Aclothing store used the sign shown below advertise a discount on shirts buy two shirts get the third half off.ky buys three shirts,which were originally $49.96 each. the store will discount the price of the third shirt and then apply a 7.1 percent tax to the total value of the three shirts.including the tax,what will be the mean cost of each shirt?
a. $41.99
b.$42.70
c. $44.59
d.$45.18

Option (c) is correct.

The mean cost of each shirt will be $44.59

Step-by-step explanation:

Given: The cost of each shirt is $ 49.96

also, The advertisement shows a discount on shirts buy two shirts get the third half off.

That is price of third shirt is

Thus, Total price of three shirt will be

$(49.96 + 49.96 + 24.98) = $124.90

Now, Given the store applies a  7.1 percent tax to the total value of the three shirts including the tax.

Then, The tax applied will be

7.1% on total cost of three shirts.

That is

Adding tax to cost of 3 shirts = $124.90 + $ 8.87 = $ 133.77

Thus, The mean cost of each shirt will be

Thus, The mean cost of each shirt will be $44.59.

Given that the value of an industrial machine has a decay factor of 0.75 per year, and after six years, it became $7,500 only, this would mean that the original value of the machine would be solved like this: 7500 = x(1-.75)^6 
7500 = x(0.25)^6
7500 = x(0.00024414062)
7500 = 0.00024414062x
x = 30, 720, 000
Hope this answers your question.