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2 years ago

A city's population is represented by the function P=25,000(1.0095)t , where t is time in years.

Mathematics

2 answers:

dedylja [7]2 years ago

6 0

Daily growth rate: 0.003%

P = 25,000 [1.0095^(1/365)]^(t / 365)

Sophie [7]2 years ago

6 0

Answer:

The approximate daily growth rate is 0.0026%

The function can be rewritten as P = 25,000*[1.0095^(1/365)]^t, where now t is in days

Step-by-step explanation:

Given the formula:

P = 25,000*(1.0095)^t

25,000 indicates the initial population, t is the time elapsed in years, and P is the population after t years. After 1 year the population will be:

P = 25,000*(1.0095)

which is equivalent to:

P = 25,000*100.95%

that represents an increment of 0.95 % in a year. Given that the year has 365 days, then this represent a daily growth of 0.95/365 = 0.0026%

Dividing t by 365 in the original expression, so that, time is expressed in days, we get:

P = 25,000*(1.0095)^(t/365)

Which can be rewritten as:

P = 25,000*[1.0095^(1/365)]^t

P = 25,000*(1.000026)^t

That represents a daily growth rate of 0.0026% and now t is in days

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In the figure shown, FG is tangent to circle D.

romanna [79]

Answer:

Option B

Step-by-step explanation:

From the figure attached,

Circle D is drawn with the radius = DG or DE

A tangent FG has been drawn at a point G on the circle from an external point F.

By theorem,

Radius of a circle is always perpendicular to the tangent, drawn to the circle from an external point.

Therefore, DG ⊥ FG.

Option B will be the correct option.

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1 year ago

An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the event that the A

Ksivusya [100]

Answer:

0.7 ; 0.65 ; 0.115

Step-by-step explanation:

P(A) = 0.5 ; P(B) = 0.3

P(not successful) = P(B') = 1 - 0.3 = 0.7 ; P(A') = 1 - 0.5 = 0.5

1.)

Both events are independent events, hence the outcome of one does not depend on the other. That is the failure of the Asian project has nothing to do with the European project.

Probability that European project isn't successful;

P(B') = 1 - P(B) = 1 - 0.3 = 0.7

2.)

Probability that atleast one of the 2 projects is successful :

P(AUB) = P(A) + P(B) - P(AnB)

P(AnB) = P(A) * P(B) = 0.5 * 0.3 = 0.15

P(AUB) = 0.5 + 0.3 - 0.15 = 0.65

3.)

Probability that only the Asian project is successful, given that atleast one of the two projects is successful :

[P(A) - P(AnB)] ÷ P(AuB)

[0.5 * 0.15] ÷ 0.65

= 0.075 ÷ 0.65

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1 year ago

Leticia charges $8 per hour to babysit. She babysat Friday night for 4 hours,

JulsSmile [24]

For this case we have that the variable "x" represents the number of hours that Leticia uses to take care of children on Saturday.

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$8 (4 + x) = 72$

We apply distributive property:

$32 + 8x = 72\\8x = 72-32\\8x = 40\\x = \frac {40} {8}\\x = 5$

So, on Saturday she spent 5 hours.

Answer:

$8 (4 + x) = 72\\x = 5$

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2 years ago

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Answer:

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