4 1/5 + B = 9 3/5
21/5 + B = 48/5
B = 27/5
B = 5 2/5
Letter C is the correct answer!
Hope this helps! ;)
Answer : Option D
Step by step explanation :
There is a 50-50 chance of snowing in Hawaii.
Answer: 13%
Step-by-step explanation:
We know that the formula to find the simple interest :
, where P is the principal amount , r is rate (in decimal )and t is the time period (in years).
Given : Albert borrowed $19,100 for 4 years. The simple interest is $9932.00. Find the rate.
i.e. P = $19,100 and t= 4 years and I = $9932.00
Now, Substitute all the values in the formula , we get
![9932=(19100)r(4)\\\\\Rightarrow\ r=\dfrac{9932}{19100\times4}\\\\\Rightarrow\ r=0.13\ \ \ \text{[On simplifying]}](https://tex.z-dn.net/?f=9932%3D%2819100%29r%284%29%5C%5C%5C%5C%5CRightarrow%5C%20r%3D%5Cdfrac%7B9932%7D%7B19100%5Ctimes4%7D%5C%5C%5C%5C%5CRightarrow%5C%20r%3D0.13%5C%20%5C%20%5C%20%5Ctext%7B%5BOn%20simplifying%5D%7D)
In percent, 
Hence, the rate of interest = 13%
The correct answer is B) No, because there is not a fixed number of trials.
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
