Answer:
Step-by-step explanation:
Solution:-
- We are given a logistic growth model of the fish population cultured. The logistic growth of fish population is modeled by the following equation:
Where, c: the constant to be evaluated.
- We are given the initial conditions for the model where at t = 0. The initial population was given to be:
t = 0 , Po = 160
N ( carrying capacity ) = 9100
- After a year, t = 1. The population was tripled from the initial value. That is P ( 1 ) = Po*3 = 160*3 = 480.
- We will use the given logistic model and set P ( 1 ) = 480 and determine the constant ( c ) as follows:
- The complete model can be written as:
<span>0.17708333333 should be the answer.</span>
Answer:
4 years and 2 months
Step-by-step explanation:
<u>Simple interest formula</u>
A = P(1 + rt)
where:
- A = final amount
- P = principal amount
- r = interest rate (in decimal form)
- t = time (in years)
Given:
- A = $500 × 2 = $1,000
- P = $500
- r = 24% = 0.24
Substitute the given values into the formula and solve for t:
Therefore, it takes 4 years and 2 months for the initial investment of $500 to double at a simple interested rate of 24%.
Answer:
Step-by-step explanation:
Answer:
y = 1/2x - 1
Step-by-step explanation:
y2 - y1 / x2 - x1
-2 - 2 / -2 - 6
-4 / -8
= 1/2
y = 1/2x + b
-2 = 1/2(-2) + b
-2 = -1 + b
-1 = b