The value of a dirt bike decreases by 30% each year. if you purchased this dirt bike today for $500, to the nearest dollar how much would the bike be worth 5 years later?

$84
$119
$164
$222

After 5 years cost of the dirt bike will be $84.

Option A is the answer.

Step-by-step explanation:

The value of a dirt bike decreases by 30% each year. If the present cost of the dirt bike is $500.

Then the function which defines the decrease in cost of the bike will be

where a = $500

After one year decrease in the cost of the bike will be = 500×0.30 = $150

The cost of the bike next year will be = 500-150 = $350

So the sequence for the cost every year will be 500, 350..........

Now the common ratio of the sequence will be =

Now we can form the explicit formula for this geometric sequence as

where n is the time in years.

For t = 5 years

Therefore, after 5 years cost of the dirt bike will be $84.

Option A is the answer.

the answer on e2020 is

10

4/5

3/5

4/3

step-by-step explanation:

a: 1/6, j: 1/4

step-by-step explanation: you are welcome