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kykrilka [37]
3 years ago
9

Simplify the square root of 50x^7y^10

Mathematics
1 answer:
Alecsey [184]3 years ago
7 0
\sqrt{50x^{7}y^{10}} = \sqrt{50}* \sqrt{(x^{3})^{2}*x} * \sqrt{(y^{5})^{2}}  =5 \sqrt{2}*x^{3} \sqrt{x} *y^{5}= \\  \\ 5x^{3}y^{5} \sqrt{2x}
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if you deposit $8000 into an account paying 9% annual interest compunded semi anually how long will it take for your money to do
Anna007 [38]

Answer:

7.87 years

Step-by-step explanation:

#First we determine the effective annual rate based on the 9% compounded semi annual;

i_m=(1+i/m)^m-1\\\\=(1+0.09/2)^2-1\\\\=0.09203

#We then use this effective rate in the compound interest formula to solve for n. Given that the principal doubles after 2 yrs:

A=P(1+i)^n\\\\A=2P, i=i_m\\\\16000=8000(1.09203)^n\\\\2=1.09203^n\\\\n=\frac{log \ 2}{log \ 1.09203}\\\\=7.87324\approx7.87 \ yrs

Hence, it takes 7.87 years for the principal amount to double.

4 0
3 years ago
what are the coordinates of the point on the directed line segment (-1,-2) to (9,-10) that partitions the segment into a ratio o
Ymorist [56]

Answer:

[6.5,-7.25]

Step-by-step explanation:

Given the partitioning ratio as 3:1

#Find the length of the x-coordinate and multiply by the ratio:

x length=9--1=10

=>\frac{1}{4}\times 10=2.5

#We subtract 2.5 from the x-max to get the point=9-2.5=6.5

#Find the length of the y-coordinate and multiply by the ratio:

x length=-9--2=-7

=>\frac{1}{4}\times -7=-1.75

#We subtract -1.75 from the y-max to get the point=-9--1.75=-7.25

Hence,  the coordinates that partitions the segment into a ratio of 3 to 1 is [6.5,-7.25]

4 0
3 years ago
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GrogVix [38]
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Step-by-step explanation:

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Step-by-step explanation:

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