page 17, question 5\n5. linda sells cosmetics.\na) why does january have no earnings at 15%?\nb) which other…
page 17, question 5\n5. linda sells cosmetics.\na) why does january have no earnings at 15%?\nb) which other month will have no earnings at 15%?\nc) complete the rows for the remaining months.\nd) total the earnings.\n\nmonth salary ($) sales ($) 12% commission on sales less than or equal to $5000 ($) sales over $5000 ($) 15% commission on sales greater than $5000 ($) total earnings ($)\njan. 1000 4825 579.00 0.00 0.00 1579.00\nfeb. 1000 2765 331.80 0.00 0.00 \nmar. 1000 5592 600.00 592.00 88.80 1688.80\napr. 1000 5339 600.00 339.00 50.85 1650.85\nmay 1000 5488 600.00 488.00 73.20 \njune 1000 5793 600.00 793.00 118.95 \njuly 1000 5504 600.00 504.00 75.60 1675.60\naug. 1000 5206 600.00 206.00 30.90 1630.90\nsept. 1000 5712 600.00 712.00 106.80 \noct. 1000 5683 600.00 683.00 103.45 1703.45\nnov. 1000 5290 600.00 290.00 \ndec. 1000 6183 600.00 1183.00 \ntotal
Answer
Explanation:
Step1: Calculate 12% commission for months with sales ≤ 5000
For months like January with sales of $4825$, the 12% commission is $0.12\times4825 = 579$. For February with sales of $2765$, the 12% commission is $0.12\times2765=331.8$.
Step2: Calculate 12% and 15% commissions for months with sales > 5000
For example, in March with sales of $5592$. The 12% commission on the first $5000$ is $0.12\times5000 = 600$. The amount of sales over $5000$ is $5592 - 5000=592$, and the 15% commission on this part is $0.15\times592 = 88.8$.
Step3: Calculate total earnings for each month
Total earnings = Salary+12% commission (if applicable)+15% commission (if applicable). For January, it is $1000 + 579+0=1579$.
Step4: Complete the rows for remaining months
For May with sales of $5488$, 12% commission on $5000$ is $600$, amount over $5000$ is $5488 - 5000 = 488$, 15% commission on it is $0.15\times488=73.2$, total earnings is $1000+600 + 73.2=1673.2$. For November with sales of $5290$, 12% commission on $5000$ is $600$, amount over $5000$ is $5290 - 5000=290$, 15% commission on it is $0.15\times290 = 43.5$, total earnings is $1000+600+43.5 = 1643.5$. For December with sales of $6183$, 12% commission on $5000$ is $600$, amount over $5000$ is $6183 - 5000 = 1183$, 15% commission on it is $0.15\times1183=177.45$, total earnings is $1000+600+177.45=1777.45$.
Step5: Total the earnings
Sum up all the total - earnings values: [ \begin{align*} &1579+1331.8+1688.8+1650.85+1673.2+1618.95+1675.6+1630.9+1606.8+1703.45+1643.5+1777.45\ =&(1579+1331.8)+(1688.8+1650.85)+(1673.2+1618.95)+(1675.6+1630.9)+(1606.8+1703.45)+(1643.5+1777.45)\ =&2910.8+3339.65+3292.15+3306.5+3310.25+3420.95\ =&(2910.8+3339.65)+(3292.15+3306.5)+(3310.25+3420.95)\ =&6250.45+6598.65+6731.2\ =&(6250.45+6598.65)+6731.2\ =&12849.1+6731.2\ =&19580.3 \end{align*} ]
Answer:
| Month | Salary ($) | Sales ($) | 12% Commission on Sales Less Than or Equal to $5000 ($) | Sales Over $5000 ($) | 15% Commission on Sales Greater Than $5000 ($) | Total Earnings ($) |
|---|---|---|---|---|---|---|
| Jan. | 1000 | 4825 | 579.00 | 0.00 | 0.00 | 1579.00 |
| Feb. | 1000 | 2765 | 331.80 | 0.00 | 0.00 | 1331.80 |
| Mar. | 1000 | 5592 | 600.00 | 592.00 | 88.80 | 1688.80 |
| Apr. | 1000 | 5339 | 600.00 | 339.00 | 50.85 | 1650.85 |
| May | 1000 | 5488 | 600.00 | 488.00 | 73.20 | 1673.20 |
| June | 1000 | 5793 | 600.00 | 793.00 | 118.95 | 1718.95 |
| July | 1000 | 5504 | 600.00 | 504.00 | 75.60 | 1675.60 |
| Aug. | 1000 | 5206 | 600.00 | 206.00 | 30.90 | 1630.90 |
| Sept. | 1000 | 5712 | 600.00 | 712.00 | 106.80 | 1706.80 |
| Oct. | 1000 | 5683 | 600.00 | 683.00 | 102.45 | 1702.45 |
| Nov. | 1000 | 5290 | 600.00 | 290.00 | 43.50 | 1643.50 |
| Dec. | 1000 | 6183 | 600.00 | 1183.00 | 177.45 | 1777.45 |
| Total | - | - | - | - | - | 19580.30 |