Let's use the variable "r" to represent the investment rate of the stocks:
2r(500) + r(800) = 45
1000r + 800r = 45
1800r = 45
r = 0.025
2r = 0.05
The $500 is invested at 5%
Answer:
a) 
b) 
Step-by-step explanation:
a) Lets denote
the cumulative distribution function of X. Note that for any value a between 0 and I/2, we have that
is the probability for the stick to be broken before the length a is reached following the stick from one starting point plus the probability for the stick to be broken after the length I-a from the same starting point. This means that 
b) Note that, as a consecuence of what we calculate in the previous item, X has a uniform distribution with parameter I/2, therefore, the probability density function f is
f(x) = 1/(I/2) = 2/I
A value raised by an exponent is the same as that value being multiplied by itself the number of times the exponent is.
(9m)^4 means 9m is multiplied by itself 4 times:
It can be written as: (9m)(9m)(9m)(9m)
3(15.49 + 20.82 + 22.91)
3(59.22) =
177.66 <=== what group collected
The answer to the question is 300 square feet