The sales tax on the purchase of a futon is $24.45. if the tax rate is 5%, find the purchase price of the futon

The purchase price of the futon is $23.2275.

Step-by-step explanation:

The sales price is how much you sold the product for, including the taxes, which is 5%.

The purchase price is how much you bought the futon for, that is, without the taxes.

The tax rate is 5% and you sell the futon for $24.45. So you paid for the futon 95% of 24.45.

So

24.45 - 1

x - 0.95

The purchase price of the futon is $23.2275.

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

4400

step-by-step explanation: