14. A corporation with 5,000,000 shares of publicly listed stock reported total earnings of $7.20 per share for the first 9 months of operation. During the final quarter the number of publicly listed shares was increased to 10,000,000 shares, and fourth quarter earnings were reported as $1.25 per share. What are the average annual earnings per share based on the number of shares at the end of the year?
7.2*5 = 36
1.25*10 = 12.5
36+12.5 = 48.5
48.5/10 = 4.85C
20. A merchant purchased a jacket for $60 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchantâ€™s gross profit on this sale?
pp = 60
sp = 60 + sp/4 => 4sp = 240 + sp => sp = 80
80(.2) = 16
80 - 16 = 64
64 - 60 = 4C
2. One night 18 percent of the female officers on a police force were on duty. If 180 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
180/2 = 90 women
.18(x) = 90
x = 500D
19. A merchant paid $300 for a shipment of x identical calculators. The merchant used 2 of the calculators as demonstrators and sold each of the others for $5 more than the average (arithmetic mean) cost of the x calculators. If the total revenue from the sale of the calculators was $120 more than the cost of the shipment, how many calculators were in the shipment?
The merchant used 2 of the calcs. so x - 2 is the total # of calcs left
x-2(5 + 300/x) [and sold each of the others for $5 more than the avg cost of the x calcs, 300/x is the avg. cost]
x-2(5+300/x) = 300 + 120 [the total revenue from the sale of the calculators was $120 more than the cost of the shipment]
(x-2)(5+300/x) = 300 + 120 = (x-30)(x+4) = 0 => x = 30
I'm not sure what to make of # 9. Am I missing something?