It is estimated the value of a new car decreases by 30% after one year of ownership. Find the
value of a car after one year of ownership if the cost of the new car was $24,300.

Answers

Answer 1
Answer: 17 010

If $24300 is the 100% (full price), then after year it would be 70% of that cost (because 100% decreases by 30% in a year). We can cross multiply the values:
$24300 100%
x 70%
so cross multiplying: 100 with x and 24300 with 70
-> 100x = 1701000
so the x will be 17010

Related Questions

Find the area of the shaded region. Round your answer to the nearest tenth.
please help

Answers

Answer:

41.0 cm^2 to nearest tenth.

Step-by-step explanation:

Required area = Area of the semicircle - area of the clear triangle

Area semicircle = 0.5πr^2

= 0.5π *6^2

= 18π.

Finding Altitude h of the triangle :

cos 60 =  h / 6

h = 6 cos 60 = 6 * 1/2

= 3.

Finding Base b of the triangle:

sin 60 = 0.5b / 6

0.5b = 6 * sin 60

= 5.196.

So area of the triangle = h * 0.5b

= 3 * 5.196

Area of shaded region

= 18π -  3 * 5.196

= 40.96 cm^2

Answer:

38.52 cm²

Step-by-step explanation:

Take the shaded area to be found into 2 parts :

Left sectorTop area subtended by the chord

Area of left sector

As the area subtended by the chord takes up an angle of 120°, the remaining angle of the semicircle is :180° - 120° = 60°Area = πr² x (angle of sector)/360°Area = 3.14 x (6)² x 60/360Area = 3.14 x 36 x 1/6Area = 3.14 x 6Area = 18.84 cm²

Area subtended by top chord

Area (120° sector) - Area (triangle)Area = πr² x θ/360 - 1/2bhArea = 3.14 x 36 x 120/360 - 1/2 x 6 x 6Area = 3.14 x 12 - 18Area = 37.68 - 18Area = 19.68 cm²

Area (shaded)

Area (left sector) + Area (subtended by chord)18.84 + 19.6838.52 cm²

A truck driver earns $51.20 driving an 80-mile route. The driver’s next route is 120 miles long and is billed at the same rate.
How much does the driver earn on this next route?

Answers

Answer:

$76.80

Step-by-step explanation:

since you can't multiply to more easially get your answer you want to divid ethe $51.20 by 2  which = $25.60

he get's 25.60 for 40 miles

since 120 divided by 3 = 40 this means:

40x3=120

25.60x3=76.80

25.60+25.60=51.20+25.60= 76.80

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

pleaseeeeeeeeee help math

Answers

Answer: 8

Step-by-step explanation: to find 20% multiply 40 by .20

8

40*0.2 which gives u the answer 8

Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with center at point C.


Alicia draws two diameters and connects the points where the diameters intersect the circle, in order, around the circle.


Benjamin tells Alicia that she was not being very accurate. He says that the diameters must be perpendicular to each other. Then she can connect the points, in order, around the circle.


Caleb tells Alicia and Benjamin that he doesn’t need to draw the second diameter. He says that because a triangle inscribed in a semicircle is a right triangle, he will simply draw two such triangles, one in each semicircle. Together the two triangles will make a square.


Who is correct?

Only Alicia is correct.


Only Benjamin is correct.


Only Caleb and Benjamin are correct.


Only Caleb is correct.


Alicia, Benjamin, and Caleb are all correct

Answers

i think is C i don’t know if i am right

I got the question wrong

Answers

Answer:

Philadelphia

Step-by-step explanation:

Philadelphia

in 1990 the population was 1.6 million.in 2000 the population decreased to about 1.5 million.

San Diego

in 1990 the population was 1.1 million.in 200 the population increased to about 1.2 million

Houston

in 1990 the population was 1.6 million.in 2000 the population increased to 2 million.

Phoenix

in 1990 the population was 1 million.in 2000 the population increased to 1.2 million.

Answer: D) Philadelphia

Explanation:

The top bar as a darker shade represents the population in 1990, and the lighter shade down below is the population for the year 2000.

The city of Dallas has its population increase because the lighter shaded bar is longer. This rules out choice A. Choices B and C are ruled out for similar reasoning (Phoenix and San Diego also show population growth).

Only Philadelphia experiences population decline during this time period.

If sally had 5 apples and Sam took 3 how many apples are left

Answers

Answer:

2 apples are left

Step-by-step explanation:

Perry pays $340 per month to lease her car. How much will she pay to lease her car for two years?

Answers

$340 × 24 (12 months in one year)

= $8160

Ans: $8,160

Explanation:
There are 24 months in 2 years. If she pays 340 per month, then 340*24 is 8160.


A camera lens magnifies an object 10 exponent 3 times. The length of an object is
10 exponent -4 centimeter. What is its magnified length?

Answers

Answer:

10^3/10^-4

Step-by-step explanation:

FROM MATH MULLIGAN

What is Lens Focal Length

Focal length, usually represented in millimeters (mm), is the basic description of a photographic lens. It is not a measurement of the actual length of a lens, but a calculation of an optical distance from the point where light rays converge to form a sharp image of an object to the digital sensor or 35mm film at the focal plane in the camera. The focal length of a lens is determined when the lens is focused at infinity.

Lens focal length tells us the angle of view—how much of the scene will be captured—and the magnification—how large individual elements will be. The longer the focal length, the narrower the angle of view and the higher the magnification. The shorter the focal length, the wider the angle of view and the lower the magnification.

The magnified length of the object is 10⁻¹ m

What is magnified length?

An image is said to be magnified when its size is greater than that of the object, and it is said to be diminished when its size is smaller than that of the object.

Given that,

A microscope magnifies an object 10³ times. The length of an object is 10⁻⁴ meters. The magnified length is:

10³ × 10⁻⁴ m

We can solve this by applying the Product of Powers Property. This property states that to multiply powers having the same base, we have to add the exponents.

10³ × 10⁻⁴ m

= 10³⁺⁽⁻⁴⁾ m

= 10³⁻⁴ m

= 10⁻¹ m

Hence, the magnified length is 10⁻¹  m.

Learn more about magnified length, click;

https://brainly.com/question/15269550

#SPJ2

In a group of 50 patrons, 14 patrons like lattes and espressos, 11 patrons like
espressos and cappuccinos, 7 patrons like lattes and cappuccinos, and 3
patrons like all 3 coffee drinks. Altogether, 22 patrons like lattes, 30 patrons
like espressos, and 23 patrons like cappuccinos. How many patrons don't like
any of these coffee drinks?

Answers

Answer:

B

Step-by-step explanation:

This problem can be solved using a venn diagram! Just draw bubbles and the common numbers! I attached an image below!

With these numbers we can see how many there are in common. By subtracting the common numbers we get that there are 4 that don't like any. So the answer is B.

Lesson 4.02
A grocery store finds that the number of boxes of a new cereal sold increases each week. In the 1st week,
32 boxes of the cereal were sold. In the 2nd week, 56 boxes of the cereal were sold and in the 3rd week 80
boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic
sequence.
A) State the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in
week n.
B) Use this rule to calculate how many boxes of cereal will be sold during the 12th week.

Answers

The boxes in the grocery store is an illustration of an arithmetic sequence

The explicit rule of the sequence is f(n) = 32 + (n - 1) * 24, and there are 296 boxes in the 12th week

How to determine the explicit rule?

The arithmetic sequence can be represented as:

32, 56, 80.......

Calculate the common difference (d)

d = 80 - 56 = 24

An arithmetic sequence is represented as

f(n) = a + (n -1) * d.

So, we have

f(n) = 32 + (n - 1) * 24

The number of box in the 12th week.

This means that n = 12.

So, we have

f(12) = 32 +(12-1)*24

Evaluate

f(12) = 296

Hence, there are 296 boxes in the 12th week

Read more about arithmetic sequence at:

https://brainly.com/question/6561461

Need ans for it fastt!!

Answers

[tex]\text{L.H.S}\\\\=\dfrac{1}{\sin^2 A} - \dfrac1{\tan^2 A}\\\\\\=\dfrac{1}{\sin^2 A}- \dfrac{1}{\tfrac{\sin^2 A}{\cos^2 A}}\\\\\\=\dfrac{1}{\sin^2 A} - \dfrac{\cos^2 A}{\sin^2 A}\\\\\\=\dfrac{1 - \cos^2 A}{\sin^2 A}\\\\\\=\dfrac{\sin^2 A}{\sin^2 A}\\\\\\=1\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

Need some help with a math problem. The problem is: The figure is made by attaching semicircles to each side of an 11 ft-by-11-ft square. Find the area, in square feet, enclosed by the figure. Use 3.14 for pi. Round to the nearest whole number.

Answers

One circle is pi (r)
5.5 is half of 11 which is the radius.
5.5* 3.14 =17.27 for one semicircle
17.24*4 = 69.08 for four semicircle
+ the square which is 11*11=121
121(the square) + 69.08(the circles) =
190.08ft^2

What is it? pls help!

Answers

Answer: rational number

Step-by-step explanation: -2.33333 ...

Answer:

Classifications 1 & 2

Step-by-step explanation:

Real number: because It is located on the number line, belongs to negative numbers.

Rational number: because it is a fraction (quotient)

-7/3 it is not a integer number or whole number

Hope this helps

Enlarge the house using a scale factor of 1 : 2.

Answers

Answer:

See picture & explanation below.

Step-by-step explanation:

The scale is 1:2, so everything is doubled in size.

Count the number of squares each segment is in length and multiply it by 2. Then draw all new segments that are twice as long as the original ones to create a house that is twice as large as the original house.

See the picture below.

BRAINLISTTT please explain how to do this!!

Answers

Answer:

You can make either an x|y list or use desmos graphing calculator to help you.

Step-by-step explanation:

x|y list means you should pick a value like -2,-1,0,1,2 and plug it in for x and the value you get is the y and you can plot those points on the graph.

What are the factors of m2 – 12m 20? m – 14 and m – 6 m – 10 and m – 2 m – 9 and m – 3 m – 5 and m – 4

Answers

Answer:

B

Step-by-step explanation:

-10 and -2

Answer:

-10 and -2

Step-by-step explanation:

Elizabeth is five-sixths the age of her
sister Nancy. If Elizabeth is ten years
old, how old is Nancy? Write an
equation
to calculate Nancy's age.

Answers

Answer: Nancy is 12

Nancy = 5/6N =10

Step-by-step explanation:

Elizabeth = 5/6N

5/6N = 10

Divide both sides by 5/6

Alissa has purchased land for $42,000. Its value is increasing at a rate of 1.75% per year. What will be
the approximate value of the land in 12 years?

Answers

Answer:

42000(1.0175)^12 = $51720.45

Step-by-step explanation:

math help i’ve been stuck on this for the longest

Answers

angle 4 and angle 2 i believe, not 100% but 70%

-2 1/5 (10x - 4.4) - 0.32

Answers

−42x+ 18.16

I think !!

Think carefully about the angle relationship the following represents.
What is the value of x?
1) 48

2) 66


3) 24


4) 33

Answers

Answer:

x = 66°

Step-by-step explanation:

The angles lie on a straight line.

→ A straight line has total 180 degrees

2(x) + 48° = 180°2(x) = 180° - 48°2(x) = 132°x = 66°

Answer:

2) 66

Step-by-step explanation:

2x + 48° = 180° (Angles in linear pair)

-> 2x = 180° - 48°

-> 2x = 132°

-> x = 132°/2

-> x = 66°

Expand & simplify
4
(
x
+
5
)
+
5
(
x

5
)

Answers

4(x+5) + 5(x-5)

The first step is to distribute (PEMDAS --> parenthesis)

4x + 20 + 5x - 25      Now combine like terms

9x - 5

Thus, the answer is 9x-5

Identify the number of vertices, edges, and faces of the polyhedron. Use your results to verify Euler's formula.

Answers

Answer:

The Last option

Step-by-step explanation:

We see this figure has eight faces, so we already know the answer choice is D, because answer choice D is the only option with 8 faces.

Now let's prove this using Euler's Formula

F = Faces

V = Vertices

E = Edges

We see 12 vertices, 8 faces, and 18 edges. Now plug in the formula.

F + V = E + 2

8 + 12 = 18 + 2

20 = 20

Yo I need to bring up my grade bad so
3x=3y-6
(please show it graphed already :D)

Answers

Answer:

Step-by-step explanation:

You have several boxes with the same dimensions. They have a combined volume of 4x4-21x²-46x + 219x + 180. Determine whether the binomial below could represent the number of boxes you have.

x+3

A) Yes; x+3 divides evenly. you get 4x^3-33x^2+53x+60
B)No; x-3 does not divide evenly. You get 4x^3-33x^2+53x+60 with a remainder of 12.
C)No; x+3 divides evenly. you get 4x^3-33x^2+53x+60

Answers

Answer:

The following are the choices for this problem:A. x+4 B. x+3 C. x-5 D. 4x+3

Factoring 4x^4-21x^3-46x^2+219x+180,  this will give us then the short answer of x+4.

The factor theorem states that if x-n is a factor of function f(x) = 4x^4-21^3-46^2+219x+180 then f(x) = 0.

So let us evaluate f(-4) which gives 4(256) - 21(-64) -46(16) +219(-4) + 180 = 936

Since the function f(-4) does not equate to zero, we could say that x+ 4 is not a factor.

So using x+3: f(-3) = 4(81) - 21(-27) -46(9) +219(-3) + 180 = 0, so x+3 is a factor.

Step-by-step explanation:

hope this helps if do mark brainllest

pls help me to answer this​

Answers

Answer: See below for the bar chart.

Explanation:

We'll have rectangles to represent the four categories mentioned in the table. The height of each rectangle (known as a "bar") represents the number of people in that particular category.

For example, we have 11 people who rated their visit as "poor", so the bar labeled "poor" will be 11 units tall. The same will apply to the other bars.

Pay special attention there are gaps between adjacent bars. This is in contrast to a histogram where there are no gaps. This is simply a style choice.

is (x+5) A FACTOR OF f(x) = x3 − 4x2 + 3x + 7

Answers

Answer:

(x+5) is not a factor of f(x)

Step-by-step explanation:

Step 1 : we solve the equation x +5 = 0

x + 5 = 0 then x = -5

Step 2: we plug in -5 into f(x)

If we get zero then x+5 is a factor of f(x)

If we get a number other than zero then x+5 is not a factor of f(x)

Calculation:

f(-5) =  (-5)³ − 4(-5)² + 3(-5) + 7 = - 233

Since we got -233 and not 0

Therefore ,(x+5) is not a factor of f(x)

Answer:

(x + 5) is not a factor of f(x) = x^3 - 4x^2 + 3x + 7

Step-by-step explanation:

To see if (x + 5) is a factor, you can use either synthetic division or long division.

I'll be using synthetic division to divide f(x) by (x + 5):

-5 | 1 -4 3 7

| -5 45 -240

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

1 -9 48 -233

The remainder is -233, which means that (x + 5) is not a factor of f(x) since there is a remainder.

Therefore, (x + 5) is not a factor of f(x) = x^3 - 4x^2 + 3x + 7.

D) If Clarissa pays $84 to buy a watch after a
discount of 20%, find the original price of the
watch

Answers

Answer:

$100.80

Step-by-step explanation:

84 * 1.20 (120%) is 100.80

Answer:100.8

Step-by-step explanation:

0.2x84=16.8 so 16.8 is the discount.

84+16.8=100.8

Please someone help!!!!
Kristine observes the top of a lookout tower from a point 220 ft from its base.

If the indicated angle of elevation measures 37º, how tall is the tower? Give your answer to the nearest tenth of a foot.

Answers

Answer:

165.8 ft (nearest tenth)

Step-by-step explanation:

We can use the tan trig ratio to calculate the height of the tower.

[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] = the angleO = the side opposite the angleA = the side adjacent the angle

From inspection of the diagram:

[tex]\theta[/tex] = 37°O = height of tower (let's call this h)A = 220 ft

Substituting these values into the trig tan ratio:

[tex]\sf \implies tan(37)=\dfrac{h}{220}[/tex]

Multiply both sides by 220:

[tex]\sf \implies 220tan(37)=h[/tex]

[tex]\sf \implies h=220tan(37)[/tex]

[tex]\sf \implies h=165.781891[/tex]

Therefore, the height of the tower is 165.8 ft (nearest tenth)

What is the equation of a line that is perpendicular to 2x+y=−4 and passes through the point (2, −8)?
please help!!!!!!!!!!!!!!

Answers

Answer:

y2=(1/2)x-9

Step-by-step explanation:

y= -2x-4

perpendicilar so multiplication of slope is -1

-2*m2=-1

m2=1/2

y2=(1/2)x+c need to passes trough (2,-8)

-8=(1/2)*2+c

-8=1+c

c=-9

y2=(1/2)x-9

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