The value of an investment a (in dollars) after t years is given by the function a(t) = a0ekt. if it takes 10 years for an investment of $1,000 to triple, how many years will it take for the investment to be $9,000? simplify your answer completely.

20 years.

Step-by-step explanation:

We have been given a formula , which represents the  value of an investment A (in dollars) after t years.

Substitute the given values:

Let us solve for k.

Take natural log of both sides:

Using property , we will get:

We know that , so

Dividing both sides by 1000, we will get:

Take natural log of both sides:

Divide both sides by :

Therefore, it will take 20 years for the investment to be $9,000.

step-by-step explanation:

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