Answer:
P = 6200 / (1 + 5.2e^(0.0013t))
increases the fastest
Step-by-step explanation:
dP/dt = 0.0013 P (1 − P/6200)
Separate the variables.
dP / [P (1 − P/6200)] = 0.0013 dt
Multiply the left side by 6200 / 6200.
6200 dP / [P (6200 − P)] = 0.0013 dt
Factor P from the denominator.
6200 dP / [P² (6200/P − 1)] = 0.0013 dt
(6200/P²) dP / (6200/P − 1) = 0.0013 dt
Integrate.
ln│6200/P − 1│= 0.0013t + C
Solve for P.
6200/P − 1 = Ce^(0.0013t)
6200/P = 1 + Ce^(0.0013t)
P = 6200 / (1 + Ce^(0.0013t))
At t = 0, P = 1000.
1000 = 6200 / (1 + C)
1 + C = 6.2
C = 5.2
P = 6200 / (1 + 5.2e^(0.0013t))
You need to change the exponent from negative to positive.
The inflection points are where the population increases the fastest.
<h2>
x = - 6 or, 1</h2>
Step-by-step explanation:
The given quadratic equation:
By factorisation mmethod,
⇒ x(x + 6) - 1(x + 6) = 0
⇒ (x + 6)(x - 1) = 0
⇒ x + 6 = 0 or, x - 1 = 0
⇒ x + 6 = 0 ⇒ x = - 6
⇒ x - 1 = 0 ⇒ x = 1
∴ x = - 6 or, 1
Answer:
The answer to this question is A
Step-by-step explanation:
Answer:
Rate of depreciation = 27%
Step-by-step explanation:
Given:
Purchase price = $32,650
Rate in 2020 = $23,834.50
Find:
Rate of depreciation
Computation:
Depreciation = Purchase price - Rate in 2020
Depreciation = $32,650 - 23,834.50
Depreciation = $8,815.5
Rate of depreciation = [8,815.5 / 32650] 100
Rate of depreciation = 27%
Answer:
8={8,16,24,32,40}
6={6,12,18,24,33}
so the least common multiple is 24