The equation of the line would be
y = mx+b
where m is the slope, b is the y intercept.
<span>The line will form a triangular region in the first quadrant. Its area would be 1/2 base times height. The height is the y intercept
and the base is y intercept divided by slope. Therefore,</span>
A = b^2/2m
At point (2,5)
5 = 2m+b
Substitute that in the area
A = b^2/5-b
to find the least area, differentiate the area with respect to the height and equate it to 0
dA/db = 0
<span>find b and
use that to find m. Then, you can have the equation of the line.</span>
Given:
Principal = Rs. 6000
Rate of simple interest = 6% per annum.
Time = 4 years
To find:
The simple interest and amount.
Solution:
Formula for simple interest:

Where, P is principal, r is the rate of interest and t is the number of years.
Putting P=6000, r=6 and t=4, we get



Now,



Therefore, the simple interest is Rs. 7440 and the amount is Rs 7440.
The answer is B. Fluid ounces in a pinto fluid ounces in a gallon
25 = 5*5
405 = 81*5
therefore, 25/405 = (5*5)/(81*5)=5/81