Final answer:
The growth of Jason's investment with an annual compound interest rate of 6% can be modeled by the equation A = 100(1.06)^t, where 'A' represents the accumulated amount after 't' years.
Step-by-step explanation:
To model the growth of Jason's investment with compound interest, we use the formula A = P(1 + r/n)^(nt), where:
- A is the amount of money accumulated after n years, including interest.
- P is the principal amount (the initial amount of money).
- r is the annual interest rate (decimal).
- n is the number of times that interest is compounded per year.
- t is the time the money is invested for in years.
For Jason's investment:
- P = $100
- r = 6% or 0.06
- n = 1 (since the interest is compounded annually)
- t = 1 (if we're looking at one year)
The equation for the growth of the investment for any number of years t would be:
A = 100(1 + 0.06/1)^(1*t)
Simplified, the equation is:
A = 100(1.06)^t
This equation can be used to calculate the investment's value after any number of years t.