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.
Answer:
7.25 and 10.75 Hours
Step-by-step explanation:
Total hours Nalia and Lisa worked = 18 Hours
Nalia worked 3.5 hours then Lisa which is 
hours
⇒
Lisa has worked for 7.25 hours
Nalia has worked for = 7.25 + 3.5 = 10.75 hours
Factor ||5||−||−5||−(−5)|5|-|-5|-(-5) = 25 =5² ( 2 prime factors, 1 distinct)
Divisors = 1,3,25 (3 divesors)
Answer:
109
Step-by-step explanation:
Formula
<ZHG + <IHZ = <IHG
Givens
<ZHF = 11x - 1
<IHZ = 24
<IHG = 12x + 13
Solution
11x - 1 + 24 = 12x + 13 Combine terms on the left
11x + 23 = 12x + 13 Subtract 13 from both sides
<u> - 13 - 13 </u>
11x + 10 = 12x Subtract 11x from both sides
<u>-11x -11x</u>
10 = x
Answer
11x - 1 = 11*10 - 1 = 110 - 1 = 109
The answer is 3,600
6(245) + 15(142)
