Dan buys a car for £2100.
It depreciates at a rate of 2.2% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer 1

Answer:

£1837.5

Step-by-step explanation:

Given data

Cost of car P=  £2100.

Rate r= 2.2%

Time t= 6 years

Now we want to find the  worth after 6 years, let us apply the compound interest expression but this time for depreciation

A= P(1-r)^t

Substitute

A= 2100(1-0.022)^6

A= 2100*(0.978)^6

A= 2100*0.875

A= £1837.5

Hence the amount of the car after 6 years is £1837.5


Related Questions

Research suggests improvements in human capital explains what percentage of the growth in U.S. Productivity from 1950 to the early 2000s?

Answers

Answer: 20%

Step-by-step explanation:

Human capital refers to the expertise that people gain as a result of working. This includes skills they gain from training and actually working. For instance, the skills a Brainly website designer gets from working on Brainly.

Research suggests that this human capital has led to about a 20% growth in U.S. productivity from the year 1950 to the year 2007 which means that it is a very significant factor in the growth of the country.

An operator in the plant receives a monthly salary. His rent, which is $849, takes up exactly 1/3 13 of his pay. What is his total pay per month?

Answers

Answer:

Below.

Step-by-step explanation:

(1/3)X = 849

x = 849*3 = 2547

The total pay per month of an operator is equal to $2547.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that an operator in the plant receives a monthly salary. His rent, which is $849, takes up exactly 1/3.

The total monthly salary will be calculated as,

(1/3)X = 849

X = 849 x 3

X= 2547

Therefore, the total pay per month of an operator is equal to $2547.

To know more about an expression follow

https://brainly.com/question/20912045

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Help needed over here

Answers

Answer:

(b) [tex]x \ge -3[/tex]

Step-by-step explanation:

Given

[tex]g(x) = \sqrt{x + 3}[/tex]

Required

The domain

For [tex]g(x) = \sqrt{x + 3}[/tex] to be defined, the following must be true

[tex]\sqrt{x + 3} \ge 0[/tex]

Square both sides

[tex]x + 3 \ge 0[/tex]

Subtract 3 from both sides

[tex]x \ge -3[/tex]

Hence, the domain is:

(b) [tex]x \ge -3[/tex]

which is represented by the table

Answers

Answer:

I think its is C


a.
Complete each sentence.
Point A is located at
The ordered pair (-2, 4) is located at

Answers

Point A is located at (1,-3)

The ordered pair (–2, 4) is located at T

The point A is located at (1,-3). The ordered pair (-2,4) is located at point T.

Coordinate geometry, also known as analytic geometry, is a branch of mathematics that combines algebraic techniques with the principles of geometry. It provides a way to represent and study geometric figures and their properties using algebraic equations and coordinates.

In coordinate geometry, points in a plane are represented by ordered pairs of numbers called coordinates. The most common coordinate system is the Cartesian coordinate system, which uses two perpendicular lines, the x-axis and the y-axis, to locate points.

The location of point A is at (1,-3) from the graph. The ordered pair (-2,4) is representing point T on the graph.

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Can anyone answer this I’m having trouble

Answers

Answer:

[tex]{ \bf{0.35{ \bar{2}}}} = { \bf{0.352222222....}} \\ = \frac{317}{900} [/tex]

317 over 900 for sure is right

series calcular s=1+2+3+....+86

Answers

Answer:

S = 3741

Step-by-step explanation:

Here, we want to calculate the sum of the first 86 numbers (starting from 1)

Mathematically, we can use the formula;

Sn = n/2[ a + L]

Where n is the number of terms (86 here)

a is the first term which is 1 and L is the last term which is 86

So, we have the sum as;

Sn = 86/2(1 + 86) = 43 * 87 = 3741

What is the solution to the equation below. Round your answer to two
decimal places
In x= 3.1

Answers

The solution to the equation below rounded to 2 decimal places is 22.20.

How to simplify logarithmic equations?

Given the logarithmic expressions

ln x = 3.1

We are to determine the value of "x"

ln x = 3.1

Take the exponent of both sides

e^ln x = e^3.1

The exponent will cancel out the log function to have:

x = e^3.1

x = 22.197

Hence the solution to the equation below rounded to 2 decimal places is 22.20.

Learn more on log function here: https://brainly.com/question/1695836

a 10 foot ladder rests against a vertical wall if the bottom of the ladder slides away from the wall at a speed of 2 ft/s how fast is the angle betwween the top of the ladder and the wall changing when that angle is

Answers

Answer:

d∅/dt = √2/5 Rad/sec

Step-by-step explanation:

According to the Question,

Given That, a 10-foot ladder rests against a vertical wall if the bottom of the ladder slides away from the wall at a speed of 2 ft/s how fast is the angle between the top of the ladder and the wall changing when that angle is π/4.

Solution,

Let x be the Distance between the base of the wall and the bottom of the ladder.

and let ∅ be the angle between the top of the ladder and the wall.

Then, Sin∅ =x/10  so, x=sin∅ *10

Differentiating with respect to time t we get,

dx/dt = 10 * cos∅ * d∅ /dt

We have given that dx/dt = 2 ft/s and ∅ =π/4

Now, Put these value we get

2 = 10 *(cos(π/4))* d∅/dt

2 = 10/√2 * d∅/dt

d∅/dt = √2/5 Rad/sec

someone help me with my algebra homework please

Answers

Answer:

D.

Step-by-step explanation:

x = number of glasses of iced tea

y = number of glasses of lemonade

The total number of glasses is

x + y

The total number of glasses is 44

x + y = 44

This is not a choice, but the answer must be equivalent to this equation.

Solve for x by subtracting y from both sides.

x = 44 - y

Answer: D.

Given f(x) = x^3 - 9x and g(x) = x^2, choose
the expression for (fºg)(x).

Answers

Answer and Step-by-step explanation:

We are given two functions, f and g. We are asked to find the value of f evaluated at g(x).

Here, we need to plug in every value of x in f(x) with the value of g(x).

f(g(x)) = [tex](x^2)^3-9(x^2)[/tex]

An exponent raised by an exponent results in the exponents multiplying together.

f(g(x)) = [tex]x^6 - 9x^2[/tex]   <- This is the final answer.

I hope this helps!

#teamseas #PAW (Plant And Water)

Simplify the expression. x^4/ x^7
a x-11
b x-3
c x11
b x3

Answers

Answer:

b

Step-by-step explanation:

[tex]\frac{x^4}{x^7} =x^4 \times x^{-7} =x^{4-7} =x^{-3}[/tex]

Abraham set the table for a picnic using round plates. Each plate has a diameter of 8 inches. What is the area of each plate?

Answers

Answer:

50.265

Step-by-step explanation:

Area is radius square times pi. Radius is half of diameter .Diameter is 8 inches. Radius is 4 inches. 4 squared is 16. 16 times pi is 50.265

4a {3а2а +4)- 34 2а- 5) a[3а" (а)
How do I simplify this

Answers

Answer:

Simplify the expression.

36a to the power of 7 then - 156a to the power of 4 then -15a to the power of3

How would the expression x2 -9 be rewritten using Difference of Squares?

Answers

Answer:

(x + 3) (x - 3)

Step-by-step explanation:

[tex]a^{2} -b^2=(a+b)(a-b)[/tex] where a = x and b = 3

x^2 - 3^2 =

x^2 - 9 =

(x + 3)

(x - 3)

Answer:

Step-by-step explanation:

x²-9=x²-3²

Simplify the expression by combining like
terms:
2b + 7b2 - 2 + 3b - 1 + b

Answers

Answer:

[tex]7b^2+6b-3[/tex]

Step-by-step explanation:

Given:

[tex]2b+7b^2-2+3b-1+b[/tex]

Combine like terms.

[tex]7b^2+6b-3[/tex]

Hope this helps.

Which graph represents a function?

Answers

Answer:

Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

find missing side of triangle

Answers

Answer:

[tex]{ \bf{x = \sqrt{ {12}^{2} - { \sqrt{122} }^{2} } }} \\ x = \sqrt{22} \: in[/tex]

a rectangle consists of two identical squares with a common side. The perimeter of the rectangle is 27 inches. Find its area

Answers

Answer:

40.5 square inches

Step-by-step explanation:

Rectangle consists of two identical squares.

So, if the sides of square = x,

Then,  Width of rectangle = x     &

Length of rectangle = x +x = 2x

Perimeter of rectangle = 27 inches

2*(length + width) = 27

2*( 2x + x) = 27    {Combine like terms]

2* 3x = 27

    6x= 27           {Divide both sides by 6}

       x = 27/6

x = 4.5

Width = x = 4.5 inches

Length = 2x = 2*4.5 = 9 inches

Area of rectangle = length *width

                             = 4.5 *9

                             = 40.5  square inches

Answer:

40.5

Step-by-step explanation:

Verify that cos squared A plus Sin squared A is equal to 1 if A is equal to 90 degrees

Answers

Answer:

see explanation

Step-by-step explanation:

To verify cos²A + sin²A = 1 with A = 90° , then

cos²90° + sin²90°

= (0)² + (1)²

= 0 + 1

= 1

Convert 6 centimeters per second to miles per hour.
0.13 mph
7.87 mph
0.07 mph
5.87 mph

Answers

Answer:

A, 0.13 mph.

Step-by-step explanation:

To get that, divide the cm/sec by 44.704.

6/44.704 ≈ 0.13

Which of the following expressions is equivalent to the one shown below? (3/2)8 A 3^8/2^8 B 3^8/2 C 3/2^8 D 8•(3/2)

Answers

Answer:

Step-by-step explanation:

(-2x+1) (2x^2-1/3x+2)

Answers

Answer:

JHJHJHJHUJ3480945768

658768

Step-by-step explanation:

684867765543545

Ans x = 0.5

Step-by-step explanation:

[tex]= -4x^{3} + 2x^{2} +\frac{2}{3}x^{2} -\frac{1}{3}x-4x+2\\= -4x^{3}+\frac{8}{3}x^{2} -\frac{13}{3}x+2\\[/tex]

If the equation requires to find x, you can use Casio calculator to solve this by some basic formula:

Step 1: Type [tex]-4x^{3}+\frac{8}{3}x^{2} -\frac{13}{3}x+2[/tex]

Step 2: Press Shift SOLVE (CALC)

Step 3: Press "0" for Solve for X

-> You will find the x is 0.5

Anelle is in charge of bringing in dry erase markers for everyone in her math group to use to work on a project. She brings 3 markers for each person in her group and 5 extra markers for everyone to share. If Janelle brings in 23 markers in all, which equation represents the information?

Answers

Answer:

3x + 5 = 23

Step-by-step explanation:

Let x represents the number of persons in her group.

Since she brings 3 markers for each person, then number of markers brought for persons in her group = 3x.

She brings 5 extra markers for each person to share.

Thus, total markers she brought is now;

3x + 5

She brought 23 markers in all.

Thus, equation that represents the information is;

3x + 5 = 23

By how much does the price of a ticket for the gold section exceed the price for a ticket for the silver section?

Answers

Answer:

$8

Step-by-step explanation:

This system of equations relates the ticket price, in dollars, for seats in the silver (x) and gold (y) sections at a rock concert. x + 2y = 82 3x + y = 96 By how much does the price of a ticket for the gold section exceed the price for a ticket for the silver section?

Two equations are presented in this question

x + 2y = 82   equation 1

3x + y = 96     equation  2

Multiply equation 1 by 3

3x + 6y = 246 equation 3

subtract equation 2 from 3

5y = 150

y = 30

Substitute for y in equation 1

x + 2(30) = 82

x = 82 - 60

x = 22

difference in price = 30 - 22 = $8

x =

10 points 2 questions best one get brainliest

Answers

Answer:

9a. GCF: 16. LCM: 960

9b. GCF: 55. LCM: 275

9c. GCF: 24. LCM: 114

9d. GCF: 40. LCM: 600

10a. GCF: 120. LCM: 1440

10b. 10, 2, 5, 20

10c. 2880, 4320, 5760, 7200


Ion kno this help pls?????????????

Answers

Answer:

[tex]2 {x}^{2} - x - 1 \\ 2 {x}^{2} - (2 - 1)x - 1 \\ 2 {x}^{2} + 2x - 1x - 1 \\ 2x(x + 1) - 1(x + 1) \\ (2x - 1)(x + 1)[/tex]

Clare has $150 in her bank account, She buys a bike for $200 whatsis Clare's balance now



Answer pls

Answers

Answer:

-50

Step-by-step explanation:

Answer: -$50/ Negative $50

Explanation: This question is asking you to subtract the price of the bike from the initial balance. To find the new balance, subtract 200 from 150. Once subtracted, 150-200= -50. This is the new balance!

Hope this helps! Comment below for more questions.

Suppose that partners equally share the profits from a sale of $3,800. Which algebraic expression represents this
situation?
0360040
0 3600-
36000
3800 -
р
HURRRYY IM ALMOST OUT OF TIME SMB HELP!

Answers

Answer:

3600 / p

Step-by-step explanation:

The partners share the company equally so it would be 3600 / p because each person would get an equal share.

If there were 2 partners, each would get 1800.

If there were 4 partners each would get 900.

It makes it so each partner gets and equal amount with this equation

if f(1) = 2 – 2 anid 9(37)
and g(x) = x2 – 9, what is the domain of g(x) = f(x)?

Answers

Answer:

B

Step-by-step explanation:

Let divide g(x) by f(x)

[tex] \frac{ {x}^{2} - 9 }{2 - x {}^{ \frac{1}{2} } } [/tex]

The domain of a rational function cannot equal zero so let set the bottom function to zero.

[tex]2 - x {}^{ \frac{1}{2} } = 0[/tex]

[tex]x {}^{ \frac{1}{2} } = 2[/tex]

Square both sides

[tex]x = 4[/tex]

Also we can simplify the bottom denomiator into a square root function

[tex]2 - \sqrt{x} [/tex]

The domain of a square root function is all real number greater than or equal to zero because a square root of a negative number isn't graphable.

So we must find a answer that

Disincludes 4 from the intervalDoesnt range in the negative number or infinity)Range out in positve infinityThe answer to that is B

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