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Dahasolnce [82]
3 years ago
13

The value of an industrial machine has a decay factor of 0.75 per year. After six years, the machine is worth $7,500. What was t

he original value of the machine?
Mathematics
1 answer:
Digiron [165]3 years ago
6 0
If the value was initially v, then after a year it is 0.75v, after 2 years it’s 0.75²v, and so on. So after 6 years it’s 0.75⁶v.
So 0.75⁶v=7500, and v=7500/0.75⁶=$42,139.92 approximately. This is close to $42,140.
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For tax purposes, a car rental company assumes each car in their fleet depreciates by 6% per year. If the initial value of a car
n200080 [17]

The value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \rm y = a^x

where a is a constant and a>1

We can solve this problem by exponential function:

The word  depreciate means the price is decreasing.

We can find the value be when the car is 10 years old:

p = 38800(1 - 0.06)¹⁰

p = 38800(0.94)¹⁰

p = 20898.266 ≈ $20898.27

Thus, the value of a car after 10 years be $20898.27 if the car rental company assumes each car in their fleet depreciates by 6% per year option (a) $20898.27 is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

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6 0
1 year ago
‼️‼️‼️‼️ pls, i need help
zepelin [54]
Yo soy muy grande cojones y muy grande Pena!!!!!!
7 0
3 years ago
Help me with this problem!
kipiarov [429]

Answer:

y = -(2/3)x + 3  

C

Step-by-step explanation:

The slope of the equation that was given is - 2/3

The slope in a slope intercept equation is the number in front of the x when the value of the number in front of the y = 1 and x and y are on opposite sides of the equal sign. Let's translate that.

The original equation is y = -(2/3)x + 5/3

  • y and x have to be on opposite sides of the equal sign [They are]
  • The slope is the number in front of the x. That's (-2/3).  That makes A incorrect.

Now you need to use the given point

The point is (-3 , 5) Put this into the equation that you have so far

y = (-2/3)x + b

y = 5

x = -3

5 = (-2/3)(-3/1) + b Substitute in the givens

5 = (-2 * -3)/3 + b Multiply -2 * - 3 = 6

5 = 6/3  + b          Divide the 6 by 3

5 = 2 + b               Divide

5 - 2 = b                Subtract 2 from both sides

3 = b                      Switch sides

b = 3

Answer y = (-2/3)x + 3 or C


8 0
3 years ago
The slope of (4,-1) (-1,4)
olchik [2.2K]

Answer:

3

Step-by-step explanation: calculator

8 0
3 years ago
Class 1 and class 2 have a total of 630 house points. Class 1 have double the number of house points that class 2 have. How many
Wewaii [24]

Answer:

Class 2 has 210 house points.

Step-by-step explanation:

630/3 = 210

1 = 210 x 2 = 420

2 = 210

420 + 210 + 630

6 0
2 years ago
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