First you need to find the daily interest rate:
Daily rate = .\(\displaystyle\frac{{09}}{{365}}\) = .000247

Second determine how many days in 4 years: Days = \(\displaystyle{4}\cdot{365}\) = 1460

Then you can set up the equation for amount of interest of 4 years. We will use the initial deposit and multiply by the daily interest rate over 1,460 days: Future value = \(\displaystyle{6000}\cdot{\left({1}+{.000247}\right)}^{{1460}}\)

Final answer is 8,599.60

Second determine how many days in 4 years: Days = \(\displaystyle{4}\cdot{365}\) = 1460

Then you can set up the equation for amount of interest of 4 years. We will use the initial deposit and multiply by the daily interest rate over 1,460 days: Future value = \(\displaystyle{6000}\cdot{\left({1}+{.000247}\right)}^{{1460}}\)

Final answer is 8,599.60