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shusha [124]
2 years ago
13

You bought a new car in 2015 for $32,000 that is depreciating in value by 15% each year. Write a function to represent this situ

ation. What will the car be worth in 2020? Function: ___________________________________
Value of car in 2020: ______________________
Mathematics
1 answer:
Hitman42 [59]2 years ago
4 0

Function: x = years

x = $32,000-15%x

Value of car in 2020:

$8000

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Find the minimum value of the region formed by the system of equations and functions below.
Naily [24]

Answer:

  A.  -12

Step-by-step explanation:

A graph shows the vertices of the feasible region to be (0, 6), (3, 0) and (0, -3). Of these, the one that minimizes f(x, y) is (0, -3). The minimum value is ...

  f(0, -3) = 3·0 + 4(-3) = -12

_____

<em>Comment on the graph</em>

Here, three regions overlap to form the region where solutions are feasible. By reversing the inequality in each of the constraints, <em>the feasible region shows up on the graph as a white space</em>, making it easier to identify. The corner of the feasible region that minimizes the objective function is the one at the bottom, at (0, -3).

7 0
3 years ago
The table shows transportation from five different bank accounts. Fill in the missing numbers
Vanyuwa [196]

There is no answer, there is no table.

8 0
2 years ago
What is 5(x-2)-14x when x=4
nevsk [136]

Answer:

-46

Step-by-step explanation:

5 (x - 2) - 14x.   x=4

5 (4 - 2) - 14(4)  (distribute)

20 - 10 - 14(4)   (multiply)

20 - 10 - 56    (subtract and solve.)

10 - 56 = -46 - solution

hope this helps (:

6 0
2 years ago
Which of the following matrices are equal?
marysya [2.9K]
The answer is the first and third one
5 0
2 years ago
Read 2 more answers
Int(1 \(1 + {e}^{x} )​
Andreyy89

Answer:

\begin{aligned}\int{\frac{1}{1 + e^{x}}\cdot dx}= x - \ln(1 + e^{x}) + C\end{aligned}.

Step-by-step explanation:

The first derivative of the denominator 1 + e^{x} is e^{x}. Rewrite the fraction to obtain that expression on the numerator.

\begin{aligned}\frac{1}{1 + e^{x}} &= \frac{1 + e^{x}}{1 + e^{x}} - \frac{e^{x}}{1+e^{x}}\\&=1-\frac{e^{x}}{1+e^{x}}\end{aligned}.

In other words,

\begin{aligned}\int{\frac{1}{1 + e^{x}}\cdot dx} &= \int{dx} - \int{\frac{e^{x}}{1+e^{x}}\cdot dx}\end{aligned}.

Apply u-substitution on the integral \displaystyle \int{\frac{e^{x}}{1+e^{x}}\cdot dx}:

Let u = 1 + e^{x}. u > 1.

du = e^{x}\cdot dx.

\displaystyle \int{\frac{e^{x}}{1+e^{x}}\cdot dx} = \int{\frac{du}{u}} = \ln{|u|} = \ln{u} +C = \ln{(1+e^{x})}+C.

Therefore

\begin{aligned}\int{\frac{1}{1 + e^{x}}\cdot dx} &= \int{dx} - \int{\frac{e^{x}}{1+e^{x}}\cdot dx}\\ & = x - \ln{(1 + e^{x})}+C\end{aligned}.

7 0
2 years ago
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