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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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<em><u>Please mark as brainliest </u></em>

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8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Ctext%7BSolve%20for%20x%3A%7D%5C%5C%5C%5C3x%20%2B%2065%20%3D%20523%5C%5C%5C%5C%5Ctext%7BThan
Vlad1618 [11]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

{x=152.666....

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

\boxed{\text{Solving for x...}}\\\\3x+ 65= 523\\----------\\\rightarrow 3x + 65 - 65=523-65\\\\\rightarrow 3x = 458\\\\\rightarrow\frac{3x = 458}{3}\\\\\rightarrow  \boxed{x=152.666....}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

7 0
2 years ago
Read 2 more answers
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