Answer: 38090 fish
Step-by-step explanation:
Use the equation 55,000(.96)^9. Start with the initial number in this case it is 55,000 then multiply by the percentage that remains (100% - 4% = 96%) and then put it to the ninth power because that is how many years the problem is asking for.
Answer:
781250
Step-by-step explanation:
Let y is the length of the farm field
Let x is the width of the farm field
Given that, no fencing is necessary along the rock wall, so we can find the perimeter of the farm is:
2x + y = 2500 feet
<=> y = 2500 -2x
The are of the farm has the following formula:
A = x*y
<=> A = x(2500 - 2x)
<=> A = 2500x -2
To have the maximum area of field in square feet, we need to use differentials to estimate:
= 2500 - 4x
Set
= 0, we have:
2500 - 4x = 0
<=> x = 625 feet.
=> y = 2500 - 2*625 = 1250 feet
So the maximum area of field is:
A = x*y = 625*1250 = 781250
Use the remainder theorem: we can decompose the given polynomial in terms of quotient and remainder polynomials
and
, respectively, such that

Then letting x = -3 makes the quotient term vanish, and we're left with a remainder of
