Tristan purchased a new car in 2000 for $22,800. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $10,400 in the year 2006, then what would be the predicted value of the car in the year 2016, to the nearest dollar?

Cost of the car in year 2016 will be $2811.

Step-by-step explanation:

Cost price of the car = $22800

Value of the car has been depreciating exponentially, so the formula for value   of the car after t years,

Here P(t) = Final value after t years

A = Cost price or initial value

r = rate of depreciation

t = duration in years

0.87737 =

r = 100(1 - 0.87737)

r = 12.26%

Now cost of the car in year 2016 (After 16 years)

P(16) =

        =

        = 2810.99

        = $2811

Therefore, cost of the car in year 2016 will be $2811.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.