The value of an investment, in dollars, is estimated by a function $V$. In $2015$, the investment was worth $5,000. Each year from $2015$ to $2022$, the function estimates that the value of the investment increased by $4\%$ of its value the previous year. Which equation defines this function, where $V(t)$ is the estimated value of the investment $t$ years after $2015$?