A perpetuity makes continuous payments. At time $t,$ the perpetuity pays at an annual rate of $3t.$ Time is measured in years.

At an annual effective interest rate of $5\%,$ calculate the present value of the perpetuity.

$1,141\mathrm{.}24$

$1,229\mathrm{.}76$

$1,259\mathrm{.}25$

$1,260\mathrm{.}25$

$1,291\mathrm{.}24$