Answer:
Option C, dP/dt=1/5P
Step-by-step explanation:
The change is population of insects is directly proportional to the rate of change of population
Hence,
Or
where K is the proportional constant
We will find the value of k
Keeping the given values of rate of change of population and population in above equation, we get -
Hence,
Answer:
9x+37
Step-by-step explanation:
The first five terms of the sequence representing each bottle scheme for Mike is illustrated below.
<h3>How to calculate the sequence?</h3>
From the information given, Mike and Tim are looking to earn a little extra money and the beach committee offers them the opportunity of picking up plastic bottles, paying them $0.20 per bottle.
For Mike, the price for the first bottle is $0.10.
The price for the second bottle will be:
= 0.10 × 1.02 = 0.102
The price for the third bottle will be:
= 0.10 × 1.02² = 0.10404
The price for the forth bottle will be:
= 0.10 × 1.02³ = 0.10612
The price for the fifth bottle will be:
= 0.10 × 1.02⁴ = 0.10824
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Complete question:
Mike and Tim are looking to earn a little extra money. The beach committee offers them the opportunity of picking up plastic bottles, paying them $0.20 per bottle. Mike realizes as they pick up it will get harder and harder to find more bottles. So as an incentive to keep looking he suggests a different form of payment. He suggests $0.10 for the first bottle and increase the pay by 2% for each bottle after that. Tim thinks Mike is crazy to propose an increase of just 2% per piece. He plans to ask for a one cent increase for every piece, starting at 15 cents for the first bottle. Write the first five terms of the. sequence representing each bottle scheme for Mike.
Answer:
See below.
Step-by-step explanation:
So we have the inequality:
Subtract 6 from both sides:
Divide both sides by 2:
So, the solution is all numbers greater than 7.
And we're done!
Answer:
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
we know that
To find out how much area of carpet is left after putting the table in place, subtract the area of the table from the area of the carpet
Remember that
The area of a circle is equal to
step 1
Find the area of the carpet
we have
----> the radius is half the diameter
assume
substitute
step 2
Find the area of the circular table
we have
----> the radius is half the diameter
assume
substitute
step 3
Subtract the areas