Hailey purchased a new car in 2000 for $29,600. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $12,000 in the year 2007, then what would be the predicted value of the car in the year 2012, to the nearest dollar?

=========================================================

Explanation:

x = number of years since the year 2000

eg: x = 1 represents the year 2001

y = value of the car in dollars

The point (x,y) = (0,29600) is on the curve and it's the y intercept. This is when Hailey bought the car with a value of $29600.

Another point on this curve is (7,12000) to indicate seven years have passed and the car is now worth $12000.

------------------------------

Since the y intercept is 29600, this is the value of 'a' in the equation

y = a*b^x

Meaning we can update it to

y = 29600*b^x

Plug in the coordinates of the other point so we can solve for b

y = 29600*b^x

12000 = 29600*b^7

12000/29600 = b^7

b^7 = 12000/29600

b^7 = 0.405405

b = (0.405405)^(1/7)

b = 0.878991 approximately

------------------------------

We found that

So we go from

y = a*b^x

to

y = 29600*0.878991^x

To verify this, plugging x = 0 should lead to y = 29600

Also, plugging in x = 7 should lead to y = 12000 or very close to it.

------------------------------

The last step is to plug in x = 12 to find the car's value in 2012, i.e. x = 12 years after the year 2000.

So,

y = 29600*0.878991^x

y = 29600*0.878991^12

y = 6296.58182216087

y = 6297

The predicted car's value in 2007 is about $6297

What is the median?
1, 3, 4, 7, 11, 12, 15

6. You and your family went to a restaurant and the bill came to $120. You decide to
leave an 18% tip. How much of a tip should you leave?
a. $200.00
b. $206.00
c. $21.60
d. $21.00

The area of a rectangle is 75 square feet, and the length is 25 feet. What is the perimeter?

HELPPPPPP PLEASE !!!The expected value of a random variable x is 62. The variable is
transformed by multiplying X by 3 and then adding 6 to it. Find the
expected value (mean) of the transformed variable.

the difference of a number and ten is at least 91

The perimeter of a triangle is 50 feet. One side of the triangle is 4 times the second side. The third side is 14 feet longer than the second side. Find the length of each side.

I need the equation for 36÷3

Factor the following polynomial completely.
0.3x^2 - 3.6x + 8.1

A) 0.3(x - 3)(x - 9)
B) 0.3(x - 3)(x + 9)
C) -0.3(x^2 + 12x + 27)
D) 0.3(x^2 - 12x + 27)

Stanley recieved 110 pieces of candy for Halloween. He gave 20% of his candy to his little brother. So far, he has eaten 25% of the remaining candy. How many pieces of candy are left?

For triangle ABC, find the measure of ∠C if ∠A = 50° and ∠B = 60°.

Which expression shows 5 + 5 + 5 + 5 as multiplication?
5 × 2
5 × 4
5 × 5
5 × 10

What is the product of 5 1/2 and 3 3/4?
A 22 3/8
B 21 1/4
C 20 5/8
D 15 3/8

WILL GIVE A LOT OF POINTS

Determine the intercepts of the line.
73 – 5 = 4y – 6

Hi, I really need help on this question for pre cal.

i will give brainliest

Using the graph of f(x) and g(x), where g(x) = f(k.x), determine the value of k.
-6
g(x)
f(x)
-5
3
5
-2
1
11
NI
2

I need help ASAP with these questions

Theme Park. A theme park charges $149 for guests ages 10 and over and $143 for guests ages 3 to 9. Write an algebraic expression that represents the total charge for x guests ages 10 and over and y guests ages 3 to 9.

Use the model to help you find the product.

1
2
3
×
1
3


A model represents 1 and two-thirds.
Each big square is cut into 3 parts to represent multiplying by one-third.
The number of small shaded squares in the circled parts of each big square is the numerator of the product.
The total number of small squares in a single big square represents the denominator of the product.
The product is .

100 POINTS
how much money would we have if we did only interest on this account in 11 years When kolton starts college?

Evaluate the equation.

12.8 + c = 30.12
A. c =17.28
B. c =17.32
C. c =42.92
D. c =43.02

What is this ¾x=30 i need to find x

Alyssa has five baseball cards. Sam bought two of alyssa`s baseball cards.how many baseball cards does Alyssa have now​

solve this inequality m−11≥−2

what is the approximate height of the rice container if the radius is 2.5 in. and the volume is 235.5 in cubed​

An isosceles triangle has vertices at (-5, 4), (2, 4) and (-1.5, -3.5). Each of its two congruent sides are 8.3 units long. Calculate both the area and perimeter of the triangle. Explain or show you got your answers.

Bailey is multiplying 32 by 7. She says the answer will be greater than 32.
Do you agree with her?

Which ordered pairs are solutions to the equation 3x - 2y = 12 ? (hint: plug in the x and y values into the equation to see if it makes a true statement.) Group of answer choices (1,-4.5) (5,-1.5) (2,-3) (0,6) (-2,3) (-2,-9)

The equation 4(x – 3)2 – 5 = 139 has two solutions: one positive and one negative. What is the
negative solution?
7.

1. Which is greater than 4?

(a) 5,

(b) -5,

(c) -1/2,

(d) -25.