Answer:
multiply the population each year by 4% or 0.04
year 1 increase by 9600, population 249,600
year 2 increase by 9984, population 259,584
year 3 increase by 10,383, 269,967
year 4 increase by 10,799, 280,766
year 5 increase by 11,231, 291,997
year 6 increase by 11,680, 303, 677
Step-by-step explanation:
I rounded the totals.
Answer:
Recursive:

Explicit:

And the 20th term is 225.
Step-by-step explanation:
We have the sequence:
35, 45, 55, 65.
Notice that each subsequent term is 10 more than the previous term.
Therefore, our common difference is (+)10.
Recursive Rule:
The standard format for the recursive rule is:

Where a is the initial term and d is the common difference.
From our sequence, we know that a the initial term is 35.
And as determined, our common difference d is 10.
Substitute. Hence, our recursive rule is:

Explicit Rule:
The standard format for the explicit rule is:

Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:

Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:

Evaluate:

Hence, the 20th term is 225.
The answer is 120 degrees on edgenutiy<span />
Step-by-step explanation:
let d+e=2 be equation 1
let d-e=4 be equation 2
lets make d the subject in equa 1
d = 2-e equation 3
put equation 3 in 2
2-e=4
e=2-4
e=-2
put e=-2 in equa 1
d-2=2
d=4
e is -2 and d is 4
The answer would be approximately 56.52 inches squared.
You are suppose to find the lateral surface area, since the label only go around the can, excluding the top and bottom.
To find the lateral surface area, you'd need to find the circumference of the circle, and then multiply that by the height.
Since C = πd, 3.14..*3 ≈ 9.42. And 9.42*6 = 56.52. Conclusively, the approximate amount of paper needed to make the can's label would be about 56.52 inches squared.