The quotient to 1.44 and 0.4 equals to 3.6
Do what that person with the long explanation says it’s most likely right!!
Sqrt of 125
10^2 +b^2= 15^2
100 +b^2=225
B^2=125
No perfect square for 125 so leave it in radical form
Since simple interest doesn't involve compounding, the same amount gets added on every year. So, the equation for the simple interest received is
, where
is the total interest,
is the original deposit (or "principal"),
is the interest rate, and
is the time passed in years.
Plugging in our values, we can solve for the interest rate:
We can determine this to be a Geometric Sequence with:
a = 2
r = 1/2
an = ?
We must first find an. We know that an = 1/256, therefore we can use this formula to discover an:
an = a * r^n-1
1/256 = 2 * 1/2^n-1
<span>1/256 / 2 = 1/2^n-1
</span>1/512 = 1/2^n-1
<span>log(1/512) = log(1/2^n-1)
</span>9 = n - 1
10 = n
Therefore, we know an = 10
Now we input it into this equation and solve:
Sn = a(1-r^n/1-<span>r)
</span>Sn = 2(1-1/2^10/1-1/2<span>)
</span>Sn = 2(1023/1024 / 1 / 2)
Sn = 2(1023/1024 * 2 / 1)
<span>Sn = 2(2046/1024)
</span><span>Sn = 2(1023/512)
</span>Sn = 1023/256
Sn = 3.992
Geez, that took awhile... xD
