113.10 feet, 16,286 square inches, 12.566 square yards, 10.507 square meters, 105,071 square centimeters
Because its under 6 you must round it down to 38.20 if it was 38.68 for example it would be 38.70
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
The 24 inch shelve is 2 feet ( 1 foot = 12 inches)
She bout 7 feet of shelves (5 + 2 = 7)
The total cost for the shelves was 7 x 1.25 = $8.75
She spend an additional 90 so her total spent was 90 + 8.75 = $98.75
Now subtract her total from 100 to find the amount of change:
100 - 98.75 = 1.25
The change was $1.25
