The square of an odd number:
We're to conjecture, not do algebra, apparently. 1²=1, 3²=9, 5²=25, 7²=49, ...
We conjecture the square of an odd number is odd.
The product of two evens and an odd:
Again, we'll run some examples.
(2)(2)(1)=4
(2)(4)(3)=24
(4)(6)(5) =120
(4)(8)(1)=32
Conjecture: The product of two evens and an odd is a multiple of 4
Counterexample: The product of two fractions is never an integer
How about
3/4 × 4/3 = 1
Answer:approaches 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
18107.32
Step-by-step explanation:
Set up the exponential function in the form:

so P is the new population,
is the original population, R is the rate of increase in population, and t is the time in years.
You have to use the information given to find the rate that the population is increasing and then use that rate to find the new population after more time passes.
![13000 = 6000(R)^7\\\\\\frac{13000}{6000} = R^7\\\\\sqrt[7]{\frac{13000}{6000} } = R\\\\\\ R = 1.116786872](https://tex.z-dn.net/?f=13000%20%3D%206000%28R%29%5E7%5C%5C%5C%5C%5C%5Cfrac%7B13000%7D%7B6000%7D%20%3D%20R%5E7%5C%5C%5C%5C%5Csqrt%5B7%5D%7B%5Cfrac%7B13000%7D%7B6000%7D%20%7D%20%3D%20R%5C%5C%5C%5C%5C%5C%20R%20%3D%201.116786872)
Now that you found the rate, you can use the function to find the population after another 3 years.

So the population is 18107, rounded to the nearest whole number.