Answer:
Parallel: y=-4x-1
Perpendicular: y=-4x+13/2
Step-by-step explanation:
For the equation y=-4x-41, the slope is -4. Writing a line related to this equation has two options:
- If the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-7)=-4(x--2)
y-7=-4x-8
y=-4x-1
- If the line will be perpendicular to it then the slope is the negative reciprocal of the previous slope. It is 1/4.
(y-7)=1/4(x--2)
y-7=1/4x-1/2
y=-4x+13/2
9514 1404 393
Answer:
$6307.95
Step-by-step explanation:
The compound interest formula can help with that.
A = P(1 +r/n)^(nt) . . . . value of principal P at rate r for t years, compounded n times per year.
P = A(1 +r/n)^(-nt) = $8000(1 +0.04/2)^(-2·6) = $8000(1.02^-12) = $6307.95
Momba needs to deposit $6307.95 today to have $8000 in 6 years.
Answer:
$8.75
Step-by-step explanation:
If you do
$3.50 x 2.5 you get
$8.75
Parameterize ![S{/tex] by[tex]\vec s(u,v)=u\,\vec\imath+v\,\vec\jmath+(8-u^2-v^2)\,\vec k](https://tex.z-dn.net/?f=S%7B%2Ftex%5D%20by%3C%2Fp%3E%3Cp%3E%5Btex%5D%5Cvec%20s%28u%2Cv%29%3Du%5C%2C%5Cvec%5Cimath%2Bv%5C%2C%5Cvec%5Cjmath%2B%288-u%5E2-v%5E2%29%5C%2C%5Cvec%20k)
with 
and 
.
Take the normal vector to 
to be
Then the flux of 
across is
Answer:
Applying the Pythagorean theorem, the diagonal is calculated by:
D = sqrt(40^2 + 9^2) = 41
Hope this helps!
:)
