Answer:
see explanation
Step-by-step explanation:
(a)
Since lines AB and CD are parallel then their slopes are equal
y = - 
x + 14 is in slope- intercept form ( y = mx + c )
with slope m = -
Hence slope of CD = -
D is the point (0, 7) ⇒ c = 7
y = - x + 7 ← equation of CD
(b)
to find the x- intercept let y = 0, in the equation and solve for x
- x + 7 = 0 ( multiply through by 2 )
- x + 14 = 0 ⇒ - x = - 14 ⇒ x = 14 ← x- intercept of CD
Answer:
A)$200
Step-by-step explanation:
In this problem, we first need to find how much the total cost of the first 2 years in college will be. Since the tuition fee and fess for each year of college will cost $8,800, then we need to multiple that value by the number of years the student wants to pay for.
$8,800 x 2 = $17,600
The student will need a total of $17,600 to pay for the first 2 years of college.
The table shows that at a monthly deposit of $200, the students account value will be at $18,737. With the minimal amount of $200 deposited each month for the next 5 years, the student will have more than enough to pay for the first 2 years of college.
Answer:
Expected value of raffle = $-0.67
Step-by-step explanation:
Number of tickets sold = 5,000
Selling price of each ticket = $1
1 prize = $500
3 prizes = $300
5 prize = $30
20 prizes = $5
The value of each ticket is given by
value = $500*(1/5000) + $300*(3/5000) + $30*(5/5000 + $5*(20/5000)
value = $0.1 + $0.18 + $0.03 + $0.02
value = $0.33
The expected value is
Expected value = value - selling price
Expected value = $0.33 - $1
Expected value = -$0.67
Therefore, the expected value of this raffle is -$0.67 if you buy 1 ticket.
The negative sign means that you are most likely to lose $0.67 if you buy a raffle ticket for $1.
Answer:
p=2
Step-by-step explanation:
14-8=6
3p=6
6/3=2
p=2
X=k*Y
K*Y=X
K=X/Y
K=20/5
K=4
For Y=3/2
X=k*3/2
X=4*3/2
X=6
