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Assoli18 [71]
3 years ago
5

Read the problem to choose the correct method, then solve. A farmer buys a tractor for $50,000. If the tractor depreciates 10% p

er year, use an exponential function to find the value of the tractor in 7 years. AD CO Exponential Growth, $97,435.86 Exponential Decay, $23,914.85 Exponential Growth, $315,000 Exponential Decay, 21,523.36​
Mathematics
1 answer:
OlgaM077 [116]3 years ago
5 0

Answer:

The correct option is, Exponential Decay, $23,914.85.

Step-by-step explanation:

A farmer buys a tractor for $50,000.

It is provided that the the tractor depreciates 10% per year.

The exponential function for decay is:

y=a\cdot (1-r\%)^{t}

Here,

a = initial value

r = decay rate

t = time

Compute the value of the tractor in 7 years as follows:

y=a\cdot (1-r\%)^{t}

  =50000\times (1-0.10)^{7}\\\\=50000\times 0.4782969\\\\=23914.845\\\\\approx 23914.85

Thus, the correct option is, Exponential Decay, $23,914.85.

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Write the set of points from −8 to −2 but excluding −3 and −2 as a union of intervals
Sauron [17]
If you're only dealing with integers, then the answer is:

[-8 , -3)

If you're dealing with real numbers, then the answer is:

[-8, -3)∪(-3, -2)
3 0
3 years ago
Explain whether each equation is a linear equation.
Aleksandr-060686 [28]

Answer:

3. Not linear

4. Linear

Step-by-step explanation:

3. The equation has an exponent on the x. Since x is squared the graph is a parabola. The graph is a curve, not a line, so it is not linear.

4. Both the x and y have no exponent (which is an exponent of 1) The graph will be a line. This is a linear function.

8 0
2 years ago
Which polynomial represents twice the sum of -5x^2-x+6 and 7x^2+x-1?
elena-14-01-66 [18.8K]

The polynomial that represent twice the sum of -5x^{2} - x +6 and 7x^{2} + x -1 is : 4x^{2}+10

<h3>What is a polynomial?</h3>

A polynomial is any  algebraic expression that has the least value of the power of  its variable as 2.

When the highest value of the polynomial is 2, it is a called a quadratic expression.

Analysis:

2( -5x^{2} -x +6 + 7x^{2} +x -1)

2( 2x^{2} + 5) =

4x^{2} + 10

In conclusion, the polynomial that represents the above  expressions is 4x^{2} + 10

Learn more about polynomials: brainly.com/question/2833285

#SPJ1

7 0
2 years ago
I have no idea what the answers are
lara [203]

Hello from MrBillDoesMath!

Answer:

Top line: y = (2/3)x + 2

Bottom line:  y = (2/3)x  -1

Discussion:

The graph provided is hard to read but I did the best I could.

The top line appears to pass through the points (0,2) and (-3,0)

For this line

m =  change y /change x = (0-2)/(-3-0) = -2/-3 = +2/3. So

y = mx + b => y = (2/3) x+ b.  As the line passes through (0,2) set x = 0, y= 2 in y = (2/3)x + b =>  

2 = (2/3) 0 + b   => b = 2

Therefore    y = (2/3)x + 2

The bottom line appears to pass through the points (0,-1) and (3,1)

For this line

m =  change y /change x = (1-(-1)) /(3-0) = +2/-3. So

y = mx + b => y = (2/3) x+ b.  As the line passes through (0,-1) set x = 0, y= -1  in y = (2/3)x + b =>  

-1  = (2/3) 0 + b   => b = -1

Therefore    y = (2/3)x + -1

Thank you,

MrB

5 0
3 years ago
SOLUTION: Each pattern below uses the same rule. What is the rule? 2,11,38,119 3,14,47,146 4,17,56,173
Vadim26 [7]
2 _ _ _ 3 _ _ _ 4 _ _ _                      add one 
_ 11 _ _ _ 14 _ _ _ 17 _ _                add three
_ _ 38 _ _ _ 47 _ _ _ 56 _                add nine
_ _ _ 119 _ _ _ 146 _ _ _173           add seventeen 

Hope this helps!!!
5 0
3 years ago
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