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Pavel [41]
3 years ago
6

The length of a rectangle is 4 units more than its width. The area of the rectangle is 25 more than 4 times the width. What is t

he width of the rectangle?​

Mathematics
1 answer:
mote1985 [20]3 years ago
8 0

Answer:

Step-by-step explanation:

4w+25=w^2+4w

So w =5

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Assume the exponential growth model ​A(t)equals=Upper A 0 e Superscript ktA0ekt and a world population of 5.95.9 billion in 2006
Whitepunk [10]

Answer:

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Step-by-step explanation:

We are given the following in the question:

The exponential growth model ​is given by:

A(t) = A_0e^{kt}

where k is the growth rate, t is time in years and A_0 is constant.

The world population is 5.9 billion in 2006.

Thus, t = 0 for 2006

A_0 = 5.9\text{ billions}

We have to find the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Putting these values in the growth model, we have,

24 = 5.9e^{100k}\\\\k = \dfrac{1}{100}\ln \bigg(\dfrac{24}{5.9}\bigg)\\\\k = 0.01403\\k = 0.01403\times 100\% = 1.4\%

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

8 0
2 years ago
How much money, in dollars, is available on his card after he takes 0<br> rides?
snow_tiger [21]

Answer:

However much he had on his card in the first place.

Step-by-step explanation:

Say he had $500 on his card. He took 0 rides ( no rides ) so he doesn't lose any money. Leaving him with his starting amount, $500.

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2 years ago
A box in the shape of a right rectangular prism has a length of 8.5 inches, a width of 4.5 inches, and a height of 3.75 inches,
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6 0
3 years ago
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soldier1979 [14.2K]

Answer: $15.00

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5 0
2 years ago
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