Step-by-step explanation:
Answer:
Step-by-step explanation:
Given :
add 2 to both sides
Therefore :
Answer:
D. (-1, 0) and (0, -6)
Step-by-step explanation:
The system of equations:
y = -6x - 6
y = x² - 5x - 6
We equate the two equations;
-6x - 6 = x² - 5x - 6
x² + x + 0 = 0
x² + x = 0
x(x + 1) = 0
So, x = 0 or -1
When x = 0,
Then y = -6(0) - 6 = -6
When x = -1,
Then y = -6(-1) - 6 = 6 - 6 = 0
So the answer is: (0, -6) and (-1, 0)
Probability is the likelihood or chance that an event will occur. The probability of P(AUB) is 1/2
<h3>Conditional probability</h3>
Probability is the likelihood or chance that an event will occur. Given the following parameters
If P(A) = 1/6
P(B) = 5/12
P(A\B) + P(B\A) = 7/10
Required
p(AUB)
Recall that:
P(A|B)=P(AnB)/P(B)
P(B|A) = P(BnA)/P(A)
P(AnB)/P(B) + P(BnA)/P(A) = 7/10
12/5P(AnB) + 6P(BnA) = 7/10
42/5P(BnA) = 7/10
6/5P(BnA) = 1/10
6P(BnA) = 1/2
P(BnA) = 1/12
<u>Determine P(AUB)</u>
P(AUB) = P(A) + P(B) - P(AnB)
P(AUB) = 1/6 + 5/12 - 1/12
P(AUB) = 1/6 + 4/12
P(AUB) = 2+4/12
P(AUB) = 1/2
Hence the probability of P(AUB) is 1/2
Learn more on probability here: brainly.com/question/24756209
Answer:
$90,962.66
Step-by-step explanation:
The formula for this is, where V = amount after t years:
V = P(1 + r/n)^nt where P is the amount invested, r = the rate as a decimal fraction, n is the number of times interest compounded each year and t = the number of years.
Here, V = 340,000, r = 0.07, n = 4 , t = 19 and P is to be found.
340,000 = P(1 + 0.07/4)^(4*19)
340,000 = P( 1.0175)^76
P = 340,000 / (1.0175^76)
P = $90,962.66