640 x 0.30= 192
640-192= 448
448 is the answer
Answer – C. (Convenience sampling)
The sampling method that is generally considered the weakest is convenience sampling. This is because in convenience sampling, there is usually no inclusion criteria identified prior to the selection of subjects. Convenience sampling involves getting participants wherever you can conveniently find them. Typically, the first available participants (or any other primary data source, as the case may be) will be used for the research without any additional requirements.Other names by which convenience sampling is known are: Incidental Sampling, Chunk Sampling, and Accidental Sampling.
Answer:
5507.79 feet
Step-by-step explanation:
To find the height of the mountain, we can draw triangles as in the image attached.
Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.
Then, we can use the tangent relation of the angles:
tan(34) = h/x
tan(31) = h/(x+1000)
tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:
h/x = 0.6745 -> x = h/0.6745
using this value of x in the second equation:
h/(x+1000) = 0.6009
h/(h/0.6745 + 1000) = 0.6009
h = 0.6009 * (h/0.6745 + 1000)
h = 0.8909*h + 600.9
0.1091h = 600.9
h = 600.9 / 0.1091 = 5507.79 feet
Answer:
21.68 minutes ≈ 21.7 minutes
Step-by-step explanation:
Given:

Initial temperature
T = 100°C
Final temperature = 60°C
Temperature after (t = 3 minutes) = 90°C
Now,
using the given equation

at T = 90°C and t = 3 minutes


or

taking the natural log both sides, we get
3k = 
or
3k = -0.2876
or
k = -0.09589
Therefore,
substituting k in 1 for time at temperature, T = 65°C

or

or

or

taking the natural log both the sides, we get
( -0.09589)t = ln(0.125)
or
( -0.09589)t = -2.0794
or
t = 21.68 minutes ≈ 21.7 minutes
This is a geometric sequence of the form:
a(n)=ar^(n-1) in this case a=150, r=1.1
a(n)=150(1.1)^(n-1) August is the eighth month so
a(8)=150(1.1)^7
a(8)=292.307565
So you deposited $292.31 (to the nearest cent) in August.