Final answer:
After a year of making only minimum monthly payments on a $2,500 loan with a 20% APR, you would owe approximately $2,700.
Step-by-step explanation:
To calculate how much you would owe after a year, we can use the given function g(m) = 2500(1.2) - 25m, where g(m) represents the amount you owe and m is the number of monthly payments. Since the function represents the amount owed after making m monthly payments, we can substitute m = 12 into the function to find the amount owed after a year.
g(12) = 2500(1.2) - 25(12)
Simplifying this equation, we get g(12) = 3000 - 300 = $2,700.
Therefore, after a year of making only minimum monthly payments on a $2,500 loan with a 20% APR, you would owe approximately $2,700.