Factors: 1, 2, 4, 5, 8, 10, 20, 40
P=400 (your amount invested)
r=.02 (rate as a decimal)
n=1 (number of times compounded per year, annually meaning 1)
t=6 (number of years invested)
you must follow orders of operations when you plug these things in your calculator.
1st step) do .02/1 to get 0.2 then add 1 to get 1.02. raise this to (1*6)and you get roughly 1.126, now multiply this by 400 to get answer D 450.46.
Answer: NO
<u>Step-by-step explanation:</u>
In order for the function to be one-to-one, it must pass the vertical line test AND the horizontal line test.
The vertical line test is where you draw a vertical line anywhere and the line will not intersect the graph more than one time. In other words, the function cannot contain a duplicate x-value.
The horizontal line test is where you draw a horizontal line anywhere and the line will not intersect the graph more than one time. In other words, the function cannot contain a duplicate y-value.
The graph provided passes the vertical line test but fails the horizontal line test. <em>One example is that there are two x-intercepts.</em>
1
1x7=7
1+7=8
1 is the answer
Using the dot product:
For any vector x, we have
||x|| = √(x • x)
This means that
||w|| = √(w • w)
… = √((u + z) • (u + z))
… = √((u • u) + (u • z) + (z • u) + (z • z))
… = √(||u||² + 2 (u • z) + ||z||²)
We have
u = ⟨2, 12⟩ ⇒ ||u|| = √(2² + 12²) = 2√37
z = ⟨-7, 5⟩ ⇒ ||z|| = √((-7)² + 5²) = √74
u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46
and so
||w|| = √((2√37)² + 2•46 + (√74)²)
… = √(4•37 + 2•46 + 74)
… = √314 ≈ 17.720
Alternatively, without mentioning the dot product,
w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩
and so
||w|| = √((-5)² + 17²) = √314 ≈ 17.720
