When you buy an item on which sales tax is charged, the total cost is calculated by the formula T=P+s/100p where T is the total cost, p is the items price, and s is the sales tax rate (as a percent). If you pay $14.77 for an item priced at $14, what was the tax rate ?

Given:

The formula for total cost is

where, p is the price of item and s is the sales tax rate (as a percent).

You pay $14.77 for an item priced at $14.

To find:

The the tax rate.

Solution:

You pay $14.77 for an item priced at $14. So,

Total cost (T) = $14.77

Price of item (p) = $14

Putting T=14.77 and p=14 in given formula, we get

Multiply both sides by 100.

Divide both sides by 14.

Therefore, the tax rate is 5.5%.

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1