The range of the function in the context of the problem is D. [0, ∞)
<h3>How to compute the value?</h3>
It should be noted that the range of a function simply means the set of possible values that can be gotten from the function.
From the information, one deposit $500 into a savings account that earns interest annually. The function g(x) = 500(1.06)x can be used to find the amount of money in the savings account.
Therefore, when the number of years is represented by 0, then the value is 0 while on the other hand, it can be infinity depending on the number given.
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Answer:
Oil supply will run out in 44.283 years.
Step-by-step explanation:
There are 1.338 trillion barrels of oil in proven reserves.
If oil consumption is 82.78 million barrels per day then we have to calculate the number of years in which supply of oil runs out.
In this sum we will convert 1.338 million barrels of oil into million barrels first then apply unitary method to calculate the time in which oil supply runs out.
Since 1 trillion =
million
Therefore, 1.338 trillion = 1.338×
million
∵ 82.78 million barrels oil is the consumption of = 1 day
∴ 1 million barrels oil is the consumption of =
day
∴ 1.338×
barrels will be consumed in =
days
= 16163.3245 days
≈
years
≈ 44.283 years
Therefore, oil supply will run out in 44.283 years
The expected value of the game is the mean value of the game
The expected value of the game is $1
<h3>How to determine the expected value?</h3>
There are 13 spades in a deck of card of 52
So, the probability of selecting a spade is:
P(Spade) = 13/52
Simplify
P(Spade) = 1/4
Winning = $7
The probability of not selecting a spade is:
P(Not spade) = 1 - 1/4
Simplify
P(Not spade) = 3/4
Lose = $1
The expected value of the game is:

This gives

Simplify

Evaluate

Hence, the expected value of the game is $1
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