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3 years ago

Select the correct answer.

Mathematics

1 answer:

kherson [118]3 years ago

3 0

Answer:

d.2/6 has a repeating decimal form

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Suppose you invest $1,600 at an annual interest rate of 4.6% compounded continuously how much will you have in the account after

DanielleElmas [232]

Total = Principal * e^(rate*years)
where "e" is the mathematical constant 2.71828182828459
Total = 1,600 * e(.046*4)
Total = 1,600 * 2.71828182828459^(.184)
Total = 1,600 * 1.2020158231 
Total = 1,923.23 

Source:
http://www.1728.org/rate2.htm

8 0

3 years ago

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

3 years ago

HELP ASAP AND ILL GIVE U BRAINLIEST !!!!!!!!!!!!

olchik [2.2K]

Answer:

i beleive it is the 3rd choice

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Plz help I need help

fenix001 [56]

Answer:

3 / 4 * 50 = 150 / 4

= 37.5 or 37½ yards

Step-by-step explanation:

5 0

3 years ago

How do I know when two fractions are equivalent

vlada-n [284]

Answer:

when they

Step-by-step explanation:

equal the same value when you break them up

3 0

3 years ago