Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Let
y ----> the total amount of savings
x ----> the number of months
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have
<em>Herman</em>
The slope is equal to 
The y-intercept is 
substitute
----> equation A
<em>Jackie</em>
The slope is equal to 
The y-intercept is 
substitute
----> equation B
Part 1) In how many months will they have the same amount of savings?
equate equation A and equation B
solve for x
Part 2) How much will each of them have saved?
substitute the value of x=10 months in any of the equations
equation A
equation B
A) The dimensions are (x+10) by (x+10).
B) The perimeter is given by 4x+40.
C) The perimeter when x is 4 is 56.
The quadratic can be factored by finding factors of c, the constant, that sum to b, the coefficient of x. Our c is 100 and our b is 20; we want factors of 100 that sum to 20. 10*10=100 and 10+10=20, so those are what we need. This gives us (x+10)(x+10 for the factored form.
Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10). Using the distributive property we have 4*x+4*10=4x+40.
To find the perimeter when x=4, substitute 4 into our perimeter expression:
4*4+40=16+40=56.
Focus on the x-axis. The intercept of the axis and the function is 0 and 6. It's at the positive side.
x=0, x=6
The following answers are called zeros.
First we calculate the tax on the item:
11.4%($160) = 11.4(160)/100 = 18.24
hence the tax for the item is $18.24
The total price for the item would be:
160 + 18.24 = 178.24
hence the total price for the item including tax is:
$<span>178.24</span>
