select the correct answer. seth wants to purchase a new desk. since he lives near the border of two cities…

select the correct answer. seth wants to purchase a new desk. since he lives near the border of two cities with different sales taxes rates, he decides to compare the total price of the desk from each store. store a store b desk price: $289.99 desk price: $299.99 sales tax rate: 7% sales tax rate: 6.5% which statement is true? a. the total cost of the desk including sales tax will be lower at store a by about $9. b. the total cost of the desk including sales tax will be higher at store a by about $9. c. the total cost of the desk including sales tax will be lower at store b by about $12. d. the total cost of the desk including sales tax will be higher at store b by about $12. e. the total cost of the desk including sales tax will be the same for both stores.
Answer
Answer:
B. The total cost of the desk including sales tax will be higher at store A by about $9.
Explanation:
Step1: Calculate total cost for store A
The sales - tax amount for store A is $289.99\times0.07=$20.2993$. The total cost at store A is $289.99 + 20.2993=$310.2893$.
Step2: Calculate total cost for store B
The sales - tax amount for store B is $299.99\times0.065=$19.49935$. The total cost at store B is $299.99+19.49935 = $319.48935$.
Step3: Find the difference
The difference in total costs is $319.48935 - 310.2893=$9.20005\approx$9$. Since $319.48935>310.2893$, the total cost is higher at store A by about $9$.