Final answer:
The values of a, r, and k depend on the specific context given. To calculate the money in the account after 9 years, plug in the values for initial amount and annual interest rate. The APY can be calculated using the formula provided.
Step-by-step explanation:
The values of a, r, and k depend on the specific context mentioned in the question. Without any additional information, it is not possible to determine what values to use for a, r, and k. It is important to note that in the given formula for APY, a stands for the initial amount, r stands for the annual interest rate, and k stands for the number of compounding periods per year.
To calculate the final amount of money in the account after 9 years, you need to know the initial amount (a) and the annual interest rate (r). Plug these values into the formula and calculate the result. For example, if the initial amount is $1000 and the annual interest rate is 5%, the calculation would be: Final Amount = $1000(1+0.05/1)^(1*9).
The annual percentage yield (APY) represents the true annualized rate of return, taking into account the effect of compounding. To calculate APY, you need to know the initial amount, the annual interest rate, and the number of compounding periods per year. Plug these values into the given formula: APY = (1 + r/k)^(k*t) - 1. Simplify the expression using the given values and calculate the result.