An electronics store advertised a 35% discount on all big screen TV's. If the sales tax rate where Will Smith lives is 5.5%, how much did he pay for a 60 inch TV, which regularly sells for $1,250?

Will Smith paid $857.19 for the 60 inch TV.

Step-by-step explanation:

Step 1:

The 60 inch TV sells for $1,250. The electronics store offers a discount of 35%.

So the price that is paid for the TV is reduced by 35%.

We need to determine how much 35% of $1,250 is.

35% of $1,250

So a discount of $437.50 is applied to the original price.

The discounted price

The discounted price of the TV is $812.50.

Step 2:

A sales tax rate of 5.5% is applied where Will Smith lives.

We need to determine how much 5.5% of $812.50 is.

5.5% of $812.50

So a sales tax of $44.6875 is applied to the original price.

The total price

Rounding this off, Will Smith paid $857.19 for the 60 inch TV.

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step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b