The value of a school bus reduces from $512000 to $343000in 3 years. Find the
uniform rate of depreciation per annum (R).​

Answers

Answer 1

Answer:

The uniform rate of depreciation is $56,333 per year, or 11% per year.

Step-by-step explanation:

Rate of Depreciation

If some object has a certain value P and after some time t its value decreases to Q, the rate of depreciation is a measure of how much its value changed per unit time.

It can be calculated as:

[tex]\displaystyle R=\frac{P-Q}{t}[/tex]

It can also be expressed as a percentage, dividing the previous value by P.

The school bus reduces its value from $512,000 to $343,000 in 3 years, thus:

[tex]\displaystyle R=\frac{512,000-343,000}{3}[/tex]

[tex]\displaystyle R=\frac{169,000}{3}[/tex]

R = 56,333 $/year

Expressed as a percentage:

R = 56,333 / 512,000 = 0.11

R = 11%/year

The uniform rate of depreciation is $56,333 per year, or 11% per year.


Related Questions

Chris is saving money for his ski trip. He has $62.50,
but his goal is to save at least $200. What is the least
amount Chris needs to save to reach his goal?
a. type the inequality that represents the situation below.
b. solve the inequality to the right.

Answers

Cris needs to save 137,50 to reach his goal

Find a solution to dydx=xy+6x+4y+24dydx=xy+6x+4y+24. If necessary, use kk to denote an arbitrary constant

Answers

Answer:

f(x, y) = yx²/2 + 3x² + 4yx + 24x + K

Step-by-step explanation:

Given the expression dy/dx=xy+6x+4y+24

To find the solution, we are to make y the subject of the formula as shown

dy = (xy+6x+4y+24)dx

∫dy =∫(xy+6x+4y+24)dx

y = ∫(xy+6x+4y+24)dx

We are to integrate the function with respect to x keeping y constant. Since all constant are brought out if integral sign we will have;

y = ∫(xy)dx + ∫(6x)dx + ∫(4y)dx + ∫24dx

y = y∫xdx + 6∫xdx + 4y∫dx + 24∫dx

Integrate;

y = yx²/2 + 6x²/2 + 4yx + 24x + K

y = yx²/2 + 3x² + 4yx + 24x + K

Hence the solution to the differential expression is;

f(x, y) = yx²/2 + 3x² + 4yx + 24x + K

Where K is the constant of integration.

Write the improper fraction 62/9 as a mixed number.

Answers

Answer:

62/9

Step-by-step explanation:

6 and 8/9ths. 9 goes into 62 six times, leaving you with 8 left over.

5 people are sharing 12 kilograms of apples. How many kilograms of apples should each person get?

Answers

Answer:

2.4 kilograms

Step-by-step explanation:

5 people=12 kilograms

1 person= 12 divided by 5

Therefore, 1 person=2.4 kilograms

PLS Help! SHOW WORK ON IT

Answers

Answer:

Perimeter of Triangle ABC is 21

Step-by-step explanation:

According to the Midpoint Theorem, if the line segment adjoins midpoints of any of the sides of a triangle, then the line segment is said to be parallel to all the remaining sides, and it measures about half of the remaining sides.

In this case, since XY=7, then AZ+ZC will need to equal 14 as that's opposite of half. Since AZ=ZC given that they are congruent, then AZ=7. Therefore the perimeter is XA+XZ+AZ=5+9+7=21

Which is not a terminating decimal? -3/9, 6/36, 12/28, 7/8

Answers

Answer: 12/28

Explanation: I got this right years ago my man.

7/8 is not a terminating decimal !!!

Which percent is represented by the diagram below? 2 area models with 100 squares. In the first model, 100 squares are shaded. In the second model, 25 squares are shaded and 75 are unshaded. 1.25% 12.5% 125% 1250%

Answers

Answer:

125%

Step-by-step explanation:

Answer:

C- 125

on edge

Step-by-step explanation:

A football team lost 2 yards every 5 minutes. Write the integer that represents how many yards the team lost after 15 minutes

Answers

Answer:

6 yards

Step-by-step explanation:

15mins/5mins = 3
hence, 2x3 = 6

Ballio has a reading goal. he checks three boxes of 9 books out from the library. after finish all the books, he realizes that he beat his goal by four books! how many books did Ballio have as his reading goal

Answers

The answer is 17 books

On the first circle, what segment is a diameter? How long is it?

Answers

Answer:

The segment that is the diameter is EB

It is 8 cm long

Step-by-step explanation:

if the graph of an exponential function is increasing is the domain always all real numbers

Answers

Answer:

D) The domain of the function is all real numbers

Step-by-step explanation:

evaluate the expression for x = 3 y= 1/3 and z= 5. 12 x - 3y over 4 x - Z​

Answers

Answer:

35.786

12(3) - 3(1/2)/4(3) - 5

This is then further simplified to:

36 - 1.5/7

And when you divide 1.5 by 7, the number (rounded) is .214.

Thus, subtract, and gain the final answer of 35.786.

Hope this helps!

Step-by-step explanation:

Can you please mark me brainliest

Hey there!

12x - 3y / 4x - z

= 12(3) - 3(1/3) / 4(3) - 5

= 36 - 1 / 12 - 5

= 35 / 7

= 5


Therefore, your answer is: 5


Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

HELP
Describe any similarities or differences in the following equations: y = 4x and y = -4x -3

Answers

Answer:

Step-by-step explanation:

y = 4x is proportional and linear ( y = coffienient(x) )

y = -4x - 3 is not proportional because it has a costant ( -3 )

They are both an equation, they have a coffienient, and a value like (x)

9514 1404 393

Answer:

the lines have opposite slopeseach is a mirror of the other in the line y = -1.5the point (-3/8, -3/2) is common to both lines

Step-by-step explanation:

The slope of the first line is 4; the slope of the second line is -4, so the slopes are opposites of each other. (The lines are not perpendicular.)

The y-intercept of the first line is 0; that of the second line is -3, so they cross the y-axis in different places.

Since the slopes are opposites of each other, one line is a reflection of the other about the horizontal line through the point where the lines meet. That point is ...

  4x = -4x -3

  8x = -3

  x = -3/8

  y = 4x = -3/2

The point of intersection (common to both lines) is (-3/8, -3/2).

Solve 4X squared minus X -5 equals zero

Answers

your answer should be 1/3 if I did my math right

HELP ME PLEASE geometry only answer if you know please!

Answers

Answer:

2. Reason: Addition Property of Equality

3. Statement: 3x=18

4. Reason: Division property of Equality

5. Statement: x=6 Reason: Simplifying.

Step-by-step explanation:

I'm pretty sure this is correct.  

Which inequality is equivalent to -y> 18

Answers

Answer:

you forgot to add the options.

Step-by-step explanation:

Answer:

y≤−18

Step-by-step explanation:

Determine the value of y, if x = -3.
y = |x + |1|

Answers

Answer:

Step-by-step explanation:

, if x = -3.

y = |x + |1|

So value of Y is

Y=|-3|+|1|

Y=3+1

Y=4

Answer is 4

Answer:

[tex]y = 4[/tex]

Step-by-step explanation:

[tex]y = |x + |1|\\[/tex]

| | = absolute value (how far it is from 0)

[tex]y = |-3 + |1|\\\\\\|-3| =3\\\\|3 +1| =3 + 1 \\3 + 1= 4\\[/tex]

[tex]\LARGE\boxed {y = 4}[/tex]

Let me know if you have any other questions or concerns!

~[tex]InLoveWithPugs[/tex]

[tex]Moderator\\Math\ Enthusiast[/tex]

Write the given equation in the form of an equation of a sphere and find its center and radius.
x2 + y2 + z2 = 12x + 2y
equation =

center (x, y, z) =

radius =

Answers

Complete whatever squares you can:

x² - 12x = x² - 12x + 36 - 36 = (x - 6)² - 36

y² - 2y = y² - 2y + 1 - 1 = (y - 1)² - 1

So rewrite the equation as

x² + y² + z² = 12x + 2y

→   x² - 12x + y² - 2y + z² = 0

→   (x - 6)² - 36 + (y - 1)² - 1 + z² = 0

→   (x - 6)² + (y - 1)² + z² = 37

Then the center is (x, y, z) = (6, 1, 0), and its radius is √(37).

Answer:The radius is the square root of the constant term, z

Step-by-step explanation:

edge 2021

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME!!!!!!!I BEGGING YOUUUUUUUU
Solve each equation for the variable. Show every step in your work


1. 2(x+12)=20

2. -4x-2=10

Answers

Answer:

Answers are below :)

Step-by-step explanation:

Q1- Divide both sides by 2

       x +12 = 20/2

Simplify 20/2 to 10

x + 12 =10

Subtract 12 from  both sides

x = 10 - 12

Simplify 10 - 12 to -2

x = -2

Q2. Add 2 to both sides

-4x = 10 + 2

Simplify 10 + 2 to 12

-4x=12

Divide both sides by -4

x = -12/4

Simplify 12/4 to 3

x = -3

Answer:

1. x=-2

2. X=-3

Step-by-step explanation:

1. 2(X+12)

  2x+24=20

  2x= -4

  x= -2

2. -4x-2=10

   -4x=12

   x=-3

If x = 4 and y = 3, then xy – 2x = A 4 B 6 C 19 D 40​

Answers

Answer:

A) 4

Step-by-step explanation:

Plug in the value for x and y.

(4 x 3) - 2(4)

12 - 8 = 4

Simplify(-3)(-2)(-2) 1 point

Answers

Answer: -12

Step-by-step explanation:

First, multiply the numbers. -3 (-2) = 6 because a negative times a negative is a positive.

Then, multiply 6(-2) = -12 because a negative times a positive is a negative.

Therefore, the answer is -12.

What is the sum of -6 and 12/6

Answers

Answer:

-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

multiply -6 with 6 so we can have common denominator as 12/6

that's gives us -36/6+12/6

-36+12 is -24 so our answer up till now will be -24/6.... this can be simplified by 6 to get -4

pls mark this as brainliest!!!!

What is the value of 12 (2b-4) when b=16

Answers

Answer:

this is the answer

Step-by-step explanation:

[tex]12(2(16) - 4) =336 [/tex]

336

Step-by-step explanation:

12(2×16-4) =12(32-4)=12×28=336

At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?

its one hour but I don't know the minutes
Its not 5 min

Answers

Answer:

Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.

The minute hand rotates once around the clock every hour. It goes 360 degrees in 60 minutes, so it rotates 360/60 or 6 degrees per minute. The hour hand goes once around the clock every 12 hours. Because there are 60 minutes in an hour, it goes 360 degrees 12*60 or 720 minutes. This means it travels at a speed of 360/720 or 0.5 degrees per minute.

Once the clock starts, the minute hand goes ahead and rotates ahead of the hour hand. At 1:00, the minute hand is at 12, and the hour hand is ahead at 1. This is where we will start our calculations.

Now, we have a variable, m, which is the minutes that have passed since the clock started. So, our minute hand speed is 6m, and our hour hand speed is 0.5m. However, because the hour hand is at one, it is at 30 degrees. (360/12 * 1.) This means our equation is 6m = 0.5m+30.

Now, we calculate.

6m = 0.5m+30

5.5m = 30

m = 30/5.5

m = 5.45

So at 5.45 minutes, the minute hand is at the hour hand. However, because one hour has passed since we started, we have to add on one hour.

So, our final total is 1 hour 5 minutes and 27 seconds.

Step-by-step explanation:

The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounces and a standard deviation of 0.3 fluid ounce. A drink is randomly selected.

Required:
a. Find the probability that the drink is less than fluid ounces. ​
b. Find the probability that the drink is between and fluid ounces. ​
c. Find the probability that the drink is more than fluid ounces. Can this be considered an unusual​ event? Explain your reasoning.

Answers

Complete Question

The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounces and a standard deviation of 0.3 fluid ounce. A drink is randomly selected.

Required:

a) Find the probability that the drink is less than 11.9 fluid ounces

b) Find the probability that the drink is between 11.6 and 11.9 fluid ounces

c) Find the probability that the drink is more than 12.6 fluid ounces. Can this be considered an unusual​ event? Explain your reasoning.

Answer:

a

  [tex] P(X < 11.9 ) =  0.25239  [/tex ]  

b

  [tex]P(  11.6 < X < 11.9 ) =  0.20463 [/tex]

c

  [tex] P(X > 12.6 ) =  0.047757  [/tex ]  

Yes  It is an unusual event

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 12.1[/tex]

   The standard deviation is  [tex]\sigma =0.3[/tex]

Generally the probability that the drink is less than 11.9 fluid ounces is mathematically represented as

      P(X < 11.9 ) =  P(\frac{X -\mu}{\sigma } < \frac{11.9 - 12.1}{0.3} )

   [tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

      [tex] P(X < 11.9 ) =  P(Z< -0.667 ) [/tex ]

From the z table  the area under the normal curve to the left corresponding to -0.667  is

P(Z< -0.667 ) = 0.25239

So

[tex] P(X < 11.9 ) =  0.25239  [/tex ]  

Generally the  probability that the drink is between 11.6 and 11.9 fluid ounces is mathematically represented as

[tex] P(  11.6 < X < 11.9 ) =  P(  \frac{11.6 -12.1}{0.3} < \frac{X -\mu}{\sigma } < \frac{11.9 - 12.1}{0.3} ) [/tex]

   [tex]P(  11.6 < X < 11.9 ) =  P( -1.667 < Z < -0.667 ) [/tex]

=> [tex]P(  11.6 < X < 11.9 ) =  P( Z < -0.667) -  P ( Z < -1.667 ) [/tex]

From the z table  the area under the normal curve to the left corresponding to  -1.667  is

  P(Z< -1.667 ) = 0.047757

So

       [tex]P(  11.6 < X < 11.9 ) =  0.25239  - 0.047757 [/tex]

=>      [tex]P(  11.6 < X < 11.9 ) =  0.20463 [/tex]

Generally the probability that the drink is more than 12.6 fluid ounces is mathematically represented as

         P(X > 12.6 ) =  P(\frac{X -\mu}{\sigma } > \frac{12.6 - 12.1}{0.3} )

      [tex] P(X >12.6 ) =  P(Z> 1.667 ) [/tex ]

From the z table  the area under the normal curve to the right corresponding to 1.667  is

P(Z> 1.667 ) = 0.047757

So

[tex] P(X > 12.6 ) =  0.047757  [/tex ]        

Given that this probability is less than 0.05 , it mean it is an unusual​ event

Anne’s potato salad recipe requires one pound of potatoes for every four people served. How many pounds of potatoes will Anne need to serve 14 people at her picnic?

Answers

Answer:

4 lbs

Step-by-step explanation:

1:4=4:16

16 is bigger than 14

So 4 lbs

evaluate (distributive property)


9*6= ? sixes + 4 sixes

=30 + ?

=???

Answers

Answer:

Step-by-step explanation:

If A, B and C are integers, according to distributive property;

A(B+C) = AB+AB

A is distributed over B and C

Given

9×6 = 5 sixes +4 sixes

5 sixes = 5(6) =30

4 sixes = 4(6) =24

9×6 = 5(6)+4(6)

9×6 = 30+24

9×6 = 54

Hence ? =5,?? =24 ??? = 54

A quadrilateral has no pairs of parallel sides, what two shapes could it be?

Answers

Answer:

Kite

Step-by-step explanation:

Def of kite has no parallel sides

Answer:

Kite and Trapezium

Step-by-step explanation:

Each of them do not have any parallel lines or sides

PLS HELP MEEEEEE
Two babysitters have the following price schedules: Susan charges $5 per hour plus a $2 base fee. Sarah charges $7 per hour. Use graphing to find the point where the two
will charge the same amount.

Answers

at the first hour because 5 plus 2 equals 7 and 7 is the the charges sarah charges

Answer:

hhhhhhhhhhhhhhhhhhjhhhhhhhhh

Factor and find the zeros. z^2-z+56

Answers

Answer:

Sry its long but if your to lazy to look thru it here is the answer=   z = {-7, 8}

Step-by-step explanation:

Simplifying

z2 + -1z + -56 = 0

Reorder the terms:

-56 + -1z + z2 = 0

Solving:

-56 + -1z + z2 = 0

Solving for variable 'z'.

Factor a trinomial.

(-7 + -1z)(8 + -1z) = 0

Subproblem 1

Set the factor '(-7 + -1z)' equal to zero and attempt to solve:

Simplifying:

-7 + -1z = 0

Solving:

-7 + -1z = 0

Move all terms containing z to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + -1z = 0 + 7

Combine like terms: -7 + 7 = 0

0 + -1z = 0 + 7

-1z = 0 + 7

Combine like terms: 0 + 7 = 7

-1z = 7

Divide each side by '-1'.

z = -7

Simplifying:

z = -7

Subproblem 2

Set the factor '(8 + -1z)' equal to zero and attempt to solve:

Simplifying:

8 + -1z = 0

Solving:

8 + -1z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + -1z = 0 + -8

Combine like terms: 8 + -8 = 0

0 + -1z = 0 + -8

-1z = 0 + -8

Combine like terms: 0 + -8 = -8

-1z = -8

Divide each side by '-1'.

z = 8

Simplifying:

z = 8

Solution

z = {-7, 8}

Other Questions
what were the main features of hitler's concept of lebensroum? Give five points Should I shade with makeup or pencil for the cloud drawing? Two friends argue over who brushes their teeth more often. To settle the argument, they keep track of the number of mornings and nights they brush and calculate a probability. These are shown in the table. Greek philosophers taught that A.every person is importantB.all life is preciousC.individuals should seek power and wealthD.you should question everything in order to understand the world Mitochondria are found within: A) All prokaryotic cells B) A cell's plasma membrane C) A cell's nucleus D) Eukaryotic cells E) None of these answers are correct Why did Dunbar use "Negro Dialect" in his poetry? B) A travs de su criterio, describa las razones que pueden llevar a la humanidad a cometer estos crmenes tan atroces. en Formas de dominio y aniquilacin Espaola contra los aborgenes americanos What was the long term economic effects of the Punic Wars on Rome? This elementary problem begins to explore propagation delay and transmis- sion delay, two central concepts in data networking. Consider two hosts, A and B, connected by a single link of rate R bps. Suppose that the two hosts are separated by m meters, and suppose the propagation speed along the link is s meters/sec. Host A is to send a packet of size L bits to Host B a. Express the propagation delay, dprops in terms of m and s b. Determine the transmission time of the packet, drans, in terms of L and R. c. Ignoring processing and queuing delays, obtain an expression for the end- d. Suppose Host A begins to transmit the packet at time t = 0. At time t = dtrans' e. Suppose drop is greater than dran . At time t = d, ans, where is the first bit of f. Suppose dprop is less than dtrans. At time t = dtrans, where is the first bit of g. Suppose s = 2.5-108, L = 120 bits, and R = 56 kbps. Find the distance m so that dprop equals drans someone pls help and dont troll help me plsss, this is worth 30 points!! can someone pls help even if u can only give a few answers it would be helpful. A structure that looks the same and does the same job but was not present in a common ancestor is termed:______. its for science but its got math involvedits got to do with speed, time, and distance Which type oThe Sixth Amendment states that someone accused of a crime must go to trialf rights are fundamental and belong to all citizens? How can you apply the idea of "walk around in someone else's skin?" to your own life in a meaningful way?!!plzzz answer!! I NEED HELP PLEASE I WILL MARK!!!!!!! Solve these inequalities:7x-1 who is indirectly benefitted by the tax we have paid Will give Brainliest if answer right. Which sentence from the article would be MOST important to include in a summary of the article Newsela? A. The sting of a wasp can be painful to humans.B. That is, they occupy and live off a host insect, eventually killing it.C. There are fly parasitoids that decapitate (or take the heads off) fire ants.D. Shockley's favorite parasitoid might be the emerald wasp 4. Why are coral reefs only found in tropical water? *(1 Point)They need cold water with little sunThey need deep water and humid temperaturesThey require shallow waters where the sun can reach them