Step-by-step explanation: I use the Law of Cosines to find one of the angles of the triangle. Then use the formula for the area of the triangle: A = (1/2)absinC.
C= 92.856 degree
Area = (1/2)(112)(148)sin(92.856°) = 8277.7 ft^2
To find the price just need to take 8277.7 time 20 = 165554
The final value (FV) that is paid in a loan (which is the sum of the capital and the interests) equals the present value (PV) of the loan multiplied by , in a simple interest context, where "n" equals the periods of time and "i" equals the interest rate valid for that periodicity.
Then . In this case, PV=$15,000; final value equals FV=$15,000+1,687.5= $16,687.5.
We should clear "n" from our equation, which means: . Dividing both sides by 15,000, then subtracting 1 both sides, and finally dividing by 0.075 both sides, results in n=1.5.
Then, Malorie had the loan for one an a half periods.