Answer: Philip can earn back his initial investment in 12.4 years
Step-by-step explanation:
Amount Invested by Philips in period annuity = 800,000
Annual Percentage Rate (APR) = 5.2%
APR compounded monthly for a period of 20 years.
Amount to be received per annuity period = 800,000 * (((1+(0.052/12))^240)*(0.052/12))/(((1+0.052/12))^240)-1)
= 5368.43
Time taken ( in months ) by Philip to earn back his initial investment = 800,000/5368.43 = 149.02 months
Time taken ( in years ) by Philip to earn back his initial investment = 149.02/12 = 12.4 years
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Answer:
B and D
Step-by-step explanation:
A simplifies to a linear equation
C is a cubic
The other 2 are quadratic and can be solve using the formula
Answer:
x = 5√3; y = 5
Step-by-step explanation:
Finding y: The sine function links the 30° angle, the 10 unit hypotenuse and the side opposite the angle, y:
sin 30° = 1/2 = y/10
Solve the equation of ratios
1 y
-- = ----- using cross-multiplication first: 2y = 10 → y = 5
2 10
We can now find x either by using a similar approach and the cosine function or by using the Pythagorean Theorem:
x² + y² = 10² = 100 → x² = 100 - y² = 100 - 5² = 75
If x² = 75, then x = ±√75 = ± (√25)·(√3) → ±5√3
Since lengths are always positive, take x = 5√3 as the answer.
8/-3 ÷ -4/9
8/-3 * 9/-4
72/12 = 6
