Answer:
Depends on area
Step-by-step explanation:
Area of 1 greater than 2 than 3 than 4
<h2>
Answer:</h2>
a. <-13/2,-13/2>
<h2>
Step-by-step explanation:</h2>
The projection of a vector u onto another vector v is given by;
=
----------------(i)
Where;
u.v is the dot product of vectors u and v
|v| is the magnitude of vector v
Given:
u = <-6, -7>
v = <1, 1>
These can be re-written in unit vector notation as;
u = -6i -7j
v = i + j
<em>Now;</em>
<em>Let's find the following</em>
(i) u . v
u . v = (-6i - 7j) . (i + j)
u . v = (-6i) (1i) + (-7j)(1j) [Remember that, i.i = j.j = 1]
u . v = -6 -7 = -13
(ii) |v|
|v| = 
|v| = 
<em>Substitute these values into equation (i) as follows;</em>
= ![[\frac{-13}{(\sqrt{2}) ^2}][i + j]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B-13%7D%7B%28%5Csqrt%7B2%7D%29%20%5E2%7D%5D%5Bi%20%2B%20j%5D)
= ![\frac{-13}{2} [i + j]](https://tex.z-dn.net/?f=%5Cfrac%7B-13%7D%7B2%7D%20%5Bi%20%2B%20j%5D)
This can be re-written as;
= 
= 
Answer:
horizontal
Step-by-step explanation:
Rise over Run
Rise is up, or vertical and Run is across, or horizontal.
When

, you have

.
When

, you have

.
Clearly,

.
Assume

. Now when

, you have

Therefore by induction the sequence is monotone (decreasing).
Answer:
Step-by-step explanation:
I think this is the equation for annual compunt interest
FV = PV(1 + int)^time PV is present value FV is the future value
PV + Interest = FV
FV - PV = Interest
FV - PV
Interest = [3000(1 + 0.03)^30] - 3000
= 3000(1.03)^30 - 3000
= 3000(2.4272) - 3000
= 7281.79 - 3000
= $4282 to the nearest dollar <------------ Fianl Answer