MATHEMATICS HIGH SCHOOL

Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years?

Answers

Answer 1

Answer:

Answer:

$y=12,000*(0.88)^x$

Step-by-step explanation:

Please find the attachment.

We have been given that Jason estimates that his car loses 12% of its value every year. The initial value is $12,000.

Since the value of car is decreasing exponentially, so we will use exponential decay function to find the graph that represents the value of the car after x years.

An exponential decay function is in form: $y=a*(1-r)^x$ , where,

a = Initial value,

r = Decay rate in decimal form.

Let us convert our given rate in decimal form.

$12\%=(12)/(100)=0.12$

Upon substituting our given values in decay function we will get,

$y=12,000*(1-0.12)^x$

$y=12,000*(0.88)^x$

We can see from our graph that as x approaches infinity, y approaches to zero, therefore, our graph will have a horizontal asymptote at y=0.

Therefore, the function $y=12,000*(0.88)^x$ represents the value of the car after x years.

Answer 2

Answer:

ANSWER:

y= 12000*(0.88)x

Step-by-step explanation:

We have been given that Jason estimates that his car loses 12% o

Since the value of car is decreasing exponentially, so we will use exponential decay function to find the graph that represents the value of the car after x years.

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Evaluate the expression when c=6 and y=7. 2y-c

How do I solve 3.2x+0.2x^2-5=0

Answers

$3.2x+0.2x^2-5=0\ \ \ \ |both\ sides\ multiply\ by\ 5\n\n16x+x^2-25=0\n\nx^2+16x-25=0\n\na=1;\ b=16;\ c=-25\n\n\Delta=b^2-4ac\to\Delta=16^2-4\cdot1\cdot(-25)=256+100=356\n\nx_1=(-b-\sqrt\Delta)/(2a)\ and\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(356)=√(4\cdot89)=2√(89)\n\nx_1=(-16-2√(89))/(2\cdot1)=-8-√(89);\ x_2=(-16+2√(89))/(2\cdot1)=-8+√(89)$

Pls Sub I will help alot!If you can't find it search blasie gyFd and Scroll down you'll find it :)

Answers

Answer:

kjhg

Step-by-step explanation:

Answer: lol a yt channel on brainly? Ntbr lol

Step-by-step explanation:

Simplify -62 ÷ 12 - 2(-7).

-17
35
11
-35

Answers

I don't know if you know something called PEMDAS

Parentheses
Exponent
Multiply
Divide
Add
Subtract

So you would do the -2(-7) first giving you 14

So now we have -62/12 +14

now you would do -62/12 giving you -5.16666667

and now the equation is -5.16666667 + 14 = 8.83333333

I know for a fact, being in Calculus Honors, that what I did to simplify is correct. Using the Order of Operations, or PEMDAS (Commonly remebered as "Please Excuse My Dear Aunt Sally". It stands for "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction".) to simplify this answer is necessary.

If your teacher wrote this problem please inform him or her of Order of Operations before your classmates use it even though its wrong.

1 Simplify Expression 1.
(D+5)+(d+5)+(d+5)

Answers

Answer:

Final Answer: 3d+15

Step-by-step explanation:

d+5+d+5+d+5

5+5+5= 15

d+ d+ d= 3d

PLEASE HELP I NEED HELP ASAP TRANSVERSAL ANGLES A LOT OF POINTS ON THE LINE.

Answers

Answer:

Step-by-step explanation:

so basically you have to look for the opposite side of what they give you. then just plot it in

Which function has the greatest y-intercept?

Answers

Answer:

The function f(x) has the greatest y-intercept. Option 1 is correct.

Step-by-step explanation:

The first function is

$f(x)=4x+5$

Substitute x=0 in the given function, to find the y-intercept.

$f(0)=4(0)+5=5$

The y-intercept of f(x) is 5.

From the given graph it is clear that the y-intercept of g(x) is 2.

The third function is

$h(x)=3\sin (2x+\pi)-2$

Substitute x=0 in the given function, to find the y-intercept.

$h(x)=3\sin (2(0)+\pi)-2$

$h(x)=3\sin (\pi)-2$

$h(x)=3(0)-2$

$h(x)=-2$

The y-intercept of h(x) is -2.

$5>2>-2$

Therefore the function f(x) has the greatest y-intercept. Option 1 is correct.

Final answer:

The greatest y-intercept in a function refers to the function that intersects the y-axis at the highest point. We can determine this by checking the 'b' term in the equation y = mx + b.

Explanation:

To determine which function has the greatest y-intercept, you would need to examine the 'b' term in the equation y = mx + b, which represents the y-intercept. This is the point where the function intersects the y-axis. In other words, it's the y-value where the function begins. For example, within the information provided, 'ŷ-266.8863 + 0.1656x' seems to have the largest y-intercept at 266.8863.

Now consider having graphs of multiple functions; the one that intersects the y-axis at the highest point (the largest y-value) has the greatest y-intercept.

For straight lines, their slope remains the same along the line (as demonstrated in the mention of 'Figure A1 Slope and the Algebra of Straight Lines'). It's the y-intercept that determines where on the y-axis the line begins, helping us distinguish one line from another if their slopes are identical.

Learn more about y-intercept here:

brainly.com/question/34923499

#SPJ6

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