matthew bought 4 new compact discs at $16.99 each and a carrying case for $35.89. he paid 8\\frac{1}{4}%…

matthew bought 4 new compact discs at $16.99 each and a carrying case for $35.89. he paid 8\\frac{1}{4}% sales tax on his purchases. if matthew paid $112.42 total, determine if he paid the correct amount.\na matthew paid $0.15 too little for his purchases\nb matthew paid $0.16 too much for his purchases\nc matthew paid $0.05 too much for his purchases\nd matthew paid the correct amount for his purchases\nplease select the best answer from the choices provided

matthew bought 4 new compact discs at $16.99 each and a carrying case for $35.89. he paid 8\\frac{1}{4}% sales tax on his purchases. if matthew paid $112.42 total, determine if he paid the correct amount.\na matthew paid $0.15 too little for his purchases\nb matthew paid $0.16 too much for his purchases\nc matthew paid $0.05 too much for his purchases\nd matthew paid the correct amount for his purchases\nplease select the best answer from the choices provided

Answer

Explanation:

Step1: Calculate cost of compact discs

$4\times16.99 = 67.96$

Step2: Calculate subtotal of purchases

$67.96 + 35.89=103.85$

Step3: Convert tax rate to decimal

$8\frac{1}{4}%=\frac{33}{4}\div100 = 0.0825$

Step4: Calculate tax amount

$103.85\times0.0825 = 8.567625$

Step5: Calculate total cost

$103.85+ 8.567625=112.417625\approx112.42$

Answer:

D. Matthew paid the correct amount for his purchases