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2 years ago

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the number of employees for a certain company had been decreasing each year by 8%. If the company currently has 860 employees an

d this rate continues, fund the number of employees in 19 years.

1 answer:

rosijanka [135]2 years ago

6 0

860(1-(8)/(100))^(19) solve that

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Find the work required to move an object in the force field F = e^x + y (1, 1, z) along the straight line from A(0, 0, 0) to B(-

DENIUS [597]

$\vec F(x,y,z)=(e^x+y)(1,1,z)$

is conservative if we can find a scalar function $f$ such that $\nabla f=\vec F$ . This would require

$f_x=e^x+y$

$f_y=e^x+y$

$f_z=(e^x+y)z$

Integrating both sides of the first equation wrt $x$ gives

$f(x,y,z)=e^x+xy+g(y,z)$

Differentiating both sides of this wrt $y$ gives

$f_y=x+g_y=1\implies g_y=1-x\implies g(y,z)=y-xy+h(z)$

but we assumed $g$ was a function of $y$ and $z$ , independent of $x$ . So there is no such $f$ and $\vec F$ is not conservative.

To find the work, first parameterize the path (call it $C$ ) by

$\vec r(t)=(1-t)(0,0,0)+t(-4,5,-5)=(-4t,5t,-5t)$

for $0\le t\le1$ . Then

$\vec r'(t)=(-4,5,-5)$

and the work is given by the line integral,

$W=\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_0^1(e^{-4t}+5t,e^{-4t}+5t,-(e^{-4t}+5t)5t)\cdot(-4,5,-5)\,\mathrm dt$

$W=\displaystyle\int_0^1(125t^2+5t+(25t+1)e^{-4t})\,\mathrm dt=\boxed{\frac{2207}{48}-\frac{129}{16e^4}}$

8 0

2 years ago

Part 3: The Space Inside! 1. Find the volume of the shipping box using the two methods and show your work: A. Packing cubes B. U

In-s [12.5K]

Answer:

Don't click the site its a scam and will give your phone a virus

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2 years ago

Whats the answers to 5^x+4= 625

professor190 [17]

Answer:

x=0

Step-by-step explanation:

First make the bases the same.

5^x+4 = 5^4

Now since the bases are the same it also means that the power should also be the same.

So: x+4 = 4

x=0

6 0

2 years ago

notsponge [240]

Answer :

Choice B because it is the only one that makes sense

6 0

2 years ago

Read 2 more answers

The binomial x+7 is a factor of polynomial p. Use this information to complete the equation. p( )=??

ipn [44]

Answer:p(-7)=0

Step-by-step explanation:

This is the answer Plato gave me

3 0

2 years ago