Answer:
2 sessions, $231
Step-by-step explanation:
Make an equation (let x represent the number of sessions)
59+86x=63+84x
Subtract 84x from both sides
59+2x=63
Subtract 59 from both sides
2x=4
Divide by 2
x=2
At 2 sessions they will be equal
To find the cost, substitute 2 in for x
59+86(2)=63+84(2)
59+172=63+168
231=231
So, at 2 sessions the plans will cost the same at $231
Hope this helps! :)
Hi there
First find the rate of growth between
1992 and 1998
The formula is
P=Ae^rt
P the population in 1998. (76 million)
A the population in 1992 (72 million)
E constant
R rate of growth?
T time 1,998−1,992=6 years
We need to solve for r
R=[log (p/A)÷log (e)]÷t
R=(log(76÷72)÷log(e))÷6
R=0.009
Now find the population in 2012
P=Ae^rt
P ?
A 72 million
R 0.009
T 2,012−1,992=20 years
So
P=72×e^(0.009×20)
P=86.2 round your answer to get
P=86 million
Good luck!
Answer:
Perpendicular
Step-by-step explanation:
Given points P=(2,6) and Q=(4,5)
The line RS is y=2x-3.
Now we know that the line joining any two points (x1,y1) and (x2,y2) has slope m=
Now the slope of the line PQ is
m1=
= -
We know that the slope of the line in the form y=mx+c is m
So the line RS has slope m2=2
Now two lines are parallel if m1=m2
And those two lines are perpendicular if 
here m1= - and m2=2
clearly
Therefore the two given lines are perpendicular
The best thing to do us to find the difference between $150 and $100. The difference is $50. You've then got to divide $150/$50 and thus gives you 3.333, therefore, the percentage decrease is 33%
Hope this helps :)
