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Kruka [31]
3 years ago
5

A nest of ants has been growing exponentially in such a way that its population, P, as a function of w weeks is given by P(w)=24

, 000(1.063)^w
Matthew claims that the population of ants is growing at a rate of 0.9% per day. Explain why Matthew’s claim is too high of a rate.
Mathematics
1 answer:
Hunter-Best [27]3 years ago
8 0

Answer:

0.9%

Step-by-step explanation:

Given that:

A nest of ant is represented by the exponential growth function :

P(w)=24,000(1.063)^w

Where w = number of weeks

Recall :

Growth function is generally represented as :

P(t) = A(1 + r)^t

Where ; A is the initial population figure; r = growth rate and t = time

Hence, the growth rate per week of the function given is :

(1 + r) = 1.063

r = 1.063 - 1

r = 0.063

Number of days in a week = 7

Hence, growth rate per day = r /7

0.063 / 7

= 0.009

(0.009 * 100%) = 0.9%

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The school hall is 4 times as long as it is wide. If the perimeter is 55m, what is the length? and what is the width?
12345 [234]
-- The width of the school is ' W '.  We don't know what that is yet,
but we're going to find out.

-- We're told that the length is 4 times as much.  So the length is ' 4 W '.

-- Perimeter is (2 widths) + (2 lengths).

2 widths = 2 W
2 lengths = 8 W
Perimeter = 10 W

-- We're also told that the perimeter is 55m.  That's just what we need.

10 W = 55 m

Divide each side of this equation by 10:

W = 5.5 m

There's the width !
The length of the hall is 4 times as much.

Length = 4 W = 22 m


6 0
3 years ago
Jason can travel 24 3/4 miles is 1/2 hour. what is his average speed in miles per hour?
nydimaria [60]
49 1/2 miles per hour
6 0
3 years ago
2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The
mezya [45]

The region(s) represent the intersection of Set A and Set B (A∩B) is region II

<h3>How to determine which region(s) represent the intersection of Set A and Set B (A∩B)?</h3>

The complete question is added as an attachment

The universal set is given as:

Set U

While the subsets are:

  • Set A
  • Set B

The intersection of set A and set B is the region that is common in set A and set B

From the attached figure, we have  the region that is common in set A and set B to be region II

This means that

The intersection of set A and set B is the region II

Hence, the region(s) represent the intersection of Set A and Set B (A∩B) is region II

Read more about sets at:

brainly.com/question/24713052

#SPJ1

8 0
1 year ago
Which ratio is proportionate to 9/3​
Helga [31]

Answer:

3/1

simplify 9/3

3/1 is the answer

7 0
3 years ago
Can someone help me with this
V125BC [204]

Answer:  Period = 4

               Amplitude = 3

<u>Step-by-step explanation:</u>

Period is the interval of one "cycle" before the pattern repeats.

If you notice that when x = 0, y = -4.  

When does the pattern repeat (reach -4 again)?

Answer: when x = 4.

So the interval of one "cycle" is 4 units -->  Period = 4.

Amplitude=\dfrac{Max-Min}{2}=\dfrac{2-(-4)}{2}=\dfrac{6}{2}=\bold{\large\boxed{3}}

7 0
3 years ago
Read 2 more answers
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