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.

multiply length by height. multiply the length by the height, and then double the product. work out 10 x 10 results = 100 square inches, then work out 100 x 2 = 200. the answer is 200 square inches.

step-by-step explanation:

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.