Suppose you invest $2500 at an annual interest rate of 3% compounded continuously. How much will you have in the account after 7
2 answers:
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Answer:
50.8°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between side lengths and trig functions for a right triangle. Here, you are given the short side and the hypotenuse, and asked for the largest acute angle.
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The short side is adjacent to the largest acute angle, so the relevant relation is ...
Cos = Adjacent/Hypotenuse
cos(β) = (2√6)/(2√15) = √0.4
The angle measure is found using the inverse cosine function:
β = arccos(√0.4) ≈ 50.8°
The larger acute angle is about 50.8°.
Answer:
B
Step-by-step explanation:
Use the Law of Cosines to find the measure of segment c:
c ≈ 23.01593821 km ≈ 23 km
Since c = 23 km, our only options are choices B and D. Now, let's find the measure of angle A to confirm. To do this we will use the Law of Sines:
A ≈ 22.02726885° ≈ 22°
Since the measure of c = 23 km and the measure of angle A = 22°, the answer must be choice B.