Answer:
C. 16 months faster
Step-by-step explanation:
You can solve this using a Financial calculator( TI BA II plus in this case)
First, find number of months if recurring monthly payment is $38.50;
Amount borrowed ; PV = -950
Monthly rate ; I/Y = 7.2%/12 = 0.6%
Monthly payment; PMT = 38.50
Future value ; FV = 0
Total duration; press CPT, N = 26.785 OR 27 months
Next, find number of months if recurring monthly payment is $93;
Amount borrowed ; PV = -950
Monthly rate ; I/Y = 7.2%/12 = 0.6%
Monthly payment; PMT = 93
Future value ; FV = 0
Total duration; press CPT, N = 10.573 OR 11 months
Difference = 27 -11 = 16
Therefore, she would be able to pay off the loan 16 months faster.
Use the trig identity
2*sin(A)*cos(A) = sin(2*A)
to get
sin(A)*cos(A) = (1/2)*sin(2*A)
So to find the max of sin(A)*cos(A), we can find the max of (1/2)*sin(2*A)
It turns out that sin(x) maxes out at 1 where x can be any expression you want. In this case, x = 2*A.
So (1/2)*sin(2*A) maxes out at (1/2)*1 = 1/2 = 0.5
The greatest value of sin(A)*cos(A) is 1/2 = 0.5
W+2 the answer is this because u figure out the factor of W
