Harold paid $ 16,632 and $ 38,808 for each of the boats.
Since Harold, a marina manager, purchased two boats, and he then sold the boats, the first at a profit of 40% and the second at a profit of 60%, and the total profit on the sale of the two boats was 54 % and $ 88 704 was the total selling price of the two boat, to determine what did Harold originally pay for each of the two boats the following calculation must be performed:
- 55 x 0.6 + 45 x 0.4 = 51
- 65 x 0.6 + 35 x 0.4 = 53
- 70 x 0.6 + 35 x 0.4 = 54
- 88,704 x 0.7 = 62,092.80
- 160 = 62,092.80
- 100 = X
- 100 x 62,092.80 / 160 = X
- 38.808 = X
- 88,704 x 0.3 = 26,611.20
- 140 = 26,611.20
- 100 = X
- 100 x 26,611.20 / 160 = X
- 16,632 = X
Therefore, Harold paid $ 16,632 and $ 38,808 for each of the boats.
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We solve for the diameters of radius of the given circles by using the equation,
C = πD
or C = 2πr
where D and r are diameter and radius, respectively.
Solving,
C = 34.54 units
D = C/π = 34.54 units / 3.14 = 11 units
r = C / 2π = 34.54 units/2(3.14) = 5.5 units
C = 59.66 units
D = C/π = 59.66 units/3.14 = 19 units
r = D2 = 9.5 units
C = 23.236 units
D = 23.236 units/3.14 = 7.4 units
r = D/2 = 3.7 units
C = 23.376 units
D = 23.376 units / 3.14 = 7.4 units
r = D/2 = 3.7 units
C = 13.188 units
D = 13.188 units/3.14 = 4.2 units
r = D/2 = 2.1 units
