First, we will calculate what percentage is equivalent to 3.9% of the initial amount:
[tex]14623\text{ x 0.039 = \$ 570.297}[/tex]then we can conclude that the years that Breanne needs to leave the money in the account for it to earn $5100 in interest is:
[tex]\text{ }interest\text{ gained: }5100(\frac{1\text{ year}}{570,297})\text{ = 8.94 years }\approx\text{ 9 years.}[/tex]then, the years that Breanne needs to leave the money in the account for it to earn $5100 in interest is 9 years.
