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Ede4ka [16]
3 years ago
11

An electronics store sold 4% of computers that were on sale if only 12 computers were sold how many computers were not sold

Mathematics
1 answer:
Anarel [89]3 years ago
8 0
I think it would be 300 computers
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D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x
MA_775_DIABLO [31]
The solution depends on the value of k. To make things simple, assume k>0. The homogeneous part of the equation is

\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0

and has characteristic equation

r^2-16k=0\implies r=\pm4\sqrt k

which admits the characteristic solution y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}.

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be y_p=ae^{4x}+be^x. Then

\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x

So you have

16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x
(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x

This means

16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}
b(1-16k)=30\implies b=\dfrac{30}{1-16k}

and so the general solution would be

y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x
8 0
3 years ago
HELP FAST. A circle with radius of 3 cm sits inside a 8 cm x 7 cm rectangle.
defon

Answer:

27.73 cm

1. Find the area of the rectangle: 8x7=56 cm

2. Find the area of the circle: pi x 3 squared= 28.2743338....cm

3. Subtract area of the circle from the area of the rectangle: 56 - 28.27433=27.72567cm

4. Round to the nearest hundredth: 27.73 cm

4 0
3 years ago
Help please!! How do I solve this
egoroff_w [7]
This is an exponential equation. We will solve in the following way. I do not have special symbols, functions and factors, so I work in this way
 2 on (2x) - 5 2 on x + 4=0 =>. (2 on x)2 - 5 2 on x + 4=0  We will replace expression ( 2 on x) with variable t => 2 on x=t  =. t2-5t+4=0 => This is quadratic equation and I solve this in the folowing way => t2-4t-t+4=0 =>     t(t-4) - (t-4)=0 => (t-4) (t-1)=0 => we conclude t-4=0 or t-1=0 => t'=4 and t"=1 now we will return t' => 2 on x' = 4 => 2 on x' = 2 on 2 => x'=2 we do the same with t" => 2 on x" = 1 => 2 on x' = 2 on 0 => x" = 0 ( we know that every number on 0 gives 1). Check 1: 2 on (2*2)-5*2 on 2 +4=0 =>                   2 on 4 - 5 * 4+4=0 => 16-20+4=0 =. 0=0 Identity proving solution. 
Check 2:   2 on (2*0) - 5* 2 on 0 + 4=0 => 2 on 0 - 5 * 1 + 4=0 => 
1-5+4=0 => 0=0  Identity provin solution.
5 0
3 years ago
Can someone help me please​
ruslelena [56]

Answer:

3x - 14

Step-by-step explanation:

Perimeter = 2(length+width)

= 2[(½X-7) + (x)]

= 2[½x + x - 7]

= 2[1.5x - 7]

= 3x - 14

4 0
3 years ago
Solve the inequality for x in the expression 8x>56
alisha [4.7K]

Answer:

its 8 because 8×7=56. it's the next multiple

7 0
3 years ago
Read 2 more answers
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