Using an exponential function, it is found that it takes 5.42 years for the car to halve in value.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, the car depreciates 12% a year in value, hence r = 0.12 and the equation is given by:
.
It halves in value at t years, for which A(t) = 0.5A(0), hence:
t = 5.42.
It takes 5.42 years for the car to halve in value.
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
its 41
Step-by-step explanation:
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The only reasonable answer is B.
Answer:
x=8
AC=148
Step-by-step explanation:
Okay so if B is the midpoint of AC, that basically means that it's the halfway point. If B is exactly halfway between A and C, that means that the distance between A and B, and the distance between B and C is the same. In other words: AB=BC
Knowing that AB=BC, we can sub the values given by the question:
AB = BC
9x+2 = 5x+34
9x-5x = 34-2
4x = 32
x = 8
Now that we know the value of x, we can find AC, since AC=AB+BC
AC = AB + BC
= 9x+2 + 5x+34
= 14x+36
= 14(8)+36
=112+36
=148
