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Evgen [1.6K]
3 years ago
14

Find the inverse of f (x) = x-12/4

Mathematics
1 answer:
Novay_Z [31]3 years ago
3 0
F(x)=-x+12/4 Not sure if this is right..
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In this problem,y = 1/(x2 + c)is a one-parameter family of solutions of the first-order DEy' + 2xy2 = 0.Find a solution of the f
trasher [3.6K]

Differentiate the given solution:

y=\dfrac1{x^2+C}\implies y'=-\dfrac{2x}{(x^2+C)^2}

Substitute y and y' into the ODE:

-\dfrac{2x}{(x^2+C)^2}+2x\left(\dfrac1{x^2+C}\right)^2=0

and it's easy to see the left side indeed reduces to 0.

6 0
3 years ago
You want $5000 4 years from nowfor a down payment for a car. How much money must be deposited monetly into an account earning 4.
timama [110]

Answer:

$95.5090 must be deposited monthly

Step-by-step explanation:

From the information given:

The annual interest rate (r) = 4.2% = 0.042

Let assume that an amount Y is deposited, then after one month, it will increase to:

Y ( 1+ \dfrac{0.042}{12})

The total amount after 4 years will be:

= Y ( 1+ \dfrac{0.042}{12})^{48}+Y ( 1+ \dfrac{0.042}{12})^{47} +Y ( 1+ \dfrac{0.042}{12})^{46} +...+ Y ( 1+ \dfrac{0.042}{12})

= Y ( 1.0035)^{48}+Y ( 1.0035)^{47} +Y( 1.0035)^{46} +...+ Y( 1.0035)

Using the sum of a geometric progression:

= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{(1.0035-1)}

= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035}

The above amount is then equal to $5000

i.e

= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035} = 5000

Y =  \dfrac{5000\times 0.0035}{(1.0035)(1.0035^{48}-1)} \\ \\  \mathbf{Y = \$95.5090}

8 0
3 years ago
Need help please, I dont
aivan3 [116]

Answer:

The last answer

Step-by-step explanation:

Intigers are whole numbers

3 0
3 years ago
Read 2 more answers
What is this?!? worth 10 points!
GREYUIT [131]

d. 24 I'm pretty sure

8 0
3 years ago
When a number is divided by -3, the result is 12 more than the number what is the number?
olga55 [171]
X/-3 = 12 + x
x = -36 - 3x
4x = 36
x= = 9

The number is 9.

8 0
3 years ago
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