Answer: shifted by 3*pi/2 units to the right.
Step-by-step explanation:
Here we have:
y = sin(x - 3*pi/2)
now, you need to remember this:
if we have y = f(x)
then y' = f(x - A) is the graph of y, shifted A units to the right (where A is a positive number).
If A is negative, the shift is to the left.
Then in this case, we have:
sin(x) -----> sin( x - 3*pi/2)
A = 3*pi/2
Then we have the graph shifted by 3*pi/2 units to the right.
Answer:
0.435897 km per minute
Step-by-step explanation:
The payments are ...
A = P(r/n)/(1 -(1+r/n)^(-nt))
where P is the principal amount, $699,000*0.80 = $559,200
r is the annual interest rate, 0.05
n is the number of compoundings per year, 12
t is the number of years.
Then
A = 559,200*(0.05/12)/(1 -(1 +0.05/12)^(-12*35)) = 2822.21
The total of 420 of these payments is $1,185,328.20, which is $626,128.20 more than the loan amount.
Jamie's total finance charge is about $626,128.20.
_____
There is always some minor adustment required in the amount of the last payment. That has not been taken into account here.
Answer:
y= 1x - 1
Step-by-step explanation:
Slope-intercept form: y=mx + b
(-4,-5) (5,4)
m= (y2 - y1)/(x2 - x1) = (4+5)/(5+4)=1
4=1(5)+b
4=5 + b 4-5=b b= -1
y= 1x - 1
Answer:
7i
Step-by-step explanation:
We know that i = √-1
Then solving the given:
- √-49 = √49×(-1) = √49 × √-1 = 7×√-1 = 7i
So the answer is:
