A car depreciates in value by 17% per year.
If it cost $23 000 when it was new, how much is it worth after 4 years?

Answer:

B. s = 32t

Step-by-step explanation:

The equation would be in the form of s = mt.

Where, m = rate of change

Find rate of change using any two values given in the table, say (1, 32) and (2, 64)

Rate of change (m) = ∆s/∆m = (64 - 32)/(2 - 1) = 32/1 = 32

✔️To write the equation, substite m = 32 into s = mt

s = 32t

Answer:

-11

Step-by-step explanation:

7p +2=5p-20

7p-5p= -2-20

2p= -22

p=-11

Answer:

y=

1

2

x;−3y=4+

1

2

x

Rewrite equations:

y=

1

2

x;−3y=

1

2

x+4

Step: Solvey=

1

2

xfor y:

y=

1

2

x

Step: Substitute

1

2

xforyin−3y=

1

2

x+4:

−3y=

1

2

x+4

−3

1

2

x=

1

2

x+4

−3

2

x=

1

2

x+4(Simplify both sides of the equation)

−3

2

x+

−1

2

x=

1

2

x+4+

−1

2

x(Add (-1)/2x to both sides)

−2x=4

−2x

−2

=

4

−2

(Divide both sides by -2)

x=−2

Step: Substitute−2forxiny=

1

2

x:

y=

1

2

x

y=

1

2

(−2)

y=−1(Simplify both sides of the equation)

Answer:

x=−2 and y=−1

Step-by-step explanation:

Sorry if it is too confusing

Answer:

x = 13, y = 7/2 (You can check this yourself by plugging in the numbers yourself.)

Step-by-step explanation:

Answer:

Step-by-step explanation:

L = 2×π×r

9π cm = 2πr

9 cm = 2r

r = 4.5 cm

Answer: x=-2

Y= -20

Step-by-step explanation

You replace the y in the second equation with 10x. This is because it says 10x=y

2x+10x=12x so you put that

12x=-24

To get x by its self you divide by 12.

-24 divided by 12 is -2.

Now you plug in -2 to either equation as y. I chose the first one because it's easier.

10(-2)=y

-20=y

Answer:

[tex]m^{4}n^{5}[/tex]

Step-by-step explanation: ( I'm a student, I'm not really good at explaining maths )

When dividing variables with exponents, you subtract the exponents that has the same variables, like this:

[tex]m^{16-12}n^{10-5}[/tex]

Simplifying this becomes:

[tex]m^{4}n^{5}[/tex]

Answer:

9

Step-by-step explanation:

135 divided by 15 and u got ur answer

Answer:

Ivan receives £120 more than Tanya.

Step-by-step explanation:

Total Money = £ 150

Ratio = 4:1

This means that Ivan gets 4x of £150 and Tanya gets 1x of £150.

Ivan's money = 4x

Tanya's money = 1x

Now, we know that total money is equal to the sum of Ivan's & Tanya's money.

Total money = Ivan's money + Tanya's money

£ 150 = 4x + 1x

£ 150 = 5x

150/5 = x

30 = x.

We have found the value of x, now we can substitute 30 in the place of x and find the money Ivan and Tanya get.

Ivan = 4x = 4×30 = £120.

Tanya = 1x = 1×3 = £30.

So, Ivan receives more money. But how much more? We can solve that by subtracting Tanya's money from the total amount.

Total amount - Tanya's money = 150 - 30 = £120.

So, Ivan receives £120 more than Tanya.

Answer:

9/8

5/4

Step-by-step explanation:

yan ang napili ko

Answer:

Linear polynomial.

Step-by-step explanation:

A linear polynomial is written with a degree 1. An example of a linear polynomials includes 3x + 5. This is what 5b - 1 is.

Hope it helps!

Answer:

10

Step-by-step explanation:

because it is so big i hope it will be helpfull thank you

Answer:

Answer:

#1. approximate

#2. subtracting

#3. number and decimal

#4. adding

Step-by-step explanation:

Brainiest? lol its fines.

P.S. Good luck with every thing! (>o<)

Answer:

12

Step-by-step explanation:

Answer + Explanation:

Find the coordinates of each point and multiply it by 4:

J (1, 4) --> J' (4, 16)

K (6, 4) --> K' (24, 16)

L (6, 1) --> L' (24, 4)

M (1, 1) --> M' (4, 4)

Answer: y = 2 and x = 2

Step-by-step explanation:

[tex]9x^2+4(y-2)^2=36\\x^2=2y[/tex]

First, get the entire thing in terms of y, because you cant solve for two variables at the same time. They gave us the fact that x^2 = 2y

[tex]9(2y)+4(y-2)^2=36\\18y+4(y^2-4y+4)=36\\18y+4y^2-16y+16=36\\4y^2+2y-20=0[/tex]

What two numbers multiply to equal -80 but add to equal 2? That is +10 and -8.

[tex]4y^2+2y-20=0\\(4y^2-8y)+(10y-20)=0\\4y(y-2)+10(y-2=0)\\(4y+10)(y-2)=0\\y=-5/2\\y=2[/tex]

Now solve for x by plugging in y to the easier equation

[tex]x^2=2(-5/2)\\x\neq \sqrt{-5}[/tex]

If I didn't make a mistake, this should be the only answer. In the case of y = -5/2, you would get an imaginary x-value. Therefore y cannot equal -5/2

[tex]x^2=2(2)\\x=2[/tex]

The solution of the expression are,

x = 2.28 , y = 2.62

Or, x = 3.9i , y = - 7.62

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

9x² + 4 (y - 2)² = 36  .. (i)

x² = 2y  .. (ii)

Substitute the value of x² from (ii) in (i);

9x² + 4 (y - 2)² = 36

9 × 2y + 4 (y - 2)² = 36

18y + 4 (y - 2)² = 36

9y + 2 (y - 2)² = 18

9y + 2 (y² + 4 - 2y) = 18

9y + 2y² + 8 - 4y = 18

2y² + 5y + 8 - 18 = 0

2y² + 5y - 10 = 0

y = - 5 ± √5² - 4×2×- 10 / 2×2

y = - 5 ± √ 25 + 80 / 2

y = - 5 ± √ 105 / 2

y = - 5 ± 10.24 / 2

y = - 5 + 10.24 / 2

y = 5.24/2

y = 2.62

y = - 5 - 10.24 / 2

y = - 15.24 / 2

y = - 7.62

From (ii);

x² = 2y

x² = 2 × 2.62

x² = 5.24

x = 2.28

x² = 2y

x² = 2 × - 7.62

x² = - 15.24

x = 3.9i

Thus, The solution of the expression are,

x = 2.28 , y = 2.62

Or, x = 3.9i , y = - 7.62

Learn more about the mathematical expression visit:

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Answer: 15

Step-by-step explanation:

Answer:

1 / We have the area of a rectangle ABCD = 8 x 16 = 128 ft²

2 / Find the area of an isosceles Δ DEF:

The base of the isosceles ΔDEF => DF = DC- FC = 16 -12 = 4 ft

So the area of Δ DEF = 1/2 (DF x EH) = 1/2 (4 x 6) = 12 ft²

3 / Area of the irregular shape = area ABCB + Area DEF = 128 + 12 = 140 ft²

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

Do the opposite of everything to fin the number:

7 - 11 = -4

-4 x 8 = -32

Check to see if it's true:

-32/8 = -4

-4 + 11 = 7

So the original number was -32, because when you divide it by 8 then add 11 it equals 7.

Answer:1/3

Step-by-step explanation:

Answer:

1/3 or 0.3333

Step-by-step explanation:

[tex]\frac{4}{x} =12[/tex]

[tex]4 = 12x[/tex]

[tex]x= \frac{4}{12} = \frac{1}{3}[/tex]

Four divided by 1/3 equals 12.

Answer: x>−4

Step-by-step explanation:

Let's solve your inequality step-by-step.

6x−5>−29

Step 1: Add 5 to both sides.

6x−5+5>−29+5

6x>−24

Step 2: Divide both sides by 6.

6x/6>-24/6

Answer:

x > -4

Step-by-step explanation:

I took the test k12

Answer:

(-1/2, 4)

Step-by-step explanation:

Get the x intercept. The x intercept occurs at when y = 0

0 = 8x + 4

-8x = 4

x = 4/-8

x = -1/2

Get the y intercept

y intercept occurs at x = 0

y = 8(0) + 4

y = 0+4

y = 4

Hence the required solution is (-1/2, 4)

Answer: 4 gallons.

Step-by-step explanation:

With this equation, we can use the ratio 1/2 : 1/8. For every 1/2 gallon of paint, 1/8 of a wall is painted.

If 1/2 gallons covers 1/8 of a wall, then we need 8 of the 1/2 gallons to cover the whole wall. We canrepresent this by multiplying 8 and 1/2.

8 x 1/2 = 4.

Because of this, 4 gallons of paint are needed to cover he entire wall.

(Quick note: I don't know why, but the answer choices seem kind of weird. But the answer is 4 :])

Answer:

v = 1

Step-by-step explanation:

volume of a cube = side cubed

1 cubed = 1

Answer:

answer is 1 cubic unit

hope this helps

the answer is 12

because it is

Answer:

60.6 on delta math

Step-by-step explanation:

The rate of the flow will be 1.12 x 10⁻⁴ cubic meters per meter.

The rate of the flow of the fluid is defined as the volume of the fluid through a confined space or cross-section in a unit of time. The unit of the rate of flow is gallons per minute or cubic meter per minute.

Given that water flows through a pipe at a rate of 89 quarts per hour the value of the rate of flow in cubic meters per month will be calculated as below:-

1 quartz = ( 1 / 1056.688) cubic meters

1 quartz = ( 89 / 1056.688)

1 quartz = 0.08 cubic meters

1  quartz per hour = 0.08 / ( 24 x 30) cubic meters per month

1  quartz per hour =1.12 x 10⁻⁴ cubic meters per month

Therefore, the rate of the flow will be 1.12 x 10⁻⁴ cubic meters per meter.

To know more about the rate of flow follow

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Answer:

Only the third sequence is arithmetic

Step-by-step explanation:

If the sequence has a common difference, then it is arithmetic.  To find the common difference, substract a term from the next term.

First sequence:  

10 - 20 = -10     5 - 10 = -5    The differences are not the same,   so the sequence is NOT arithmetic

Second sequence:

-6 - (-3) = -3     -18 - (-6) = -12   The differences are not the same,   so the sequence is NOT arithmetic

Third sequence:

 10 -  5 =  5     15 - 10 = 5   20 - 15 = 5  The differences are the same,   so the sequence is arithmetic

Fourth sequence:

10 - 5 = 5    20 - 10 = 10   The differences are not the same,   so the sequence is NOT arithmetic

Answer:

336x + 624

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

i have no idea why there is a degree symbol by it probably an angle

anyway

7x+13=48

subtract 13 from both sides

7x+13-13=48-48 -> 7x=35

divide

7x/35

x=5

uwu