Answer: 1. y=2/3x+4
2. y=-4x-7
3. y=3x-5
4. y= -5/4x + 2
Hope I helped! :)
Step-by-step explanation:
<h3>
Answer: 12,201.90 dollars</h3>
You may need to delete the comma if you are entering this result into a computer system.
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Work Shown:
P = 10,000 = deposit
r = 0.04 = decimal form of 4% interest rate
n = 4 = we're compounding 4 times a year
t = 5 years
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A = P*(1+r/n)^(n*t) .... compound interest formula
A = 10,000*(1+0.04/4)^(4*5)
A = 12,201.9003994797
A = 12,201.90
After 5 years, there is $12,201.90 in the account.
This is assuming you do not deposit any more money, and it also assumes that you don't take any money out during the 5 year timespan either.
Approximately 65% of the distribution lies within one standard deviation of the mean, which is to say,
P(72 ≤ x ≤ 86) ≈ 0.65
Normal distributions are symmetric, so the percentage of values one standard deviation below the mean is equal to the percentage of values one standard deviation above the mean.
P(72 ≤ x ≤ 79) = P(79 ≤ x ≤ 86)
but since the sum of these make up P(72 ≤ x ≤ 86), we find
P(72 ≤ x ≤ 79) ≈ 0.65/2 = 0.325
Also due to symmetry, exactly half of the distribution lies to either side of the mean; namely,
P(x ≥ 79) = 0.5
It follows that
P(x ≥ 72) = P(72 ≤ x ≤ 79) + P(79 ≤ x)
P(x ≥ 72) = 0.325 + 0.5
P(x ≥ 72) = 0.825 ≈ 0.84
To determine the maxima and minima of the polynomial, differentiate the given based on x and equate to 0.
C(x) = 400x - 0.2x²
dC(x) / dt = 400 - 0.4 x = 0
The value of x is 1000. This is the value of the maxima. As the value of C(x) continously becomes lesser as the value of x is set higher, the minima is not identified. Substitute x to the original equation,
C(x) = (400)(1000) - 0.2(1000²) = $ 200,000
Thus, the answer is letter B.
Answer:
4920 words in 1 hour
Step-by-step explanation:
164 words/2 minutes x 30 minutes= 4920 words in 1 hour
