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Iteru [2.4K]
3 years ago
7

Jake has decided to invest in three business ventures. The total cost of investing in all three ventures is $15,000. The combine

d investment in the first and third ventures is $7,000 more than the investment in the second venture. According to Jake's research, his investment in the first venture will triple after three years, and the investments in the other two ventures will double in the same period, making the total value of his investment $39,000. Jake's investment in the first venture is $, his investment in the second venture is $, and his investment in the third venture is $. NextReset
Mathematics
2 answers:
Arte-miy333 [17]3 years ago
7 0
X = first venture, y = second venture, z = third venture

x + y + z = 15,000
x + z = y + 7000
3x + 2y + 2z = 39,000
these are ur equations.....

x + y + z = 15,000
x - y + z = 7000
--------------------add
2x + 2z = 22,000

x + y + z = 15,000....multiply by -2
3x + 2y + 2z = 39,000
-------------------
-2x - 2y - 2z = - 30,000 (result of multiplying by -2)
3x + 2y + 2z = 39,000
------------------add
x = 9,000

2x + 2z = 22,000
2(9000) + 2z = 22000
18,000 + 2z = 22000
2z = 22000 - 18000
2z = 4000
z = 4000/2
z = 2,000

x + y + z = 15,000
9000 + y + 2000 = 15,000
11,000 + y = 15,000
y = 15,000 - 11,000
y = 4,000

first venture (x) = 9,000 <==
second venture (y) = 4,000 <==
third venture (z) = 2,000 <==
Simora [160]3 years ago
4 0

Answer:

This passage tells of Venture’s  

capture and enslavement

What happened when Venture’s father refused to turn over his money?  Check all of the boxes that apply.

He was tortured.  

He was killed.

Step-by-step explanation:

I'm on edgenuity

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Answer:

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Step-by-step explanation:

Hi!

Lets call:

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The rate of change of T is its derivative with respecto to time. If T > T₀, the object looses heat, so T decreases. Then, being k > 0:

\frac{dT}{dt} = -k(T-T_0) \\

In this case T₀ = 70ºF and k = 0.05/min. Then the differential equation is:

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3 years ago
5 2/3 divided by 3/2
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Answer: 34/9

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7 0
3 years ago
Read 2 more answers
Evaluate the surface integral:S
rjkz [21]
Assuming S does not include the plane z=0, we can parameterize the region in spherical coordinates using

\mathbf r(u,v)=\left\langle3\cos u\sin v,3\sin u\sin v,3\cos v\right\rangle

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x^2+y^2=9\cos^2u\sin^2v+9\sin^2u\sin^2v=9\sin^2v
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Then the surface integral is equivalent to

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We have

\dfrac{\partial\mathbf r(u,v)}{\partial u}=\langle-3\sin u\sin v,3\cos u\sin v,0\rangle
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\implies\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle-9\cos u\sin^2v,-9\sin u\sin^2v,-9\cos v\sin v\rangle
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\displaystyle243\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv\,\mathrm du
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4 0
3 years ago
GREATEST COMMON FACTOR OF 8 OF 36
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Answer:

4

Step-by-step explanation:

greatest common factor means the largest positive number that can divide both terms

if you divide 8 by 4 = 2

and if you divide 36 by 4 = 9

8 0
3 years ago
Read 2 more answers
1. If a polynomial of Degree 4 has an imaginary zero at -2i and a real zero at 5, how many imaginary zeros does it have?
Vadim26 [7]

Answer:

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Step-by-step explanation:

So far we have 1-2i and 1+2i as roots.  We need two more to make a 4th degree polynomial.

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(x - 1)(x - 1) = x2 - x - x + 1 = x2 - 2x + 1

Now multiply the two underlined expressions:

y = (x2 - 2x + 5)(x2 - 2x + 1)

= x4 - 2x3 + 5x2 - 2x3 + 4x2 - 10x + x2 - 2x + 5  by multiplying term by term

= x4 - 4x3 + 10x2 -12x + 5 by collecting like terms.

4 0
3 years ago
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