Answer:
5,009.206
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Step-by-step explanation:
D:(0,10)
R:(14, infinitly)
 
        
             
        
        
        
Answer:
See below.
Step-by-step explanation:
It can really help to think when you see |expression| that it means the distance from expression to zero.
(a)  |x| < 7  means the distance from  x  to 0 is less than 7.  That puts  x  between -7 and 7.  The solution set is  -7 < x < 7.
(b)  |x + 3| < 9 means that the distance from x + 3 to 0 is less than 9.  That puts x + 3 between -9 and 9:
-9 < x + 3 < 9   Now subtract 3 from all three parts.
-12 < x < 6
(c)  |y - 8| > 11 means that the distance from y - 8 to 0 is more than 11 units.  That puts  y - 8 in one of two places:  left of -11 or right of 11.
 
 
(g)   means that the distance from 3x - 1 to 0 is more than (or equal to)  18.  Another way to say it is, 3x - 1 is farther from 0 than 18 units.  That puts  3x - 1 in one of two places:  to the left of -18 or to the right of 18.
 means that the distance from 3x - 1 to 0 is more than (or equal to)  18.  Another way to say it is, 3x - 1 is farther from 0 than 18 units.  That puts  3x - 1 in one of two places:  to the left of -18 or to the right of 18.

 means that 4y + 3 is closer to 0 than 13;  it is between -13 and 13.
  means that 4y + 3 is closer to 0 than 13;  it is between -13 and 13.

(That last fraction is 10/4 simplified.)
 
        
                    
             
        
        
        
Answer:
The vertex is y=-4
Step-by-step explanation:
The vertex is the minimum point of the graph of the quadratic equation.
Let's first find the like of symmetry.
dy/dx=2x+12
2x+12=0
2x=-12
x=-6
Now plug -6 into the quadratic equation
y=(-6)²+12(-6)+32
y=-4
 
        
             
        
        
        
Answer:
1500+337.50 = $1,837.5
Step-by-step explanation:
You want to calculate the interest on $1500 at 4.5% interest per year after 5 year(s).
The formula we'll use for this is the simple interest formula, or:
<em>
I = P x r x t</em>
Where:
P is the principal amount, $1500.00.
r is the interest rate, 4.5% per year, or in decimal form, 4.5/100=0.045.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.
To find the simple interest, we multiply 1500 × 0.045 × 5 to get that:
The interest is: $337.50