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emmainna [20.7K]

3 years ago

9

1. Nikita invests 6,000 for two years at a certain rate of interest compounded annually. At the end of first year it amounts to

? 6,720
plzzzz tell me

1 answer:

Sladkaya [172]3 years ago

4 0

Answer:

Hope it is helpful and useful

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Find the greatest solution for x+y when x^2+y^2 = 7, x^3+y^3=10

damaskus [11]

Answer:

4

Step-by-step explanation:

set

$f(x,y)=x+y\\$

constrain:

$g(x,y)=x^2+y^2 = 7\\h(x,y)=x^3+y^3=10$

Partial derivatives:

$f_{x}=1\\f_{y} =1 \\g_{x}=2x \\g_{y}=2y\\h_{x}=3x^2 \\h_{y}=3y^2$

Lagrange multiplier:

$grad(f)=a*grad(g)+b*grad(h)\\$

$\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]$

4 equations:

$1=2ax+3bx^2\\1=2ay+3by^2\\x^2+y^2=7\\x^3+y^3=10$

By solving:

$a=4/9\\b=-2/27\\x+y=4$

Second mathod:

Solve for x^2+y^2 = 7, x^3+y^3=10 first:

$x=\frac{1}{2} -\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} +\frac{\sqrt{13}}{2} \\x=\frac{1}{2} +\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} -\frac{\sqrt{13}}{2} \\x+y=-5\ or\ 1 \or\ 4$

The maximum is 4

6 0

3 years ago

A legal firm offers some services "pro bono", which means that they work for clients free of charge. The legal firm accepted 2%

Alexxandr [17]

I think it is 12600 is the answer

5 0

3 years ago

Read 2 more answers

Bob can make 7 quilts with 21 yards of material. How many yards of material would be required to make 10 quilts

Katyanochek1 [597]

Its 30 you find the unit rate by 21÷7 which equals 3 then you multipy 3x10 which gives you 30

8 0

3 years ago

The population of weights for men attending a local health club is normally distributed with a mean of 178-lbs and a standard de

V125BC [204]

Answer:

183.4286 lbs

Step-by-step explanation:

given that the population of weights for men attending a local health club is normally distributed with a mean of 178-lbs and a standard deviation of 25-lbs.

Total weight in the lift should not exceed 6420 lbs

No of persons limited = 35

Hence average weight of the person that should be below

$\frac{6420}{35} \\=183.4286$

If the average exceeds 183.4286 pounds then the elevator would be considered overloaded.

6 0

3 years ago

What is 1.58 in standard form?

ella [17]

1 one and 58 hundredths.

I hope you like this answer, and have a good night and life! :D

8 0

4 years ago