Answer:

Step-by-step explanation:
We are going to find the slope by lining up the points vertically and subtract, then put 2nd difference over first.
Also you could just use
. It is the same thing.
( 5 , 5)
-( 1 , 3)
--------------
4 2
So the slope is 2/4 or 1/2 after reducing.
The point-slope form a line is
with a point on the line
given and with slope
given.

We are going to solve this for y and simplify what we can because our goal is y=mx+b; this is slope-intercept form. It is called that because it tells us the slope,m, and the y-intercept,b.
Distribute:

Add 3 on both sides:

Simplify:

Answer:
The answer would be option number 2. (a₁ = 8 a(n) = -3a(n)-1)
Step-by-step explanation:
You are multiplying by negative 3 every time and you are starting with the number 8.
Given:
Percent Amount $
Fund A 3% $4000
Fund B 1% x
Total Funds 8% $4000 + x
Find:
Fund B Investment
Solution:
$4000 * .03 + .10 * x = .08% ($4000 + x)
We already know 3 rates and one amount invested
$4000 * .03 + .10 * x = .08% ($4000 + x)
Multiply them out:
120 + (0.10 * x) = 320 + 0.08x
Now, we combine like terms.
.10x – 0.08x = 320 – 120
.02x = 200
Isolate x
x = 200 / 0.02
Divide
x = $10,000
Checking:
($4000 * .03) + (.10 * 10,000) = .08% ($4000 + 10,000)
120 + 1000 = 320 + 800
1120 = 1120
Therefore, fund B has an investment of $10,000.