = \$86200 - \$7300$

STEP 4

Calculate the total monthly salary for a year.
$Total\, monthly\, salary\, for\, a\, year = \$86200 - \$7300 = \$78900$

STEP 5

Now that we have the total monthly salary for a year, we can divide this by the number of months (12) to find the monthly salary.
$Monthly\, salary = Total\, monthly\, salary\, for\, a\, year / Number\, of\, months$

STEP 6

Plug in the values for the total monthly salary for a year and the number of months to calculate the monthly salary.
$Monthly\, salary = \$78900 /12$

STEP 7

Calculate the monthly salary amount.
$Monthly\, salary = \$78900 /12 = \$6575$ The executive's monthly salary is $6575.

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STEP 1

Assumptions1. The executive earns a fixed monthly salary. . She also receives a Christmas bonus of $7300.<br />3. Her total annual income is$ 86200.
4. The total annual income includes both the monthly salary and the Christmas bonus.

STEP 2

First, we need to find the total amount of monthly salary for the whole year. We can do this by subtracting the Christmas bonus from the total annual income.
$Total\, monthly\, salary\, for\, a\, year = Total\, annual\, income - Christmas\, bonus$

STEP 3

Now, plug in the given values for the total annual income and Christmas bonus to calculate the total monthly salary for a year.
$Total\, monthly\, salary\, for\, a\, year = \$86200 - \$7300$

STEP 4

Calculate the total monthly salary for a year.
$Total\, monthly\, salary\, for\, a\, year = \$86200 - \$7300 = \$78900$

STEP 5

Now that we have the total monthly salary for a year, we can divide this by the number of months (12) to find the monthly salary.
$Monthly\, salary = Total\, monthly\, salary\, for\, a\, year / Number\, of\, months$

STEP 6

Plug in the values for the total monthly salary for a year and the number of months to calculate the monthly salary.
$Monthly\, salary = \$78900 /12$

STEP 7

Calculate the monthly salary amount.
$Monthly\, salary = \$78900 /12 = \$6575$ The executive's monthly salary is $6575.

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STEP 1

Assumptions1. The executive earns a fixed monthly salary. . She also receives a Christmas bonus of 7300.<br/>3.Hertotalannualincomeis7300.<br />3. Her total annual income is 7300.<br/>3.Hertotalannualincomeis86200.4. The total annual income includes both the monthly salary and the Christmas bonus.

STEP 2

STEP 3

Now, plug in the given values for the total annual income and Christmas bonus to calculate the total monthly salary for a year.Total monthly salary for a year=$86200−$7300Total\, monthly\, salary\, for\, a\, year = \$86200 - \$7300Totalmonthlysalaryforayear=$86200−$7300

STEP 4

Calculate the total monthly salary for a year.Total monthly salary for a year=$86200−$7300=$78900Total\, monthly\, salary\, for\, a\, year = \$86200 - \$7300 = \$78900Totalmonthlysalaryforayear=$86200−$7300=$78900

STEP 5

STEP 6

Plug in the values for the total monthly salary for a year and the number of months to calculate the monthly salary.Monthly salary=$78900/12Monthly\, salary = \$78900 /12Monthlysalary=$78900/12

STEP 7

Calculate the monthly salary amount.Monthly salary=$78900/12=$6575Monthly\, salary = \$78900 /12 = \$6575Monthlysalary=$78900/12=$6575The executive's monthly salary is $6575.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Assumptions1. The executive earns a fixed monthly salary. . She also receives a Christmas bonus of $7300.<br />3. Her total annual income is$ 86200.
4. The total annual income includes both the monthly salary and the Christmas bonus.

Now, plug in the given values for the total annual income and Christmas bonus to calculate the total monthly salary for a year.
$Total\, monthly\, salary\, for\, a\, year = \$86200 - \$7300$

Calculate the total monthly salary for a year.
$Total\, monthly\, salary\, for\, a\, year = \$86200 - \$7300 = \$78900$

Plug in the values for the total monthly salary for a year and the number of months to calculate the monthly salary.
$Monthly\, salary = \$78900 /12$

Calculate the monthly salary amount.
$Monthly\, salary = \$78900 /12 = \$6575$ The executive's monthly salary is $6575.