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horsena [70]
3 years ago
11

Aster corporation accepted a $20,000, 9 percent 120-day note dated august 25 from lee company in settlement of a past bill. On O

ctober 25, Aster Corporation decided to discount the note at a discount of 8 percent. The proceeds to Aster Corporation are (blank)
Mathematics
1 answer:
serious [3.7K]3 years ago
6 0

Answer:

$20, 533.33

Step-by-step explanation:

From the question, we are given the following values

Principal = $20000

Rate = 8% = 0.08

Time( in years) = 120days = 4 months = 4/12 years = 1/3 years

Interest = Principal × Rate × Time

Interest = 20,000 × 0.08× (1/4)

Interest = $533.33

Hence, the proceeds to Aster Corporation are

$20000 + $533.33

= $20,533.33

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A sample of 12 measurements has a mean of 38 and a sample standard deviation of 4.25. Suppose that the sample is enlarged to 14
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Answer:

The sample standard deviation of the 14 measurements is 3.93

Step-by-step explanation:

The standard deviation = √(variance)

The standard deviation is the square root of variance. And variance is an average of the squared deviations from the mean.

Mathematically,

Standard deviation = σ = √[Σ(x - xbar)²/N]

x = each variable

xbar = mean

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N = 12

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Σ(x - xbar)² = sum of the square of all deviations; let it be equal to D

4.25 = √[Σ(x - xbar)²/12]

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For 14 measurements,

N = 14

The mean is going to still be 38, because the two new measurements are each 38.

xbar = 38

And the new additions to the sum of deviations, will be (38 - 38)² twice, that is, 0.

Standard deviation for 14 measurements

Standard deviation = σ = √[Σ(x - xbar)²/N]

σ = √(216.75/14) = 3.93

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