Hello! There were 15,982,378 people living in Florida in 2000 and 183 out of 1,000 were ages 65 and over. That's 18.3% of all Florida residents, because 183/1,000 is 0.183 and 0.183 * 1,000 is 18.3. What you could do is multiply the amount of people living in Florida by the percentage, in this case, 18.3% (0.183). When you do that, you get 2,924,775.174 or 2,924,775 when rounded to the nearest whole number. Either way, you can't have part of a person. In the year 2000, there were 2,924,775 Florida residents 65 and older.
Answer: The number is 26.
Step-by-step explanation:
We know that:
The nth term of a sequence is 3n²-1
The nth term of a different sequence is 30–n²
We want to find a number that belongs to both sequences (it is not necessarily for the same value of n) then we can use n in one term (first one), and m in the other (second one), such that n and m must be integer numbers.
we get:
3n²- 1 = 30–m²
Notice that as n increases, the terms of the first sequence also increase.
And as n increases, the terms of the second sequence decrease.
One way to solve this, is to give different values to m (m = 1, m = 2, etc) and see if we can find an integer value for n.
if m = 1, then:
3n²- 1 = 30–1²
3n²- 1 = 29
3n² = 30
n² = 30/3 = 10
n² = 10
There is no integer n such that n² = 10
now let's try with m = 2, then:
3n²- 1 = 30–2² = 30 - 4
3n²- 1 = 26
3n² = 26 + 1 = 27
n² = 27/3 = 9
n² = 9
n = √9 = 3
So here we have m = 2, and n = 3, both integers as we wanted, so we just found the term that belongs to both sequences.
the number is:
3*(3)² - 1 = 26
30 - 2² = 26
The number that belongs to both sequences is 26.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
y - 7 = -5/2(x - 2)
y - 7 = -5/2x + 5
y = -5/2x + 12
