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.
First, the formula of the circumference.
There are two formulas:
1. C = π*d
[Note: d = diameter]
2. C = 2*π*r
[Note: r = radius]
[Note: This symbol * means to multiply.]
Since we are given the diameter, it’s easier to use the first formula, π*d. Let’s not be too hard on ourselves.
Okay, so let’s state our decided formula:
C = π*d
Then replace d with the car tire’s diameter:
C = π*(32)
Afterwards, find a calculator and multiply π with 32. You will get 100.5309649 as result.
If where to round is stated in your question, round to that. If not, it’s best to round by two decimal places. In this case, we’ll round 100.5309649 to 100.53.
Please add your units as well. In this case, the final answer will be: 100.53 inches.
Since this is a word problem, don’t forget your final statement!
“The approximate circumference of the tire is 100.53 inches.”
Answer:
Step-by-step explanation:
events are 1+1+4=6
1+2+3=6
1+3+2=6
1+4+1=6
2+1+3=6
2+2+2=6
2+3+1=6
3+1+2=6
3+2+1=6
4+1+1=6
total number of ways=10
Answer:
trigonometry
Step-by-step explanation:
hopes this helps
Answer:
The answer is 60 and 80
Step-by-step explanation:
