Monthly interest, i = APR/12 = 0.06/12 = 0.005
Monthly payment, A = $450
Period, n = 36 (months)
Future value of payment
= A((1+i)^n-1)/i
= 450((1.005^36-1)/0.005
= 17701.2472341
Future value of car
F = future value of payment + residual value
= 17701.2472341 + 20000
= 37701.2472341
Present value of car
= downpayment + present value of future payments
= 1500 + F/(1+i)^36
= 1500 + 37701.2472341/(1.005^36)
= 1500 + 31504.86
= 33004.86
![\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}](https://tex.z-dn.net/?f=%5Clarge%5Cmathfrak%7B%7B%5Cpmb%7B%5Cunderline%7B%5Cred%7BStep-by-step%5C%3Aexplanation%7D%7D%7B%5Cred%7B%3A%7D%7D%7D%7D%7D)
![\frac{n}{3} - 5 = 5](https://tex.z-dn.net/?f=%20%5Cfrac%7Bn%7D%7B3%7D%20%20-%205%20%3D%205)
➼ ![\: \frac{n}{3} = 5 + 5](https://tex.z-dn.net/?f=%20%5C%3A%20%20%5Cfrac%7Bn%7D%7B3%7D%20%20%3D%205%20%2B%205)
➼ ![\: \frac{n}{3} = 10](https://tex.z-dn.net/?f=%20%5C%3A%20%20%5Cfrac%7Bn%7D%7B3%7D%20%20%3D%2010)
➼ ![\: n = 10 \times 3](https://tex.z-dn.net/?f=%20%5C%3A%20n%20%3D%2010%20%5Ctimes%203)
➼ ![\: n = 30](https://tex.z-dn.net/?f=%20%5C%3A%20n%20%3D%2030)
Therefore, the value of n is 30.
![\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}](https://tex.z-dn.net/?f=%5Clarge%5Cmathfrak%7B%7B%5Cpmb%7B%5Cunderline%7B%5Cblue%7BTo%5C%3Averify%7D%7D%7B%5Cblue%7B%3A%7D%7D%7D%7D%7D)
![\frac{30}{3} - 5 = 5](https://tex.z-dn.net/?f=%20%5Cfrac%7B30%7D%7B3%7D%20%20-%205%20%3D%205)
✒ ![\: 10 - 5 = 5](https://tex.z-dn.net/?f=%20%5C%3A%2010%20-%205%20%3D%205)
✒ ![\: 5 = 5](https://tex.z-dn.net/?f=%20%5C%3A%205%20%3D%205)
✒ ![\: L.H.S.=R. H. S](https://tex.z-dn.net/?f=%20%5C%3A%20L.H.S.%3DR.%20H.%20S)
Hence verified.
![\bold{ \green{ \star{ \orange{Mystique35}}}}⋆](https://tex.z-dn.net/?f=%5Cbold%7B%20%5Cgreen%7B%20%5Cstar%7B%20%5Corange%7BMystique35%7D%7D%7D%7D%E2%8B%86)
12 would be the only zero if you meant to write the equation as y=(x-12)(3-10)
Answer:
Rational numbers are decimals that can't be turned into fractions and irational numbers are decimal numbers that can be turned into Fraction.
Step-by-step explanation:
Example Pi 3.14 can be 22/7