Recall That the Capital Value of an Asset Is Given $\int _ { 0 } ^ { \infty } \mathrm { K } ( \mathrm { t } ) \mathrm { e } ^ { - r \mathrm { t } } \mathrm { dt }$

Short Answer

Recall that the capital value of an asset is given by $\int _ { 0 } ^ { \infty } \mathrm { K } ( \mathrm { t } ) \mathrm { e } ^ { - r \mathrm { t } } \mathrm { dt }$ If the annual rate of earnings, K(t), of a certain machine is $3000 and if the interest rate is 12%, find the capital interest of the machine.
Enter just an integer representing dollars (no units).