You have just finished paying off your $35,125 loan, a feat which took ten years of quarterly payments. the loan had an interest rate of 7.44%, compounded quarterly. if you also paid $5,180.70 in service charges, what percentage of the total cost was made up by your finance charges? round all dollar values to the nearest cent. a. 25.69% b. 36.47% c. 57.41% d. 27.10%

We have to compute first for the total cost of the loan by obtaining the monthly amortization:
 A= P/ [(1+ r/n)^n-1] /r(1+r/n)^n
where
P= loan amount 
P= $35125
r=interest rate of 7.44%
n = compounding frequency of 4
t= length of loan 10 years
A= $1252.7
Total cost = $1252.7x40=$50108
Computing the percentage of the finance charges 
Finance charge = debt charge+service charge
Finance charge% =($50108-$32125+$5180.7)($50108+$5180.7)x 100
                               =36.47%
The answer is letter b.36.47%

The formula used will be:

tan 42° = y/115

Step-by-step explanation:

Lets simplify the the question.

We have a boat which is situated at 115 meters away from a light house. It forms the base of the right angled triangle.

We need to find the distance from the bottom of the light house to the top of the light house. This distance is the height of the lighthouse, which forms the perpendicular side of the right angled triangle.

The distance between boat and top of the lighthouse is unknown, it forms the hypotenuse.

The angle of elevation, which is the angle between base and hypotenuse, is given as 42°.

The right angled formed is shown below.

We know that

tanθ = Perpendicular / Base

tan42 = height / 115

If height= y

tan 42° = y/115

Solve for y.

y = 103.55 meters