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:
A. The y intercept the y coordinate when the line passes through the point that is on the y coordinate and the x is 0. In this context, the y intercept is 10.
B. The slope is the number of units the line goes up every number of units it goes to the right. This line goes up 50 every 20 units to the right so the slope is 50/20 which simplifies to 5/2
C. The equation is y = 5/2x + 10
Answer:
-48/15, simplified to -16/5
Step-by-step explanation:
The reciprocal of -3/8 is -8/3. So the equation will be 6/5 x -8/3. Multiply numerators then multiply denominators to get -48/15. This can simplify to -16/5 by dividing both by 3.
The answer is d :) have a good day
9514 1404 393
Answer:
4
Step-by-step explanation:
Maybe you want the value of 16/f when f=4. Put the value of f where f is and do the arithmetic.
