Complete question:
The growth of a city is described by the population function p(t) = P0e^kt where P0 is the initial population of the city, t is the time in years, and k is a constant. If the population of the city atis 19,000 and the population of the city atis 23,000, which is the nearest approximation to the population of the city at
Answer:
27,800
Step-by-step explanation:
We need to obtain the initial population(P0) and constant value (k)
Population function : p(t) = P0e^kt
At t = 0, population = 19,000
19,000 = P0e^(k*0)
19,000 = P0 * e^0
19000 = P0 * 1
19000 = P0
Hence, initial population = 19,000
At t = 3; population = 23,000
23,000 = 19000e^(k*3)
23000 = 19000 * e^3k
e^3k = 23000/ 19000
e^3k = 1.2105263
Take the ln
3k = ln(1.2105263)
k = 0.1910552 / 3
k = 0.0636850
At t = 6
p(t) = P0e^kt
p(6) = 19000 * e^(0.0636850 * 6)
P(6) = 19000 * e^0.3821104
P(6) = 19000 * 1.4653739
P(6) = 27842.104
27,800 ( nearest whole number)
Answer:
6 meters
Step-by-step explanation:
Th equation to find the diameter of a circle is,
radius * 2.
The radius of the swimming pool is 3, so 3 * 2 is 6.
Hope this helps!!
Let me know if I'm wrong...
Answer:
The answer is
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Step-by-step explanation:
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To solve the fraction reduce the fraction with d
That's we have
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Next simplify the expression using the rules of indices to simplify the letters in the fraction
<u>For c </u>
Since they are dividing we subtract the exponents
We have
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<u>For </u><u>e</u>
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Substituting them into the expression we have
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Reduce the fraction by 3
We have the final answer as
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Hope this helps you
Answer:
Step-by-step explanation:
- <em>Percent change is the difference in numbers divided by initial number converted to percent value.</em>
<u>Percent increase:</u>
<u>Percent decrease:</u>
- (70 - 50)/70*100% = 28.57%
<u>Compare:</u>
Answer:
Ellie can make eight stacks of quarters with four quarters in each stack
Step-by-step explanation:
