Answer:
Step-by-step explanation:
(2 spreadsheets, 3 databases and 4 presentations,
As not mentioned other wise equal chances of all the outcomes is assumed so, by the classical definition of probability,
P(The chosen item is a odd numbered database)
=
Part A
Purchase Value of Anna's Car in 2015 = $36,000
Depreciated Value of Anna's Car in 2017 = $25,000
We know that the value of the car is depreciating linearly.
From the above data, we can see that the value of the car has reduced by $36,000-$25,000 = $11,000 over 2 years.
⇒ Per year the value has been depreciated by
⇒ Per year the value has been depreciated by $5,500
So if the value of a car in 2015 is V₀ then value of the car after t years can be determined by the below function:
V (t) = V₀ - (t*5,500), where t indicates the years passed since 2015
OR V (t) = 36,000 - (t*5,500), where t indicates the years passed since 2015
Part B
Suggested value of Anna's car for trade in option in 2018 = $15,000
In 2018, 3 years would have been passed since 2015. Using the value of t = 3 in the function determined in Part A:
V(3) = V₀ - (3*5,500)
⇒ V(3) = 36,000 - (16,500)
⇒ V(3) = $19,000
From the above calculations, we can see that the value of the car in 2018 should be $19,000, however the suggested value for trade in is indicated as $15,000 which is lower than what the value of the car should be. Hence, basis linear depreciation, the $15,000 value is not fair for the car in 2018.
Answer:
x =
Step-by-step explanation:
Given function;
y = 5 + x - x²
To find the maximum value, follow these steps
(i) Find the first derivative (which is the slope) of the given function with respect to x. i.e;
=
=
=
(ii) From the result in (i) determine the value of x for which the slope is zero. i.e.
x for which
1 - 2x = 0
=> 1 = 2x
=> x =
Therefore, the value of x for which the function is maximum is