Answer:
where t is in years
Step-by-step explanation:
I'm going to assume that the expectation that Cameron has is the amount of money after t years.
We can use the simple interest formula where A is the final amount, P is the principal, r is the rate, and t is time.
We can plug in 10,000 for P and 0.05 for r, giving us
Answer:
(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)
Here we have the equation:
We can rewrite this as:
Now we can add and subtract cos^2(x)*sin^2(x) to get:
We can complete squares to get:
and we know that:
cos^2(x) + sin^2(x) = 1
then:
This is the closest expression to what you wrote.
We also know that:
sin(x)*cos(x) = (1/2)*sin(2*x)
If we replace that, we get:
Then the simplification is: