Compute the monthly payments for a vehicle that costs $$15,100$ if you financed the entire purchase over $4$ years at an annual interest rate of $7,75$ percent. Also, calculate the loan payments assuming rates of $6\mathrm{.}75$ percent and $8\mathrm{.}75$ percent. Compare the total amount spent on the vehicle under each assumption. Note: Round intermediate computations to at least five $(5)$ decimal places Click on the table icon to view the Monthly Installment Loan Payment Factor $($MILPF $)$ table: The monthly payments for a vehicle that costs $$15,100$ if you financed the entire purchase over $4$ years at an annual interest rate of $7\mathrm{.}75\%$ is $($Round to the nearest cent.$)$Loan Maturity $($in months$)$

$\backslash$table$[[$interest$,6,12,18,24,30,36,48,60,72,84,96],[4\mathrm{.}00\%,168\mathrm{.}62,85\mathrm{.}15,57\mathrm{.}33,43\mathrm{.}42,35\mathrm{.}08,29\mathrm{.}52,22\mathrm{.}58,18\mathrm{.}42,15\mathrm{.}65,13\mathrm{.}67,12\mathrm{.}19],[4\mathrm{.}25\%,168\mathrm{.}74,85\mathrm{.}26,57\mathrm{.}44,43\mathrm{.}54,35\mathrm{.}19,29\mathrm{.}64,22\mathrm{.}69,18\mathrm{.}53,15\mathrm{.}76,13\mathrm{.}78,12\mathrm{.}31],[4\mathrm{.}50\%,168\mathrm{.}86,85\mathrm{.}38,57\mathrm{.}56,43\mathrm{.}65,35\mathrm{.}31,29\mathrm{.}75,22\mathrm{.}80,18\mathrm{.}64,15\mathrm{.}87,13\mathrm{.}90,12\mathrm{.}42],[4\mathrm{.}75\%,168\mathrm{.}98,85\mathrm{.}49,57\mathrm{.}67,43\mathrm{.}76,35\mathrm{.}42,29\mathrm{.}86,22\mathrm{.}92,18\mathrm{.}76,15\mathrm{.}99,14\mathrm{.}02,12\mathrm{.}54],[5\mathrm{.}00\%,169\mathrm{.}11,85\mathrm{.}61,57\mathrm{.}78,43\mathrm{.}87,35\mathrm{.}53,29\mathrm{.}97,23\mathrm{.}03,18\mathrm{.}87,16\mathrm{.}10,14\mathrm{.}13,12\mathrm{.}66],[5\mathrm{.}25\%,169\mathrm{.}23,85\mathrm{.}72,57\mathrm{.}89,43\mathrm{.}98,35\mathrm{.}64,30\mathrm{.}08,23\mathrm{.}14,18\mathrm{.}99,16\mathrm{.}22,14\mathrm{.}25,12\mathrm{.}78],[5\mathrm{.}50\%,169\mathrm{.}35,85\mathrm{.}84,58\mathrm{.}01,44\mathrm{.}10,35\mathrm{.}75,30\mathrm{.}20,23\mathrm{.}26,19\mathrm{.}10,16\mathrm{.}34,14\mathrm{.}37,12\mathrm{.}90],[5\mathrm{.}75\%,169\mathrm{.}47,85\mathrm{.}95,58\mathrm{.}12,44\mathrm{.}21,35\mathrm{.}87,30\mathrm{.}31,23\mathrm{.}37,19\mathrm{.}22,16\mathrm{.}46,14\mathrm{.}49,13\mathrm{.}02],[6\mathrm{.}00\%,169\mathrm{.}60,86\mathrm{.}07,58\mathrm{.}23,44\mathrm{.}32,35\mathrm{.}98,30\mathrm{.}42,23\mathrm{.}49,19\mathrm{.}33,16\mathrm{.}57,14\mathrm{.}61,13\mathrm{.}14],[6\mathrm{.}25\%,169\mathrm{.}72,86\mathrm{.}18,58\mathrm{.}34,44\mathrm{.}43,36\mathrm{.}09,30\mathrm{.}54,23\mathrm{.}60,19\mathrm{.}45,16\mathrm{.}69,14\mathrm{.}73,13\mathrm{.}26],[6\mathrm{.}50\%,169\mathrm{.}84,86\mathrm{.}30,58\mathrm{.}46,44\mathrm{.}55,36\mathrm{.}20,3065,23\mathrm{.}71,19\mathrm{.}57,16\mathrm{.}81,14\mathrm{.}85,13\mathrm{.}39],[6\mathrm{.}75\%,169\mathrm{.}96,86\mathrm{.}41,58\mathrm{.}57,44\mathrm{.}66,36\mathrm{.}32,30\mathrm{.}76,23\mathrm{.}83,19\mathrm{.}68,16\mathrm{.}93,14\mathrm{.}97,13\mathrm{.}51],[7\mathrm{.}00\%,170\mathrm{.}09,86\mathrm{.}53,58\mathrm{.}68,44\mathrm{.}77,36\mathrm{.}43,3088,23\mathrm{.}95,19\mathrm{.}80,17\mathrm{.}05,15\mathrm{.}09,13\mathrm{.}63],[7\mathrm{.}25\%,170\mathrm{.}21,86\mathrm{.}64,58\mathrm{.}80,44\mathrm{.}89,36\mathrm{.}55,30\mathrm{.}99,24\mathrm{.}06,19\mathrm{.}92,17\mathrm{.}17,15\mathrm{.}22,13\mathrm{.}76],[7\mathrm{.}50\%,170\mathrm{.}33,86\mathrm{.}76,58\mathrm{.}91,45\mathrm{.}00,36\mathrm{.}66,31\mathrm{.}11,2418,20\mathrm{.}04,17\mathrm{.}29,15\mathrm{.}34,13\mathrm{.}88],[7\mathrm{.}75\%,170\mathrm{.}45,86\mathrm{.}87,59\mathrm{.}03,45\mathrm{.}11,36\mathrm{.}77,3122,24\mathrm{.}30,20\mathrm{.}16,17\mathrm{.}41,15\mathrm{.}46,14\mathrm{.}01],[8\mathrm{.}00\%,170\mathrm{.}58,86\mathrm{.}99,59\mathrm{.}14,45\mathrm{.}23,36\mathrm{.}89,31\mathrm{.}34,24\mathrm{.}41,20\mathrm{.}28,17\mathrm{.}53,15\mathrm{.}59,14\mathrm{.}14],[8\mathrm{.}25\%,170\mathrm{.}70,87\mathrm{.}10,59\mathrm{.}25,45\mathrm{.}34,37\mathrm{.}00,31\mathrm{.}45,24\mathrm{.}53,20\mathrm{.}40,17\mathrm{.}66,15\mathrm{.}71,14\mathrm{.}26],[8\mathrm{.}50\%,170\mathrm{.}82,87\mathrm{.}22,59\mathrm{.}37,45\mathrm{.}46,37\mathrm{.}12,31\mathrm{.}57,2465,20\mathrm{.}52,17\mathrm{.}78,15\mathrm{.}84,14\mathrm{.}39],[8\mathrm{.}75\%,170\mathrm{.}95,87\mathrm{.}34,59\mathrm{.}48,45\mathrm{.}57,37\mathrm{.}23,31\mathrm{.}68,24\mathrm{.}77,20\mathrm{.}64,17\mathrm{.}90,15\mathrm{.}96,14\mathrm{.}52],[9\mathrm{.}00\%,171\mathrm{.}07,87\mathrm{.}45,59\mathrm{.}60,45\mathrm{.}68,37\mathrm{.}35,31\mathrm{.}80,2489,20\mathrm{.}76,18\mathrm{.}03,16\mathrm{.}09,14\mathrm{.}65],[9\mathrm{.}25\%,171\mathrm{.}19,87\mathrm{.}57,59\mathrm{.}71,45\mathrm{.}80,37\mathrm{.}46,31\mathrm{.}92,25\mathrm{.}00,2088,18\mathrm{.}15,16\mathrm{.}22,14\mathrm{.}78],[9\mathrm{.}50\%,171\mathrm{.}32,\backslash$table