Answer:
To calculate the value of the business in 3 years, we use the formula for compound interest:
A = P * (1 + r/100)^(t)
where A is the final amount, P is the initial amount, r is the annual interest rate as a decimal, t is the number of years.
A = $175,000 * (1 + 0.13/1)^(1*3) = $268,418.60
Therefore, the value of the business in 3 years is $268,418.60. Option C is the correct answer.