21.6 ÷ 0.4 = 54 times for green
21.6 ÷ 0.6 = 36 times for purple
Together, 90 beads. Separately, 54 green and 36 purple.
Lets say that Williams current age is x, since it is currently unknown
From here we know that in 15 years (x+15) he will be 3 times his age 5 years prior (3x-5). Thus we can set these equations up as equal to one another
1) x + 15 = 3(x - 5)
2) x + 15 = 3x-15
3) 30= 2x
4) 15 = x
5) Now this age is his current age of 15 years, but they also want his age 15 years from now
The equation is x + 15 = 3(x - 5)
This should be correct now, sorry for the misconception. Good luck
Answer:
a. The population does not become extinct in finite time.
Step-by-step explanation:
The model for the population of the fishery is

If we rearrange and replace the constants we have:

Now we can calculate if the population become 0 in any finite time

To be a finite time, t>0

We can conclude that the only finite time in which P=0 is when the initial population is 0.
Because P0 is a positive constant, we can say that the population does not become extint in finite time.
Answer:
a) 
b)
c)
where
= number ties finished per unit time
d) t≅8.24min
e) K=109tie
J=91tie
f) K≅16.6min
J≅9.09min
Step-by-step explanation:
Data

Kara begins ten minutes before julie, so when julie joins kara she has 60 ties
t=10 
a) 
b)
c)
where
= number ties finished per unit time
d) if kara already has 60 ties and makes 6 per minute and Julie makes 11 per minute then per minute they makes 17 ties, so one minute per 17 ties for 200 ties ¿how long?.
≅8.24min
e) K=60tie+6tie/min*8.24min=109tie
J=11tie/min*8.24min=91tie
f) K=100tie*min/6tie≅16.6min
J=100tie*min/11tie≅9.09min
Note: the amount of ties were rounded to the nearest decimal