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BartSMP [9]
3 years ago
15

An artist purchased 24 high quality canvases to be used for painting this fall. Each week she will allow herself to use three of

the canvases for painting until all 24 canvases have been used.
Write a linear equation modelling the number of canvases remaining (y) as a function of weeks painting (x).
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0

Answer:

<u><em>canvases over weeks </em></u>

<u><em> </em></u>

<u><em>Step-by-step explanation: </em></u>

<u><em> </em></u>

<u><em>Given: </em></u>

<u><em> </em></u>

<u><em>w(h) represents how many hours per week </em></u>

<u><em> </em></u>

<u><em>c(t) approximates how many canvases she paints per hour </em></u>

<u><em> </em></u>

<u><em>In function composition, if we have two function f(x) and g(x) then </em></u>

<u><em> </em></u>

<u><em>(f.g)(x) or f(g(x)) means first apply g(), then apply f() i.e. applying function f to the results of function g. </em></u>

<u><em> </em></u>

<u><em>Now we have c(w(h)), this means first we apply w(h) which will give us hours per week and then we'll apply function 'c' on the results of 'w' (that is number of hours for weeks painted). As result we'll get number of canvas </em></u>per week!

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5√5

Step-by-step explanation:

Hypotenuse (h) = 15

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If Betty makes monthly deposits at the end of each month in an account that earns 8% interest compounded monthly,
Svetlanka [38]

9514 1404 393

Answer:

  (a) $254.08

  (b) $767.34

  (c) $12,449.36

Step-by-step explanation:

These questions are best answered by a financial calculator or app. Such are available for your phone or tablet. A spreadsheet also has built-in functions for making these calculations.

(a) FV = $40,000, i = 8% per year, n = 9 years (108 months), compounding 12 times per year. The monthly deposit needs to be $254.08.

__

(b) Payment = $254.08, n = 3 months, i = 8%/year, compounding 12 times per year. FV = $767.34.

__

(c) The sum of 108 payments of $254.08 is ...

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The interest earned is enough to bring the account value to $40,000, so is ...

  $40,000 -27,440.64 = $12,559.36

_____

<em>Additional comment</em>

The amount $254.08 is rounded down to the nearest cent, so the balance after 9 years will be $39,999.70, which is $0.30 short of $40,000. We used $40,000 as the final account balance, so overestimated the interest by $0.30.

There may be additional small changes in the values if you round interest to the nearest cent each month the way a financial institution would. It is hard to tell in these problems how accurate you're intended to be in your calculations.

4 0
2 years ago
The scatter plot shows the study times and test scores for a number of students. How long did the person who scored 81 study?
Free_Kalibri [48]

Answer: Option A

50 minutes

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Observe in the diagram that the vertical axis represents the score obtained and the horizontal axis represents the study time.

To find out how many hours the person with a score of 81 studied, locate the point that is at a vertical distance of 81.

Now draw a vertical line from this point to the horizontal axis. Note that the vertical line traced intercepts the vertical axis at x= 50

Then the person who got a score of 81 studied 50 minutes

The answer is the option A

6 0
3 years ago
You want to make a rectangular banner that is 18ft. Long with a trim around the entire border of the banner . You have no more t
lys-0071 [83]

Answer:

6 ft

Step-by-step explanation:

Given that:

Length of rectangular banner = 18 ft

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To find:

Possible widths of the banner = ?

Solution:

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i.e. we are given the total perimeter of the rectangular banner.

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So, width possible is <em>6ft.</em>

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