Answer:
Step-by-step explanation:
Given that a contestants have a chance to increase their current winnings of $1 million to $2 million.
Also given that They have a 50% chance of winning. should they play
Thus we have 0.50 chance of getting additional 1 million or
0.50 chance of getting nothing.
Expected value of the gain by playing
=
Since expected value is positive, they can play and try.
The value of x such that f(x) = g(x) is x = 3
<h3>Quadratic equation</h3>
Given the following expressions as shown
f(x) = x^3-3x^2+2 and;
g(x) = x^2 -6x+11
Equate the expressions
x^3-3x^2+2 = x^2 -6x+11
Equate to zero
x^3-3x^2-x^2+2-11 = 0
x^3-3x^2-x^2 + 6x - 9 = 0
x^3-4x^2+6x-9 = 0
Factorize
On factorizing the value of x = 3
Hence the value of x such that f(x) = g(x) is x = 3
Learn more on polynomial here: brainly.com/question/2833285
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The amount Howie need to pay back at the end of one year, including the interest is $26,000
Given:
Interest rate = 4%
Cost of car = $25,000
Time = 1 year
<em>Amount of interest</em> = Principal × Rate × Time
= 25,000 × 4% × 1
= 25,000 × 0.04 × 1
= $1,000
<em>Amount to be paid </em>= Amount of interest + Cost of car
= 1,000 + 25,000
= $26,000
Therefore, the amount Howie need to pay back at the end of one year, including the interest is $26,000
Learn more about interest rate:
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Answer:
Your answer is 909.39 feet
Step-by-step explanation: