page 17, question 5\n5. linda sells cosmetics.\na) why does january have no earnings at 15%?\nb) which other…

Explanation:

Step1: Understand commission - earning rules

The 15% commission is only on sales greater than $5000. If sales are $5000 or less, no 15% - commission is earned.

Step2: Answer part a

In January, sales are $4825 which is less than $5000. So, no 15% - commission is earned.

Step3: Answer part b

In February, sales are $2765 which is less than $5000. So, February will also have no earnings at 15%.

Step4: Complete part c

For March:

• 12% commission on first $5000: $5000\times0.12 = 600$. Sales over $5000$ is $5592 - 5000=592$, and 15% commission on this is $592\times0.15 = 88.8$. Total earnings: $1000 + 600+88.8 = 1688.8$. For April:
• 12% commission on first $5000: $5000\times0.12 = 600$. Sales over $5000$ is $5339 - 5000 = 339$, and 15% commission on this is $339\times0.15=50.85$. Total earnings: $1000 + 600 + 50.85=1650.85$. For May:
• 12% commission on first $5000: $5000\times0.12 = 600$. Sales over $5000$ is $5488 - 5000 = 488$, and 15% commission on this is $488\times0.15 = 73.2$. Total earnings: $1000+600 + 73.2=1673.2$. For June:
• 12% commission on first $5000: $5000\times0.12 = 600$. Sales over $5000$ is $5793 - 5000 = 793$, and 15% commission on this is $793\times0.15 = 118.95$. Total earnings: $1000+600 + 118.95=1718.95$. For July:
• 12% commission on first $5000: $5000\times0.12 = 600$. Sales over $5000$ is $5504 - 5000 = 504$, and 15% commission on this is $504\times0.15 = 75.6$. Total earnings: $1000+600 + 75.6=1675.6$. For August:
• 12% commission on first $5000: $5000\times0.12 = 600$. Sales over $5000$ is $5206 - 5000 = 206$, and 15% commission on this is $206\times0.15 = 30.9$. Total earnings: $1000+600 + 30.9=1630.9$. For September:
• 12% commission on first $5000: $5000\times0.12 = 600$. Sales over $5000$ is $5712 - 5000 = 712$, and 15% commission on this is $712\times0.15 = 106.8$. Total earnings: $1000+600 + 106.8=1706.8$. For October:
• 12% commission on first $5000: $5000\times0.12 = 600$. Sales over $5000$ is $5683 - 5000 = 683$, and 15% commission on this is $683\times0.15 = 102.45$. Total earnings: $1000+600 + 102.45=1702.45$. For November:
• 12% commission on first $5000: $5000\times0.12 = 600$. Sales over $5000$ is $5290 - 5000 = 290$, and 15% commission on this is $290\times0.15 = 43.5$. Total earnings: $1000+600 + 43.5=1643.5$. For December:
• 12% commission on first $5000: $5000\times0.12 = 600$. Sales over $5000$ is $6183 - 5000 = 1183$, and 15% commission on this is $1183\times0.15 = 177.45$. Total earnings: $1000+600 + 177.45=1777.45$.

Step5: Answer part d

Sum up all the total - earnings: $1579+1688.8+1650.85+1673.2+1718.95+1675.6+1630.9+1706.8+1702.45+1643.5+1777.45$ $=(1579)+(1688.8)+(1650.85)+(1673.2)+(1718.95)+(1675.6)+(1630.9)+(1706.8)+(1702.45)+(1643.5)+(1777.45)$ $=18747.5$

Answer:

a) Because sales in January ($4825$) are less than $5000$. b) February. c)

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
d) $18747.5$