Final answer:
After applying a 33% discount to the original price of $60.50 and adding a 7% sales tax, the total cost of the video game is $43.37. However, this total is not listed among the given options, suggesting there may be an error in the question's options or the calculations.
Step-by-step explanation:
The question involves calculating the total cost of a video game after applying a discount and sales tax. Marcus bought a video game with an original price of $60.50. The game is discounted by 33%, and there is a sales tax of 7%. The problem requires us to calculate both the discount amount and the new price after the discount, as well as the total cost including sales tax.
First, calculate the discount amount:
$60.50 * 33% (0.33) = $19.965, which we round to $19.97.
Then, subtract the discount from the original price to get the discounted price:
$60.50 - $19.97 = $40.53.
Next, find the amount of sales tax to add by converting the percent to a decimal and multiplying by the discounted price:
$40.53 * 7% (0.07) = $2.8371, which we round to $2.84.
Add the sales tax to the discounted price to get the total cost:
$40.53 + $2.84 = $43.37.
So, Marcus paid $43.37 for the video game, which is not an option listed in the question. Hence, there might be a mistake in the multiple-choice options provided with the question or in the assumptions we've made while calculating.