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2 years ago

Margo borrows $100, agreeing to pay it back with 6% annual interest after 6 months. How much interest will she pay.

1 answer:

defon2 years ago

8 0

Okay so she paid 100 dollars. There is 6 percent every month.

100*0.06=6

So, after 1 year it will be at 106 dollars...

But, we are looking for 6 months which is half of the year.

6/2=3...

So she will pay 3 dollars in interest.

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Show that ( 2xy4 + 1/ (x + y2) ) dx + ( 4x2 y3 + 2y/ (x + y2) ) dy = 0 is exact, and find the solution. Find c if y(1) = 2.

fredd [130]

$\dfrac{\partial\left(2xy^4+\frac1{x+y^2}\right)}{\partial y}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

$\dfrac{\partial\left(4x^2y^3+\frac{2y}{x+y^2}\right)}{\partial x}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

so the ODE is indeed exact and there is a solution of the form $F(x,y)=C$ . We have

$\dfrac{\partial F}{\partial x}=2xy^4+\dfrac1{x+y^2}\implies F(x,y)=x^2y^4+\ln(x+y^2)+f(y)$

$\dfrac{\partial F}{\partial y}=4x^2y^3+\dfrac{2y}{x+y^2}=4x^2y^3+\dfrac{2y}{x+y^2}+f'(y)$

$f'(y)=0\implies f(y)=C$

$\implies F(x,y)=x^2y^3+\ln(x+y^2)=C$

With $y(1)=2$ , we have

$8+\ln9=C$

$\boxed{x^2y^3+\ln(x+y^2)=8+\ln9}$

8 0

2 years ago

Omg i am bored so answer and get points will mark as brelenzz

Zarrin [17]

Answer:

298

Step-by-step explanation:

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2 years ago

Zhi needs new flooring for her two laundry rooms.each room is 4.5 feet long and 4.5 feet wide . How much are will the flooring n

klio [65]

Answer: 40.5 square feet

Step-by-step explanation:

Given : Zhi needs new flooring for her two laundry rooms.each room is 4.5 feet long and 4.5 feet wide .

We assume that the room is rectangular in shape .

Area of rectangle = Length x width

Then area of one laundry room = 4.5 feet x 4.5 feet = 20.25 square feet

Area of two laundry room = 2 x 20.25 = 40.5 square feet.

Hence, The flooring need to cover a total of <u>40.5 square feet</u> of area.

7 0

3 years ago

Read 2 more answers

Carson went shopping for a new video game because of a sale. The price on the tag was $40, but Carson paid $28 before tax. Find

MatroZZZ [7]

Answer:

Step-by-step explanation:

28/40 ×100 =70 PERCENT

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2 years ago

Today, a round-trip plane ticket from Los Angeles to New York costs $350. If the average annual inflation rate is 2.5%, how much

Brrunno [24]

Answer = 875

350 x 2.5 = 875

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2 years ago