Edward paid $4.77 in sales tax on an item that cost $53.00 before tax. At that rate, how much would he pay in sales tax for an item that costs $61.00 before tax?

He would pay $5.49

Step-by-step explanation:

edward would pay $5.49 on sales tax for an item that costs $61.00.

net price: $61.00

sales tax rate: 9.00%

the formula for finding sales tax is sales tax amount = net price x (sales tax percentage / 100).

total price = net price + sales tax amount.

so,  

$61.00 x (9 / 100) = $5.49

total = $61.00 + $5.49 = $66.49

because this question is not asking for the total price, we can dismiss that.

input $5.49 as your answer. you've then completed this question.

if you have any confusion, please reach out to me and i'll try to help you as best as i can :).

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.

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!