Answer:
76.90%
Step-by-step explanation:
100/1299*999= 76.9053117783 - 100 = -23.0946882217
Answer:
Step-by-step explanation:
First, the profit formula:
PROFIT= TOTAL REVENUE - TOTAL COST
Next, note the points:
- Without Advertisement, Q = 6,000 where Q is quantity supplied
- A formula that gives the total profit P in dollars must take into account that 100cents = 1dollar
- Here, only a dollar is spent on advertisement, hence, Q = 6005
- Advertising expenses have been accounted for and [P = 9cents × Q] where Q is quantity sold.
- 9 cents = 0.09 dollars
TOTAL PROFIT FORMULA = 0.09Q - 500
The correct question is:
Suppose x = c1e^(-t) + c2e^(3t) a solution to x''- 2x - 3x = 0 by substituting it into the differential equation. (Enter the terms in the order given. Enter c1 as c1 and c2 as c2.)
Answer:
x = c1e^(-t) + c2e^(3t)
is a solution to the differential equation
x''- 2x' - 3x = 0
Step-by-step explanation:
We need to verify that
x = c1e^(-t) + c2e^(3t)
is a solution to the differential equation
x''- 2x' - 3x = 0
We differentiate
x = c1e^(-t) + c2e^(3t)
twice in succession, and substitute the values of x, x', and x'' into the differential equation
x''- 2x' - 3x = 0
and see if it is satisfied.
Let us do that.
x = c1e^(-t) + c2e^(3t)
x' = -c1e^(-t) + 3c2e^(3t)
x'' = c1e^(-t) + 9c2e^(3t)
Now,
x''- 2x' - 3x = [c1e^(-t) + 9c2e^(3t)] - 2[-c1e^(-t) + 3c2e^(3t)] - 3[c1e^(-t) + c2e^(3t)]
= (1 + 2 - 3)c1e^(-t) + (9 - 6 - 3)c2e^(3t)
= 0
Therefore, the differential equation is satisfied, and hence, x is a solution.
