A club with thirteen members is to choose three officers: president, vice-president, and secretary-treasurer. If each office
1 answer:
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Answer:
<u>4212 : 1573</u> is the ratio.
Step-by-step explanation:
Given:
Length of rectangular school banner is 36 inches and width is 52 inches.
And, the sign made is similar to banner.
The sign's length is 22 inches.
Now, we have to find the ratio of the area of the banner to the area of the sign.
So, we have dimensions of rectangular school banner:
Length = 36 inches.
Width = 52 inches.
But, we have only length of sign:
Length = 22 inches.
Now, we have to find the width of sign by using cross multiplication method:
Let the width of sign be
<em>As, sign is similar to banner.</em>
So, if 36 inches is equivalent to 52 inches.
Then, 22 inches is equivalent to
<em>By cross multiplying we get:</em>
<em /><em />
<em>Dividing both sides by 36 we get:</em>
<em>Hence, the width of sign is </em><em> inches.</em>
Now, we find the area of banner and the area of sign by putting formula:
Area of banner = length × width.
Now, area of sign:
Now, to get the ratio of the area of the school banner to the area of the sign:
<em>On simplifying we get:</em>
Therefore, the ratio of the area of the school banner to the area of the sign is 4212:1573.
9514 1404 393
Answer:
a) see the attached spreadsheet (table)
b) Calculate, for a 10-year horizon; Computate for a longer horizon.
c) Year 13; no
Step-by-step explanation:
a) The attached table shows net income projections for the two companies. Calculate's increases by 0.5 million each year; Computate's increases by 15% each year. The result is rounded to the nearest dollar.
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b) After year 4, Computate's net income is increasing by more than 0.5 million per year, so its growth is faster and getting faster yet. However, in the first 10 years, Calculate's net income remains higher than that of Computate. If we presume that some percentage of net income is returned to investors, then Calculate may provide a better return on investment.
The scenario given here is only interested in the first 10 years. However, beyond that time frame (see part C), we find that Computate's income growth far exceeds that of Calculate.
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c) Extending the table through year 13, we see that Computate's net income exceeds Calculate's in that year. It continues to remain higher as long as the model remains valid.
