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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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Answer:

Ella has the greatest return in the current year.

Step-by-step explanation:

Debby would receive $0.80 for each of her 2000 common stock in the oil company,hence Debby's return on investment in the current year is $1600($0.80*2000)

Besides,Ella's return on the stock investment in the current year is computed thus:

Ella's return= 5%*1000*$50=$2,500

In addition,Unique's dollar return on the investment is computed as follows:

Unique's return on  investment=4%*2000*$20=$1,600

From the above computations,Ella seems to have the highest return in the current year of $2,500 whereas the two others managed to have $1600 return each

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2 years ago
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Vladimir79 [104]
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7 0
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Step-by-step explanation:

Let the smaller number be x

Let the bigger number be x+2

The information given in the question can be represented in a equation as:

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