Answer: Answer is $21
Step-by-step explanation:
Using the equation C = P + (P)(T)
where P= $20
T= 5%; 5/100 = 0.05
Substitute the figures in the equation,
$20 + $20 (0.05)
Apply BODMAS and open bracket first
$20 + $1
= $21
The Jacksonian Era was characterized by the idea that every citizen was equally important and that all should participate actively in government. The old friends whom Jackson consulted instead of his regular cabinet were called the "kitchen cabinet."
Answer:
1/5, 1/6 and 1/15
Step-by-step explanation:
Multiples of 15 are 30, 45, 60, 75, 90. Now, when you look at the list of multiples, you can see that 30 is the smallest number that appears in each list. Therefore, the least common denominator of 1/5, 1/6, and 1/15 is 30.
Answer:
847.9
Step-by-step explanation:
Answer:
0.2036
Step-by-step explanation:
u = arcsin(0.391) ≈ 23.016737°
tan(u/2) = tan(11.508368°)
tan(u/2) ≈ 0.2036
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You can also use the trig identity ...
tan(α/2) = sin(α)/(1+cos(α))
and you can find cos(u) as cos(arcsin(0.391)) ≈ 0.920391
or using the trig identity ...
cos(α) = √(1 -sin²(α)) = √(1 -.152881) = √.847119
Then ...
tan(u/2) = 0.391/(1 +√0.847119)
tan(u/2) ≈ 0.2036
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<em>Comment on the solution</em>
These problems are probably intended to have you think about and use the trig half-angle and double-angle formulas. Since you need a calculator anyway for the roots and the division, it makes a certain amount of sense to use it for inverse trig functions. Finding the angle and the appropriate function of it is a lot easier than messing with trig identities, IMO.
