The simplified rational expression for that is 2
10 in; if the original 100% was 5 in, then you multiply that by 2.
Answer: 5.2cm^3
Steps:
Volume of a cylinder- V = π * r^2 * h
146.952 = π * 3^2 * h
146.925 = π * 9 *h
146.925 = 28.2743338823 * h
146.925 / 28.2743338823 = h
5.19640889201 = h
5.2 = h
Given:
Percent Amount $
Fund A 3% $4000
Fund B 1% x
Total Funds 8% $4000 + x
Find:
Fund B Investment
Solution:
$4000 * .03 + .10 * x = .08% ($4000 + x)
We already know 3 rates and one amount invested
$4000 * .03 + .10 * x = .08% ($4000 + x)
Multiply them out:
120 + (0.10 * x) = 320 + 0.08x
Now, we combine like terms.
.10x – 0.08x = 320 – 120
.02x = 200
Isolate x
x = 200 / 0.02
Divide
x = $10,000
Checking:
($4000 * .03) + (.10 * 10,000) = .08% ($4000 + 10,000)
120 + 1000 = 320 + 800
1120 = 1120
Therefore, fund B has an investment of $10,000.