[tex]\begin{gathered} A\text{ = P \lparen1 + }\frac{0.06}{1})^{25} \\ 600000\text{ = P \lparen1.06\rparen}^{25} \\ P\text{ = }\frac{600000}{4.29} \\ P\text{ = 139860.14\$ \lparen in 25 years\rparen} \\ P\left(annualy\right)\text{ = }\frac{139860.14}{25} \\ P\left(annualy\right)\text{ = \$5594.40} \\ P\left(monthly\right)\text{ = }\frac{5594.40}{12} \\ P\left(monthly\right)\text{ = \$466.2} \end{gathered}[/tex]
The formula from above is the compound interest formula
We need to deposit $466.2 every month in the account.
Interest earned = P(year)(0.06)(25)
Interest = 5594.4 (0.06) (25)
Interest = $8391.6
