Depreciation A car sells for $30,000. The car depreciates such that each year it is worth 4 5 of its value from the previous year. Find a model for the value V of the car after t years. Sketch a graph of the model and determine the value of the car 5 years after it is purchased. | bartleby
Depreciation A car sells for $30,000. The car depreciates such that each year it is worth 4 5 of its value from the previous year. Find a model for the value V of the car after t years. Sketch a graph of the model and determine the value of the car 5 years after it is purchased.
To calculate: The model for the value V and the price of a car after 5 years of purchase and also sketch the graph of the model, if the selling price of car is $30,000 and the value depreciates in such a way that each passing year its worth is 45 of value from the previous year.
The selling price of car is $30,000 and the value depreciates in such a way that each passing year its worth is 45 of its value from the previous year.
The selling price of car is $30,000 and the value depreciates in such a way that each passing year its worth is 45 of value from the previous year.
So, the model is given by V(t)=30,000(45)t.
Substitute t=1 in the function V(t)=30,000(45)t,
V(1)=30,000(45)1=24,000
Substitute t=2 in the function V(t)=30,000(45)t,
V(2)=30,000(45)2=19,200
Substitute t=3 in the function V(t)=30,000(45)t,
V(3)=30,000(45)3=15,360
Substitute t=4 in the function V(t)=30,000(45)t,
V(4)=30,<
Depreciation A car sells for $30,000. The car depreciates such that each year it is worth 4 5 of its value from the previous year. Find a model for the value V of the car after t years. Sketch a graph of the model and determine the value of the car 5 years after it is purchased. | bartleby
Depreciation A car sells for $30,000. The car depreciates such that each year it is worth 4 5 of its value from the previous year. Find a model for the value V of the car after t years. Sketch a graph of the model and determine the value of the car 5 years after it is purchased.
To calculate: The model for the value V and the price of a car after 5 years of purchase and also sketch the graph of the model, if the selling price of car is $30,0
00 and the value depreciates in such a way that each passing year its worth is 45 of value from the previous year.
The selling price of car is $30,000 and the value depreciates in such a way that each passing year its worth is 45 of its value from the previous year.
The selling price of car is $30,000 and the value depreciates in such a way that each passing year its worth is 45 of value from the previous year.
So, the model is given by V(t)=30,000(45)t.
Substitute t=1 in the function V(t)=30,000(45)t,
V(1)=30,000(45)1=24,000
Substitute t=2 in the function V(t)=30,000(45)t,
V(2)=30,000(45)2=19,200
Substitute t=3 in the function V(t)=30,000(45)t,
V(3)=30,000(45)3=15,360
Substitute t=4 in the function V(t)=30,000(45)t,
V(4)=30,<