a retailer allows is 15% discount on the mp of electric fan if a customer pays rs 2244 with 10% vat find the mp of the fan
1 answer:
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Answer:
If Length is decreased by 10% then it would become a square.
Step-by-step explanation:
Given:
Area of Rectangular field = 1440 sq. m
Perimeter = 152 m.
We need to find which one needs to be decreased by what percentage to make it a square.
Solution:
Let length be denoted by 'l'.
Also Let width be denoted by 'w'.
Now we know that Area of rectangular field is given by Length times width.
framing in equation form we get;
Also we know that Perimeter of rectangular field is given by 2 times sum of Length and width.
framing in equation form we get;
Now Substituting equation 2 in equation 1 we get;
Now we will find the root by factorizing the same we get;
Now solving for each to find the value of 'w' we get;
So We can say that;
Width = 36 m and Length = 40 m
Now we need to find out of length or breadth which one is to be decreased by what percentage to make it a square.
We know that square has all sides same.
So from the data we found we can say that if length is decreased by 4 then length and breadth(width) both will be equal.
So to find percentage decreased we will divide length to be decreased by total length and then multiply by 100.
framing in equation form we get;
percentage decreased =
Hence If Length is decreased by 10% then it would become a square.
<h3>Given</h3>
The values of two houses (in thousands of dollars)
A) the nature of the function, linear or exponential, that can be used to model the value after x years
B) the actual function f(x) that can be used in each case
C) f(25) for each house. Is there a significant difference?
<h3>Solution</h3>A) The oddball numbers give you a clue immediately that the value of house 1 will be best modeled by an exponential function.
The value of house 2 is increasing steadily at 9,000 per year, so is modeled by a linear function.
B) The ratio of values from a given year to the year before for house 1 is
... 294.58/286 = 1.03
A check for other years reveals the same ratio, so the exponential function can be written for house 1 as
... f(x) = 286·1.03^x . . . . . value of house 1
In part A we determined the year-to-year difference in value for house 2 is 9,000. That is the slope of the linear function. Then (in thousands), that function is
... f(x) = 286 +9x . . . . . value of house 2
C) After 25 years, the house values are (in thousands of dollars)
The value of house 1 has more than doubled in the same time that the value of house 2 has increased by about 79%. This is a significant difference.
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An exponential function will always outperform a linear function over a long enough time period.