Part $1$ of $3$

An investor is presented with a choice of two investments: an established furniture store and a new computer store. Each choice requires the same initial investment and each produces a continuous income stream of $3\%,$ compounded continuously. The rate of flow of income from the furniture store is $f(t)=18,000,$ and the rate of flow of income from the computer store is expected to be $g(t)=16,000e^{0\mathrm{.}04t}.$ Compare the future values of these investments to determine which is the better choice over the next $6$ years.

The future value of the furniture store is $

$($Round to the nearest dollar as needed.$)$Part $1$ of $3$

An investor is presented with a choice of two investments: an established furniture store and a new computer store. Each choice requires the same initial investment and each produces a continuous income stream of $3\%,$ compounded continuously. The rate of flow of income from the furniture store is $f(t)=18,000,$ and the rate of flow of income from the computer store is expected to be $g(t)=16,000e^{0\mathrm{.}04t}.$ Compare the future values of these investments to determine which is the better choice over the next $6$ years.

The future value of the furniture store is $

$($Round to the nearest dollar as needed.$)$