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valentinak56 [21]
3 years ago
7

Farmer and Taylor formed a partnership with capital contributions of 240000 and 290000 respectively their partnership agreement

calls for farmer to receive a 78000 per year salary the remaining income or loss is to divided equally if the net income for the current year is 183000 then farmer and Taylor respective shares are
Mathematics
1 answer:
Vesna [10]3 years ago
7 0

Answer:

B

Step-by-step explanation:

edge

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Dr yang buys a violin for £13200 plus vat at 20% dr yang pays a deposit for the violin he then pays the rest of the cost in 12 e
Andre45 [30]

Answer:

8/3

Step-by-step explanation:

Given that:

Cost of violin = 13200 plus VAT at 20%

Cost of violin = (100 + 20)% * 13200

Cost of violin = 1.20 * 13200 = £15,840

Instalment pay = (360 * 12) = 4320

Therefore, deposit made equals ;

Total cost - Instalment pay

£(15,840 - 4320) = £11,520

Hence, ratio of deposit made to the total Instalment payment made ;

£11520 / £4320 = 8 / 3

5 0
3 years ago
f the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many
Oksanka [162]

Answer:

n=1849

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

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 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

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 0.03 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)  

Assuming that the proportion is estimated \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849  

And rounded up we have that n=1849

7 0
3 years ago
A coffe table is on sale for 20% off the orgingial price of $115. If there is 7.5% sales tax, what is the original price of the
Anuta_ua [19.1K]

Answer: 98.90

Step-by-step explanation:

115*.2=23

115-23=92

0.075*92=6.9

6.90+92=$98.90

3 0
3 years ago
The sales tax on a $350.00 computer is $22.75. Find the sales tax rate.
svetoff [14.1K]

The sales tax rate is 6.5%


6 0
3 years ago
A book exhibition was held for four days in a schoolthe number of tickets sold at the counter on the first secend third and four
bija089 [108]

Answer:

7707 tickets

Step-by-step explanation:

From the question we know that:

the number of tickets sold at the counter on

First day = 1094 tickets

Second day = 1812 tickets

Third day = 2050 tickets

Fourth day = 2751 tickets

The total number of tickets sold on all the four days is calculated as:

(1094 + 1812 + 2050 + 2751)tickets

= 7707 tickets

7 0
3 years ago
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