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Sphinxa [80]
3 years ago
10

A herd of cattle started with a population of 10,000 and was 20,000 after 10 years. If the population was growing exponentially,

what was the growth rate?
Mathematics
1 answer:
kompoz [17]3 years ago
4 0

Answer:

The growth rate is 7.2%

Step-by-step explanation:

First thing we need to do here is to set up an exponential equation;

This can be written as follows;

F = I(1 + r)^t

where F is the future value = 20,000

I is the initial value = 10,000

r is the rate in percent which we want to calculate

t is time in years = 10 years

Substituting the values in the question into the exponential equation, we have;

20,000 = 10,000(1 + r)^10

divide both side by 10,000

2 = (1+r)^10

Find the 10th root of both sides

1+ r = 2^(1/10)

1 + r = 1.07177346254

r = 1.07177346254-1 = 0.07177346253

Let’s approximate r as 0.072

Now this to percentage?

That would be 72/1000 * 100% = 7.2%

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One Friday night, two large groups of people called Weston Taxi Service. The first group requested 2 sedans and 1 minivan, which
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Answer:

Sedan: 4 passengers

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Step-by-step explanation:

We can write the following system of equations:

\begin{cases}2s+1m=14 \\2s+2m=20\end{cases}, where s represents the number of people a sedan can seat and m represents the number of people a minivan can seat.

Subtracting the first equation from the second, we have:

2s+2m-(2s+1m)=20-14,\\\\m=6

Now plug in m=6 in any of the equations to solve for s:

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Verify that the solution pair (4, 6) works:

2(4)+1(6)=14\: \checkmark \\2(4)+2(6)=20 \: \checkmark

Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.

4 0
3 years ago
Your firm has a price of ​$5​, an average total cost of ​$7​, and an average variable cost of ​$4. In the short​ run, you should
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Answer:

Step-by-step explanation:

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Factor completely 5c5 + 60c4 + 180c3.
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3 years ago
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