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gayaneshka [121]
2 years ago
11

The interest on $2,000 for 2 years is $320. What is the simple interest rate?

Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
8 0
12.5%

Explanation. 320/2=160 2000/160=12.5
So 12.5% per year
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June needs 48 gallons of punch
LenaWriter [7]

Answer:

David needs 36.style="color:rgb(72,72,72);background-color:transparent;"> gallons of punch for a party and has two different coolers to carry it in. The bigger cooler is 5. times as large as the smaller cooler.

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2 years ago
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Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software,
grandymaker [24]

Solution:

There is no saddle point (DNE). However, there is local maximum at (1, 1/2) for the given function.

Explanation:

we have function of two variables f(x,y)= 9-2x+4y-x^2-4y^2

we will find the values by partial derivative with respect to x,y,xy

f_{x}= -2 -2x

f_{y}= 4 -8y

to find the saddle point we should first find the critical points so equate

-2 -2x=0 and   4 -8y=0

we get x= 1  and y =1/2 so, critical points are (1,1/2)

to find local maximum or minimum we have to find f_{xx},  f_{yy} and f_{xy}

formula is f_{xx} *f_{yy} - f^{2_{xy} } =0

f_{xx} = -2

f_{yy} = -8

f^{2_{xy} } =0

putting values in formula

(-2)*(-8) -0 =16 > 0, and f_{xx}< 0  and f_{yy}<0

so, here we have local maximum

we have no saddle point for this function by using the same formula we used to find extrema.



4 0
2 years ago
Read 2 more answers
Find the distance between the points L(7, -1) and M(-2, 4).
VLD [36.1K]

Answer:

(5-5)

Step-by-step explanation:

hope this helped

5 0
2 years ago
the diagonal of a tv is 26 inches long assuming that this diagonal forms a tv pair 30-60-90 right triangles what are the exact l
Alexxandr [17]
It is an application of Pythagorean Theorem

And it is clear that the lower angle is 30 and the apex angle is 60 (this is how always normal TVs look like) ... refer to the image I attached

So, to calculate the width and the length:

\frac{length}{26} =cos(30)\\~\\length=26*cos(30)=13 \sqrt{3} ~~in

\frac{width}{26} =sin(30)\\~\\width=26*sin(60)=13~~in


You can after that round the length to be 22.517 in



Hope you got the idea

3 0
2 years ago
At a garage sale, Susan found a vase for $5. She was able to negotiate the price of the vase to $4.
qaws [65]

Answer:

20% off

Step-by-step explanation:

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