A new car is purchased for $30,000 and over time its value depreciates by one half
every 5 years. What is the value of the car 11 years after it was purchased, to the
nearest hundred dollars?

Answers

Answer 1

Answer:

Step-by-step explanation:

6600

Answer 2

The car is about $6529.12 eleven years after it was bought.

What is an exponent?

The formula below can be used to determine a car's value after a particular number of years if its value depreciates by half every five years:

[tex]\rm P=P_{\circ} \left ( \dfrac{1}{2} \right)^{x/5}[/tex]

Here, x is how long ago the car was bought.

With x = 11 and a starting value of $30,000, this calculation yields:

[tex]\rm P=$30,000 \times \left ( \dfrac{1}{2} \right)^{11/5}\\[/tex]

Simplify the equation, then we have

P = $30,000 x 0.2176

P = $6529.12

The car is about $6529.12 eleven years after it was bought.

More about the exponent link is given below.

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Related Questions

250 grams of flour cost $ 17 .00 . how muchnwill 3 bags each holding 1.5kg of flour cost​

Answers

Answer:

$51.00

Step-by-step explanation:

One bag price multiply it number of price bag wanted $17.00 × 3 =$51.00

PLS HELP 80 POINTS AND BRAINLIEST What is the surface area of the rectangular prism below?




17 yd²

84 yd²

108 yd²


168 yd²

Answers

Answer:

168 yd²

Step-by-step explanation:

1) Dark Grey:

[tex]A_1 = 2(2 * 9) = 2* 18 = 36\ yd^2[/tex]

2) Light Grey:

[tex]A_2 = 2(2*6) = 2*12 = 24\ yd^2[/tex]

3) Whitish-Grey:

[tex]A_3 = 2(6*9) = 2 * 54 = 108\ yd^2[/tex]

4) Total Area:

[tex]A = A_1 + A_2 + A_3 = 36 + 24 + 108 = 168\ yd^2[/tex]

some body help meee!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x=3

Step-by-step explanation:

This is a vertical line.

Vertical lines are of the form x=  since the x value does not change

x=3

The formula for the area of a triangle is A = (1/2)(b)(h), where A is the area, b is the base, and h is the height.
Find the base of a triangle if its area is 279 square inches and its height is 18 inches.

Answers

The answer is 31

Step-by-step explanation:

A = 1/2 bh

279= 1/2b x 18

558 = 18b we divided both side by 18

b=31

How many gallons are in 48 pints?

Answers

Answer:

6

Step-by-step explanation:

Answer:

There would be 6 gallons.

Step-by-step explanation:

Within a gallon, there are 8 pints. With this in mind, create a ratio of gallons to pints to solve the problem

Gallons : Pints

1 : 8

If we were to have 48 pints, there would therefore be 6 gallons, as 48/6 --> 8

Gallons : Pints

6 : 48

The circumference of a circle 25.12ft. What is the circle’s diameter (take =3.14

Answers

Answer:

Diameter = 8 ft

Step-by-step explanation:

To find diameter, we need to work backwards from the formula for circumference of a circle.

Circumference = 2πr

given that π = 3.14

Circumference = 2*3.14*r

25.12 = 2*3.14*r

25.12 = 6.28 * r

4 = r

Radius = 4

Formula for Diameter =

D = 2r

D = 2*4

D = 8

Diameter = 8

Lets Check

Circumference = 2 * 3.14 * 4

Circumference = 25.12

Correct

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

8. If KITE is a kite, find the value of x and y.

A)x=5, y=5
B)x=3, y=5
C)x=8, y=3
D)x=3, y=8

Answers

Answer:

x = 3; y = 8

Step-by-step explanation:

Sides KI and KE are congruent.

4x = 12

x = 3

Sides IT and ET are congruent.

3y - 4 = 20

3y = 24

y = 8

Answer: x = 3; y = 8

HELP ME PLEASEEEEEEEEEEEE

Answers

Answer:

1080 in^2

Step-by-step explanation:

Answer:

180 in^2

Step-by-step explanation:

A 12" wide by 30" flag has the area  A = (1/2)(base)(height) square inches, or 180 square inches.


Which of the following values are in the range of the function graphed below?
Check all that apply

Answers

Answer:

6

Step-by-step explanation:

I Just answered the question on my test

cions: Write the decimal as a percent and as a fraction or mixed number in simplest
0.15
0.9
0.02

Answers

Answer
15%
90%
2%
Explanation

Plz stop deleting my questions! This is a urgent!!plz help meee!,

Answers

Answer:

B

Step-by-step explanation:

Its really not hard. Just look at the chart. Find the 96 in the chart. What is it under? Flowers ordered. Which flower? Petunias. So its B. I'm sure you could have figured that out on your own. Not being rude, just telling you.

help me on this plz and thank you

Answers

By solving for x you get x=6

Answer:

x = 6

Step-by-step explanation:

12x = 72

72/12 = 6

x = 6

picture included-11 points

Answers

Answer:

Using the Pythagoras theorem, we have:

[tex]c = \sqrt{a {}^{2} + b {}^{2} } [/tex]

with a = 5, b = 6, we have:

[tex]c = \sqrt{5 {}^{2} + 6 {}^{2} } = \sqrt{61} [/tex]

If (x, 0) lies on the graph of y = logbx , then x =
1
B
0

Answers

Answer:

1

Step-by-step explanation:

Need help quick thank you in advance

Answers

Answer:

eeeerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrm i have no idea

Step-by-step explanation:

#1

Solving for x only

[tex]\\ \sf\Rrightarrow x+90+55=180[/tex](Linear pair

[tex]\\ \sf\Rrightarrow x+145=180[/tex]

[tex]\\ \sf\Rrightarrow x=35°[/tex]

#2

[tex]\\ \sf\Rrightarrow x+32=90[/tex]

[tex]\\ \sf\Rrightarrow x=90-32=58°[/tex]

And

[tex]\\ \sf\Rrightarrow y+x=90°[/tex]

[tex]\\ \sf\Rrightarrow y=90-58=32°[/tex]

help I want to understand how to do this

Answers

9514 1404 393

Answer:

arc RS = 100°RS is a minor arcarc ST = 80°

Step-by-step explanation:

The measure of an arc of a circle is the same as the measure of the central angle it subtends. That is, arc RS has the same measure as central angle RPS, which is marked as 100°.

Of course, the total of all central angles, hence all arcs, of a circle is 360°. A diameter of a circle cuts the circle in half, so each semicircle has a central angle measure and arc measure of 180°.

Any arc that is more than a semicircle is called a "major" arc. If it is less than a semicircle, it is a "minor" arc. Arcs RS and ST are minor arcs.

As always in geometry, the whole is the sum of the parts, so arcs RS and ST are supplementary. They total the measure of semicircle RST, which is 180°. Then ST = 180° -RS = 180° -100° = 80°.

__

Additional comment

Usually, an arc identified only by its end points is a minor arc. If the major arc is intended, then it will either be described as "major arc RS" or a point on the major arc will be given, as "arc RTS". The measure of arc RTS is 280°.

The radius of a sphere is 3 inches. Which represents the volume of the sphere? o 12pie cubic inches 36pie cubic inches O 64pie cubic inches 81pie cubic inches​

Answers

Answer:

36 pie cubic inches

Step-by-step explanation:

Use the formula: [tex]V = \frac{4}{3} \pi r^{3}[/tex]

Plug in the value for radius and solve:

[tex]V = \frac{4}{3} \pi 3^{3}[/tex]

Becuase of the nature of the answer options, you only have to solve to a certain point: [tex]V = 36 \pi[/tex]

Find the area of this triangle round to the nearest tenth

Answers

Answer:

128.08 in^2

Step-by-step explanation:

A=1/2 ab SinC

=1/2×11×24×Sin 76

The area of given triangle is 128.1 square inches.

What is area of SAS triangle?

The area of a SAS triangle is the total amount of space it encloses in a 2-dimensional plane. "SAS" which means "Side, Angle, Side", is the property of a triangle whose 2 sides and the angle between these sides is given.

The formula to calculate the area of a triangle using SAS is given as,

1. When sides 'b' and 'c' and included angle A is known, the area of the triangle is: 1/2 × bc × sin(A)

2. When sides 'b' and 'a' and included angle B is known, the area of the triangle is: 1/2 × ab × sin(C)

3. When sides 'a' and 'c' and included angle C is known, the area of the triangle is: 1/2 × ac × sin(B)

Given

a = 24 inches

b = 11 inches

∠C=76°.

Area of SAS triangle = [tex]\frac{1}{2} absinc[/tex]

Area = [tex]\frac{1}{2}(24)(11)sin76^{0}[/tex]

Area = 128.079 ≅ 128.1 (nearest  tenth)

Hence, the area of given triangle is 128.1 square inches.

Find out more information about area of SAS triangle here

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Please I need help for this..


Kelly works in a grocery store stocking shelves. The graph below shows the money Kelly earns stocking shelves.




Write an equation to represent the money Kelly earns in relationship to the hours she works. Let m represent the money she earns, and let h represent the number of hours she works.

Answers

Answer: m=1/8h

Step-by-step explanation:

When writing a linear equation, the slope is always rise over run. When it rises (goes up) 1, it runs (goes to the side 8. So the slope is 1/8. There is no y intercept because the line passes through (0, 0). The equation is m= because the amount of money earned equals 1/8h.

don invested $ 5 000 in an account paying 5% simple interest per year for 7 years. a) how much interest will don earn at the end of 7 years?b) how much will be in Don's account at the end of 7 years?

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment (P)= $5,000

Interest rate (r)= 5% simple interest

Number of periods (t)= 7 years

To calculate the interest earned, we need to use the following formula:

I= P*r*t

I= 5,000*0.05*7

I= $1,750

To calculate the future value of the investment, we need to use the following formula:

FV= I + P

FV= 1,750 + 5,000

FV= $6,750

what directed number is suggested by the statement "I gained 3 pounds "?​

Answers

Answer:

The directed number suggested is +3.

Step-by-step explanation:

A directed number is one that has either a positive or negative sign, so that it could be easily located on the number line. Thus, the sign shows the direction of the number. Examples are: -2, -1, +5, +6 etc.

From the given question, let the initial weight be represented by W, then:

I gained 3 pounds implies at that; 3 pounds was added to my initial weight. Thus, my present weight is my initial weight + 3 pounds.

i.e I gained 3 pounds ⇒ W + 3

So that the directed number suggested by the statement is +3.

f(x)=x-7/x
What is the domain of f?

Answers

Answer:

domain: {x ≠ 0}

Step-by-step explanation:

Plz help me well mark brainliest if correct!....

Answers

Answer:

the answer to the question is A

can anybody help me please

Answers

Answer:

[tex]the \: forth \: answer \: is \: correct \: answer[/tex]

Use grid paper to find the median of the data. 16, 24, 13, 36, 22, 26, 22, 28, 25 will give Briainelst​

Answers

Answer:

24

Step-by-step explanation:

put them in ascending order then cross of one each side still you reach the middle

PLEASE HELP ASAP PLEASE I'VE BEEN UP ALL NIGHT TRYING TO DO IT I DON'T UNDERSTAND PLZ HELPP!!​

Answers

Answer:

Angle COD=40

Step-by-step explanation:

(2a+62)+ (54-a)+(5a-20)=180

6a+96=180

6a=84

a=14

Angle AOC=2(14)+62=90

Angle COD=54-14=40

Angle DOB=5(14)-20=50

Answer:

Angle COD, 40 degrees

Step-by-step explanation:

Alrighty, to start, Angle AOB is a 180 degree angle because it is a line.

Therefore, if we combine all of the variables and numbers together, we can set it equal to 180 degrees to find a.

2a+62+54-a+5a-20

6a+96=180

6a=84

a=14

Next, plug in this value into each of the given angles provided with variables and numbers:

Angle AOB:

2a+62

2(14)+62

28+62

90 degrees

Angle COD:

54-a

54-14

40 degrees

Angle DOB:

5a-20

5(14)-20

70-20

50 degrees

From this, it can be found that Angle COD has the smallest angle, with it being 40 degrees.

Can someone please help with this math problem

Answers

Given:

The function is:

[tex]y=(f(x))^2[/tex]

To find:

The derivative of the given function at x=1, i.e., y'(1).

Solution:

Chain rule of differentiation:

[tex][f(g(x))]'=f'(g(x))g'(x)[/tex]

We have,

[tex]y=(f(x))^2[/tex]

Differentiate with respect to x.

[tex]y'(x)=2(f(x))\dfrac{d}{dx}f(x)[/tex]

[tex]y'(x)=2f(x)f'(x)[/tex]

Putting [tex]x=1[/tex], we get

[tex]y'(1)=2f(1)f'(1)[/tex]

From the given table of values it is clear that f(1)=3 and f'(1)=3. Putting these values in the above equation, we get

[tex]y'(1)=2(3)(3)[/tex]

[tex]y'(1)=18[/tex]

Therefore, the value of y'(1) is 18.

This figure shows two identically sized posters that need to be hung on a
10-foot-wide wall.
How far apart, in feet, should each poster be for x to be the same distance
at all three places

Answers

Answer: 2.5 ft

Step-by-step explanation: Add 1 1/4 + 1 1/4  =  2.5

Subtract 2.5 ft from 10 ft = 7.5 ft  divided by 3 places = 2.5 ft

To check answer: 2.5ft + 2.5ft + 2.5ft + 1 1/4ft + 1 1/4ft = 10 ft

The distance between the two identically sized posters should be 2,5 ft at all three places.

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

Let x be the distance between the two identically sized posters.

Add 1 1/4 + 1 1/4  =  2.5

The total length of the given wall is 10 ft.

here, the equation formed as

x + x +x + 2.5 = 10

3x + 2.5 = 10

3x = 10 - 2.5

3x = 7.5

x = 2.5

So, The distance between the two identically sized posters should be 2,5 ft at all three places.

Learn more about linear equations;

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At football games, Stagg Boosters charges $2 for hot chocolate and $3 for Gatorade. The boosters sold
126 drinks totaling $306. How many hot chocolates did they sell?

Pleas help!

Answers

Answer:

72 hot chocolates

Step-by-step explanation:

2h + 3g=306 equation 1 h=hot chocolate g=Gatorade

h + g =126. equation 2

h=126-g isolate h in equation 2

2(126-g) + 3g =306 substitute h value of equation 2 (126-6) into h value eq 1

252-2g+3g=306

g=54

solve for h:

h + g = 126

h+54=126

h=72

check answer:

2h + 3g=306

2(72) +3(54)=306

144+162=306

306=306

9) The present ages of Juna and Jubin are in the ratio 5:8. After 4 years the sum
of their ages will be 34. Find their present ages.​

Answers

Answer:

Present age of Juna = 10 years

Present age of Jubin = 16 years

Step-by-step explanation:

Ratio of present ages = 5: 8

Let the present ages of:

Juna be 5x years and Jubin be 8x years

(where x is the common multiplier of the given ratios)

Four years after:

Juna's age = (5x + 4) years

Jubin's age = (8x + 4) years

According to the question:

(5x + 4) + (8x + 4) = 34

13x + 8 = 34

13x = 34 - 8

13x = 26

x = 26/13

x = 2

5x = 5*2 = 10 years

8x = 8*2 = 16 years

Hence,

Present age of Juna = 10 years

Present age of Jubin = 16 years

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