the music store is having a 15% off sale on all classical music cds. lyell has a coupon for 20% off any…

the music store is having a 15% off sale on all classical music cds. lyell has a coupon for 20% off any classical music cd. how much will lyell save on a classical music cd that has a price of $23.99? a. $7.20 b. $7.68 c. $8.40 d. $9.60 please select the best answer from the choices provided

the music store is having a 15% off sale on all classical music cds. lyell has a coupon for 20% off any classical music cd. how much will lyell save on a classical music cd that has a price of $23.99? a. $7.20 b. $7.68 c. $8.40 d. $9.60 please select the best answer from the choices provided

Answer

Explanation:

Step1: Calculate the total discount rate

The store - wide discount is 15% and the coupon is 20%. The total discount rate $r$ is calculated as $r = 1-(1 - 0.15)(1 - 0.20)$. First, $(1 - 0.15)=0.85$ and $(1 - 0.20)=0.80$. Then $(1 - 0.15)(1 - 0.20)=0.85\times0.80 = 0.68$. So, $r=1 - 0.68=0.32$.

Step2: Calculate the amount saved

The original price of the CD is $P = 23.99$. The amount saved $S$ is given by the formula $S = r\times P$. Substitute $r = 0.32$ and $P = 23.99$ into the formula: $S=0.32\times23.99\approx0.32\times24 = 7.68$.

Answer:

B. $7.68