Answer:
(y+8) (y-3)
Step-by-step explanation:
y2+5y-24
=y2+8y-3y-24
=y(y+8)-3(y+8)
=(y+8) (y-3)
Answer:
a) 
b) 5464 inhabitants.
Step-by-step explanation:
The formula used for compound interest becomes very helpful in this case.

Knowing this, we can easily calculate the value for any year, counting from the original 5000.
From this formula, we can derive a specific one that will serve for any value of <em>t</em>.
a)

b) Apply the formula:

The town will have 5464 inhabitants.
Answer:
You'll need 18.85 feet of ribbon.
Step-by-step explanation:
The circumference is
.

Answer:
<h2>
first piece: 5 in</h2><h2>
second piece: 10 in</h2><h2>
third piece: 32 in </h2>
Step-by-step explanation:
x - the length of the <u>first piec</u>e
2x - twice the length of the first piece (the length of the <u>second piece</u>)
6x - six times the length of the first piece
two inches more:
6x+2 - the length of the <u>third piec</u>e
first + second + third = 47 in {total length of the pieces of steel}
x + 2x + 6x + 2 = 47
9x + 2 = 47
9x = 45
x = 45:9
x = 5 in
first piece: 5 in
second piece: 2×5 = 10 in
third piece: 6×5 + 2 = 30 + 2 = 32 in
Answer:

Step-by-step explanation:
The slope-intercept form of the equation of a line:

m - slope
b - y-intercept → (0, b)
The point-slope form of the equation of a line:

m - slope
(x₁, y₁) - point
We have the equation of a line:

and the point (0, 2) → b = 2.
Substitute:
