50x-15? i don’t understand
Hi
6% increase is multiply by 1,06
done 40 times
so : 250* 1,06^40 = 2571 ,
They are both similar but not entirely the same.
The first expression y/x means we divide y over x. We divide two values here and we are not subtracting first before division. This expression is useful for when you want to find the variation constant in the equation y = kx (for direct proportion equations).
The other expression (y2-y1)(x2-x1) is where we first subtract the y values, and do the same for the x values, before we divide. This computes the slope of the line through the two points (x1,y1) and (x2,y2). It's also useful to figure out the average rate of change (one application of slope). For problems involving time versus distance, the average rate of change is the average speed in which the object is moving.
I guess you're asking about the probability density for the random variable where are independent and identically distributed uniformly on the interval (0, 15). The PDF of e.g. is
It's easy to see that the support of is the same interval, (0, 15), since , and
• at most, if and , or vice versa, then
• at least, if , then
Compute the CDF of :
This probability corresponds to the integral of the joint density of over a subset of a square with side length 15 (see attached). Since are independent, their joint density is
The easiest way to compute this probability is by using the complementary region. The triangular corners are much easier to parameterize.
In the second integral, substitute and , so that
which is the same as the first integral. This tells us the joint density is symmetric over the two triangular regions.
Then the CDF is
We recover the PDF by differentiating with respect to .
A=p (1+rt)
A future value ?
p Principle 900
R interest rate 0.06
T time 9/12
A=900×(1+0.06×(9÷12))
A=940.5