Terry just bought a used car with only 28,500 miles on it and it cost $8,200. Every year Terry expects to put another 14,000 miles on the car. Unfortunately, the car’s value will depreciate by 15% per year. How much will the car be worth when it has 100,000 miles on it? Explain your work.

Answers

Answer 1

It will take (100 -28.5)/14 ≈ 5.107 years to get to 100,000 miles. In that time the car will depreciate by a factor of 0.85^5.107, about 0.43605. The value at that time will be
.. $8200*0.43605 ≈ $3706

_____
The difference between 100k miles and 28.5k miles is 71.5k miles. It is "used up" at the rate of 14k miles per year, so the time it takes to do that is 71.5/14 ≈ 5.1 years.

Each year the car depreciates 15%. That is, its value is multiplied by 1 -15% = 0.85. In 5.1 years, the original value will be multiplied by 0.85^5.1. (Remember, exponentiation is repeated multiplication.)

Related Questions

What is the answer to this question please explain...

Answers

Do what it says.

F = (9*30)/5 +32 . . . . . replace the variable C with the value 30
F = 270/5 +32 . . . . . . . order of operations says do multiplication and division in the order in which they appear. We have multiplied 9*30
F = 54 +32 . . . . . . . . . . division appears next. We have divided 270 by 5
F = 86 . . . . . . . . . . . . . . after multiplications and divisions are done, we add in the order of appearance. There is only one addition to perform.

F = 86 . . . . . . . . we suppose only the numerical value 86 should be entered

1. Your total restaurant bill is _____. (1 point)
Captionless Image
*

the items purchased minus sales tax, and plus tip.
the items purchased plus sales tax and tip.
the items purchased minus sales tax, and plus tip.

2. A check is _____. (1 point)
Captionless Image
*

required to be paid by your bank when presented
a promissory note (I.O.U.)
not able to be forged

3. There are several different ways to pay for items. In most modern economies, which is not a way to pay? (1 point)
Captionless Image
*

credit cards
bartering
cash

Answers

First question:

Your total restaurant bill is the items you have purchased plus the sales tax and plus the tip (if there’s any). Sales tax is added to your purchase because this is tax imposed to the consumer and not to the buyer. The buyer is only required to collect this tax from the buyer.

Second question:

A check is a financial instrument wherein the bank is required to pay when presented or encashed to them. You just have to make sure that you have account balance to that certain bank.

Third question:

The way of payment not any more common in the most modern economies is the bartering. Both credit cards and cash are the most common way of paying for your purchases.

Answer:

1. the items purchased plus sales tax and tip.

2. a promissory note (I.O.U.)

3. bartering

MATH HELP PLEASE UGRGENT WILL GIVE BRAINIEST!!
In the figure, YX−→− and YZ−→− are tangents to circle A at points X and Z, respectively.

mXZ=140∘
mXSZ=220∘

What is the measure of ∠XYZ ?

Answers

The measure of an angle formed by two tangent lines intersecting at a point outside the circle is equal to one-half their intercepted arcs.
XYZ = 1/2(XSZ - XZ)
XYZ = 1/2 (220 - 140)
XYZ = 1/2 (80)
XYZ = 40

The measure of angle XYZ is 40 degrees.

Hope this helps =)

Answer:

Step-by-step explanation:

PLEASE HELP ME ON THIS!!!!

Answers

The last two choices are appropriate.

Both give you f(1) = 7, f(2) = 9.50, f(3) = 12.00, ... as they should.

Is 40% bigger than 2/5

Answers

To find the percentage of 2/5 you'll divide them and then multiply the answer by 100.

2/5 = 0.4 = 40%

So 40% and 2/5 are equal.

Hope this helps :)

40% can be rewritten as 0.4
2/5 can be rewritten as 0.4.

As you can see, they are equal, so NO, 40% is not bigger than 2/5.

14. Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,3) E (8,3) and F(1,-5). Show your work.

Answers

The circumcenter has equal distance to each of the three vertices. Suppose the coordinates of the circumcenter O are (a,b). Then OD=\sqrt((a-1)^2+(b-3)^2), OE=\sqrt(a-8)^2+(b-3)^2), OF=\sqrt((a-1)^2+(b+5)^2). Let OD=OE=OF, solve the equation. x=9/2, y=-1. O(9/2, -1).

Из листа картона длиной 35 см и шириной 20 см Маша вырезала четыре квадрата площадью 1 дм2 каждый.Найди площадь остатка картона.Ответ вырази в дм 2

Answers

the question in Englih is
From a cardboard sheet 35 cm long and 20 cm wide, Masha cut out four squares of 1 dm2 each. Find the area of the cardboard residue. Answer the question in dm2

Step 1
convert cm to dm
we know that
1 cm is---------------> 0.10 dm
then
35 cm--------------> 3.5 dm
20 cm--------------> 2 dm

Step 2
find the area of the cardboard
Area=3.5*2=7 dm²

Step 3
find the area of the cardboard residue
Area=7-4*1=3 dm²

the answer is 3 dm²

the answer in Russian

Шаг 1
преобразовать cm в дм
мы знаем это
1 cm ---------------> 0.10 дм
тогда
35 cm--------------> 3.5 дм
20 cm--------------> 2 дм

Шаг 2
найти область картона
Площадь=3.5*2=7 дм²

Шаг 3
найти область остатка картона
Площадь=7-4*1=3 дм²
ответ 3 дм²

ответ 3 дм²

35*20=700 см2 (площадь картонки)
1 дм2=100 см2
Если она вырезала 4 квадрата по 100 см2, то осталось 700-(100*4)=700-400=300 см2
300 см2=3 дм2
Думаю,что так.

4.Krissa drew a circle with a radius of 4 inches.

Fill in the blanks.

The area of the circle is _______ square inches and the circumference is _______ inches.

64π, 16π

16π, 8π

16π, 64π

8π, 16π

Answers

Answer: second option: 16π, 8π

Explanation:

1) To calculate the area use the formula:

Area = π (radius)^2

radius = 4 in => area = π (4 in)^2 = 16π in^2

2) To compute the circumference use the formula:

Circumference = 2π(radius)

=> Circumference = 2π (4 in) = 8π in.

To calculate the area of a circle, use the formula A = πr², where r is the radius. For this specific circle with a radius of 4 inches, the area is 16π square inches, and the circumference formula is C = 2πr, resulting in a circumference of 8π inches.

To find the area of a circle: A = πr². Substituting the given radius of 4 inches, we get Area = π(4)² = 16π square inches. The circumference of a circle is C = 2πr. Substituting the radius, we get C = 2π(4) = 8π inches.

Jacob drew the similar triangles below to represent the sides of two bicycle stunt jumps. The area of the smaller triangle is 36 square inches. what is the area of the larger triangle?

A. 54
B.108
C. 324
D. 432

Answers

The answer is D. 432.
Solution to this is,
36 x 12= 432
If the area of the smaller triangle is 36, then the answer to the area of the larger triangle is 432 inches square.

Anyone have a proper answer for this?

Answers

by the same "tangent-chord angle theorem" as you saw before, you have a tangent, and an arc, the arc is 120°, so the enclosed angle by both, namely ∡y, is half that of that arc.

Hey there

Could you plz help me id appreciate it so much: )
LIMITED TIME

Answers

The independent variable is known as 'x', and the dependent variable is known as 'y'. They just changed the variables here 'f(t)' or 'f(x)' is the same thing as 'y', and 't' is the same thing as 'x'.

So 't' is the independent variable, and 'f(t)' is the dependent variable.

The wording of the second option, the second to last, and the last is all correct. The questions says "let 't' be the time in years after 2000", so if 't' were say 5, this would mean 5 years after 2000 or 2005. The question also states "let f(t) be the amount of garbage", so the result must be the amount of garbage.

So now we just need to confirm if the calculations were done correctly.

Option 2:

[tex]\sf f(2)=1233[/tex]

This is the same thing as saying if you plug in 2 for 't', you will get 1233, let's try it:

[tex]\sf f(t)=1200\cdot (1.05)^t[/tex]

Plug in 2 for 't':

[tex]\sf f(2)=1200\cdot (1.05)^2[/tex]

Simplify the exponent:

[tex]\sf f(2)=1200\cdot (1.1025)[/tex]

Multiply:

[tex]\sf f(2)=1323[/tex]

So option 2 is incorrect, and we see also that option 6 is correct. Now for the last one:

Option 7:

[tex]\sf f(4)=1458.6[/tex]

This is the same thing as saying if you plug in 4 for 't', you will get 1458.6, let's try it:

[tex]\sf f(t)=1200\cdot (1.05)^t[/tex]

Plug in 4 for 't':

[tex]\sf f(4)=1200\cdot (1.05)^4[/tex]

Simplify the exponent:

[tex]\sf f(4)=1200\cdot (1.21550625)[/tex]

Multiply:

[tex]\sf f(4)\approx 1458.6[/tex]

So the last option is also correct.

So your answers are options 3, 4, 6 and 7.

What is the equation of the midline for the function y = 2sin(x - π) + 3

Answers

the maximum value of sin(x-π) is 1, the minimum is -1, so the maximum value for the function y = 2sin(x - π) + 3 is 2*1+3=5, the minimum is -2+3=1, half way between 5 and 1 is 3, so y=3 is the midline.

The equation of the midline for the function 2sin (x - π) + 3 is y = 3.

What is the Midline of a Function?

The midline of a function is the line horizontal to the minimum value and maximum value of the function.

Given function is 2sin (x - π) + 3.

We know the trigonometric formula,

sin (A - B) = sin A cos B - cos A sin B

sin (x - π) = sin x cos π - cos x sin π

= (sin x × -1) - (cos x × 0) [Since cos π = -1 and sin π = 0]

= -sin x

So, 2sin (x - π) + 3 = -2sinx + 3

Now, we know that,

-1 ≤ sin x ≤ 1

Multiplying whole sides by -2,

2 ≥ -2sin x ≥ -2

[since the inequality sign changes when negative is multiplied or divided]

Adding 3 throughout,

5 ≥ -2sin x + 3 ≥ 1

Maximum value is 5 and minimum value is 1.

Midline value = (5 + 1) / 2 = 3

So the equation of the midline is y = 3.

Hence the equation of midline is y = 3.

Learn more about Midlines of Functions here :

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A playground is being designed where children can interact with their friends in certain combinations.

If there is 1 child, there can be 0 interactions.
If there are 2 children, there can be 3 interactions.
If there are 3 children, there can be 12 interactions.
If there are 4 children, there can be 39 interactions.

Which recursive equation represents the pattern?

an = an – 1 + 3(n – 1)

an = an – 1 + 3(n – 1)

an = an – 1 + (3n – 1)

an = an – 1 + (n – 1)3

Answers

From your situations given:
If there is 1 child, there can be 0 interactions.
If there are 2 children, there can be 3 interactions.
If there are 3 children, there can be 12 interactions.
If there are 4 children, there can be 39 interactions.

The equation would be an = an – 1 + 3(n – 1)

Answer:

[tex]a_n=a_{n-1}+3^{n-1}[/tex]

Step-by-step explanation:

It is given that

If there is 1 child, there can be 0 interactions.

If there are 2 children, there can be 3 interactions.

If there are 3 children, there can be 12 interactions.

If there are 4 children, there can be 39 interactions.

It means we have,

[tex]a_1=0, a_2=3, a_3=12, a_4=39[/tex]

We need to find the recursive equation that represents the pattern.

[tex]a_2=3\Rightarrow 0+3=a_1+3[/tex]

[tex]a_3=12\Rightarrow 3+9=a_2+3^2[/tex]

[tex]a_4=39\Rightarrow 12+27=a_3+3^3[/tex]

Similarly,

[tex]a_n=a_{n-1}+3^{n-1}[/tex]

Therefore, the required recursive formula is [tex]a_n=a_{n-1}+3^{n-1}[/tex].

HELP PLS with this geometry problem

Answers

Angle A = arctan(12/5) = 67.4 degrees

Angle A = arccos(5/13) = 67.4 degrees

yes the answer was the same

If the height of Mount Everest is about 8.8×103 meters, and the height of the Empire State Building is about 3.8×102 meters, which of these statements is true?

Answers

Mount Everest is about 23 times as tall as the Empire State Building. Hope that helps!

Answer:

option C is correct, i.e. Mount Everest is about 23 times as tall as the Empire State Building .

Step-by-step explanation:

Given options are:-

A. There is no way to compare these heights .

B. Mount Everest is about 40 times as tall as the Empire State Building .

C. Mount Everest is about 23 times as tall as the Empire State Building .

D. The Empire State Building is about 23 times as tall as Mount Everest.

Given the height of Mount Everest is about 8.8×10^3 meters, and the height of the Empire State Building is about 3.8×10^2 meters.

Finding ratios of given heights:-

[tex]\frac{Mount\;\;Everest}{Empire\;\;State\;\;Building} =\frac{8.8*10^3m}{3.8*10^2m} \\\\\frac{Mount\;\;Everest}{Empire\;\;State\;\;Building} =23.15789474 \approx 23 \\\\Mount\;\;Everest=23*(Empire\;\;State\;\;Building)[/tex]

Hence, option C is correct, i.e. Mount Everest is about 23 times as tall as the Empire State Building .

A product transformation _____.
multiplies coordinates to transform the image
combines the coordinates of multiple transformations
finds the result of combining multiple transformations
uses a scale factor to multiply coordinates of the image

Answers

The answer is 'D' because a transformation needs to have a pattern. Only A and D have a pattern to them and B and C don't because they are random every time. It's not A because it doesn't specify what you multiply the coordinates by.

Answer:

The answer is C

Step-by-step explanation:

PLEASE HELP 20 POINTS!!!!!!!!! The graph below shows a system of equations: Draw a line labeled y equals x plus 4 by joining the ordered pairs negative 4, 0 and 1, 5. Draw a line labeled 3 times y equals minus 2 x plus 2 by joining the ordered pairs negative 2, 2 and 4, negative 2 The x-coordinate of the solution to the system of equations is__________

Answers

2 y = - x - 12 y = x + 5

- x - 1 = x + 5- 2 x = 5 + 1- 2 x = 6x = - 6 : 2x = - 32 y = - 3 + 52 y = 2y = 1The solution is ( - 3 , 1 ).Answer: x = - 3.

this was easy it is -3

Please help me. Thank you.

Answers

The equation for Circumference is: 2πr

The diameter is 8.4 cm

to find radius (r), divide 8.4 by 2

8.4/2 = 4.2

plug in 4.2 for "r"

2π(4.2)

8.4π cm is your answer

hope this helps

The sum of 19.3 and a number is 30.4. which eqation can be used to sole the problem?

Answers

the equation is

19.3 + n = 30.4

Answer:

19.3+n+30.4 (B on edg)

Step-by-step explanation:

What does (r−c)(5) mean about George's new store?

Answers

store will have a profit of 5400 after it's fifth month in business
Answer is C

PLEASE HELP ASAP!
You have been hired by a museum to make a scale drawing poster of a painting to sell at the gift shop. The painting is 65in high by 105in wide. You are asked to use a 1in = 5in scale. What will the dimensions of your poster be? (2 points)

Answers

we know that
[scale]=[poster]/[painting]
[poster]=[painting]*[scale]
scale=1/5

then

for high = 65 in the painting
[poster]=[painting]*[scale]-----------> [65]*[1/5]-----> 65/5-------> 13 in

for wide = 105 in the painting
[poster]=[painting]*[scale]-----------> [105]*[1/5]-----> 105/5-------> 21 in

the answer is
The dimensions of the poster will be 15 in x 21 in

The angle between 0 and 2 π in radians that is coterminal with the angle 62 9 π in radians is

Answers

ill recomment on my thing right now with the answer let me just go read up on how to do this

8π/9 is coterminal with 62π/9 and lies between 0 and 2π.

Given that, the angle between 0 and 2 π in radians that is coterminal with the angle 62π/9 in radians.

What is the coterminal with the angle?

The coterminal angles are the angles that have the same initial side and the same terminal sides. We determine the coterminal angle of a given angle by adding or subtracting 360° or 2π to it.

To find a coterminal angle, add or subtract any multiple of 2π, that is

62π/9 - 2π = (62π-18π)/9

44π/9 - 2π = 26π/9

26π/9 - 2π = 8π/9

Therefore, 8π/9 is coterminal with 62π/9 and lies between 0 and 2π.

To learn more about the coterminal with the angle visit:

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Can someone do question 3 by showing step by step solutions

Answers

The question is asking for the largest possible area

BUT it only gives you details on the perimeter of the fence. One of the sides of the area enclosure will be used from his fence and he has a maximum of 1,000 meters available for a perimeter... So the first step is to set up a perimeter equation and solve for the dimensions, before solving the max area problem

The equation for the perimeter will be:
2 (Width) + 1 (Length) = 1,000 m
Theres only 1 length being included in the equation because the fence the farmer has will be used instead of the building materials.

Solving for Length =
L = 1,000 m - 2 Width

Now using this equation (and replacing the L) into Area of a rectangle:
Length * Width = (1,000 m - 2 W) * W =

Area = - 2(W^2) + 1,000 W

Now that we have the area, there are a few methods to find the maximum amount. Using calculus we can find the derivative of the function and solve for critical points to find extrema points and find the absolute maximum area.

You can also solve this using algebra by factoring this function because its a quadratic and then you can solve for the highest values. y = -2x^2 +1000x
= -2x(x + 500) where x = 0 and -500

Checking at x = -1, y(-1) = 998

***** EDIT *****

Sorry, the question is only asking for the dimensions of the fence. Its not asking for you to solve the actual maximum size.

The dimensions would be 2 Width x Length

The distance from the origin to the point (-24, 32) is

Answers

The Pythagorean theorem tells you that distance is
.. √((-24)^2 +32^2)) = √(576 +1024) = √1600 = 40

Question 4 find the indicated probability or percentage for the normally distributed variable. the volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. what is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz?

Answers

Answer: 40.13% of the soda bottles will have a volume less than 32 oz.

First, we need to find the z-score. That is the number of standard deviations below the mean.

(32 - 32.3) / 1.2 = -0.25

A bottle of 32 oz is -0.25 standard deviations below the mean. Use a standard normal distribution probability table and you will find the 40.13% of the scores are below a z-score of -0.25.

Consider the following pair of equations:

y = x + 4
y = −2x − 2

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answers

The pair of equations:
y = x + 4
y = -2x - 2

To solve the system of equation by substitution, you would substitute one variable for it's equivalent expression. Combining the pair of equations into one equation in only one variable. The easiest way to do this is by substituting out the variable y because it is already alone on one side of the equal sign. Substitute the y in the second equation for: x+4

x+4 = -2x - 2
solve for x
x + 2x = -2 -4
3x = -6
x = -2

now use the value for x to find y by putting into either equation.

y = x + 4
y = (-2) + 4
y = 2

solution is: (-2, 2)

The opening of the tunnel can be modeled by the graph of the equation y=-0.18x^2+4.4x-12 where x and y are measured in feet. Find the maximum height of the tunnel.

Answers

1. To find the vertex of a parabolla whose equation is written in the standard form, you must apply the following proccedure:

2. You have:

y=-0.18x²+4.4x-12

a=-0.18
b=4.4

3. You must apply the following formula:

x=-b/2a
x=-4.4/2(-0.18)
x=-4.4/-0.36
x=12.22

4. When you susbtitute x=12.22 into the equation y=-0.18x²+4.4x-12, you obtain:

y=-0.18x²+4.4x-12
y=-0.18(12.22)²+4.4(12.22)-12
y=14.88 feet

5. The answer is: The maximum height of the tunnel is 14.88 feet

Anyone have the proper answer to this?

Answers

The translation rule used here is (x+2 , y+4).

So the image of (-7,3) will be:

(-7+2 , 3+4)
(-5 , 7)

So the answer is (-5,7).

Hope this helps :)

Help! Please. I don't get this.

Answers

a) ∠SQR and ∠2
b) Q
c) QR and QT

Triangle ABC has vertices A(5, 3) , B(3, 7) , and C(1, 4) . Triangle ABC is dilated, and the vertices of the image are A′(1.25, 0.75) , B′(0.75, 1.75) , and C′(0.25, 1) . The center of dilation is the origin. What is the scale factor of the dilation? 0.25 0.5 2 4

Answers

fFirst, we have the following points:
A (5, 3)
B (3, 7)
C (1, 4)
We multiply these vertices by a factor k to obtain the new vertices:
A '(k * 5, k * 3) = (1.25, 0.75)
B '(k * 3, k * 7) = (0.75, 1.75)
C '(k * 1, k * 4) = (0.25, 1)
We note that the value of k is: k = 1/4
Answer:
the scale factor of the dilation is:
0.25

This is the answer the other is right

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