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crimeas [40]
3 years ago
6

The table below shows the percentage of households that own a microwave in different countries. Construct a stem-and-leaf plot o

f the data.Country Percent Of Household With Microwave Ovens.
Argentina 97%
_____________________________________________________________
Belgium 93%
_____________________________________________________________
Canada 69%
_____________________________________________________________
Denmark 95%
______________________________________________________________
France 88%
______________________________________________________________
Germany 94%
______________________________________________________________
Greece 64%
_______________________________________________________________
Ireland 92%
________________________________________________________________
Italy 88%
________________________________________________________________
Jordan 99%
________________________________________________________________
Switzerland 91%
________________________________________________________________
United States 97%

i should be right it should be:
9| 1 2 3 4 5 7 7 9
Mathematics
1 answer:
S_A_V [24]3 years ago
5 0
Ya then 8 |8 8
then 6 |4 9
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1. The number of rabbits on an island is increasing exponentially.
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<em>There are approximately 114 rabbits in the year 10</em>

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<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

P=P_o(1+r)^t

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We are given two measurements of the population of rabbits on an island.

In year 1, there are 50 rabbits. This is the point (1,50)

In year 5, there are 72 rabbits. This is the point (5,72)

Substituting in the general model, we have:

50=P_o(1+r)^1

50=P_o(1+r)\qquad\qquad[1]

72=P_o(1+r)^5\qquad\qquad[2]

Dividing [2] by [1]:

\displaystyle \frac{72}{50}=(1+r)^{5-1}=(1+r)^{4}

Solving for r:

\displaystyle r=\sqrt[4]{\frac{72}{50}}-1

Calculating:

r=0.095445

From [1], solve for Po:

\displaystyle P_o=\frac{72}{(1+r)^5}

\displaystyle P_o=\frac{72}{(1.095445)^5}

P_o=45.64355

The model can be written now as:

P=45.64355(1.095445)^t

In year t=10, the population of rabbits is:

P=45.64355(1.095445)^{10}

P = 113.6

P\approx 114

There are approximately 114 rabbits in the year 10

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3 years ago
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