3 years ago

Which will result in a difference of squares?

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

8 0

Please show the choices

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2 years ago

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SashulF [63]

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2 years ago

The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be d

Ilya [14]

Answer:

<em>It will take 9 years for the population to double</em>

Step-by-step explanation:

<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.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

$2P_o=P_o(1+0.08)^t$

Simplifying:

$2=(1.08)^t$

Taking logarithms:

$\log 2=\log (1.08)^t$

Applying the exponent property of logs:

$\log 2=t\log (1.08)$

Solving for t:

$\displaystyle t=\frac{\log 2}{\log (1.08)}$

Calculating:

$t\approx 9$

It will take 9 years for the population to double

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2 years ago

1 Candice is taking a group nature hike in a park. There is a $13.00 fee just to enter the park. In addition, the tour group cha

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Answer:

There is a $12.00 fee just to enter the park. ... In addition, the tour group charges $0.23 per mile they hike. She brought $35.00 with her. Which equation can be used to determine how many miles can she hike? ... 1. Brainly User. Let, the miles she can travel = d. So, Equation would be: 12.00 + 0.23d = 35.00

Step-by-step explanation:

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2 years ago