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VashaNatasha [74]
1 year ago
11

You decide you will buy a stock only if it shows an overall increase over the next 30 days. In the first 10 days, the stock you

chose has an increase of $0.30 per day. The next 10 days, it has a decrease of $0.45 per day. The last 10 days, it has an increase of $0.25 per day.
What was the total amount the stock increased over the first 10 days? You must show your work to receive all possible points.
What was the total amount the stock decreased over the next 10 days? You must show your work to receive all possible points.
What was the total amount the stock increased over the last 10 days? You must show your work to receive all possible points.
What was the total amount the stock changed over 30 days? You must show your work to receive all possible points?
Would you buy the stock based on the criteria of only buying if it shows an overall increase over the 30 day period? Explain why or why not in complete sentences.
Mathematics
1 answer:
Leona [35]1 year ago
3 0

Using proportions, it is found that:

  • The stock increased $1 over the first 10 days.
  • The stock decreased $4.50 over the next 10 days.
  • The stock increased $2.5 over the final 10 days.
  • The stock decayed $1 over the 30 days, hence you would not buy the stock.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Over the first 10 days, the increase was of $0.1 per day, hence the total amount was of:

T = 10 x 0.1 = $1.

Over the next 10 days, there was a decrease of $0.45 per day, hence the total amount was of:

T = -10 x 0.45 = -$4.5.

Over the final 10 days, the increase was of $0.25 per day, hence the total amount was of:

T = 10 x 0.25 = $2.5.

The total change over the 30 days was of:

1 - 4.5 + 2.5 = -1.

The stock decayed $1 over the 30 days, hence you would not buy the stock.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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100 points , please help. I am not sure if I did this correct if anyone can double-check me thanks!
Nookie1986 [14]

Step-by-step explanation:

\lim_{n \to \infty} \sum\limits_{k=1}^{n}f(x_{k}) \Delta x = \int\limits^a_b {f(x)} \, dx \\where\ \Delta x = \frac{b-a}{n} \ and\ x_{k}=a+\Delta x \times k

In this case we have:

Δx = 3/n

b − a = 3

a = 1

b = 4

So the integral is:

∫₁⁴ √x dx

To evaluate the integral, we write the radical as an exponent.

∫₁⁴ x^½ dx

= ⅔ x^³/₂ + C |₁⁴

= (⅔ 4^³/₂ + C) − (⅔ 1^³/₂ + C)

= ⅔ (8) + C − ⅔ − C

= 14/3

If ∫₁⁴ f(x) dx = e⁴ − e, then:

∫₁⁴ (2f(x) − 1) dx

= 2 ∫₁⁴ f(x) dx − ∫₁⁴ dx

= 2 (e⁴ − e) − (x + C) |₁⁴

= 2e⁴ − 2e − 3

∫ sec²(x/k) dx

k ∫ 1/k sec²(x/k) dx

k tan(x/k) + C

Evaluating between x=0 and x=π/2:

k tan(π/(2k)) + C − (k tan(0) + C)

k tan(π/(2k))

Setting this equal to k:

k tan(π/(2k)) = k

tan(π/(2k)) = 1

π/(2k) = π/4

1/(2k) = 1/4

2k = 4

k = 2

8 0
4 years ago
What is another way to write 4 hundreds
Temka [501]
40 tens is another way of writing 4 hundreds because 40 tens would give you 400 and 4 hundreds also give you 400.
7 0
3 years ago
Read 2 more answers
A ball of radius 14 has a round hole of radius 4 drilled through its center.
gladu [14]

The volume of the spherical solid resulting of the drill is of 11,226 units³.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given as follows:

V = \frac{4\pi r^3}{3}

In this problem, we have two spherical balls, one of radius 14 and other of radius 4, hence their volumes are given as follows:

V_1 = \frac{4\pi 14^3}{3} = 11494

V_2 = \frac{4\pi 4^3}{3} = 268

The volume of the resulting solid is the difference of the volumes, hence:

V = 11494 - 268 = 11,226 units³.

More can be learned about the volume of a sphere at brainly.com/question/25608353

#SPJ1

8 0
2 years ago
the distribution of heights of adult American men is approximately normal with mean 68 in and a standard deviation of 2.5 in wha
melamori03 [73]

Let x be a random variable representing the heights of adult American men. Since it is normally distributed and the population mean and standard deviation are known, we would apply the formula,

z = (x - mean)/Standard deviation

From the information given,

mean = 68

standard deviation = 2.5

The probability that the height of a selected adult is between 63 and 73 is expressed as

P(68\leq x\leq73)

For x = 63,

z = (63 - 68)/2.5 = -2

Looking at the normal distribution table, the probability corresponding to the z score is 0.02275

For x = 73,

z = (73 - 68)/2.5 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.97725

Therefore,

P(68\text{ }\leq x\leq73)\text{ = 0.97725 - 0.0}2275\text{ = 0}.9545

Thus, the percentage of men are between 63 and 73 is

0.9545 * 100 = 95.45%

Rounding up to the nearest percentage, the answer is 95%

8 0
1 year ago
Find the actual sum of 1 3/4 + 1 5/8 to determine how much David grew in two years. Explain how you know your answer is reasonab
svetoff [14.1K]

Answer:

3\frac{3}{8}

Step-by-step explanation:

Find the sum

1\frac{3}{4} +1\frac{5}{8}

we know that

\frac{3}{4}=\frac{6}{8}

substitute

1\frac{6}{8} +1\frac{5}{8}

step 1

Separate the mixed number into a whole number and a fraction number

1+\frac{6}{8} +1+\frac{5}{8}

step 2

Group the whole numbers an the fraction numbers

(1+1)+(\frac{6}{8} +\frac{5}{8})

step 3

Combine like terms

(2)+(\frac{11}{8})

Remember that

\frac{11}{8}=\frac{8}{8}+\frac{3}{8}=1+\frac{3}{8}

substitute

2+1+\frac{3}{8}

3+\frac{3}{8}=3\frac{3}{8}

The answer is reasonable

Because

I know that 1 3/4 < 2 and 1 5/8 < 2

so

The sum of both numbers must be less than 4

6 0
3 years ago
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