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4 votes
Question 16

SALARY Sondra just started a job with an annual salary of $45,000. Each year, her salary will increase by 7%. If Sondra continues to work at
this job, what will be her total earnings in the first 4 years, rounded to the nearest dollar?
OA) $48,359
OB) $58,986
OC) $199,797
OD) $213,783

User Eyossi
by
8.1k points

2 Answers

3 votes

The solution is Option C.

The total amount of earnings of Sondra after 5 years is $ 169,113

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the annual salary of Sandra be A = $ 30,000

Now , the percentage increase in salary = 6 %

So , the equation will be

First year :

The increase in first year = annual salary of Sandra + percentage increase in salary x annual salary of Sandra

The increase in first year = 30000 + ( 6/100 ) x 30000

= 30000 + 1800

= $ 31,800

Second year :

The increase in second year = increase in first year + percentage increase in salary x increase in first year

The increase in second year = 31800 + ( 6/100 ) x 31800

= 31800 + 1908

= $ 33,708

Third year :

The increase in third year = increase in second year + percentage increase in salary x increase in second year

The increase in third year = 33708 + ( 6/100 ) x 33708

= 33708 + 2022.48

= $ 35,730.48

Fourth year :

The increase in fourth year = increase in third year + percentage increase in salary x increase in third year

The increase in fourth year = 35730.48 + ( 6/100 ) x 35730.48

= 35730.48 + 2143.8288

= $ 37,874.3088

Now , the equation is

The total earnings of Sondra is = First year salary + second year salary + third year salary + fourth year salary

The total earnings of Sondra is = 30000 + 31,800 + 33,708 + 35,730.48 + 37,874.3088

The total amount earnings of Sondra is = $ 169,112.7888

Therefore , the total amount earnings = $ 169,113

Hence , The total amount of earnings of Sondra after 5 years is $ 169,113

User MalloyDelacroix
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7.9k points
4 votes

Answer:

C) $199,797

Explanation:

Adding 7% of a number to the number is the same as multiplying the number by 1.07

First year: $45,000

Second year: $45,000 × 1.07 = $48,150

Third year: $48,150 × 1.07 = $51,520.50

Fourth year: $51,520.50 × 1.07 = $55,126.94

Total = $199,797.43

Answer: C) $199,797

User Francesco Orsi
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7.3k points