The formula for simple interest is given by I = PRT, where I is the accrued interest, P is the principal amount, R is the interest rate, and T is the time period.
Using this formula, we can calculate the accrued interest as:
I = 10,000 * 0.0475 * 13 = $6,175.00
To find the final amount, we add the accrued interest to the principal amount:
Final amount = 10,000 + 6,175 = $16,175.00
Therefore, the accrued interest is $6,175.00 and the final amount of the investment is $16,175.00.