How is the total price including sales tax calculated?
a. (purchase price) x (percent sales tax); then added to the original amount
b. (purchase price) x (percent sales tax); then subtracted from the original amount
c. (purchase price) x (percent sales tax); then divided by the original amount
d. (purchase price) x (percent sales tax); then multiplied by the original amount

a is correct

(purchase price) x (percent sales tax); then added to the original amount

Step-by-step explanation:

When we buy some product. We have to pay tax on their purchasing amount. Tax always calculate as percentage.

First we find percentage of sales tax on purchase price which called sale tax value

Now we add sale tax amount into purchase value to get final payment of product.

Let original or purchase price of any product be p and sale tax on that product is s%

Sale tax value = s% of p = ps/100

Final price to pay = p + ps/100

Hence,  (purchase price) x (percent sales tax); then added to the original amount

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.