Nick bought a new car.
each year the car depreciates in value by 12%.
work out the number of years it takes for the car to half in value.
?

Answers

Answer 1

After 5.4 years, the value of the car will be half the initial value.

How many years take for the car to be half in value?

We know that the value decreases by 12% each year.

Then the value of the car can be modeled with an exponential decay, written as:

[tex]V(t) = A*(1 - 12 \% /100 \%)^t = A*(1 - 0.12)^t = A*(0.88)^t[/tex]

Where A is the initial value, and t is the number of years.

The value will be halved when:

[tex](0.88)^t = 0.5[/tex]

We need to solve that, to do it, we can apply the natural logarithm to both sides, so we get:

[tex]Ln(0.88^t) = Ln(0.5)\\\\t*Ln(0.88) = Ln(0.5)\\\\t = Ln(0.5)/Ln(0.88) = 5.4[/tex]

This means that after 5.4 years, the value of the car will be half the initial value.

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Related Questions

Drag each tile to the correct box. arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the function that eventually has the greatest value. 3x 8 4x 3 x2 6 3x 4x x2 ↓ ↓ ↓ ↓ ↓

Answers

The functions in ascending orders are:

1. 3x

2. 3x + 8

3. x^2

4. x^2 + 6

5. 4^x

6. 4^x + 3

What is a function?

A function is known to be that relation that is said to exist between a set of numbers that is known to be having one output each.

Note that in the above such as 3x, 3x + 8, the  functions in ascending orders as it start with the function that has it least value.

Learn more about function  from

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How many pencils did kyle purchase?

Answers

Answer:

he purchased 12 pencils

Step-by-step explanation:

1.24x12=14.88

14.88-20= 5.12

also this kid i knew has the same pfp

how many cups are there in 2.5 pt

Answers

Answer:

Approximately 6 cups

Step-by-step explanation:

One pint is equal to 2.402 cups. Multiplied by 2.5, that gives you 6.00475. The final answer (6 cups) is rounded.

What point can be found by taking the average of the endpoints of a line
segment?
O A. Endpoint
O B. Vertex
O C. Midpoint
O D. Center

Answers

Step-by-step explanation:

C. Midpoint

The average is the distance of the line divided by 2

A phone case comes in 8 different colors, and you can also pick from 10 different patterns. If you can only pick one of each, how many different phone cases can there be

Answers

Answer:

80

Step-by-step explanation:

8 different colors multiplied by 10 different patterns

CAN SOMEONE PLS HELP ME

Answers

Answer:

no i cannot help you

Step-by-step explanation:

thats good

PLEASE ANSWER 50 POINTS!!
what is [4^2+(5+3x4)]x3=

Answers

Answer:

[( 4² + 5 + 3 × 4 )] × 3

= ( 4 × 4 ) + 5 + 3 × 4 × 3

= 16 + 5 + ( 3 × 4 × 3 )

= 16 + 5 + ( 12 × 3 )

= 16 + 5 + 36

= 21 + 36

= 57

Answer:

99

Step-by-step explanation:

pemdas states:

PARENTHESIS

EXPONENTS

MULTIPLICATION/DIVISION (left to right)

ADDITION/SUBTRACTION (left to right)

the first equation you would do is 3*4 as it is in the most inner parenthesis and is a multiplication equation

3*4 = 12

then add 12 to 5

12 * 5 = 17

(4^2 + 17) * 3 is what you have left

the next thing you do is the exponent

4^2 is 4*4 or 16

then add 16 to 17

16 + 17 = 33

then at the end

you multiply it by 3

33 * 3 = 99

your answer is 99

(03.03 LC) look at points C and D on the graph:
What is the distance in units between points c and d? Round your answer to to nearest hundredth

Answers

3.97, 1 - .03 = .97 , .97 + 3 = 3.97

( i will give brainlist ) What is the equation of the following graph?

Answers

Answer:

y= ⅓x +2

Step-by-step explanation:

Since the graph is a linear graph, let's use the slope-intercept form to find its equation.

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

The y-intercept is the point at which the graph cuts through the y-axis. In this case, the y-intercept is 2.

Thus, y= mx +2.

Let's find the slope of the graph.

First, identify 2 pairs of coordinates from the graph:

(0, 2) and (3, 3)

Next, substitute these coordinates into the slope formula below:

[tex]\boxed{ \text{slope} = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

slope

[tex] = \frac{3 - 2}{3 - 0} [/tex]

[tex] = \frac{1}{3} [/tex]

Thus, the equation of the graph is y= ⅓x +2.

five numbers have a mean of 3. four of the numbers are 7,5,2,-4. what is the 5th number?​

Answers

Answer:   The fifth number is 5

Step-by-step explanation:

pls answer the question i am mark in brainlist​

Answers

Answer:

x = -2

Step-by-step explanation:

Given: [tex]\textsf{$\dfrac{x+3}{x+4}=\dfrac{x+5}{x+8}$}[/tex]

1. Cross-multiply

(x + 3)(x + 8) = (x + 5)(x + 4)

2. Distribute

⟹ (x + 3)(x + 8) = (x + 5)(x + 4)

⟹ x(x) + x(8) + 3(x) + 3(8) = x(x) + x(4) + 5(x) + 5(4)

⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20

3. Combine like terms

⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20

⟹ x² + 11x + 24 = x² + 9x + 20

4. Subtract x² from both sides

⟹ x² - x² + 11x + 24 = x² - x²  + 9x + 20

⟹ 11x + 24 = 9x + 20

5. Subtract 24 from both sides

⟹ 11x + 24 - 24 = 9x + 20 - 24

⟹ 11x = 9x - 4

6. Subtract 9x from both sides

⟹ 11x = 9x - 4

⟹ 11x - 9x = 9x - 9x - 4

⟹ 2x = -4

7. Divide both sides by 2 to isolate the variable

⟹ 2x ÷ 2 = -4 ÷ 2

x = -2

A rectangular room is 12 1/2 feet long and 10 1/3 feet wide. What is the area of the room?

Answers

Answer: 20

Step-by-step explanation: 12 1/2x10 1/3=20

What is the measure of "?"

Answers

Answer:

60

Step-by-step explanation:

Can someone help me with this?

Answers

Answer:

s = 3, j = 14

Step-by-step explanation:

The full perimeter is 35.

The given sides we have are 7, 2, 4, 5, and the two missing ones.  We will call the two missing ones j and s. (according to your drawing.)

-

The side with the number 7 on it is equal to the side with the number 4 and s.

Can you see that?  Even if it's not a direct side, it is under it. (if you can't see that comment below.)

-

Now since we know that we can make an equation:

7=4+s

Subtract 4 on both sides.

3=s.

We now have the length of s, which is 3.

-

Since we now know what s is, we can add them all up once more.

3+5+7+2+4=21

You said the full perimeter is 35.  This means j has to be 35-21, which is 14.

-

This drawing is not drawn to scale, I assume you are drawing this for practice.

-

Good luck on your test!

convert 221 quinary number into decimal number.​

Answers

Step-by-step explanation:

______________________

( First of all to convert quinary to decimal we need to multiply them by 5 )

So let's solve now.....

= 221

Solution,

Converting quinary number to decimal .....

= 2 × 5² + 2 × 5¹ + 1 × 5⁰

The value of any number to the power 0 is 1 ...

= 2 × 25 + 2 × 5 + 1 × 1

= 50 + 10 + 1

= 61..

______________________

Hence the answer is 61....

______________________

The surface area of a cone is square units. the height of the cone is times greater than the radius. what is the length of the radius of the cone to the nearest foot? the radius is about feet.

Answers

The radius of the cone is 7 feet

How to determine the radius?

The given parameters are:

Surface Area, A = 216π

h = 8/3r

The surface area of a cone is:

[tex]A = \pi r(r + \sqrt{h^2 + r^2})[/tex]

So, we have:

[tex]216\pi = \pi r(r + \sqrt{(8/3r)^2 + r^2})[/tex]

Factor out r

[tex]216\pi = \pi r(r + r\sqrt{(8/3)^2 + 1})[/tex]

Evaluate the exponent

[tex]216\pi = \pi r(r + r * 2.85)[/tex]

Evaluate the sum

[tex]216\pi = \pi r(3.85r)[/tex]

Divide both sides by pi

[tex]216 = 3.85r^2[/tex]

Divide both sides by 3.85

[tex]56.10 = r^2[/tex]

Take the square roots of both sides

r = 7 (approximately)

Hence, the radius of the cone is 7 feet

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Answer:

The radius is about 9 feet.

Hope this helps!

Step-by-step explanation:

HELP PLEASE ILL GIVE BRAINLEST

Answers

Answer:

y= 40 degree

Step-by-step explanation:

ACD+CDA+DAC= 180 degree

y+ 90+30+20= 180 degree

y+140 = 180

y= 180- 140 degree

y= 40 degree

Hope it helps you :)))))

have a good day

The patel family went to a festival. the family is made up of 2 adults and 3 children. admission to the festival is $22.00 for adults and $15.00 for children. how much did the family spend to enter the festival? the family spent $ .00 to enter the festival. please help d:

Answers

Answer:$89.00

Step-by-step explanation:22 times 2 is 44.

15 times 3 is 45.

44 plus 45 is 89

Answer:

$89.00

Step-by-step explanation:

2 adults = $22 x 2 = $44

3 children = $15 x 3 = $45

$44 + $45 = $89.00

Hope this helps!

HELP PLEASE!!
5⁸/5³=

a. 5^-5
b. 1¹¹
c. 5⁵
d. 5 ¹¹​

Answers

I think c if it’s not right lmk

Answer:

C

Step-by-step explanation:

[tex] \frac{ {5}^{8} }{ {5}^{3} } \\ [/tex]

Now you may reduce the fraction

[tex] = {5}^{5} [/tex]

Nguyen makes two slices through a three-dimensional object. One plane is parallel to the base; the cross-section is a square. The other plane is perpendicular to the base; the cross-section is a triangle. What three-dimensional shape did Nguyen cut?

Answers

Answer:

the answer to your question is pyramid

Find the remainder of 2338when divided by 55. b) What is the inverse of 23 modulo 55 i.e. which number a has the property that 23*a has the remainder 1 when divided by 55?

Answers

a) 2338 ≡ 42 • 55 + 28 ≡ 28 (mod 55)

b) We want to find a such that

23a ≡ 1 (mod 55)

Use the Euclidean algorithm:

55 = 2 • 23 + 9

23 = 2 • 9 + 4

9 = 2 • 4 + 1

⇒   1 = 9 - 2 • 4

⇒   1 = 9 - 2 • (23 - 2 • 9) = 5 • 9 - 2 • 23

⇒   1 = 5 • (55 - 2 • 23) - 2 • 23 = 5 • 55 - 12 • 23

Solve for a :

5 • 55 - 12 • 23 ≡ 1 (mod 55)

⇒   -12 • 23 ≡ 1 (mod 55)

⇒   a ≡ -12 ≡ 43 (mod 55)

Sam walks 100 m north and then 100 m east. How far is she from her starting position? Give your answer to a sensible degree of accuracy.

Answers

Answer- 200m

: Right now Sam is 200m far from her starting point

Multiply.
(2y+5) (5y + 7)
Simplify your answer

Answers

Answer: I think it might be 10y

2

+39y+35

Step-by-step explanation: Apply the distributive property by multiplying each term of 2y+5 by each term of 5y+7. Then, Combine 14y and 25y to get 39y.

hope this helps!

♥ Chen was here

Answer:

10y^2 + 39y +35

Step-by-step explanation:

First distribute (2y+5)(5y+7)-

2y(5y + 7 )+ 5(5y + 7) This turns into:

10y^2 + 14y + 25y +35

Now combine the like terms (14y+25y)

You should get 10y^2 + 39y + 35 which is your final answer. :)

A box of chocolates contains 10 milk chocolates, 8 dark chocolates and 6 white chocolates. Sung randomly chooses a chocolate, eats it, then randomly chooses another. What is the probability Sung chose a milk chololate then a white chocolate

Answers

Using it's concept, it is found that there is a 0.1087 = 10.87% probability Sung chose a milk chocolate then a white chocolate.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Initially, there are 10 + 8 + 6 = 24 chocolates, out of which 10 are milk, hence the probability of eating a milk chocolate first is given by: [tex]\frac{10}{24} = \frac{5}{12}[/tex].Then, there will be 23 chocolates, out of which 6 will be white, hence the probability of eating a white chocolate first is given by: [tex]\frac{6}{23}[/tex].

Thus, the probability of milk then white is given by:

[tex]p = \frac{5}{12} \times \frac{6}{23} = \frac{30}{12 \times 23} = 0.1087[/tex]

0.1087 = 10.87% probability Sung chose a milk chocolate then a white chocolate.

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The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

Answers

Length be x

width be x-5

So

Area=Length×Breadth

x(x-5)=750

Or

If x turned y

y(y-5)=750750-y(y-5)=0

Option C

Option A can be true as per commutatI've property

y²-5y=750

Option B is true

Answer:

y² - 5y = 750

750 - y(y - 5) = 0

(y + 25)(y - 30) = 0

Step-by-step explanation:

Formula

Area of a rectangle = length × width

Given:

y = length of the room(y - 5) = width of the room750 ft² = area of the room

Substituting the given values into the formula and rearranging in different way:

Equation 1

⇒ 750 = y(y - 5)

⇒ y(y - 5) = 750

⇒ y² - 5y = 750

Equation 2

⇒ 750 = y(y - 5)

⇒ 750 - y(y - 5) = 0

Equation 3

⇒ 750 = y(y - 5)

⇒ y(y - 5) - 750 = 0

⇒ y² - 5y - 750 = 0

⇒ y² - 30y + 25y - 750 = 0

⇒ y(y - 30) + 25(y - 30) = 0

⇒ (y + 25)(y - 30) = 0

Identify the CENTER: (x+3)^2 + (y-2)^2 = 64 *
(3,-2)
(9,4)
(-3,2)
8

Answers

Answer:

centre = (- 3, 2 )

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius )

(x + 3)² + (y - 2)² = 64 ← is in standard form

with centre (- 3, 2 )

So, I'm trying to solve this question but I can't quite jog my mind, A little help here maybe > Forest City has ordered 36 maple trees and 54 dogwood trees to be planted in groups in a city park. Each group will have the same number of maple trees and dogwood trees.

Answers

By finding common factors, we conclude that we can divide the trees in 6 or in 9 parts, but not in 8.

Can the trees be planted in 6, 8, or 9 parts?

We know that each of these parts needs to have the same number of each type of trees.

So we need to see if 6, 8, or 9, are common factors between 36 and 54.

First:

6*6 = 36

9*4 = 36

So 9 and 6 are factors of 36.

And 9*6 = 54

So 9 and 6 are factors of 54.

(8 is not a factor of neither)

So 9 and 6 are common factors between 36 and 54.

Then we can divide the trees in 6 or in 9 parts, but not in 8.

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5 Air bags in a car 'explode' at 340 km/h.
a Convert this to metres per second.
b How long would the air bag take to move 10 cm?
Give your answer to the nearest thousandth of a second.​

Answers

Answer:

a. 94.444 m/s

b. 0.001 s

Step-by-step explanation:

We know that:1 km = 1000 m & 1 h = 3600s

#a

Explosion speed of air bag = 340 km/h

-> Explosion speed of air bag [tex]= 340\times \frac{1000\: m}{3600 \:s}[/tex]

-> Explosion speed of air bag [tex]= 94.444\: m/s[/tex]

#b

Speed = 94.444 m/s = 9444.4 cm/sDistance = 10 cmFormula relating time speed and distance is given as:

[tex] Time =\frac{distance}{speed}[/tex]

[tex]\implies Time =\frac{10}{9444.4}[/tex]

[tex]\implies Time =0.00105882851 \: s[/tex]

[tex]\implies Time \approx 0.001\: s[/tex]

Evaluate 8 7/8 + (7 5/6−2 1/3)

Answers

Answer:

14.375 Or 115/8

Step-by-step explanation:

since 8 7/8 = 71/8 and 7 5/6 = 47/6 and 2 1/3 = 7/3

then 71/8 + ( 47/6 - 7/3) = 115/8

I SWEAR IF YOU HELP ME ILL FRL LOVE YOU FOR FREAKING EVERRR

Answers

because were dealing with a right angle, both the angle of m1 and m2 two together should equal 90 degrees! therefore set up the equation as 8x + x - 9 = 90

we can simplify it to 9x = 99 (adding the x’s and adding the 9 to both sides)

so x = 11

great! now lets solve for the angles by plugging it in.

8(11) = 88 (m1)

(11)-9 = 2 (m2)

hope this helps!
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