Answer:
a) 
b) The projected population after 6 years is of 103 stray cats.
c) The number of years required for the stray-cat population to reach 700 is 16.64.
Step-by-step explanation:
The population N(t) after t years, following an exponential growth moel, is given by:
In which N(0) is the initial population and r is the growth rate.
In 1999 the town had 35 stray cats, and the relative growth rate was 18% per year.
This means that 
(a) Find the function that models the stray-cat population n(t) after t years.
(b) Find the projected population after 6 years.
This is N(6).
The projected population after 6 years is of 103 stray cats.
(c) Find the number of years required for the stray-cat population to reach 700.
This is t for which N(t) = 700. So
The number of years required for the stray-cat population to reach 700 is 16.64.
Answer:
y = 
Step-by-step explanation:
For an exponential of the form y = a
Use the given points to find a and b
Using (3, 1 ), then
1 = ab³ → (1)
Using (5, 4 ), then
4 = a
→ (2)
Divide (2) by (1)
= 4
b² = 4 ⇒ b = 
= 2
Substitute b = 2 into (1)
a2³ = 1
8a = 1 ( divide both sides by 8 )
a =
Thus exponential function is
y =
The answer to your question is, p = 22
<h3>Answer: 800</h3>
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How I got that answer:
Create a two-way table showing the breakdown of students who like or dislike either vegetable. This is shown in the attached image below. Anywhere there is a letter indicates we aren't able to determine that value. Luckily we dont need to know those values to answer the question.
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Let's say we had 3000 students. I picked some large number that is a multiple of 3. That way when we multiply by 2/3, we get a whole number.
Take 2/3 of 3000 and you should get 2000. So there are 2000 students who dislike lima beans. Write "2000" at the end of the "dislike lima beans" row which is where the total is. Above that we'll have 1000 people who like lima beans, but we dont need to use this value.
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Of those 2000 students, 3/5 of them also dont like sprouts either. So (3/5)*2000 = 0.6*2000 = 1200 students do not like both veggies. Furthermore, 2000 - 1200 = 800 like sprouts but dont like lima beans.
Alternatively, 2/5 of the 2000 students like sprouts but dont like lima beans, so (2/5)*2000 = 0.4*2000 = 800.
Split this figure into 3 shapes: 2 triangles and 1 trapezoid
Area of top triangle = 1/2(7)(2) = 7 square units
Area of bottom triangle = 1/2(3)(7) = 10.5 square units
Area of trapezoid = 1/2(3 + 6)(4) = 18 square units
Area of the polygon = 7 + 10.5 + 18 = 35.5 square units
