Final answer:
After calculating the total cost of 4 notebooks including a 6% sales tax, and subtracting this from the $30.00 Dave gave the cashier, Dave should receive $3.33 back in change.
Step-by-step explanation:
To calculate the amount of money Dave should receive back from the cashier after purchasing 4 notebooks, we need to first calculate the total cost of the notebooks including sales tax. The cost of one notebook before tax is $6.29, and he bought 4 notebooks. Therefore, the total cost before tax is 4 × $6.29 = $25.16. The sales tax rate is 6%, so to find the sales tax amount, we convert the percentage to a decimal and multiply it by the total cost before tax. The sales tax is thus 0.06 × $25.16 = $1.5096, which we round to the nearest penny to get $1.51. The total cost after adding sales tax is $25.16 + $1.51 = $26.67.
Dave gave the cashier $30.00, so to find the change he should receive back, we subtract the total cost after tax from the amount he paid: $30.00 - $26.67 = $3.33.
Therefore, Dave should receive $3.33 back from the cashier.