Hum, this problem was difficult. You use the next expression to solve this problem. \[\cos (A - B) = \cos A \cos B + \sin A \sin B \] \[\cos (A + B) = \cos A \cos B - \sin A \sin B\] \[\cos (A - B ) - \cos (A +B ) =2 \sin A \sin B\] So \[\sin A \sin B = 0.5 \left( \cos(A - B) - \cos(A + B) \right)\] A = 1.8 x, B = 0.5 x \[\sin (1.8x) \sin (0.5x) = 0.5\left( \cos(1.8-0.5)x - \cos(1.8+0.5)x \right)\]\[= 0.5 \left( \cos(1.3x) - \cos (2.3x) \right)\] It's finish !!
The answer is 65.35
80 | 100
52 | 65.35
80/52 = 1.53
100/1.53 = 65.35
Answer:
$6407.73
Step-by-step explanation:
Use the compound amount formula: A = P(1 + r/n)^(n*t), where
P is the original amount (the principal), r is the interest rate as a decimal fraction, n is the number of times the interest is compounded per year, and t is the number of years.
In this case, P = $5000, r = 0.0625, n = 4 and t = 4. Thus,
A = $5000(1 + 0.0625/4)^(4*4), or
A = $5000(1.015625)^16 = $5000(1.2815) = $6407.73 (to the nearest cent)
If the question is how many shelves are needed, then the answer is 18 shelves.
