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3 years ago

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HELP with math please

1 answer:

siniylev [52]3 years ago

5 0

How did u upload a pic

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A certain country has $10 billion in paper currency in circulation, and each day $50 million comes into the country's banks. The

mash [69]

Answer:

$\bf x(t)=10(1-e^{-0.005*t})$

Step-by-step explanation:

The differential equation

$\bf \displaystyle\frac{dx}{dt}=0.005(10-x)$

can be solved by separation of variables. Write the equation as

$\bf \displaystyle\frac{dx}{10-x}=0.005dt$

Integrate on both sides

$\bf \int\displaystyle\frac{dx}{10-x}=\int0.005dt\Rightarrow -ln(10-x)=0.005t+C\Rightarrow\\\\\Rightarrow ln(10-x)^{-1}=0.005t+C\Rightarrow (10-x)^{-1}=e^{0.005t}e^C$

where C is a constant.

$\bf e^C$ is also a constant and we will keep calling it C, (there is no reason to change the letter). We have then

$\bf (10-x)^{-1}=Ce^{0.005t}\Rightarrow \displaystyle\frac{1}{10-x}=Ce^{0.005t}\Rightarrow 10-x=\displaystyle\frac{1}{Ce^{0.005t}}\Rightarrow\\\\\Rightarrow x(t)=10-(1/C)e{-0.005t}$

(1/C) is a constant, and for the same reason we will keep calling it C. So the general solution is

$\bf x(t)=10-Ce^{-0.005t}$

Now, we use the initial condition x(0)=0

$\bf x(0)=10-Ce^{-0.005*0}=0\Rightarrow C=10$

and the particular solution is

$\bf x(t)=10-10e^{-0.005*t}=10(1-e^{-0.005*t})\\\\\boxed{x(t)=10(1-e^{-0.005*t})}$

7 0

3 years ago

A bag holds 8 white marbles and 3 green marbles. The probability of drawing a white marble is 8⁄11. What is the likelihood of dr

xenn [34]

3/11, all you have to do is add both numbers and put one of them over the sum, that will get you the probability of drawing that color.

4 0

3 years ago

Identify the triangle that contains an acute angle for which the sine and cosine ratios are equal. Triangle A B C has angle meas

marshall27 [118]

Answer:

The sine and cosine are equal for 45 degrees.

Choose the triangle that has a 45-deg angle.

7 0

4 years ago

Read 2 more answers

3x=3 need helppppppppppp

vazorg [7]

Answer:

x=1

Step-by-step explanation:

Divide both sides by 3 to neutralize the x being multiplied by 3

8 0

3 years ago

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Find the distance between the points given.<br> (-3,-4) and (0,0)

bija089 [108]

Answer:

(3,4)

Step-by-step explanation:

-3+3=0

-4+4=0

3 0

3 years ago

Read 2 more answers