6. music systems, inc. allows a 10% discount if a purchase is paid for within 30 days. an additional 5%…

6. music systems, inc. allows a 10% discount if a purchase is paid for within 30 days. an additional 5% discount is given if the purchase is paid for within 15 days. brent buys a sound system that originally cost $250. if he pays the entire amount at the time of purchase, how much does he pay for his system after the successive discounts?

6. music systems, inc. allows a 10% discount if a purchase is paid for within 30 days. an additional 5% discount is given if the purchase is paid for within 15 days. brent buys a sound system that originally cost $250. if he pays the entire amount at the time of purchase, how much does he pay for his system after the successive discounts?

Answer

Explanation:

Step1: Calculate the price after the first - 10% discount

The original price of the sound system is $250. After a 10% discount (where the discount rate $r_1 = 0.1$), the price $P_1$ is calculated as $P_1=(1 - r_1)\times250=(1 - 0.1)\times250 = 0.9\times250=225$.

Step2: Calculate the price after the additional 5% discount

After the first - step discount, there is an additional 5% discount (with discount rate $r_2 = 0.05$). The final price $P$ is calculated as $P=(1 - r_2)\times P_1=(1 - 0.05)\times225 = 0.95\times225 = 213.75$.

Answer:

$213.75$