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3 years ago

If marching bands vary from 21 to 49 player, which numbers of players can be arranged in the greatest number of rectangles?

1 answer:

5 0

Hmm. a rectangle?ok then, least number of rectangles needed-6.
. . .
. . . ( rectangle)
so, 6 x 8=48(greatest multiple of 6 from between 21 and 49)
48 players are most, so 8 rectangles

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2 years ago

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2 years ago

1. The number of rabbits on an island is increasing exponentially.

Zina [86]

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There are approximately 114 rabbits in the year 10

Step-by-step explanation:

Exponential Growth

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

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

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$P_o=45.64355$

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$P=45.64355(1.095445)^{10}$

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3 years ago

Principle=$745 rate= 9% time= 4years

Dennis_Churaev [7]

Based on a yearly rate (which is the norm) I give you my answer ..

Your principle is at 745$
Annual Rate 9%

For the first year your principle will grow by 67.05 $ if untouched (9%) up to 812.05 $

2nd year .. 9% of the 812.05 $ is 73.0845 $ .. So by the 2nd year you reach 885.1345 $

3rd year .. 79.662105 $ .. Total 964.796605 $

4th year .. 86.83169445 $ .. Final 4 Years Total 1051.62829945 $

4 0

3 years ago