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)
you basically have to times it by 3 so
2:7
4:14
6:21
the answer would be 6 tablespoons of sugar to 21 tablespoons of flour
Answer:sin =perpendicular/hypotenuse
Step-by-step explanation:
Sin angle is given use tan theta or cos theta to find the RS
Answer:
7 1/2
Step-by-step explanation:
2 1/2 ÷ 1/3
Change the mixed number to an improper fraction
2 1/2 = (2*2+1)/2 = 5/2
5/2 ÷ 1/3
Copy dot flip
5/2 *3/1 = 15/2
Changing back to a mixed number
2 goes into 15 7 times with 1 left over
7 1/2
Its A or C because Angle AEC has to be bigger then 90 degrees
