A pack of 6 red pens cost £2.76 what is the price per pen
2 answers:
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Answer:
This proof can be done by contradiction.
Let us assume that 2 - √2 is rational number.
So, by the definition of rational number, we can write it as
where a & b are any integer.
⇒
Since, a and b are integers is also rational.
and therefore √2 is rational number.
This contradicts the fact that √2 is irrational number.
Hence our assumption that 2 - √2 is rational number is false.
Therefore, 2 - √2 is irrational number.
<span>Compound interest formula</span>
Where
<span>
A= Future value
P =
the Principal (the initial amount of money)
r = annual interest rate</span>
t = time
<span>n= number of times compounded in one tRemark
----------------------------------------------------------------------------------
r is generally a percentage like 3%, 7% etc and are applied in the formula as 0.03, 0.07...,
the interest is compounded generally annually (n=1), quarterly (n=4), monthly (n=12), etc...
t is in years,
In our problem:
</span>
A= 30 000
P =20 000
r = 15%=0.15
time = t = ?
n= 4applying the formula:
75% of 12 months is 3/4 of 12 months, which is 9 months
Answer: 2 years, 9 months
Answer:
14/45
Step-by-step explanation:
So we have the fraction:
We can do this algebraically. Follow to following steps:
Let's let this number equal to n. Thus:
Since there is only 1 digit repeating, let's multiply everything by 10. So:
Now, subtract n from both sides:
On the left, substitute the number for n. On the right, combine like terms:
All of the 1s will cancel. So:
Subtract:
Divide both sides by 9:
Remove the decimal by multiplying both sides by 10:
Reduce:
And we're done!
Use a calculator to check: