Question

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.)

a. \\$357.68
b. \\$318.66
c. \\$347.66
d. \\$351.65

Explanation:

Calculate the purchase price with sales tax

Using the Sales Tax Calculation knowledge point

$$
LATEXBLOCK0
$$

Calculate the total electricity cost

Determine the total number of days in four years, accounting for one leap year:

$$ \text{Total Days} = (3 \times 365) + 366 = 1095 + 366 = 1461 \text{ days} $$

Calculate the total electricity cost over these days:

$$ \text{Electricity Cost} = 1461 \times \$0.06 = \$87.66 $$

Calculate the total repair costs

Megan repaired the TV twice, with each repair costing \$29:

$$ \text{Repair Cost} = 2 \times \$29 = \$58.00 $$

Calculate the total lifetime cost

Sum all the individual costs to find the lifetime cost of the TV:

$$
LATEXBLOCK1
$$

Answer:

• a. $357.68
• b. $318.66
• c. $347.66 (Correct answer)
• d. $351.65