The value of |kl - |m| if k= -8 and m = -5 is . <br><br> PLEASE HELP

Sam deposits $18,000 each year into a retirement account with a 3.5% simple interest rate. If he deposits the same amount each y

schepotkina [342]

Simple Interest Rate
18,000X 0.35X4 =

3 0

4 years ago

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A certain roller coaster can accommodate 1600 riders per hour a digital sign states that there are 345 people in line if you get

sergiy2304 [10]

Given that the <span>roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

Given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

Therefore, it will take you 12.94 minutes to get to the front of the line.
</span>

8 0

3 years ago

ROUND 90998.0014483 TO THE NEAREST TEN. HELP!

djverab [1.8K]

91000
when it says nearest ten you ignore the decimals and look at 90998 the nearest ten of 998 is 1000 so keep the nine at the beginning and you have 91000

4 0

4 years ago

We need to optimize f(x, y, z) = x + 2y subject to the constraints g(x, y, z) = x + y + z = 8 and h(x, y, z) = y2 + z2 = 4. To f

Evgesh-ka [11]

The Lagrangian is

$L(x,y,z,\lambda,\mu)=x+2y+\lambda(x+y+z-8)+\mu(y^2+z^2-4)$

with critical points where the partial derivatives vanish:

$L_x=1+\lambda=0\implies\lambda=-1$

$L_y=2+\lambda+2\mu y=0\implies\mu=-\dfrac1{2y}$

$L_z=\lambda+2\mu z=0\implies\mu=\dfrac1{2z}$

$L_\lambda=x+y+z-8=0$

$L_\mu=y^2+z^2-4=0$

The second and third equations tell us $z=-y$ , so that in the last equation we find

$y^2+(-y)^2=2y^2=4\implies y=\pm\sqrt2\implies z=\mp\sqrt2$

and from the fourth equation we get

$x+y+z=x=8$

So we have two critical points, $(8,\sqrt2,-\sqrt2)$ and $(8,-\sqrt2,\sqrt2)$ , which give respective extreme values of $f(8,\sqrt2,-\sqrt2)=8+2\sqrt2$ (maximum) and $f(8,-\sqrt2,\sqrt2)=8-2\sqrt2$ (minimum).