Answer:
35
Step-by-step explanation:
40-5=35
35 is left over so it is yout leftover change or money
Answer:
y=1.2x-6
Step-by-step explanation:
place in the points
0=1.2(5)+b
distrubutive property
0=6+b
subtract 6 on both sides
-6=b
y=1.2x-6
24 1/2. 0.5 is equal to 1/2
Answer:
(a). 15
(b). 78
Step-by-step explanation:
Growth of the population of a fruit fly is modeled by
N(t) = ![\frac{600}{1+39e^{-0.16t} }](https://tex.z-dn.net/?f=%5Cfrac%7B600%7D%7B1%2B39e%5E%7B-0.16t%7D%20%7D)
where t = number of days from the beginning of the experiment.
(a). For t = 0 [Initial population]
N(0) = ![\frac{600}{1+39e^{-0.16\times 0} }](https://tex.z-dn.net/?f=%5Cfrac%7B600%7D%7B1%2B39e%5E%7B-0.16%5Ctimes%200%7D%20%7D)
= ![\frac{600}{1+39}](https://tex.z-dn.net/?f=%5Cfrac%7B600%7D%7B1%2B39%7D)
= ![\frac{600}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B600%7D%7B40%7D)
= 15
Initial population of the fruit flies were 15.
(b).Population of the fruit fly colony on 11th day.
N(11) = ![\frac{600}{1+39e^{-0.16\times 11} }](https://tex.z-dn.net/?f=%5Cfrac%7B600%7D%7B1%2B39e%5E%7B-0.16%5Ctimes%2011%7D%20%7D)
= ![\frac{600}{1+39e^{-1.76} }](https://tex.z-dn.net/?f=%5Cfrac%7B600%7D%7B1%2B39e%5E%7B-1.76%7D%20%7D)
= ![\frac{600}{1+39\times 0.172 }](https://tex.z-dn.net/?f=%5Cfrac%7B600%7D%7B1%2B39%5Ctimes%200.172%20%7D)
= ![\frac{600}{1+6.71}](https://tex.z-dn.net/?f=%5Cfrac%7B600%7D%7B1%2B6.71%7D)
= ![\frac{600}{7.71}](https://tex.z-dn.net/?f=%5Cfrac%7B600%7D%7B7.71%7D)
= 77.82
≈ 78
On 11th day number of fruit flies colony were 78.