Tax rate change: suppose a certain tax rate goes from 6% to 18%. which of the following statements is not true?
a.the new tax rate is 12 percentage points greater than the old tax rate.
b.the new tax rate is 3 times the old tax rate. c.
c.the new tax rate is 300% greater than the old tax rate.
d.the new tax rate is 200% greater than the old tax rate.

The c statement is not true.

Step-by-step explanation:

We need to check every statement to determine which one is false.

a. The old tax rate was 6% and the new one is 18%. The difference between the new and the old one will give us how much it's been increased. So 18-6=12, meaning the tax has increased 12%, so this statement is true.

b. If we multiply by 3 the old tax rate we get 6x3=18, which is the same as the new tax rate, so this statement is also true.

c. Increasing the tax rate 100% would mean multiplying by 2, since 100% is the same as the number, so adding that to the same number would double the amount. By the same logic, increasing it 200% would be the same as multiplying it by 3, and by 4 with a 300% increase. Since we already determined that the new tax was 3 times the old one, this statement is false, and the d. statement is true.

F(x) = x^2 - 16

Step-by-step explanation:

The average profit from the sale of 1 piece of furniture = x+4.

The average # of pieces of furniture that can be made using the current supply of raw materials = x - 4.

The average profit = The average profit from the sale of 1 piece × The average number of pices that can be made.

Therefore,

F(x) = (x+4) (x-4)

Use the difference of squares formula:

F(x) = x^2 - 4^2

F(x) = x^2 - 16

Hope this helps! If you have any more questions or need further clarification on anything please let me know in the comments down below! Good luck!