Based on the information below, choose the correct answers. note: the monthly loan payment was calculated at 119 payments of $242.66 plus a final payment of $241.78. loan balance: $20,000.00 loan interest rate: 8.00% monthly loan payment: $242.66 number of payments: 120 cumulative payments: $29,118.32 total interest paid: $9,118.32 1. on average, what dollar amount of each monthly payment is interest? $ 76.99 77.99 75.99 2. what percent of the total payments is total interest? % 31.3 32.4 31.9

Step-by-step explanation:

1. Interest of 9118.32 divided into 120 equal monthly amounts is ...

... 9118.32/120 ≈ 75.99

2. (Total interest)/(total payments) = 9118.32/29118.32 ≈ 0.31315 ≈ 31.3%

answer is

c) 4

step-by-step explanation:

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).