Answer: D
Step-by-step explanation:
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.
Answer:
Step-by-step explanation:
The general solution will be the sum of the complementary solution and the particular solution:
In order to find the complementary solution you need to solve:
Using the characteristic equation, we may have three cases:
Real roots:
Repeated roots:
Complex roots:
Hence:
Solving for 
:
Since we got complex roots, the complementary solution will be given by:
Now using undetermined coefficients, the particular solution is of the form:
Note: 
was multiplied by x to account for 
and 
in the complementary solution.
Find the second derivative of in order to find the constants 
and 
:
Substitute the particular solution into the differential equation:
Simplifying:
Equate the coefficients of and on both sides of the equation:
So:
Substitute the value of the constants into the particular equation:
Therefore, the general solution is:
<span>1.255 times the party bill.
x = party bill
s = sales tax
t = tip
C = total cost = the bill, plus the sales tax, and the tip
C = x + s + t
We know that both the sales tax and the tip are percentages based on the party bill. The sales tax is equal to 7.5% of the party bill. The tip is equal to 18% of the party bill.
so,
s = (0.075)*x
and,
t = (0.18)*x
Then we replace the s and the t in our equation,
C = x + 0.075x + 0.18x
Then, we add the elements together.
C = (1+0.075+0.18)x
C = 1.255x</span>
Its a little blurry and i need glasses so can u take another pic
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