Question

4) Necolai reported his weekly earning for the first four weeks as $87, $105, and $125.

A) How much does he have to earn in the fifth week to achieve an average of $130 per
week? Show and explain all of your work.

B) After five weeks of his earning, he has to pay 28% in taxes. How much were the
taxes? How much of his total pay does he have left after taxes? Show and explain all
of your work.


ANSWER BOTH QUESTIONS QUESTION A AND QUESTION B.

Answer 1

Question A:
To find how much Necolai has to earn in the fifth week to achieve an average of $130 per week, we have to use the concept of mean.

The average of five weeks' earnings should be $130. Therefore, the sum of his five-week earnings should be:

5 * 130 = 650

Necolai's total earnings for the first four weeks are:

87 + 105 + 125 + x (earning in the fifth week) = 317 + x

317 + x + y = 650

where y represents his earnings in the fifth week. Solving for y, we get:

y = 650 - 317 - x
y = 333 - x

So, Necolai has to earn $333 in the fifth week to achieve an average of $130 per week.

Question B:
After earning $87, $105, $125, and x dollars (from the third week), Necolai’s total earning are $317 + x. After 5 weeks, Necolai has to pay 28% in taxes, which means he gets to keep 72% of his earnings.

The taxes are calculated as:

Taxes = 0.28 * (317 + x)
Taxes = 88.76 + 0.28x

Therefore, the taxes he has to pay after five weeks are $88.76 + 0.28x.

The portion of his total earnings that he keeps after taxes is:

Total earnings - Taxes = (317 + x) - (88.76 + 0.28x)
Total earnings - Taxes = 228.24 + 0.72x

Therefore, after paying taxes, Necolai is left with $228.24 + 0.72x of his total earnings.

Answer 2

Answer: A) $333

B) $468

Step-by-step explanation:

A) First we multiply. 130x5=650 Now we know that we have to get $650 total in 5 weeks in order to get an average of $130 per week.

87+105+125=317

650-317=333

Necolai has to earn $333 the fifth week to achieve an average of $130 per week.

B) 28% of 650 = 182

Now subtract the taxes from his earnings. 650-182=468

Necolai has $468 of his total pay after taxes.