The area of a circle is \pi r^2, where r is the radius of the circle. The diameter of a circle is the length of a line that passes through the center of the circle and stops at the perimeter of circle. The radius of a circle is half the diameter. Divide the diameter by 2 to find the radius.
1. 2.8 m / 2 = 1.4 m
2 .
![\pi (1.2m)^2](https://tex.z-dn.net/?f=%20%5Cpi%20%281.2m%29%5E2%20)
: Plug in the value we just found for r.
3.
![\pi 1.44m^2](https://tex.z-dn.net/?f=%5Cpi%201.44m%5E2)
: Use the order of operations (PEMDAS).
4.
![\pi * 1.44m^2 = ~4.52 m^2](https://tex.z-dn.net/?f=%5Cpi%20%2A%201.44m%5E2%20%3D%20~4.52%20m%5E2)
The area of the circle is equal to
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:
Step-by-step explanation:
$16,250 is the down payment amount
Given :
Jame has six stamps in his stamp collection Roy has 12 stamps on his collection Jame adds two stamps to the collection.
To Find :
The ratio of stamps of James's and Roy's collection.
Solution :
Number of stamps in Jame's collection, n = 6 + 2 = 8.
Let, ratio of their stamp is R.
![R = \dfrac{\text{Number of stamps James have}}{\text{Number of stamps Roy have}}\\\\R = \dfrac{8}{12}\\\\R = \dfrac{2}{3}](https://tex.z-dn.net/?f=R%20%3D%20%5Cdfrac%7B%5Ctext%7BNumber%20of%20stamps%20James%20have%7D%7D%7B%5Ctext%7BNumber%20of%20stamps%20Roy%20have%7D%7D%5C%5C%5C%5CR%20%3D%20%5Cdfrac%7B8%7D%7B12%7D%5C%5C%5C%5CR%20%3D%20%5Cdfrac%7B2%7D%7B3%7D)
Therefore, the ratio of their stamps is 2 : 3 .
Answer:
Add me so when you get the equation you can ask me for help!!
Step-by-step explanation:
What is the equation