The function g(x) = 12,500(0.91)x represents the value of a piece of farm equipment after x years. Approximately when will its value be half its original value? A.
8.1 years

B.
7.3 years

C.
4.6 years

D.
3.9 years

B. 7.3 years

Step-by-step explanation:

The question is wrong. The correct function is :

We have the function that represents the value of a piece of farm equipment after years.

This means that when its original value is :

Now we want to calculate approximately when will its value be half its original value. Then, we write :

is half of its original value. We need to find that satisfies the following equation :

Solving for :

⇒

Now we apply natural logarithm to each side of the equation :

Using logarithm properties :

⇒

⇒

≅

The correct option is B. 7.3 years

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: