5 more than six times a number is the
same as that number decreased by ten.
complete question:
$0.60 bottle of iced tea marked up to $1.35. Find the percentage markup.
Answer:
percentage markup = 125%
Step-by-step explanation:
$0.60 bottle of iced tea marked up to $1.35. The marked up percentage can be calculated as follows:
1.35/0.60 = p/100
2.25 = p/100
2.25 = p/100
multiply both sides by 100
2.25 × 100 = p
225%
Therefore the mark up is 225 - 100 = 125%
percentage markup = 125%
The Laplace transform method is applied to solve the differential equation y' + 6y = e^4t with the initial condition y(0)=2. After transforming, simplifying, and solving for Y(s), we use inverse Laplace transform to find the solution y(t) in the time domain.
Laplace transform is a powerful tool in the field of mathematics used for solving differential equations. To solve the given initial value problem y' + 6y = e^4t ; y(0)=2, we can start by taking the Laplace transform of both sides of the equation.
The Laplace transform of y' is sY(s) - y(0) and the Laplace transform of y is Y(s). Therefore, the Laplace transform of y' + 6y gives sY(s) - y(0) + 6Y(s). Given that y(0)=2, this simplifies to sY(s) + 6Y(s) - 2.
On the right-hand side, the Laplace transform of e^4t is 1/(s-4). Thus, we have the equation sY(s) + 6Y(s) - 2 = 1/(s-4).
By solving for Y(s), we can find the inverse Laplace transform to get the solution y(t) in the time domain.
#SPJ6
Answer:
(f+g)(x) = x^2 + 7x -9
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= (x^2 + 6x – 2) + (x – 7)
= x^2 + 7x -9