We have to calculate the amount of money Peter will have in his account after 5 years. Formula for the amount after t years with interest compounded continuously : A = P * e ^(rt)
We know that r = 0.06, t=5, e = 2.71 and p= $8,000
A = 8,000 * 2,718 ^(0.06 * 5) = 8,000 * 2,718 ^ (0.3) = 8,000 * 1.3488158 = 10,798.53 so the answer is 10,798.53
Answer: r = 11
Step-by-step explanation:
We know that the point (-2, r) lies on the graph of:
2*x + y = 7.
Then, if we that point is on the graph of the equation, we can replace the values and we will have:
2*(-2) + r = 7
and now we solve this for r-
-4 + r = 7
r = 7 + 4 = 11
r = 11
Solution -
The probability of getting 6 from a single roll of a fair dice = 
The probability of getting any other number rather than 6 would be 
So when the outcome is 6, then he wins $5 ,otherwise he has to pay $2
So
E(X) = Expectation value = 
( ∵ $5 gain so +ve and $2 loss so -ve)
=
∴ So Merrill will lose 
dollar
