Answer:
This is the concept of application of exponential growth, suppose in 1990 time,t=0 and in 1990 time,t=9. Using the exponential growth formula given by:
f(t)=ae^(kt)
thus substituting the value we get:
40=37e^(9k)
this can be written as:
(40/37)=e^(9k)
introducing the natural logs we get:
ln(40/37)=9k
hence;
k=1/9ln(40/37)=0.0087
Therefore our formual will be given by:
f(t)=37e^(0.0087t)
N/B: The population is in millions. Thus to get the population in 2016 we shall proceed as follows;
t=26
thus
f(t)=37e^(26*0.0087)
f(t)=46.35 million
Step-by-step explanation:
Answer: Yes and it could be greater than 5 but it has to be greater than 4
:
Search Results<span>Let L denote the line of intersection. Then v = a × b = (1 − 1,−(−2 − 1),2 − (−1)) = (0,3,3) is parallel to L. We only need to find a point P on L. To find P, solved the system of equations of the planes: 2x − y + z = 5 and x + y − z = 1. We consider P to be the point of L on the plane z = 0.</span>
Answer:
(6,0)
Step-by-step explanation:
I suspect the width is 7x^2 (please double-check).
If that's the case,
the length of the pool is
L=(7x^3-42x^2)/(7x^2)
=7x^3/(7x^2)-42x^2/(7x^2)
=x-6