Final answer:
To find out the future value of a $50,000 investment after 30 years with a compound interest rate of 5.75%, substitute 30 for x in the given compound interest formula. The resulting amount would be approximately $287,174.56.
Step-by-step explanation:
The objective here is to calculate the future value of an investment using the formula for compound interest. The formula given, 1000000 = 50000(1 + 0.0575)x, represents a scenario where $50,000 is invested at an annual interest rate of 5.75% (interest rate) compounded once per year, and we want to know how much money will be accumulated after 30 years (x = 30). We can simply substitute 30 for x in the equation and solve for the final amount. After calculating, the amount after 30 years comes out to be approximately $287,174.56.