Answer:
graph attached
Step-by-step explanation:
A graph is a pictorial representation that represent the relationship between two or more things.
Cosine function is periodic with period 
. If the point 
lies on the graph, point 
will also lie on the graph where k is any integer.
Here,
![cos(x-\pi )=cos[-(\pi -x)]=cos(\pi -x)=-cos x](https://tex.z-dn.net/?f=cos%28x-%5Cpi%20%29%3Dcos%5B-%28%5Cpi%20-x%29%5D%3Dcos%28%5Cpi%20-x%29%3D-cos%20x)
Answer:
$540.98
Step-by-step explanation:
future value= $ 50,000
number of deposits (n)= 8*12 = 96
rate (r) = 4% per month
= 4÷12 per annum
= 0.33% p.a
i = 0.33÷100
= 0.0033
We know,
Future value of annuity = P÷i [ (1 + i)^n - 1 ]
$50,000 = P÷ 0.0033 [ ( 1+0.0033)^96 - 1]
$50,000 * 0.0033=P [ (1.0033)^96 - 1 ]
$165 = P*0.305
P = $165÷0.305
P = $ 540.98
Rough::
let x= 1.0033)^96
log x = 96 * log (1.0033)
log x = 0.1156
x = Antilog (0.1156)
= 1.305
1.305 - 1 = 0.305
The answer is N(-3,3) the formula of reflecting across the x-axis is (x,-y)
The exponential equation that matches the coordinate is 3(2)^x while the linear equation is y = 6x
<h3>Exponential equation</h3>
The standard exponential equation is expressed as y= ab^x
where
a is the base
x is the exponent
Given the coordinates (2, 12) and (4, 48)
12 = ab^2
48 = ab^4
Find the ratio
4 = b^2
b = 2
Sice ab^2 = 12
4a = 12
a = 3
The exponential equation that matches the coordinate is 3(2)^x
<u>For the linear equation</u>
The standard form is y = mx + b
m is the slope = 48-12/4-2
Slope = 12/2
Slope = 6
For the y-intercept
12 = 6(2) + b
b = 0
Hence the required linear equation is. y = 6x
Learn more on exponential and linear equation here: brainly.com/question/2456547
#SPJ1
The symbol ₁₂P₉ represents the permutations of 9 quantities out of 12.
By definition,
From the calculator,
12! = 479,001,600
3! = 6
Therefore
₁₂P₉ = 479001600/6 = 79,833,600
Answer: 79,833,600
