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.
Hello!
Divide the amount of chairs (30) that 12 people can build by the number of hours (8) it takes to build them, to find out how many chairs they make per hour.
30 ÷ 8 = 3.75
This means that they make they make 3.75 chairs per hour. Multiply this by 100 hours.
3.75 × 100 = 375
ANSWER:
The people can build D. 375 chairs in 100 hours.
Answer:
41.616
Step-by-step explanation:
Answer:
A) a vertical line does not represent a function.
Step-by-step explanation:
For a relation to be a function for each value of 
there must be only one value of 
. In other words a function is one in which each value in the domain set corresponds to only one value in the range set.
Let us check for this condition in the give choices:
A) a vertical line
A vertical line is given as 
which meas it is parallel to y-axis and has infinite number of values for a single value.
So, its Not a function
B) 
For the given equation, on plugging in some value will give a single value.
So, its a Function
C) a horizontal line
A horizontal line is given as 
which meas it is parallel to x-axis and has infinite number of values giving a single value.
So, its a Function
D) {(1, 7), (3,7), (5, 7), (7,7)}
For the given set for different valuesthere is only one value.
So, its a Function
Answer:
26 in²
Step-by-step explanation:
Hope this helps :)
