Olivia bought a $1,874 sprinkler system with her credit card. Her credit card has an APR of 10. 31%, compounded monthly. She made no other purchases on the card until the sprinkler system was fully paid for, which took four years of identical monthly payments. Over the eight years that Olivia kept the sprinkler system, it used an average of $2. 11 in water per week. After eight years, what percentage of the total lifetime cost of the system did the original price make up? (Round all dollar values to the nearest cent. ) a. 81. 66% b. 59. 07% c. 38. 25% d. 72. 33%.

a

step-by-step explanation:

u take $30 minus $24. the answer/original($30)

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.