The value of your father’s car when bought was $30,000. If it loses 10% of its value every year, how long until the vehicle is only worth $20,000?

6.7

Step-by-step explanation:

10% of 30000

10/100 x 30000

0.10 x 30000

=3000

In order to find how long you have to divide 20k with 3k

20000/3000 = 6.66666667

Round it up and you get 6.7

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.