Final answer:
Using the formula for simple interest, Josie will have $6765 in her account after investing $6000 at a 4.25% interest rate for 3 years.
Step-by-step explanation:
The question asked is to calculate the total amount Josie will have in her account after investing $6000 for 3 years at a 4.25% interest rate. The formula used to determine the future value of a simple interest investment is given by A = P(1 + rt), 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), and t is the time the money is invested or borrowed for, in years.
To calculate Josie's investment value after 3 years, the formula becomes $6000 (1 + (0.0425) × 3). By solving this equation, we get A = $6000 (1 + 0.1275), which simplifies to A = $6000 × 1.1275, and upon calculation, A = $6765.
Therefore, after 3 years, Josie will have $6765 in her account.