Answer:
<u>x² - 22x + y² - 6y + 121 = 0</u>
Step-by-step explanation:
<u>General Form of Equation</u>
<u>Solving</u>
- (x - 11)² + (y - 3)² = (3)²
- x² - 22x + 121 + y² - 6y + 9 = 9
- <u>x² - 22x + y² - 6y + 121 = 0</u>
($3756/100)(100+12)/100
$37.56(1.12)
$42.0672
$42.07 (to nearest cent)
Answer:
= 3z4 - 2z2 -5z
Step-by-step explanation:
Answer:
x^2 - 10x + 25 = 17
Step-by-step explanation:
Please use " ^ " to denote exponentation:
x^2 - 10x = -8
x^2 - 10x + 25 = 17
x^2 - 10x + 25 = -8
x^2 - 10x - 25 = -33
Begin with x^2 - 10x = -8. Here's the process for completing the square:
1. Take half of the coefficient of x and square the result:
(1/2)(-10) = -5, and then (-5)^2 = + 25
2. Add this 25 to the first two terms of x^2 - 10x = -8 and also to the constant -8: x^2 - 10x + 25 = -8 + 25, or x^2 - 10x + 25 = 17
3. Match this result to one of the given possible answers. Turns out that the given possible answer matching our result is the first one:
x^2 - 10x + 25 = 17
Answer:
The value of first coin will be $151.51 more than second coin in 15 years.
Step-by-step explanation:
You have just purchased two coins at a price of $670 each.
You believe that first coin's value will increase at a rate of 7.1% and second coin's value 6.5% per year.
We have to calculate the first coin's value after 15 years by using the formula

Where A = Future value
P = Present value
r = rate of interest
n = time in years
Now we put the values



A = (670)(2.797964)
A = 1874.635622 ≈ $1874.64
Now we will calculate the value of second coin.



A = 670 × 2.571841
A = $1723.13
The difference of the value after 15 years = 1874.64 - 1723.13 = $151.51
The value of first coin will be $151.51 more than second coin in 15 years.