Rich is comparing the cost of maintaining his car with the depreciation value of the car. The value starts at $20,000 and decreases by 15% each year.
The maintanance cost is $500 the first year and increases by 28% per year.
When will the maintenance cost and the value be the same.
Please explain step by step
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The maintance cost and the value will be the same in 9 years.

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

In which r is the rate of change.

The value starts at $20,000 and decreases by 15% each year.

This means that

So

The maintance cost is $500 the first year and increases by 28% per year.

This means that . So

When will the maintenance cost and the value be the same.

This is t for which:

So

The maintance cost and the value will be the same in 9 years.

addition

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it