Let t=number of years since 1991.
Then
P(t)=147 e^(kt) ... in millions
P(0)=147 e^(0)=147
P(7)=147 e^(7k)=153
e^(7k)=(153/147)
take ln both sides
ln(e^(7k))=ln(153/147)
7k=0.0400 => k=0.005715
Year 2017=>t=2017-1991=26
P(26)=147e^(26*.005715)=170.55
Answer: in 2017, the projected population is 170.55 millions.
Answer: The equation for line b is 
The equation for line t is 
The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.
Step-by-step explanation: Use slope intercept form, y = mx + b
The given coordinate, (0,5) is on the y-axis, so 5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"
To write the equation for line t
Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.
So invert 3/4 to become 4/3 and change the negative sign to positive.
The resulting equation is y = 4x/3 + 5
Answer:
13
Step-by-step explanation:
You know this is just a formula, right?
I actually don't have enough information to complete this question but if you have a positive slope the line goes either up and right or down and left but when it is negative it goes down left or up right.