The owner of a local Chick-fil-A reported that her restaurant posted a profit of 480 thousand dollars last year. Beginning on January 1. 2016, she began investing 13% of the annual profits into an account with an interest rate of 3.26% compounded continuously. She plans to do this for five years. Assume a continuous income stream. Suppose the profits increase by 2.8% each year. Find the principal for this investment (the amount the owner would put into the investment over the five years) Type the definite integral that you would evaluate in order to answer the question. DO NOT include the numerical answer or units, just type the integral. DO NOT simplify the terms in your integral, leave everything separate so that it can be graded with partial credit