Thomas purchased a used vehicle that depreciates under a straight-line
1 answer:
Option B:
$1300
Solution:
Given initial value = $7000, salvage value = %500, time = 5 years
Let the value of the vehicle be described by the equation
V = a + bx – – – – – (1)
where x = number of years since purchase, a and b are constants.
When x = 0, V = $7000
a + b × 0 = 7000
⇒ a + 0 =7000
⇒ a = 7000
When x = 5, V = $500. Therefore
7000 + 5b = 500
5b = 500 – 7000
5b = –6500
The equation is
V = 7000 – 1300x
The slope of this equation is the depreciation rate.
Here slope is 1300.
Option B is the correct answer.
Hence $1300 depreciation per year.
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Here is the complete question.
1). What are the odds for rolling a sum of 5 in a single roll of two fair dice?
2). If you bet $1 that a sum of 5 will turn up, what should the house pay (plus returning your $1 bet) if a sum of 5 turns up in order for the game to be fair?
Answer:
1).
2). $8.
Step-by-step explanation:
1).
The sample space (S) for rolling two fair dice is given as the following parameters illustrated below:
Let F represent the event that the sum of both dice turns up is 5.
F = [(1,4),(2,3),(3,2),(4,1)}
∴ The probability for an event F is illustrated below as:
=
2). From above, we can see that the probability for rolling a sum of 5 are 1 to 8. Therefore, if you roll a sum of 5, in order for the game to be fair, the house is required to pay $8.