The number of years value isn't given, we could use an hypothetical value, which can be substituted for the correct number of years given in your exercise in other to find the exact answer.
Using a t value of 10 years
Answer:
651558
Step-by-step explanation:
Given that:
Initial population, P0= 400,000
Growth rate, r = 5%
Using the relation :
P(t) = P0 * (1 + r)^t
t = number of years = 10
P(10) = 400000 * (1 + 0.05)^10
P(10) = 400000 * (1.05)^10
P(10) = 400000 * 1.628894626777
P(10) = 651557.8507
= 651558 nearest whole number.
Recall that, the t value used is hypothetical and should be replaces with te exact value given in your question.
Answer:
x=0
x=-1
x=-5
Step-by-step explanation:
To find the roots, we set the equation equal to zero and factor.
x(x²+6x+5)=0 [factor]
x(x+1)(x+5)=0 [set each factor equal to 0]
x=0
x+1=0 [subtract both sides by 1]
x=-1
x+5=0 [subtract both sides by 5]
x=-5
Now, we have found three roots, x=0, x=-1, x=-5.
Answer:
12m^2 - 9m -30
Step-by-step explanation:
So rewrite the equation to this:
4m * 3m
4m * -6
5 * 3m
5 * -6
Now solve:
4m * 3m = 12m^2
4m * -6 = -24m
5 * 3m = 15m
5 * -6 = -30
Now add them together in order:
12m^2 - 24m + 15m - 30
Simplify -24m and 15m:
12m^2 - 9m -30
Thus
12m^2 - 9m -30 is the answer
Hope this helps!
Answer:
- local minimum at x = -3-2√14
- local maximum at x = -3+2√14
Step-by-step explanation:
The first derivative simplifies to ...
d/dx( ) = -(x^2 +6x -47)/(x^2 -9x +20)^2
This has zeros that can be found by the usual methods of solving quadratics:
x = -3 ±2√14
The positive value of x corresponds to what I might call an "apex." (See the first attachment.) The negative value is where the function turns around an approaches the horizontal asymptote from below. (See the second attachment.)
