Answer:
Step-by-step explanation:
Consider the quadratic equation, we have
Dividing the equation by a, we get
Put 
on the other side,
Add 
on both the sides,
completing the square, we have
Now, solving for x,
Multiply right side by 
,
which is the required quadratic formula.
The price of each ticket will be the slope found from the data.
Slope=m=(y2-y1)/(x2-x1)=(177.5-146.25)/(18-13)
m=6.25 (so the cost of the tickets is $6.25)
Now we can use any data point to solve for b, or the y-intercept of the line:
y=6.25x+b, using (177.5, 18)
177.5=6.25(18)+b
b=$65.00d
So he started with $65.00
P = 300 $; r = 0.06; t = 20; n = 1
A = P ( 1 + r/n)^n*t
= 300 ( 1 + 0.06) ²⁰
= 300 ( 1.06) ²⁰
= 962.14
Answer:
x = 15
Step-by-step explanation:
As given, the equation 40 = 25 + x
As on the R.H.S of the equation, there is one constant and a variable x
As to isolate the variable we have to subtract the same constant so that that constant gives 0.
As we have the constant value 25
So, subtract 25 from both side of the equation, we get
40 - 25 = 25 + x - 25
⇒15 = x
∴ we get
x = 15
