Answer:
Step-by-step explanation:
You are being asked to compare the value of a growing infinite geometric series to a fixed constant. Such a series will always eventually have a sum that exceeds any given fixed constant.
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<h3>a)</h3>
Angelina will get more money from the Choice 1 method of payment. The sequence of payments is a (growing) geometric sequence, so the payments and their sum will eventually exceed the alternative.
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<h3>c)</h3>
For a first term of 1 and a common ratio of 2, the sum of n terms of the geometric series is given by ...
Sn = a1×(r^n -1)/(r -1) . . . . . . . . . . series with first term a1, common ratio r
We want to find n such that ...
Sn ≥ 1,000,000
1 × (2^n -1)/(2 -1) ≥ 1,000,000
2^n ≥ 1,000,001 . . . . add 1
n ≥ log(1,000,001)/log(2) . . . . . take the base-2 logarithm
n ≥ 19.93
The total Angelina receives from Choice 1 will exceed $1,000,000 after 20 days.
Answer:
look at the screenshot hun!!
Step-by-step explanation:
If you would like to divide 3 and 1/6/(-9), you can do it using the following steps:
3 / 1/6/(-9) = 3/1 / 1/6/(-9) = 3/1 * (-9)/1/6 = -27 / 1/6 = -27 * 6 = -162
The result you get is -162.
Answer:
Smaller angle = 53.2
Larger angle = 126.8
Step-by-step explanation:
Lets say x is the measure of the supplement. Since we know they're supplementary, we know their angle measure sum will equal 180. We can set up our equation like this 
. Note: (x - 73.6) is the measure of the smaller angle. By solving, we get 126.8 degrees for the measure of the supplement. If we plug in the value of x into (x-73.6), we get 53.2 degrees as the angle measure of the smaller angle.
Answer:
Y= 15
x = 12
Step-by-step explanation:
Okay, so the sides that are across from eachother, are always equal to eachother, in a parallelogram.
So, 5y-20 = 2y + 25
Next, you add 20 to both sides, and then subtract 2 from the right side, and subtract 2 from the left side ,and you get 3y = 45
divide 45 by 3 , and you get 15.
DO the same thing for the X's.
