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tresset_1 [31]
2 years ago
5

Invested in a stock worth $660 that is expected to in value by 10% per year. Write the equation used to determine the values of

stock after t year
Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
7 0
x=660(1.1)^{t}

x represents the new value.

This multiplies 660, the starting value, by 110% for each year (t).
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Ten samples of coal from a northern appalachian source had an average mercury content of 0.242 ppm with a standard deviation of
Dovator [93]
The confidence interval is from 0.2191 to 0.2649, given by

0.242\pm0.0229.

The z-score we need is found by first subtracting the confidence level from 1:
1 - 0.95 = 0.05

Divide that by 2:
0.05/2 = 0.025

Subtract that from 1:
1 - 0.025 = 0.975

Look this up in the middle of a z-table (http://www.z-table.com) and we see that the z-score is 1.96.

Now our confidence interval is given by
\overline{x} \pm z\times \frac{\sigma}{\sqrt{n}}
\\
\\0.242\pm 1.96 \times (\frac{0.037}{\sqrt{10}})
\\
\\0.242 \pm .0229
\\
\\0.242-0.0229=0.2191
\\
\\0.242+0.0229 = 0.2649
5 0
3 years ago
Q: A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte.
DiKsa [7]

The linear equation which can be used to determine a user's monthly

bill is c = 60 + 0.05 d ⇒ D

Step-by-step explanation:

The given is:

  • A cell phone company charges $60.00 a month for up to 1 gigabyte of data
  • The cost of additional data is $0.05 per megabyte
  • d represents the number of additional megabytes used
  • c represents the total charges at the end of the month

We need to find which equation can be used to determine a user's monthly bill

The form of the linear equation is y = mx + b, where b is the constant amount and m is the rate of change

∵ The company charges $60.00 a month for up to 1 gigabyte of data

- That means it is a constant amount each month

∴ b = 60

∵ The cost of additional data is $0.05 per megabyte

- That means it depends on the number of additional megabyte,

   so it is not constant, it is the rate of change

∴ m = 0.05

∵ d represents the number of additional megabytes

∴ x = d

∵ c represents the total charges at the end of the month

∴ y = c

Substitute y by c, m by 0.05, x by d and b by 60 in the form of the linear equation above

∴ c = 0.05 d + 60

- We can rearrange the terms of the right hand side

∴ c = 60 + 0.05 d

The linear equation which can be used to determine a user's monthly

bill is c = 60 + 0.05 d

Learn more:

You can learn more about linear function in brainly.com/question/9801816

#LearnwithBrainly

7 0
3 years ago
Describe one error that was made in the preparation of the
pashok25 [27]

Answer:

  the axis labels are inconsistent with the graph title

Step-by-step explanation:

The independent variable is described as "% protein digested", and the dependent variable is described as "time." The graphed values suggest that these are reasonable descriptors for the data being plotted.

The title, however, says the data points are "percentage digestion per hour". This is in disagreement with the axis labels, and is inconsistent with the shape of the curve. (If the title is to be believed, the digestion rate is such that more than 100% of <whatever> has been digested after 10 hours.)

__

<em>Additional comment</em>

Another error is the vertical axis is graduated as though it were linear, but it is decidedly non-linear. Equivalent distances on the graph are shown for differences of 10%, 5%, 10% and 25%. That is the scale varies by a factor of 5 from one part of the graph to another.

8 0
2 years ago
On a Saturday, Saul can cut 4 lawns in 6 hours. If Mitch can mow lawns at the same rate, how long will it take him to
kotykmax [81]

Answer:

13 1/2 hours

Step-by-step explanation:

4/6=9/x then find the rate and solve

5 0
2 years ago
1/3 + a = 5/4 <br> What does the a equal?
alekssr [168]

Answer:

1/3 + a = 5/4 = 4/15

4 0
3 years ago
Read 2 more answers
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