For this case, we have that the equation of the position is given by:

To find the velocity, we must derive the equation from the position.
We have then:

Then, we evaluate the derivative for time t = 8.
We have then:
Answer:
the instantaneous velocity at t = 8 is:
Initial cash on hand : $200.00
Ticket cost : $87.96
T-shirt cost per piece: $30.00
The first thing Staci needs to do is to deduct the cost of the ticket from her money.
$200 - 87.96 = $112.04
Stacy has the extra amount of 112.04 to purchase t-shirts. Since, each t-shirt costs $30. To know the number of shirts she can buy, she must divide the difference by 30.
$112.04 / $30 = 3.73
Based from the quotient, Stacy can buy 3 t-shirts.
$30 * 3 = $90 total cost of the tshirts.
$112.04 - 90 = $22.04
After buying the ticket and 3 tshirts, Staci has an excess of $22.04 from her $200.
Answer:
$38.16
Step-by-step explanation:
8% of $48 is $3.84 so we subtract $48-$3.84=$44.16. Because of the coupon we then remove $6. $44.16-$6=$38.16