Question

Andrea invested $\$3,000$ in an online currency. If the value of the currency increases at a rate of 14\% per year, the situation can be modeled using the equation A(t) = 3,000(1.14)^t, where A is the amount in the investment after t years. What are the a-values

Answer 1

In the equation \( A(t) = 3,000(1.14)^t \), the expression \( 3,000 \) is the initial investment amount, and \( (1.14)^t \) represents the growth of that investment over time due to the annual rate of increase.

In this context, the term "a-values" commonly refers to the growth factor associated with the annual increase rate. The "a-value" can highlight the base of the exponential function in the equation.

Here:

- The base of the exponential part of the equation is \( 1.14 \), which represents a 14% increase each year.

Thus, the value representing growth is \( a = 1.14 \).

If you are looking for the "a-values" in a different context or have more specific criteria in mind, please clarify! However, based on the exponential growth model, the significant value to focus on is:

\[
a = 1.14
\]