Step-by-step explanation:
8x + x² - 2y + y² - 64 = 0
(x + 4)² + (y - 1)² - 81 = 0
(x + 4)² + (y - 1)² = 81
Hencr the center is (-4,1) and the radius is 9.
This is a growth exponential equation.
It can be solved 2 ways, but one of them is long and cumbersome and not worth the effort. You could take 2% of the base number and keep doing it 8 times.
The other way is to realize that 100$ + 2% of 100 dollars can be written as 2% = 2/100 = 0.02 and that can be written as
100( 1 + 0.02 ) = 100(1.02) Now if you want this to be raised 8 times, it will look like this
y = 100(1.02)^(n - 1) for any number of weeks
y(8) = 100(1.02)^7 = 114.87
So at week 1 she has 100 dollars and at week 8 she has 114.87 dollars.
CommentRealize that if her boss does not want to give her compounded interest that she could still make
Ln = L
= 100 + (n - 1)*0.02*100
L
= 100 + 7*0.02*100 = 100 + 14. = 114
By compounding she makes a whole 0.87$ more.
Answer:
A. 10
B. 300
C. -3
D. -3,567
Step-by-step explanation:
im pretty sure this is coreect i apologize if not
Answer:
15,000
Step-by-step explanation:
initial amount is basically the starting amount
Answer:
See answers and explanations below (along with a visual graph)
Step-by-step explanation:
For the function :
Amplitude:
Period:
Phase shift:
Vertical shift:
Therefore, for :
Amplitude: , which is 2 units above and below the midline (see d)
Period: , so the cycle will repeat every 3π units
Phase shift: , or π units to the left
Vertical shift: , or 1 unit down