3.50/35 in lowest terms is:
3.50/35
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Answer:
20% of 90 is 18.
Step-by-step explanation:
18 x 5 = 90
Multiply by 5 because 5 x 20% = 100%
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Answer:
1,539
Step-by-step explanation:
Using Simple Random Sampling in an infinite population (this is such a large population that we do not know the exact number) we have that the sample size should be the nearest integer to
where
<em>Z= the z-score corresponding to the confidence level, in this case 90%, so Z=1.645 (this means that the area under the Normal N(0,1) between [-1.645,1.645] is 90%=0.9)
</em>
<em>p= the proportion of young urban people (ages 21 to 35 years) who go to at least 3 concerts a year= 35% = 0.35
</em>
<em>q = 1-p = 0.65
</em>
<em>e = the error proportion = 2% = 0.02
</em>
Making the calculations
So, the sample size should be 1,539 young urban people (ages 21 to 35 years)
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.