If y = cos(kt), then its first two derivatives are
y' = -k sin(kt)
y'' = -k² cos(kt)
Substituting y and y'' into 49y'' = -16y gives
-49k² cos(kt) = -15 cos(kt)
⇒ 49k² = 15
⇒ k² = 15/49
⇒ k = ±√15/7
Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.
I think your right,It would be 81.6.
Hope this helps. :D
Answer:
Interest= $ 18.73
Step-by-step explanation:
Given : $600 at 9.5% for 120 days
To find : Find the interest due
Solution :
Simple interest formula 
Principle(P)=$600 , rate(r)=9.5%=0.095 , time (t)= 120 days
In years, 1 year = 365 days
1 day =
year
120 days =
year
Put values in the formula


Therefore, Interest= $ 18.73
The answer for this question is b because the angle of elevation of the rope as 35°