Answer:

And using the cdf we got:

Step-by-step explanation:
Previous concepts
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

And 0 for other case. Let X the random variable that represent the random variable of interest and we know that the distribution is given by:

We know the variance on this case given by :

So then the deviation is given by:

And if we solve for
we got:

The cumulative distribution function for the exponential distribution is given by:

Solution to the problem
And for this case we want to find this probability:

And using the cdf we got:

Answer:

Step-by-step explanation:
we are given
y varies directly as x
so, we can write equation as

where
k is constant of proportionality
We have
at x=-1 , y=6
so, we can use it to find k

so, we get

now, we can plug it back

now, we can plug x=5
and we get


The interest rate due is $63.12. Hope that helps you.
6 million = 6,000,000
2,384,598 + 6,000,000 = 8,384,598
your answer is 8,384,598
hope this helps
Answer:39%
Step-by-step explanation:
78/100÷2
78/100×1/2
=39