The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t
We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.
We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
Answer:
It costs $0.216 to make smaller can and $0.324 to make larger can
Step-by-step explanation:
Given:
The ratio of the surface areas = 4:9
Area of smaller cans = 36 sq in
Cost = $0.006 per square inch
To Find:
how much does it cost to make each can = ?
Solution:
Lets the area of the larger can be x
the ratio is 4 : 9
then 4x = 9.(36)
4x = 216
x = 54
The area of the larger can is 54 sq in
Now the cost of making the smaller can = 
= $0.216
The cost of making the Larger can = 
=$0.324
The answer is 136 I hope this helped
Answer:
Harper is 200 yards away from her home if the map shows 3 inches
Step-by-step explanation:
50 yards = 3/4 inch
3 inches = 3/1
3/1 x 4/4 = 12/4
12/4 = 3 inches
50 x 4 = 200
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
<span>I will discuss polynomials. A polynomial can be
classified according to the number of expressions that it has in a given
equation. A monomial has only one expression having a coefficient (number) and
a variable (letter). A binomial has two expressions, same as the definition of
the monomial. And a trinomial has three expressions, same as the definition of
a monomial. We can determine the degree of a polynomial by looking at the
exponents of the given polynomial. If an expression has two variables with
different exponents, you can add their exponent to determine their degree.
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