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)
1. Ratio between onions and tomatoes:
There are 3 onions and 4 carrots.
Therefore, required ratio is 3:4
2. Ratio between tomatoes to cups of chicken stock:
There are 6 tomatoes and 5 cups of chicken stock.
Hence, the required ratio is 6:5.
3. Sticks of butter to bananas:
There are 1 stick of butter and 2 bananas.
So, the required ratio is 1 to 2.
4. Teaspoons of salt to teaspoons of black pepper:
There are 2 teaspoons of salt and 1 teaspoon of black pepper.
Please refer attached figure.
5. Let's calculate the ratio of cups of chocolate chips to tomatoes.
There are 3 cups of chocolate chips and 6 tomatoes.
Hence, the required ratio is 3:6 and on simplifying, 1:2.
A ray, is a line that has one endpoint on one side and on the other side is an infinity amount of numbers
Answer: 6
Step-by-step explanation: 36 divided by 6 equals 6
48 divided by8 is 6
common factor is 6
