Answer:
X=2, AB=14, DC=14
Step-by-step explanation:
3x+8=x+12
Subtract x from both sides
2x+8=12
Subtract 8 from both sides
2x=4
Divide by 2 on the sides
Answer: x=2
Then replace the x's with (2) and multiply
3(2)+8 and (2)+12
The focus is (0,1) and the directix is y=-1
Answer:
P = $6923
Step-by-step explanation:
The simple interest formula is given by
1) I = principal *interest rate * time period
where I is the interest
The amount due after the time period is given by:
2) T = principal + I
After three months, you have $9.000, so T = 9000. The present value P is the principal. We have that:
9000 = P + I
I = 9000 - P
In our problem, we have that the time period is 3 months and out interest rate is 10%.
Replacing in 1)
9000 - P = P*0,1*3
9000 = 0.3P + P
1.3P = 9000
P = $6923
So the present value P is $6923
Answer:
1.25% widgets from factory A fail.
Step-by-step explanation:
Probability of widgets that fail = 0.05
Probability of failing widget to belong from factory A = 0.25
Probability of failing widget to belong from factory B = 0.35
Probability of failing widget to belong from factory C = 0.40
Probability of factory A widgets failing = Probability of widgets failing * probability they belonged from factory A
Probability of factory A widgets failing = 0.05 * 0.25 = 0.0125
This probability stated as percentage: 1.25%
Answer:
C. All real numbers
Step-by-step explanation: