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2 years ago

A bottle of perfume holds 0.55 onice. A bottle of cologne holds p.2 ounce. How many more ounces dose the bottle of perfume hold?

Mathematics

1 answer:

zimovet [89]2 years ago

7 0

It has .33 more ounces if that says .2

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Charles is going to purchase a new car that has a list price of $21,450. He is planning on trading in his good-condition 2004 Do

devlian [24]

The answer is c. 16.70% This is based on the posts I've read online regarding this problem. No solution was given.

These are the amounts you have to consider:
List price of new car - 21,450
Sales tax rate: 6.88% - 21,450 x 6.88% = 1,475.76
vehicle registration fee - 1,089
documentation fee - 124
loan term - 3 years, paid monthly. so, 36 months
interest rate - 12.28% compounded monthly.
2004 Dodge Neon value - 6,591
trade in value - 6,591 x 80% = 5,272.80

No mention of down payment so the possible amount to be financed is: 24,138.76
The value of the traded car is only considered after the financing has been paid off.

7 0

2 years ago

Show that (2xy3 + cos x)dx + (3x2 y2 − sin y)dy = 0 is exact, and find the solution. Find c if y(0) = π

Licemer1 [7]

We're looking for a solution of the form $F(x,y)=C$ . By the chain rule, this solution should have total differential

$\mathrm dF=\dfrac{\partial F}{\partial x}\,\mathrm dx+\dfrac{\partial F}{\partial y}\,\mathrm dy=0$

and the equation is exact if the mixed second-order partial derivatives of $F$ are equal, i.e. $\frac{\partial^2F}{\partial x\partial y}=\dfrac{\partial^2F}{\partial y\partial x}$ .

The given ODE is exact, since

$\dfrac{\partial(2xy^3+\cos x)}{\partial y}=6xy^2$

$\dfrac{\partial(3x^2y^2-\sin y)}{\partial x}=6xy^2$

Then

$\dfrac{\partial F}{\partial x}=2xy^3+\cos x\implies F(x,y)=x^2y^3+\sin x+f(y)$

$\dfrac{\partial F}{\partial y}=3x^2y^2-\sin y=3x^2y^2+\dfrac{\mathrm df}{\mathrm dy}$

$\dfrac{\mathrm df}{\mathrm dy}=-\sin y\implies f(y)=\cos y+C$

$\implies x^2y^3+\sin x+\cos y=C$

With $y(0)=\pi$ , we get

$\cos\pi=C\implies C=-1$

$\implies\boxed{x^2y^3+\sin x+\cos y=-1}$

6 0

2 years ago

Please help me on this.

Nonamiya [84]

Answer:

The third option. (the one where it intersects on the y line)

Step-by-step explanation:

If you solve for the system of equations, you will find that it is (0,3), so it intersects on the y line. Additionally, it is on the top because it is positive.

8 0

2 years ago

How do u calculate Pythagorean theorem and what is the formula

PIT_PIT [208]

Answer:

The formula is

Step-by-step explanation:

a^2 + b^2 = c^2

hope this helps

6 0

2 years ago

Pls help this is due in soon!!

Rasek [7]

Answer:

Step-by-step explanation:

6 0

2 years ago