Sarah buys a car for £23,000.
It depreciates at a rate of 3% per year.
How many years will it take to be worth less than £20,000?

Answers

Answer 1

Answer:

4.61 years

Step-by-step explanation:

hope it helped!


Related Questions

if p(x) = 3(x^2-2)+12 what is the value of p(10)?​

Answers

Answer:

p(10) = 306

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

p(x) = 3(x² - 2) + 12

p(10) is x = 10 for function p(x)

Step 2: Evaluate

Substitute in x [Function p(x)]:                                                                         p(10) = 3(10² - 2) + 12(Parenthesis) Evaluate exponents:                                                                  p(10) = 3(100 - 2) + 12(Parenthesis) Subtract:                                                                                      p(10) = 3(98) + 12Multiply:                                                                                                             p(10) = 294 + 12Add:                                                                                                                   p(10) = 306

s the following relation a function?


x y
−1 −2
2 3
3 1
6 −2

Answers

Answer:

can u plz rewrite the question

Dr. Johnny Smith is looking up from camp at an angle of elevation of 27
degrees to the top of a Red Wood Tree. The tree is 85 feet tall. What is
the distance from the bottom of the tree to the camp?

Answers

Answer:

166.8 feet

Step-by-step explanation:

tan = opp/adj

opp = height of tree

adj = distance

tan27 = 85/distance

distance = 85/tan27

use calculator

distance = 166.821892967937799

166.8 feet

75 mm
a
60 mm
What is the length of the missing leg?

Answers

Answer:

a = 45 millimeters

Step-by-step explanation:

In order to solve this, we need to know that for right-angled triangles the following is true:

[tex]c^{2} = a^{2} + b^{2}[/tex] (where c is the hypotenuse and "a" and "b" are the legs)

From the formula above we can conlude that...

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

Now we just substitute the variable that we know and get that...

[tex]a = \sqrt{c^{2} - b^{2} }\\a = \sqrt{75^{2} - 60^{2} } \\a = \sqrt{5,625 - 3600} \\a = \sqrt{2025} \\a = 45[/tex]

Therefore a = 45millimeters.

Solve for x

-5x = -10

O x= -2
O x = 50
O x= 2​

Answers

X=2 - hope it helps

Answer:

x = -2

When we multiply a negative number with a positive number the answer is always negative.

Hope it helps:)

The height of a cuboid is45mm ,the end face is a square.The volumeof the cuboid is 162cm^3.Calculate the surface area

Answers

Answer: [tex]180\ cm^2[/tex]

Step-by-step explanation:

Given

Height of a cuboid [tex]h=45\ mm[/tex]

Volume of the cuboid is [tex]V=162\ cm^3[/tex]

End faces are square. So, assume its length to be x

[tex]\therefore x^2\times h=162\\\Rightarrow x^2\times 4.5=162\\\Rightarrow x^2=36\\\Rightarrow x=6\ cm[/tex]

Surface area of cuboid

[tex]\Rightarrow 2(lb+bh+hl)=2(6\times 6+6\times 4.5+4.5\times 6)\\\Rightarrow 2(36+27+27)\\\Rightarrow 180\ cm^2[/tex]

what is the result of isolating y^2 in the equation below (x+6)^2+y^2=1​

Answers

Answer:

(x+6)^2 + y^2 = 1 then isolate y^2  by subtracting (x +6)^2 from both sides, we get

               

                y^2 = 1 - (x + 6)^2

expanding the right side, we now have

                y^2 = 1-(x^2 + 12x +36)

          y^2 = 1-x^2-12x -36

          y^2 = -x^2 -12x - 35  therefore the solution is  choice A

Step-by-step explanation:

The following sequence has first five terms as: -20, -17, -14, -11, -8, .......... Find an expression for the nth term of the sequence

Answers

Answer:

a(n) = -20 + 3(n - 1)

Step-by-step explanation:

a(n) = -20 + 3(n - 1)

Need help with operations with polynomials!!!!

Answers

Answer:

Step-by-step explanation:

Help pleasee
Qn is attached belowww
PLEASE HELPP

Answers

Answer:

QR = 65.4 m

Step-by-step explanation:

a. Apply Law of Cosines to find QR:

p² = q² + r² - 2qr × Cos P

p = QR = ?

q = PR = 150 m

r = PQ = 120 m

P = 25°

Plug in the values

p² = 150² + 120² - (2)(150)(120) × Cos(25°)

p² = 22,500 + 14,400 - 36,000 × 0.9063

p² = 36,900 - 32,626.8

p² = 4,273.2

p = √4,273.2

p ≈ 65.4 m (nearest tenth)

QR = 65.4 m

What is the value of Y when the value of X is one?

Answers

Answer:

….

Step-by-step explanation:

You will need an image for that!

Katie walked a total of 68 kilometers by making 34 trips to school. How many trips will Katie have to make in all to walk a total of 348 kilometers? Solve using unit rates.

Answers

Find the distance of each trip:

68 km / 34 trips = 2 km per trip

Divide total distance by distance per trip:

348 km / 2 km per trip = 174 trips

Answer: 174 trips

A cube has square sides with area x2 +24x + 144. What expression represents the surface area of the cube?

Answers

Given:

A cube has square sides with area [tex]x^2+24x+144[/tex].

To find:

The expression that represents the surface area of the cube.

Solution:

We have

The area of each side of cube = [tex]x^2+24x+144[/tex]

Number of sides of a cube = 6

We know that, the total surface area of the cube is the product of number of sides of the cube and the area of each side. So, the total surface area of the cube is

[tex]SA=6(x^2+24x+144)[/tex]

[tex]SA=6(x^2)+6(24x)+6(144)[/tex]

[tex]SA=6x^2+144x+864[/tex]

Hence, the expression that represents the surface area of the cube is [tex]6x^2+144x+864[/tex].

I WILL VOTE BRAINLIEST, HELP PLS
Eliminate the x in the following system of equations. What is the result when you add the two equations?

Answers

Answer: -7y = 21

explanation:

x+y=2;3x−4y=27

Step: Solve x+y=2 for x:

x+y+−y=2+−y (Add -y to both sides)

x=−y+2

Step: Substitute −y+2 for x in 3x−4y=27:

3x−4y=27

3(−y+2)−4y=27

−7y+6=27 (Simplify both sides of the equation)

−7y+6+−6=27+−6 (Add -6 to both sides)

−7y=21 (answer)

first option

manipulate line 1 to

x = 2 - y

then substitute x in line to for the righthand side above

then solve towards y.

Completing the Square
Guided Practice
Solve the equation by completing the square. If necessary, round to the nearest hundredth.
2x2 - 10x - 20 = 8
A. 91/4, — 71/4
B. 7
C.7, -2

Answers

Answer is C, complete the square by adding 25/4 to both sides

Need help with this question

Answers

Answer:

C

Step-by-step explanation:

In a right triangle, the side opposite the right angle is the largest side as the right angle represents the largest angle in the triangle. Therefore, as 17.5 is opposite the right angle, we can say that AB²+10²=17.5², and √(17.5²-10²)=AB = 14.4

Using sohcahtoa, we can establish that

sin(∠C) = opposite/hypotenuse = 14.4/17.5, and

arcsin(14.4/17.5) = ∠C = 55°

Because the angles in a right triangle add up to 180 degrees, we can say that ∠A+∠B+∠C = 180°, so ∠A + 90 + 55 = 180 and ∠A = 35°

SOMEONE, PLEASE HELP
Use the quadratic model P(x) = 25x² − 24x + 615 to predict P(x) if x equals 8.

Answers

Answer:

2,023

Step-by-step explanation:

P(8) = 25(8)²-24(8)+615

= 1600- 192 +615

= 2,023

WXYZ is a rhombus. Find the measurements using what you know about the properties of a rhombus.
WZ=4cm

Answers

Answer:

See below.

Step-by-step explanation:

In a rhombus, all sides are congruent.

In a rhombus, opposite angles are congruent, and consecutive angles are supplementary.

XW = 4 cm

WZ = 4 cm

ZY = 4 cm

YX = 4 cm

m<X = 100 deg

m<Z = 100 deg

m<W = 80 deg

m<Y = 80 deg

4.26

[tex]12 \times 0.4 = 4.8 \\ [/tex]

pls help this question bamboozles me and I am now sitting here confused

Answers

Answer:

10+3pi

Step-by-step explanation:

The perimeter of of the shaded region is

AC+CT+marcSBT+SA

*Finding AC

The diagonals of a rectangle are equal is measurement. Since RB is a radius of the circle, then RB is 6. Since AC and RB are both diagonals of the rectangle, then AC is also 6.

*Finding CT

CT=RT-RC where RC is the width of the rectangle

Also RT is a radius so we have that

CT=6-RC

*Finding marcSBT

The circumference of a whole circle is 2pi*r.

We have a quarter of this with r=6.

1/4*2pi(6)

1/4*12pi

3pi

*Finding SA

SA=RS-AR

RS is a radius of the circle and AR is the length of the rectangle.

So we have that this can be rewritten as

SA=6-AR

Let's put these parts together:

6+6-RC+3pi+6-AR

Simplifying:

18-RC-AR+3pi

18-(RC+AR)+3pi

18-8+3pi (Remember length plus width equal 8)

10+3pi

How much is 3 lbs of gold worth I’m American money

Answers

Answer:

$1865

The gold calculator is a gold melt value calculator which can be used to determine the value of gold metal inside an item with a known weight and gold purity. These items may include gold jewelry (such as, bangles, bracelets, chains, earrings, necklaces, pendants, and rings), gold bullion and gold coins.

The gold calculator is designed to calculate the gold metal value for one item at a time. If you would like to calculate the gold metal value for multiple items simultaneously consider using the scrap gold calculator for scrap gold, the gold bullion calculator for gold bullion bars and coins, and the gold coin calculator for gold coins.

Which function has the same range as
f(x)=-2 Sqrt X-3 +8?

g(x)= VX-3-8
g(x) = VX-3+8
g(x)=- Vx+3+8
g(x)=√x-3-8


Answers

Answer:

C

Step-by-step explanation:

The option that has the same range than f(x) is:

[tex]g(x) = -\sqrt{x + 3} + 8[/tex]

What is the range of the given function?

Here we first have the function:

[tex]f(x) = -2*\sqrt{x - 3} + 8[/tex]

Remember that the square root only can be evaluated arguments equal or larger than zero.

So the minimum value of x that we can use is x = 3.

[tex]f(3) = -2*\sqrt{3 - 3} + 8 = 8[/tex]

And as x increases, the outcome will decrease (because the square root is being mulitiplyed by a negative number). So we can conclude that the range is y ≤ 8.

Which other function has the same range?

So, we need another function that has a maximum value in the range equal to positive 8, so we need to have a constant equal to 8, and a square root being multiplyed by a negative number.

The option that meets these two conditions is the third one:

[tex]g(x) = -\sqrt{x + 3} + 8[/tex]

If you want to learn more about domains and ranges, you can read:

https://brainly.com/question/10197594

Which of the following is the equation of the line that passes through the point (-7, 12) and is perpendicular to the line whose equation is y=8

a) y=-12
b) y=-7
c) x= -7
d) x=12

Answers

A y=-12 i just learend this and got 98 on my tesy

What is the sum of 15 – 6i and –2 + 9i?

Answers

Answer:

13 + 3i

Step-by-step explanation:

I just used a app for this problem.

Answer:

[tex]13 + 3i[/tex] is the sum of the numbers

Step-by-step explanation:

[tex]13 + 3i[/tex]

[tex]15 - 6i - 2 + 9i[/tex]  → Sum

collect like terms

[tex](15 - 2) + ( - 6i + 9i) =13 + 3i[/tex]

Need help on this question asap please

Answers

Answer:

3rd choice

Step-by-step explanation:

Similar triangles have congruent angles and proportional sides

They look similar but size may vary


Which of the following ordered pairs represents a solution to the linear inequality y<6x-4?

Answers

Answer:

Option D: (0,-5)

Step-by-step explanation:

Comparing the given points to the graph.

So, the point that will lie at the shaded area represent  solution to the linear inequality.

So, point (0,-5) is a solution to the linear inequality.

The answer is option D. (0,-5)

Note: the line y = 6x-4 is graphed using the table on the graph.

Marcus' 2018 federal tax payment was $5,350. This payment was ⅕ of his 2018 annual salary. What is his 2018 annual salary?

Answers

Answer:

$26750

Step-by-step explanation:

1/5 * (total salary) = 5350

So, 5*5350 = total salary = 26750

What is the value of x, given that PQ BC

Answers

the value is 55 over 200 million

Ariana rode the bus 5 3/8 miles to the mall. Then she got back on the bus and ride 2 3/4 miles to her friends house and then another 6 1/12 miles back to her house. What is the total distance, in miles that ariana rode the bus

Answers

Answer:

14 5/24

Step-by-step explanation:

Ariana's rode the bus 5 3/8 miles to the mall

She rode 2 3/4 miles to her friends place

Then she rode anrhe 6 1/12 miles back home

Therefore the total distance can be calculated as follows

= 43/8 +11/4 + 73/12

= 5456/384

= 341/24

= 14 5/24

Hence the total distance is 14 5/24 miles

I need help can’t figure this out :/

The table represents Joel's earnings
fordelivering papers. How much does
Joelearnperpaper? Show yourwork. Please help me I’ll give brainliest

Answers

Answer:

She earns $0.65 per paper

Step-by-step explanation:

1. She earns $3.90 per 6 papers

2. take $3.90 and divide by 6.

3. you will get the cost per paper.

4. to check the work if you'd like then take 7.80 and divide it by 12 and again you will get $0.65 per paper.

(you don't need to find a special calculator you can use one on your phone since each dollar has 100 cents so you just need to go out to the hundredths place in a decimal or the second decimal place)


х =
•100
•120
•140

Answers

Answer:

i just don't known

Step-by-step explanation:

1.20

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