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3 years ago

Please help explanation if possible

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

8 0

Maybe 2/2 I’m not sure. Sorry if it’s wrong.

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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

X-y=5;-x+y=5 <br><br> Can someone help me plz

s344n2d4d5 [400]

Answer:

Step-by-step explanation:

x-y=5

-x+y=5

or x-y=-5

so it is a system of two parallel lines.

so no solution.

or they do not intersect atmany point.

3 0

3 years ago

Help me with this geometry

KiRa [710]

Answer:

x= (5X+3) DEGREES = 90 degrees (right angle)

5x=90 degrees - 3 degrees =87 degrees

5x÷5 =87 degrees ÷ 5

x=17.4 degrees

we now know our angles x = 17.4 degrees so we can know substitute into the give formula

wxz=5 (17.4)+ 3

wxz =90 degrees

zxy=we know the size of x

zxy=

8 (17.4)-4

zxy=135.2 degrees

6 0

3 years ago

Write the slope-intercept form of the equation for the line

Andrej [43]

Answer:

y=3x-1

Step-by-step explanation:

start at (-1,-4) and go up 6 and over 2, thats your slope or m.

the y intercept is -1

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3 years ago

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Bob can eat 24 pizzas in 1 1/3 hours. How many pizzas per hour?

Amanda [17]

Answer:

Step-by-step explanation:

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