Arithmetic sequences have a common difference between consecutive terms.
Geometric sequences have a common ratio between consecutive terms.
Let's compute the differences and ratios between consecutive terms:
Differences:
Ratios:
So, as you can see, the differences between consecutive terms are constant, whereas ratios vary.
So, this is an arithmetic sequence.
Given that a species of beetles grows 32% every year.
So growth rate is given by
r=32%= 0.32
Given that 100 beetles are released into a field.
So that means initial number of beetles P=100
Now we have to find about how many beetles will there be in 10 years.
To find that we need to setup growth formula which is given by
where A is number of beetles at any year n.
Plug the given values into above formula we get:
now plug n=10 years
Hence answer is approx 1606 beetles will be there after 20 years.
Now we have to find about how many beetles will there be in 20 years.
To find that we plug n=20 years
Hence answer is approx 25791 beetles will be there after 20 years.
Now we have to find time for 100000 beetles so plug A=100000
33.174666862=n
Hence answer is approx 33 years.
Answer:
936 jars of peanut butter contain less peanut butter than usual.
Step-by-step explanation:
1. First, we need to find how many jars of peanut butter that contain less peanut butter than advertised are produced every hour.
The factory produces 1200 jars of peanut butter every hour
3.25% of those jars have less peanut butter than advertised
So: multiply (the decimal form of the percent) to find the amount of peanut butter jars that contain less peanut butter than advertised.
So the factory produces 39 jars of peanut butter that contain less peanut butter than advertised.
2. Second, we need to find how many jars of peanut butter that contain less peanut butter than advertised in three 8 hour work days.
Lets add these work days together to find the total amount of hours:
So: three 8 hour work days totals to 24 hours
Since the factory produces 39 jars of peanut butter that contain less peanut butter than advertised per hour. Multiply to find the total amount of jars produced in three 8 hour work days.
A total of 936 peanut butter jars are produced in three 8 hour work days that contain less peanut butter than advertised.
3. If you want to double check your work do the following.
Since the factory produces 1200 jars an hour and 24 hours total three 8 hour work days. Multiply
So there is a total of 28800 jars produced in three 8 hour work days.
Then you can multiply 28800 by 3.25% of jars that contain less peanut butter to find the total amount of peanut butter jars that contain less peanut butter in three 8 hour work days.