megans tv had a base price of $189 and the sales tax was 6.88%. over the next four years, the tv consumed an…

megans tv had a base price of $189 and the sales tax was 6.88%. over the next four years, the tv consumed an average of $0.06 of electricity every day. it also needed repairs twice, costing $29 each time. after four years, megan got a new tv. what was the lifetime cost of megans tv? (remember that one in every four years is a leap year.)\na. $357.68\nb. $318.66\nc. $347.66\nd. $351.65

megans tv had a base price of $189 and the sales tax was 6.88%. over the next four years, the tv consumed an average of $0.06 of electricity every day. it also needed repairs twice, costing $29 each time. after four years, megan got a new tv. what was the lifetime cost of megans tv? (remember that one in every four years is a leap year.)\na. $357.68\nb. $318.66\nc. $347.66\nd. $351.65

Answer

Explanation:

Step1: Calculate the sales - tax amount

The sales - tax rate is $6.88%=0.0688$, and the base price of the TV is $189$. The sales - tax amount is $189\times0.0688 = 189\times\frac{6.88}{100}=13.0032$.

Step2: Calculate the total electricity cost

In 4 years, there are $3\times365 + 366=1461$ days. The TV consumes $0.06$ of electricity per day. So the total electricity cost is $0.06\times1461 = 87.66$.

Step3: Calculate the total repair cost

The TV needs repairs twice, and each repair costs $29$. So the total repair cost is $2\times29 = 58$.

Step4: Calculate the lifetime cost

The lifetime cost is the sum of the base price, sales - tax, electricity cost, and repair cost. The base price is $189$, the sales - tax is $13.0032$, the electricity cost is $87.66$, and the repair cost is $58$. So the lifetime cost is $189+13.0032 + 87.66+58=347.6632\approx347.66$.

Answer:

C. $347.66$