Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
see work attached and shown
Hello!
If Katia can buy packages of jars for $9, we can determine how many packages she can purchase with $45 by using the formula:
45/9 = 5
We divide the total number of money that she has by the amount of money one package of jars costs. Now, the question also asks how many jars she can buy, not just how many packages.
We know that she can buy 5 packages, and that there are 12 jars in each package. To find the total number of jars she can buy, we will multiply 5 by 12.
5 x 12 = 60
Katia can buy 60 jars with $45.
I hope this helps you! Have a lovely day!
- Mal
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
