Answer:
25/14
Step-by-step explanation:
Answer: 2343 / 256
Explanation
I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.
1) Adding the terms:
4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0
= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =
= 2343 / 256
2) Using the formula:
n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0
Here n - 1 = 4 => n = 5
r = 3/4
A = 3
Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =
= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =
= (3 * 781) / (4^5) / (1/4) = 3 * 781 / (4^4) = 2343 / 256
So, no doubt, the answer is 2343 / 256
No beacuse 1/4 would be less that 1/2 it's common sense
Answer:
180
Step-by-step explanation:
So, lets go over what we know:
5% of x = 9
Thinking of this in decimal form, this is:
0.05 * x = 9, or 0.05x = 9
To find the answer, we must multiply both sides to get 1x.
Since 0.05 is 1/20 of 1, we must multiply both sides by 20:
0.05x * 20 = 0 * 20:
1x = 180
So the answer is 180!
Hope this helps!
I would say, the best way and the fastest way, is to go to some banks and ask them how much interests they give you... then the bank that gives you the most interest, the bank that you are looking for.
