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rodikova [14]
2 years ago
13

A machine costs 7500. Its value decreases by 5% every year due to usage. what will be its price after 1 year?​

Mathematics
1 answer:
Arada [10]2 years ago
5 0

Answer:

12000 will be the price of machine after 1year.

Step-by-step explanation:

As i got.

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Ken has an investment account which compounds interest continuously at a rate of 3.4%. After 4 years, he has $4400 in the accoun
Maksim231197 [3]

Answer:

$6617

Step-by-step explanation:

Use the formula for calculating compound interest A=P0ert where A is the unknown, P0=4400, r=0.034, and t=12. Substitute the values into the formula and simplify.

A=4400e0.034⋅12

A=4400e0.408

A=4400(1.503...)

A=6616.75

After 12 years, there will be A≈6617 in the account, rounded to the nearest dollar.

5 0
2 years ago
Read 2 more answers
Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie
melamori03 [73]

Answer:

The complete solution is

\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43

Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

y = e^{mx}

Differentiating with respect to x

y'= me^{mx}

Again differentiating with respect to x

y''= m ^2 e^{mx}

Putting the value of y, y' and y'' in left side of the differential equation

3m^2e^{mx}-8m e^{mx}- 3e^{mx}=0

\Rightarrow 3m^2-8m-3=0

The auxiliary equation is

3m^2-8m-3=0

\Rightarrow 3m^2 -9m+m-3m=0

\Rightarrow 3m(m-3)+1(m-3)=0

\Rightarrow (3m+1)(m-3)=0

\Rightarrow m = 3, -\frac13

The complementary function is

y= Ae^{3x}+Be^{-\frac13 x}

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)    

For particular integral

y_p=\frac 1{(3D+1)(D-3)} .4

    =4.\frac 1{(3D+1)(D-3)} .e^{0.x}    [since e^{0.x}=1]

   =4\frac{1}{(3.0+1)(0-3)}      [ replace D by 0 , since L(0)≠0]

   =-\frac43

The complete solution is

y= C.F+P.I

\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43

4 0
2 years ago
you were given 15$ from your auntie to go to the mall. you spend 6$ on snacks, and 5$ on shirt on your way to the car,you found
Finger [1]
The answer would be 14





Explanation:
If you look on a number line and start from 15 then from there you minus 6 which equals 9 then you minus 5 which equals 4 and add 10 which equals 14 and that 14 is on the positive side of the number line. So 14 is your answer.
5 0
3 years ago
Which equation has a solution of -10? -28+32+x=-40 -28x+32x=-40 -28−32+x=6 -28x+23x=2
Leno4ka [110]
I think it is the 3rd one but I might be wrong...
8 0
3 years ago
Read 2 more answers
Is y=y+8 even, odd, or neither
SIZIF [17.4K]

The expression y = y + 8 does neither represent an odd number nor an even number.

<h3>Does represent a given equation an even or odd number or neither?</h3>

In this problem we must check if a given algebraic equation represents an even number or an odd number or neither by using algebraic means. Even numbers are integers, whose last digit is 0, 2, 4, 6 or 8, whereas odd numbers are integers, whose last digit is 1, 3, 5, 7 or 9. Now we proceed to  check the expression:

y = y + 8                     Given

y + (- y) = 8                 Compatibility with addition / Existence of additive inverse / Modulative property

0 = 8                           Existence of additive inverse / Modulative property / Result

The expression y = y + 8 does neither represent an odd number nor an even number.

To learn more on even numbers: brainly.com/question/2289438

#SPJ1

3 0
1 year ago
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