The second you drive a new car off the lot, it begins to depreciate (lose value) at a rate of 16%. Assuming you bought a brand new car valued at $58,000... a. ... if you went to trade the car in after 5 years (with no damage other than age), what is the value of the car if the depreciation was compounded annually?
b. ... if you went to trade the car in after 5 years (with no damage other than age), what is the value of the car if the depreciation was compounded continuously?
c. After how many years--correct to the nearest hundredth of a year--is the car's value $10,000 if the depreciation occurs annually?
d. After how many years--correct to the nearest hundredth of a year--is the car's value $10,000 if the depreciation occurs continuously?