suppose i invest $3000 per year for 35 years in an investment account which earns 9.5%. Approximately how much will I end up with?

To calculate the future value of an investment, you can use the compound interest formula:

FV = P * (1 + r)^n

Where:
FV = Future Value of the investment
P = Principal amount (Initial investment)
r = Annual interest rate (expressed as a decimal)
n = Number of periods (years)

In this case, your principal amount (P) is $3000 per year for 35 years. The annual interest rate (r) is 9.5% or 0.095 as a decimal. The number of periods (n) is 35.

Now, we can calculate the future value (FV):

FV = $3000 * (1 + 0.095)^35

To find the final amount, let's calculate this:
FV = $3000 * (1.095)^35

Using a calculator or a spreadsheet, we can compute this value. The future value of your investment will be approximately $336,589.15.

Please note that this calculation assumes the contributions are made at the beginning of each year and the interest is compounded annually. The actual result may vary depending on other factors such as compounding frequency and any fees or taxes associated with the investment account.