Here's your answer, I hope you understand this. 30.9cm
Answer:
The twins would be 13 years old.
Step-by-step explanation:
21+21+21+13+13 = 89
Firstly, solve the effective annual interest (ieff) with the equation,
ieff = (1 + i/m)^m -1
where i is the interest rate and m is the number of times the interest is compounded in a year. In this problem, m is 12
Substituting the values,
ieff = (1 + 0.034/12)^12 - 1 =0.03453
To solve for the future (F) amount of the present investment (P),
F = P x (1 + ieff)^n
where n is number of years.
F = ($742) x (1 + 0.03453)^15
Thus, the answer is $1234.76.
Answer:
2) 162°, 72°, 108°
3) 144°, 54°, 126°
Step-by-step explanation:
1) Multiply the equation by 2sin(θ) to get an equation that looks like ...
sin(θ) = <some numerical expression>
Use your knowledge of the sines of special angles to find two angles that have this sine value. (The attached table along with the relations discussed below will get you there.)
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2, 3) You need to review the meaning of "supplement".
It is true that ...
sin(θ) = sin(θ+360°),
but it is also true that ...
sin(θ) = sin(180°-θ) . . . . the supplement of the angle
This latter relation is the one applicable to this question.
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Similarly, it is true that ...
cos(θ) = -cos(θ+180°),
but it is also true that ...
cos(θ) = -cos(180°-θ) . . . . the supplement of the angle
As above, it is this latter relation that applies to problems 2 and 3.