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rewona [7]
3 years ago
11

A company paid $150,000, plus a 7% commission and $5,000 in closing costs for a property. The property included land appraised a

t $87,500, land improvements appraised at $35,000, and a building appraised at $52,500. What should be the allocation of this property's costs in the company's accounting records?
Mathematics
1 answer:
OLga [1]3 years ago
3 0
 $115,850 (70%*$165,500) is the cost for the land and $49,650 (30%*$165,500) represents the cost for the building. The total cost for the land and the building is represented by the equation $165,500 (150,000 + [7%*$150,000] + $5000). The company must gain (70% and 30%) by dividing each of the values by the total value (($87,500+$35,000)/($87,500+$35,000+$52,500)for land; $52,500/($87,500+$35,000+$52,500) for building.
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99.00000000000 x 9/11
julia-pushkina [17]

Step-by-step explanation:

=99*9/11

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=891/11

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o-na [289]

Answer:

a) n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.96})^2}=2401  

And rounded up we have that n=2401

b) n=\frac{0.07(1-0.07)}{(\frac{0.02}{1.96})^2}=625.22  

And rounded up we have that n=626

And we see that if we have previous info about p the sample size varies a lot.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

Part a

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.02 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Since we don't have prior information about the population proportion we can use ase estimator \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.96})^2}=2401  

And rounded up we have that n=2401

Part b

For thi case the estimator for p is \hat p =0.07

n=\frac{0.07(1-0.07)}{(\frac{0.02}{1.96})^2}=625.22  

And rounded up we have that n=626

And we see that if we have previous info about p the sample size varies a lot.

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