Answer:
If he has 45% of his cheak remaining we already have the remaining so we just to turn it into a fraction
First we put it over 100
<u>45</u>
100
Then we reduce it to the lowest terms
which would be
9/20
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
Answer:
The length is 10 cm
Step-by-step explanation:
The area is given by length times width
A = l*w
We have an area of 80 cm^2 and a width of 8
80 = l*8
Divide each side by 8
80/8 = 8l/8
10 = l
The length is 10 cm
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Answer: 2.92
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
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Answer:
1
Step-by-step explanation:
The amplitude is 1.
This graph does not go through the origin, but has been translated up by 1 unit. If you draw a horizontal line through y = 1 you will see that the maximum distance the curve reaches above y = 1 is 1, which is the amplitude.
