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Degger [83]
3 years ago
5

1. How much does Allison pay for her mortgage​

Mathematics
1 answer:
wariber [46]3 years ago
7 0

Answer:

Need more info to answer.

Step-by-step explanation:

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Can you find a strategy for splitting any number so that you always get the largest product?
Alex

9514 1404 393

Answer:

  split the number into equal pieces

Step-by-step explanation:

Assuming "splitting any number" means identifying parts that have the number as their sum, the maximum product of the parts will be found where the parts all have equal values.

We have to assume that the number being split is positive and all of the parts are positive.

<h3>2 parts</h3>

If we divide number n into parts x and (n -x), their product is the quadratic function x(n -x). The graph of this function opens downward and has zeros at x=0 and x=n. The vertex (maximum product) is halfway between the zeros, at x = (0 + n)/2 = n/2.

<h3>3 parts</h3>

Similarly, we can look at how to divide a (positive) number into 3 parts that have the largest product. Let's assume that one part is x. Then the other two parts will have a maximum product when they are equal. Their values will be (n-x)/2, and their product will be ((n -x)/2)^2. Then the product of the three numbers is ...

  p = x(x^2 -2nx +n^2)/4 = (x^3 -2nx^2 +xn^2)/4

This will be maximized where its derivative is zero:

  p' = (1/4)(3x^2 -4nx +n^2) = 0

  (3x -n)(x -n) = 0 . . . . . . . . . . . . . factor

  x = n/3  or  n

We know that x=n will give a minimum product (0), so the maximum product is obtained when x = n/3.

<h3>more parts</h3>

A similar development can prove by induction that the parts must all be equal.

6 0
3 years ago
An airplane is change in alitude before landing is shown in the table
USPshnik [31]

Answer:

wheres the table can you please provide one

Step-by-step explanation:

7 0
3 years ago
a rectangular floor is 12 feet wide and 18 feet long. How much will it cost to carpet the floor if the carpet cost $1.39 per squ
ruslelena [56]
We have to find the area first
12 x 18=216 square feet
we do 216* $ 1.39= $ 300.24
7 0
3 years ago
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What is the distance between (-5, 3) and (-5,-3)?
aev [14]
The answer is 6
hope this helped
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2 years ago
Find the area of the blue sector. Use 3.14 for pi and round to the nearest hundredth.
raketka [301]
I hope this helps you

7 0
3 years ago
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