Q.34
The infinite geometric series is converges if |r| < 1.
We have r =1.002 > 1, therefore our infinite geometric series is Diverges
Answer: c. Diverges, sum not exist.
Q.35
The infinite geometric series is converges if |r| < 1.
We have r = 4/5 < 1, therefore our infinite geometric series is converges.
The sum S of an infinite geometric series with |r| < 1 is given by the formula :
We have:
substitute:
Answer: c. Converges, -25.
Answer:
The exponential function to model the duck population is:
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
Step-by-step explanation:
In order to calculate the duck population you can use the formula to calculate future value:
FV=PV*(1+r)^n
FV=future value
PV=present value
r=rate
n=number of periods of time
In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:
f(n)=415*(1+0.32)^n
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
which data display could be used to represent the data set? 106, 94, 83, 115, 134, 122, 108, 99, 113, 125, 141, 137, 136, 144
Novay_Z [31]
The data display that could be used to represent the given data set is leaf and stem plot.
Leaf and stem plot: A stem and leaf plot is a way to plot data where the data is split into stems (the largest digit) and leaves (the smallest digits). The stem and leaf plot is used like a histogram; it allows you to compare data. While a histogram uses bars to represent amounts, the leaves of the stem plot represent amounts.
Hence, the leaf and stem data display represent the given data set.
For more questions on leaf and stem plot, visit:
brainly.com/question/28357199
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Owen earned $ 36 on Saturday afternoon
<em><u>Solution:</u></em>
Let "x" be the amount earned by Owen between morning and afternoon
On Saturday morning , Owen earned $ 24
By the end of the afternoon he had earned a total of $ 60
From given information,
Amount earned on saturday morning + Amount earned on saturday afternoon = Total money earned
Therefore,
24 + x = 60
x = 60 - 24
x = 36
Hence Owen earned $ 36 on Saturday afternoon
You don't need to start with the greater number. Either order of numbers will work because addition had a communitive property, meaning it can be added in any order to get the same answer.
