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Rom4ik [11]
2 years ago
15

Jace purchases a new motorcycle for $8000. The bike depreciates 12% every year.

Mathematics
1 answer:
Alex777 [14]2 years ago
3 0

Answer:

We know that the original price of the bike was $8,000.

After one year, the price of the bike decays a 12%, then the new price of the bike is:

P(1) = $8,000*( 1 - 12%/100%) = $8,000*(1 - 0.12)

After another year, the price again decays a 12%, the new price will be:

P(2) = $8,000*(1 - 0.12)*(1 - 12%/100%) = $8,000*(1 - 0.12)*(1 - 0.12) = $8,000*(1 - 0.12)^2

We already can see the pattern here, after t years, the price of the bike will be:

P(t) = $8,000*(1 - 0.12)^t

With this equation, we can find the price of the bike after 5 years, where we only need to replace t by 5

We will get:

P(5) = $8,000*(1 - 0.12)^5 = $4,221.9

The price of the bike after 5 years is  $4,221.9.

Now we want two equations to represent this, so we need another.

This is kinda trivial, because there is only one equation that represents this, so we only can rewrite our equation in another form.

We could say that the price of the bike after t years is:

P(t) = $8,000*(0.88)^t

or something like:

P(t) = $7040*(0.88)^(t - 1)

Where i multiplied the initial value by 0.88, and then reduced the exponent by one.

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A large cheese pizza costs $7.50. Each additional topping for the pizza costs $1.35. If the total bill for the pizza Sally order
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Answer: She ordered 4 toppings.

Step-by-step explanation:

Given: Total cost of pizza  = $ 12.90

Cost of pizza =$7.50

Price per topping = $1.35

Let x = Number of toppings,

Total cost of pizza = (Cost of pizza) + (price per topping) × (Number of topping)  

12.90= 7.50+1.35x\\\\\Rightarrow\ 1.35x=12.90-7.50\\\\\Rightarrow\ 1.35x=5.4\\\\\Rightarrow\ x=\dfrac{5.4}{1.35}\\\\\Rightarrow\ x=\dfrac{540}{135}=4

hence, she ordered 4 toppings.

5 0
2 years ago
What is 456,420 divided by 8.75 million
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<span>
0.05216228571 is the answer.</span>
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3 years ago
Write the sum in standard form <br><br> B) f(x)-h(x)
VLD [36.1K]

Answer:

Step-by-step explanation:

f(x) -h(x) = x³ + 2x² -7x - 8 - [4x² - x - 15 ]

             = x³ + 2x² - 7x - 8 - 4x² + x + 15

              = x³ + 2x² - 4x² - 7x + x - 8 + 15

              = x³ - 2x² - 6x + 7

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Use factoring to find the zeros.<br> x2 - 9x – 36 = 0
3241004551 [841]

Answer: x=12, x=-3

Step-by-step explanation: For this factored problem, you see that -36 is negative, as well at -9. This shows you that you need to find two numbers that multiply to get -36, and add up to get -9. Two numbers that both satisfy these requirements are -12 and 3. They multiply to get -36, and add to get -9.

Once you have found your values, you plug them into (x+/- __)(x+/- __), which is (x-12)(x+3).

But since the problem asks you to find the zeroes, you set each factor equal to zero, like this:

x-12=0 and x+3=0

Then solve and you have you answer!

4 0
3 years ago
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