kanya has a credit card that gives a 6% discount on every purchase and free shipping when used online. the…

kanya has a credit card that gives a 6% discount on every purchase and free shipping when used online. the annual percentage rate on the credit card is 12%. kanya wants to buy a laptop that costs $420. which statement about the cost of the laptop is true? if kanya uses the credit card and pays the full balance during the billing cycle, she will spend $25.20 more than paying cash for the laptop. if kanya uses the credit card and pays the full balance during the billing cycle, she will spend $50.40 more than paying cash for the laptop. if kanya uses the credit card and pays the full balance during the billing cycle, she will spend $50.40 less than paying cash for the laptop. if kanya uses the credit card and pays the full balance during the billing cycle, she will spend $25.20 less than paying cash for the laptop.

kanya has a credit card that gives a 6% discount on every purchase and free shipping when used online. the annual percentage rate on the credit card is 12%. kanya wants to buy a laptop that costs $420. which statement about the cost of the laptop is true? if kanya uses the credit card and pays the full balance during the billing cycle, she will spend $25.20 more than paying cash for the laptop. if kanya uses the credit card and pays the full balance during the billing cycle, she will spend $50.40 more than paying cash for the laptop. if kanya uses the credit card and pays the full balance during the billing cycle, she will spend $50.40 less than paying cash for the laptop. if kanya uses the credit card and pays the full balance during the billing cycle, she will spend $25.20 less than paying cash for the laptop.

Answer

Explanation:

Step1: Calculate discount amount

The discount rate is 6% and the cost of laptop is $420. The discount amount $d$ is calculated as $d = 420\times0.06$. $d=420\times0.06 = 25.2$

Step2: Analyze cost when using credit - card

When Kanya uses the credit - card and pays the full balance during the billing cycle, she only pays the cost of the laptop minus the discount. The amount she pays $A$ is $A=420 - 25.2=394.8$. The cash price is $420$. The difference $\Delta A$ between the cash price and the price when using the credit - card is $\Delta A=420 - 394.8 = 25.2$. Since $420-394.8 = 25.2$, she spends $25.2$ less when using the credit - card and paying the full balance during the billing cycle.

Answer:

If Kanya uses the credit card and pays the full balance during the billing cycle, she will spend $25.20 less than paying cash for the laptop.