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Jet001 [13]
2 years ago
5

In the year 2006, a person bought a new car for $18000. For each consecutive year after that, the value of the car depreciated b

y 15%. How much would the car be worth in the year 2009, to the nearest hundred dollars?
Please i need answer now
Mathematics
1 answer:
Liula [17]2 years ago
5 0

Answer:

Step-by-step explanation:

Use the exponential function

v(t)=a(b)^t where a is the initial value of the car, b is the rate of decay, and t is the time in years. For us, a = 18000, b = (1 - .15), so the model for this car is:

v(t)=18000(.85)^t  We can use this model now to find the value, v(t), of the car after 3 years has gone by (from 2006 to 2009 is 3 years):

v(t)=18000(.85)^3 and simplifying a bit:

v(t) = 18000(.614125) so

v(t) = 11054.25

Round however you need to.

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PLEASE HELP ME WITH THESE 2 QUESTIONS YOU GUYS, I AM TRYING TO PASS MATH CLASS. PLEASE. please. I AM GIVING 30 PTS FOR THIS. PLE
Bad White [126]

Explicit Formula

Just in case you don't know what this is, the explicit formula is the formula that solves for any term in the series without necessarily knowing what came before the term you are solving.

<em><u>Givens</u></em>

d = t_(n + 1) - t_n  You can take any term and the next term for this part of the formula

d = t_3 - t_2

t_3 = 1

t_2 = -7

d = 1 - - 7 = 8

a = -15

<em><u>Formula</u></em>

t_n = a + (n - 1)*d

t_n = -15 + (n - 1)*8

For example find the 5th term.

t_5 = - 15 + (5 - 1)*8

t_5 = - 15 + 4 *8

t_5 = -15 + 32

t_5 = 17  Which is what you have.

Recursive Formula

Computers really like this formula. They use it in what is called a subroutine and they pass values from one part of the program to a subroutine which evaluates the given and sends the result back. I'm telling you all this so you see why you are doing it. The disadvantage of it for humans is that you must know the preceding term to use the recursive formula.  

<em><u>Formula</u></em>

t_n = t_(n - 1) + d

<em><u>Example</u></em>

t_6 = t_(6 - 1) + d

t_6 = t_5 + 8

t_6 = 17 + 8

t_6 = 25

You can check this by using the explicit formula.

4 0
3 years ago
Read 2 more answers
Which of the following measurements is a little more than a yard? A. Centiliter B. 1/4 foot C. Centimeter D. Meter
BabaBlast [244]

D? Maybe I think I’m right hopefully!!

3 0
3 years ago
What is the value of -33 over 9+2
Nataly [62]

Answer:

11

Step-by-step explanation:

9

+ 2

<u> </u>

11

1 2 3 4 5 6 7 8 9 10 11

what the- to easy bro

7 0
2 years ago
Solving Quadratic Equations using the Square Root Property
Afina-wow [57]

Answer:

x = -2   or   x = -5

Step-by-step explanation:

You need to complete the square before you can take the square root of both sides.

x^2 + 7x + 10 = 0

Subtract 10 from both sides.

x^2 + 7x = -10

To complete the square, you need to add the square of half of the x-term coefficient to both sides.

The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.

x^2 + 7x + \dfrac{49}{4} = -10 + \dfrac{49}{4}

(x + \dfrac{7}{2})^2 = -\dfrac{40}{4} + \dfrac{49}{4}

(x + \dfrac{7}{2})^2 = \dfrac{9}{4}

Now we use the square root property, if

x^2 = k, then

x = \pm \sqrt{k}

x + \dfrac{7}{2} = \pm \sqrt{\dfrac{9}{4}}

x + \dfrac{7}{2} = \pm \dfrac{3}{2}

x + \dfrac{7}{2} = \dfrac{3}{2}   or   x + \dfrac{7}{2} = -\dfrac{3}{2}

x = -\dfrac{4}{2}   or   x = -\dfrac{10}{2}

x = -2   or   x = -5

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3 years ago
Come on help me pretty plz
m_a_m_a [10]

Answer:

im pretty sure its pink

Step-by-step explanation:

5 0
3 years ago
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