Matthew bought 4 new compact discs at $16.99 each and a carrying case for $35.89. he paid 8 1/4% sales tax on his purchases. if matthew paid $112.42 total, determine if he paid the correct amount.

a. matthew paid $0.15 too little for his purchases.

b. matthew paid $0.16 too much for his purchases.

c. matthew paid $0.05 too much for his purchases.

d. matthew paid the correct amount for his purchases.

D. Matthew paid the correct amount for his purchases.

Step-by-step explanation:

($16.99 x 4) + $35.89 = $103.85 --cost of purchases

8.25% of $103.85 = $8.57 --sales tax

$103.85 + $8.57 = $112.42 --total cost

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.