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Katyanochek1 [597]
2 years ago
12

Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices

. One of the two equations can be translated to: 300x + y = 10000 If y = 87.5, what is the value for x? 300x + y = 10,000 300x + (87.5) = 10,000 300x + 6,250 = 10,000 x =
Mathematics
2 answers:
djyliett [7]2 years ago
3 1

Answer: 33.041666

Step-by-step explanation:

Given: The translated equation : 300x+y = 10000

To find the value of x if y = 87.5, we need to substitute the value of y in the given translated equation, we will get

300x+87.5 = 10000

Subtract 87.5 from both the sides , we get

300x=9912.5

Now, divide 300 on both the sides, we get

x=\frac{9912.5}{300}\\\\\Rightarrow x=33.041666666

Rama09 [41]2 years ago
4 0

Answer: 12.5

Step-by-step explanation: I got u guys :)

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"The last time I bought this product, it cost $20.00 but it looks like it costs $29.60 today. Why such a large increase?"
Oksanka [162]

Answer:

The company decided to increase the price by $9.60, or by 48%.

Step-by-step explanation:

To measure the price difference in dollars is simple, just subtract the old price from the new one:

29.60 - 20 = 9.60

Divide the price change by the old price to find the price increase in percentage:

9.60 \div 20 = 0.48 \\ 0.48 \times 100\% = 48\%

5 0
2 years ago
In regional spelling bee, the 8 finalists consist of 3 boys and 5 girls. Find the number of sample point the sample space S for
Minchanka [31]

Answer:

i) There are 40320 possible orders

ii) There are 336 possible orders for the first 3 positions.

Step-by-step explanation:

Given: The number of finalists = 8

The number of boys = 3

The number of girls = 5

To find the number of sample point the sample space S for the number of possible orders, we need to find factorial of 8!

The number of possible orders = 8!

= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8

= 40320

ii) From all 8 finalist, we need to choose first 3 position. Here the order is important. So we use permutation.

nPr =\frac{n!}{(n - r)!}

Here n = 8 and r = 3

Plug in n =8 and r = 3 in the above formula, we get

8P3 = \frac{8!}{(8 - 3)!}

= \frac{8!}{5!} \\= \frac{1.2.3.4.5.6.7.8}{1.2.3.4.5}

= 6.7.8

= 336

So there are 336 possible orders for the first 3 positions.

3 0
2 years ago
Two investors have net worths of $12 million (investor A) and $1 million (investor B). they set their investment limits at 2% an
Varvara68 [4.7K]

Answer:

Investor B

Step-by-step explanation:

Investor A: 2% of 12 million is 240,000

Investor B: 30% of 1 million is 300,000

Thus, Investor B has a greater investment limit

5 0
2 years ago
A portfolio has average return of 13.2 percent and standard deviation of returns of 18.9 percent. Assuming that the portfolioi's
wlad13 [49]

Answer:

B. 0.835

Step-by-step explanation:

We can use the z-scores and the standard normal distribution to calculate this probability.

We have a normal distribution for the portfolio return, with mean 13.2 and standard deviation 18.9.

We have to calculate the probability that the portfolio's return in any given year is between -43.5 and 32.1.

Then, the z-scores for X=-43.5 and 32.1 are:

z_1=\dfrac{X_1-\mu}{\sigma}=\dfrac{(-43.5)-13.2}{18.9}=\dfrac{-56.7}{18.9}=-3\\\\\\z_2=\dfrac{X_2-\mu}{\sigma}=\dfrac{32.1-13.2}{18.9}=\dfrac{18.9}{18.9}=1\\\\\\

Then, the probability that the portfolio's return in any given year is between -43.5 and 32.1 is:

P(-43.5

6 0
2 years ago
Read the passage. Next, match the transition with the paragraph in which it would best be used.
Alex787 [66]

Answer: A for paragraph one, b for 2, c for the second three

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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