idsadk
Step-by-step explanation:
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Set up a system of equations
Let x=first salesperson's paycheck
y=second salesperson's paycheck
x= y-.15y
x+y= 1425
Solve by substituting x
(y-.15y)+y= 1425
1.85y= 1425
y= 770.27
Substitute 770.27 for y in order to solve for x
x= (770.27)-.15(770.27)
x= 770.27-115.54
x=654.73
So the first salesperson(x) has a paycheck of $654.73 and the second salesperson(y) has a paycheck of $770.27.
Hope this helps!
Answer:
it should be 3x + something
Step-by-step explanation:
Answer:
The solution of the differential equation is .
Step-by-step explanation:
The first step is to take Laplace transform in both sides of the differential equation. As usual, we denote the Laplace transform of as . Then,
In the last step we use that and .
Notice that our differential equations becomes an algebraic equation for , which is more simple to solve.
In the expression we have obtained, we can write in terms of :
which is equivalent to
.
Now, we make a partial fraction decomposition for the term . Thus,
.
Substituting the above value into the expression for we get
) in both hands of the above expression. Recall that . So,
.
To obtain this we have used the following identities that can be found in any table of Laplace transforms
We have this square pyramid as shown in the picture. (Actually, a cross-section is a plane. So that, it is not fully drawn in the picture. You can see only part of it). It is given that EH⊥FG and we can easily observe that the cross-section is a triangle. It is a triangle Δ EFG.