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Anastasy [175]
3 years ago
15

For any positive integer n, prove that n^3-n is divisible by 6.please answer ​

Mathematics
1 answer:
ikadub [295]3 years ago
3 0

Answer:

yes it is true

Step-by-step explanation:

if we take n=2 then

2°3-2=8-2=6

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Kym plans to deposit $100 in an account at the end of each month for the next five years so that she can take a trip. (a) If Kym
yaroslaw [1]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Monthly deposit= $100

Interest rate= 0.06/12= 0.005

Number of periods= 12*5= 60 months

<u>a)</u>

<u>To calculate the future value, we need to use the following formula:</u>

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.005^60) - 1]} / 0.005

FV= $6,977

b) <u>If the deposit is at the beginning of the month, the interest is compounded one more period</u>. We need to use the following formula:

FV= {A*[(1+i)^n-1]}/i + {[A*(1+i)^n]-A}

FV= 6,977 + {[100*(1.005^60)] - 100}

FV= 6,977 + 35

FV= $7,012

3 0
3 years ago
A circle has a diameter with endpoints of (-3, 8) and (7, 4). What is the center of the circle?
QveST [7]
(2, 6) because it is halfway between both endpoints
3 0
3 years ago
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If f(x)=x^2 what is g(x)<br> A. g(x)=1/9x^2<br> B. g(x)=(1/3x)^2<br> C. g(x)=3x^2<br> D. g(x)=1/3x^2
Pavlova-9 [17]

Answer:

the answer is B

Step-by-step explanation:

3 0
3 years ago
what are the factors of 47 (cuz im STUPID and i dont feel like doing this cuz im working on geogrophy)
Hitman42 [59]

Hey there! I'm happy to help!

The factors are the numbers you multiply to get 47. And they can't be fractions or numbers with fractions. They have to be integers (numbers without fractions).

So far, we see that we can multiply 1 and 47 to get 47. To see if there are any more, we see what numbers 1-10 we can divide by.

We cannot divide by 2 because 47 is odd.

We cannot divide by 3 because it gives us 15.6666...

We can't divide by 4 because 47 is odd.

We can't divide by 5 because 47 does not have a 5 or 0 in the ones place.

We can't divide by 6 because 47 is odd.

We can't divide by 7 because it gives us 6.714285....

We can't divide by 8 because 47 is odd.

We can't divide by 9 because it gives us 5.2222

And we obviously can't divide it by 10.

Therefore, the factors of 47 are 1 and 47. A number whose only factors are 1 and itself is called a prime number.

I hope that this helps! Have a wonderful day! :D

3 0
3 years ago
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A cylinder has a radius of 24 m and a height of 9 m, what is exact volume of the cylinder
bixtya [17]
Is there anything to choose from
3 0
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