Answer:
a. 199,389
b. b. From the part A, the question suggests a 0.9% yearly decrease which amounts to 199,389. This answer does not correspond to their recorded figure because the 0.9% decrease was just an average taken over the period. There could be years that the decrease was way smaller than the recorded average, thus using average may not be a good way for calculating population decrease over a period of time.
Step-by-step explanation:
a. Population in 2009 = 192,370
This means that in 2005 the population = 192,370 x 1.009 x 1.009 x 1.009 x 1.009 = 199,389
b. From the part A, the question suggests a 0.9% yearly decrease which amounts to 199,389. This answer does not correspond to their recorded figure because the 0.9% decrease was just an average taken over the period. There could be years that the decrease was way smaller than the recorded average, thus using average may not be a good way for calculating population decrease over a period of time.
Answer:
2x+14y= $65.00
when
1x + 2y= $10
Step-by-step explanation:
Answer:
The lenght of the first piece is 6 feet.
The lenght of the second piece is 18 feet.
The lenght of the third piece is 30 feet.
Step-by-step explanation:
Let be:
the lenght of the first piece (in feet).
the lenght of the second piece (in feet).
the lenght of the third piece (in feet).
You know that the total lenght of the piece of siding is 54 feet. This means that:
Having this expression, you can solve for "x":
Therefore, the lenght of the first piece is 6 feet.
Then:
(The lenght of the second piece is 18 feet)
(The lenght of the third piece is 30 feet)
Answer: B
Step-by-step explanation:
There are a few relations related to tangents and secants that you are expected to remember. These problems make use of those.
1. When chords cut each other, the product of the segment lengths of one of them is equal to the product of the segment lengths of the other. Here, one of the chords is a diameter. That is special in that it is the bisector of any chord it crosses at right angles. That means ...
x·x = 2·6
x = √12 = 2√3
2. Secants from an external point have the same product of measures to the near and far intersection points with the circle. Since there is only one intersection point with a tangent, the near and far lengths are the same.
4·(4+8) = x·x
x = √48 = 4√3
