Let's break down the solution step-by-step.
1. Determine the cost of the items without tax.
The store sells a bicycle tube for \[tex]$21.00 and a tire patch kit for \$[/tex]9.00. Therefore, the total cost before tax is:
[tex]\[
\text{Total cost before tax} = \$21.00 + \$9.00 = \$30.00
\][/tex]
2. Calculate the amount of tax.
The tax rate is 7%. To find the tax on the total cost before tax, we multiply the total cost by the tax rate:
[tex]\[
\text{Total tax} = \$30.00 \times 0.07 = \$2.10
\][/tex]
3. Determine the total cost including tax.
To find the total cost including tax, we add the tax amount to the total cost before tax:
[tex]\[
\text{Total cost after tax} = \$30.00 + \$2.10 = \$32.10
\][/tex]
Therefore, the cost to purchase both the bicycle tube and the tire patch kit, including tax, is \$32.10.
