Answer:
D. 75m = 50(12)+125(m-12)
Step-by-step explanation:
m = months.
Equation for which Plans A and B cost the same.
In Plan A:
No initial fees.
$75 per month
1 month = $ 75
then;
for m month =$75 m
Total cost for plan A = 75m
In Plan B:
$50 per month for first 12 month.
1 month = $50
12 months = 50(12)
Similarly,
$125 per month for each additional month after that.
additional month= (m-12)
Plan B additional month
= 125(m-12)
Total cost for plan B = 50(12)+ 125(m-12)
Since, Plans A and B cost the same.
75m = 50(12)+125(m-12)
This congruency thing is all about corresponding sides and angles. In quadrilateral BCDE and OPQR, DE and QR are in corresponding positions. You don't even have to draw them out to see that. Just like you can say that angle B and angle O are corresponding, and side BC is corresponding to side OP. Match them up; that's all there is to it!
Answer:
r > -12
Step-by-step explanation:
Subtracting 5 from both sides of this inequality yields
r / -6 < 2
Multiplying both sides by -6 requires changing the direction of the inequality sign:
r > -12 This is the "solution set."
Answer: The required probability is 0.82.
Step-by-step explanation:
Since we have given that
Number of projects = 3
So, probability of getting each project = 
Probability of first path being completed in 43 days = 0.7
Probability of second path being completed in 43 days = 0.85
Probability of third path being completed in 43 days = 0.90
So, Probability that the project will be completed on time would be

Hence, the required probability is 0.82.