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3 years ago

11

Dora bought a bottle of nail polish that was marked down by 20 percent from its original price of $4.50. Including a 9 percent s

ales tax, what is the final cost of the bottle of nail polish?
$0.90
$0.98
$3.60
$3.92

2 answers:

o-na [289]3 years ago

7 0

Answer:

3.92

Step-by-step explanation:

Aleksandr-060686 [28]3 years ago

5 0

Answer:

3.92

Step-by-step explanation:

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What is (8x320) 1/3 a a a a a a a a a a a aa a a aa a a a aa a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a

grigory [225]

Answer:

Simplify the expression.

Exact Form:

2560/3

Decimal Form:

853.¯3

Mixed Number Form:

853 1/3

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

Use the method of undetermined coefficients to find the general solution to the de y′′−3y′ 2y=ex e2x e−x

djverab [1.8K]

I'll assume the ODE is

$y'' - 3y' + 2y = e^x + e^{2x} + e^{-x}$

Solve the homogeneous ODE,

$y'' - 3y' + 2y = 0$

The characteristic equation

$r^2 - 3r + 2 = (r - 1) (r - 2) = 0$

has roots at $r=1$ and $r=2$ . Then the characteristic solution is

$y = C_1 e^x + C_2 e^{2x}$

For nonhomogeneous ODE (1),

$y'' - 3y' + 2y = e^x$

consider the ansatz particular solution

$y = axe^x \implies y' = a(x+1) e^x \implies y'' = a(x+2) e^x$

Substituting this into (1) gives

$a(x+2) e^x - 3 a (x+1) e^x + 2ax e^x = e^x \implies a = -1$

For the nonhomogeneous ODE (2),

$y'' - 3y' + 2y = e^{2x}$

take the ansatz

$y = bxe^{2x} \implies y' = b(2x+1) e^{2x} \implies y'' = b(4x+4) e^{2x}$

Substitute (2) into the ODE to get

$b(4x+4) e^{2x} - 3b(2x+1)e^{2x} + 2bxe^{2x} = e^{2x} \implies b=1$

Lastly, for the nonhomogeneous ODE (3)

$y'' - 3y' + 2y = e^{-x}$

take the ansatz

$y = ce^{-x} \implies y' = -ce^{-x} \implies y'' = ce^{-x}$

and solve for $c$ .

$ce^{-x} + 3ce^{-x} + 2ce^{-x} = e^{-x} \implies c = \dfrac16$

Then the general solution to the ODE is

$\boxed{y = C_1 e^x + C_2 e^{2x} - xe^x + xe^{2x} + \dfrac16 e^{-x}}$

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1 year ago

Consider the function represented by the

Jobisdone [24]

Answer:

y -5×8=

3-40

37

setahu saya

Step-by-step explanation:

I hope you

i'm sorry ya kalo jawaban nya salah

8 0

3 years ago

Luke wants to reduce the area of his rectangular garden by one-fourth. The expression 1/4 lw can be used to represent this chang

Leya [2.2K]

Answer:

lw/4

Step-by-step explanation:

Area of a rectangle = length × width

= l × w

Area of a rectangle = let

reduce the area of his rectangular garden by one-fourth

= 1/4 * lw

= 1/4lw

What is another way to write this expression?

Another way to write the expression is

= 1/4 * lw

= lw / 4

3 0

3 years ago

The head librarian at a public library releases a report. The report states that visitors to the library want the library to ope

pogonyaev

Answer:

Step-by-step explanation:

The question is not biased. It doesn't push the participants to answer one way or another.

However, the sample is biased. It does not represent the population.

The first and fourth options are correct.

5 0

3 years ago