Tyrese wants to buy 15 packs of baseball cards. They cost $ 5.00 per pack. There is a 25 % discount before tax if 10 or more packs are purchased. Sales tax is 7 % . Tyrese gives the cashier $ 100 to pay for his baseball cards. How much change will he receive in return?

Tyrese will receive $39.81 in return.

Step-by-step explanation:

First, you have to multiply the 15 packs for the cost per pack:

15*$5=$75

As there is a 25% discount before tax if 10 or more packs are purchased, you have to calculate 25% of the total cost for the 15 packs and subtract that amount from the cost:

$75*25%=$18.75

$75-$18.75=$56.25

Then, you have to calculate 7% of the amount with the discount and add that to the cost:

$56.25*7%=$3.93

$56.25+$3.94=$60.19

Now, you can subtract $60.19 from $100 to find the change that Tyrese will receive in return:

$100-$60.19= $39.81

According to this, the answer is that Tyrese will receive $39.81 in return.

the least common denominator is 40

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.