gage bought a new car for $29000 to use while he is away at college. The car decreases in value by 11% annually. What would the cars value after 4 years?

Answer:

7

Step-by-step explanation:

This is so because (+) × (-) is (-).

Just like (+) × (+) is (+) and (-) × (-) is (-).

So 10 + (-3) = 10 - 3 = 7.

Answer:

[tex]7[/tex]

Step-by-step explanation:

[tex]10 + ( - 3) \\ \\ (+) \: \times \: (- )= (- ) \\ so \: 10 - 3 \\ = 7[/tex]

Answer:

m= 4/5

Step-by-step explanation:

The equation of the line is in slope-intercept form.

y=mx+b

where m is the slope and b is the y-intercept.

Basically, the number that is being multiplied by x is the slope, and the number added or subtracted from that is the y-intercept.

We are given the equation:

y= 4/5x -3

4/5 is the coefficient of x. 3 is being subtracted from 4/5x.

Therefore, the slope of the line is 4/5 and the y-intercept is -3.

The question asks us to find the slope of the line, so the answer is 4/5.

The slope of the line represented by the equation y = 4x/5 - 3 is 4/5.

Given that an equation y = 4x/5 - 3 we need to find the slope of the equation.

In the slope-intercept form of a linear equation (y = mx + b), "m" represents the slope of the line.

The slope determines how steep or shallow the line is. It also tells us the rate at which the line is rising or falling as we move along the x-axis.

In the given equation, the coefficient of "x" is 4/5. This is the slope of the line.

To understand this better, compare the equation with the slope-intercept form: y = mx + b.

In the given equation, m (the slope) is 4/5. It means that for every 1 unit increase in the x-coordinate, the y-coordinate increases by 4/5 (or decreases by 4/5 if the slope were negative).

So, the line rises (or falls) at a rate of 4/5 for every unit increase along the x-axis.

In this case, since the slope is positive, the line will rise as we move from left to right on the coordinate plane.

Graphically, the line with a slope of 4/5 would look like a rising line, making an angle with the positive x-axis, and moving upwards from left to right.

So, the slope of the line represented by the equation y = (4/5)x - 3 is 4/5.

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Answer:

145 feet

Step-by-step explanation:

The computation of the elevation of the bottom of the canyon is shown below;

Given that

A = sea level

B = The point at which the canyon starts

C = Canyon bottom

AB = 40 feet

BC = 105 feet

Based on the above information

The AC or elevation of the canyon bottom is

AC = AB + BC

= 40 feet + 105 feet

= 145 feet

Answer:

1st use distance formula for each side of the triangle

then use PT for checking if they are equal then u will get it as equal

then use area of triangle formula u will get the ans explanation:

The values of n which the company break even are option (c) n = 20 and n = 250

From the question, the parameters are given as

Cost function, C(n) = 8n + 500

Revenue function, R(n) = 35n - 0.1n²

At the break even point, the functions C(n) and R(n) have the same value

This is represented as

C(n) = R(n)

Substitute the known values in the above equation

So, we have the following equation

8n+ 500 = 35n - 0.1n²

Collect the like terms

-0.1n² + 35n - 8n = 500

So, we have

-0.1n² + 27n - 500 = 0

Divide both sides by -0.1

n² - 270n + 5000 = 0

Factorize

(n -20)(n - 250) = 0

Solve for n

n - 20 = 0 and n - 250 = 0

This gives

n = 20 and n = 250

Hence, the company breaks even at n = 20 and n = 250

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Answer:

C) -6-(-3)=3

Step-by-step explanation:

-6-(-3)=

-6+3=

-3 (Not positive 3)

So the third one is incorrect

Step-by-step explanation:

Volume of a Trapezoidal Prism. If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2

Area of a trapezoid is found with the formula, A=(a+b)/2 x h.

Answer:

To find the surface area, the amount of space on the outside of a solid, of a trapezoidal prism, you'll need to find the area of the trapezoid base and multiply it by two. You'll then add the area of the four rectangles to the area of the two bases. Formula for Volume of a Trapezoidal Prism. If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2.

Answer:

x + 2y = 20

Step-by-step explanation:

We require the slope and the midpoint of AB

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(2, 4) and (x₂, y₂ ) = B(6, 12)

m = [tex]\frac{12-4}{6-2}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]

-----------------------------------

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ]

Thus midpoint of AB = ( [tex]\frac{2+6}{2}[/tex], [tex]\frac{4+12}{2}[/tex] ) = (4, 8 )

--------------------------------------------

y = - [tex]\frac{1}{2}[/tex] x + c ← partial equation of perpendicular bisector

To find c substitute (4, 8) into the partial equation

8 = - 2 + c ⇒ c = 8 + 2 = 10

y = - [tex]\frac{1}{2}[/tex] x + 10 ← in slope- intercept form

Multiply through by 2

2y = - x + 20 ( add x to both sides )

x + 2y = 20 ← in the form ax + by = c

Answer:X∧N and Y ∧N share a variable

Step-by-step explanation: X∧N

                                             Y∧N

they have the last same variable

Answer:

2.2%

Step-by-step explanation:

Given the following :

Population in year 2000 (A) = 4.2 million

Expected population every 32 years = 2 *A

The growth rate per year =?

The population figure after 32 years = (2 * 4.2 million) = 8.4 million

Using the exponential growth formula :

P(t) = A × (1 + r)^t

(1 + r) = g = Total growth percent

A = Initial population

t = time

P(t) = 8.4 million

8,400,000 = 4,200,000 × g^32

g^32 = (8400000/4200000)

g^32 = 2

Taking the root of 32 on both sides

g = 1.02189714865

g = (1 + r)

1.02189714865 = 1 + r

r = 1.02189714865 - 1

r = 0.02189714865

.rate = 0.02189714865 * 100

= 2.18971486541%

= 2.2% ( nearest tenth)

Answer:

f(g(x)) = 2x - 5

Step-by-step explanation:

If f(x) = 2x + 1 and g(x) = x - 3

Then to find the value of f(g(x)) we write x - 3 instead of x in the function f(x)

f(g(x)) = 2 (x-3) + 1 ➡ f(g(x)) = 2x -5

Answer:

[tex]\huge \boxed{f(g(x))=2x+-5}[/tex]

Step-by-step explanation:

The functions are given,

[tex]f(x)=2x+1[/tex]

[tex]g(x)=x-3[/tex]

To find [tex]f(g(x))[/tex], the input for the function f of x will be g of x.

[tex]f(g(x))=2(x-3)+1[/tex]

Expand brackets.

[tex]f(g(x))=2x-6+1[/tex]

Combine like terms.

[tex]f(g(x))=2x-5[/tex]

Step-by-step explanation:

Constructions are useful in life. From learning it, you are able to use the required tools, and get familiarized with different shapes and angles. This would help you prepare for the task of proving theorems that involved those shapes and angles. It is not the end, ultimately, it prepares you for real life. Constructions are applied in building houses, estates, etc, and constructions of roads, bridges, etc.

Answer:

Step-by-step explanation:

+ si

Answer:

The answer is below

Step-by-step explanation:

a) T=2.25h+1.75d

To rewrite the equation to find d, we have to make d the subject of the formula.

T=2.25h+1.75d

Subtract 2.25h from both sides:

T - 2.25h = 2.25h + 1.75d - 2.25h

1.75d = T - 2.25h

Divide both sides by 1.75

1.75d/1.75 = (T - 2.25h) / 1.75

d = (T - 2.25h) / 1.75

b) Additive property and law of division

c) The money spent (T) = $18.25 and the number of hot dogs (h) = 5. To get the number of drinks, substitute the value of h and T in the equation d = (T - 2.25h) / 1.75. Hence:

d = (T - 2.25h) / 1.75

d = (18.25 - 2.25(5)) / 1.75

d = (18.25 - 11.25) / 1.75 = 7 / 1.75

d = 4

The number of drinks that can be bought is 4

Answer:

.3

Step-by-step explanation:

P( defective) = number defective/ total

                     = 3/10

                      .3

Answer:

[tex]\huge\boxed{0.3}[/tex]

Step-by-step explanation:

Total CDs = 10

Defective CDs = 3

P(Defective) = 3/10

P(Defective) = 0.3

Answer:

x = 0

Step-by-step explanation:

because the x coords are still 0 and y is changing.

Answer:

A-B= (a,b,c,d)-(p,q,r,s)

=( )

B-A =(p,q,r,s)-(a,b,c,d)

( )

Answer:

Step-by-step explanation:

Given,

A = { a , b , c , d }

B = { p , q , r , s }

Let's find the difference of two set A and B :

A - B = { a , b , c , d } - { p , q , r , s }

The difference of two sets A and B is denoted by A - B and defined as the set of all the elements of A only which are not in B.

⇒A - B = { a , b , c , d }

Now, let's find the difference of two sets B and A

B - A = { p , q , r , s } - { a , b , c , d }

Similarly, The difference of two sets B and A is denoted by B - A and defined as the set of the all elements of set B only which are not in A.

⇒ B - A = { p , q , r , s }

Hope I helped!

Best regards!!

Answer:

Domain: All Real numbers

CoDomain : All Real numbers

Range: [tex]\left\{y|y\geq 0 \right\}[/tex]; that is: Real numbers larger than or equal to zero

Step-by-step explanation:

Notice that the graphed function can use any Real number x (from - infinity to + infinity) and produce an output.  Therefore, the Domain of the function plotted in graph 3 is : All Real numbers.

The set of possible outputs (CoDomain) is also the set of all Real numbers (notice that the y-axis extends form - infinity to + infinity

But the Range (the actual set of the collection of outputs of the function) is just a subset of the CoDomain consisting of the Real numbers larger than or equal to zero (notice that the drawing of the function touches the x axis and lies completely on the upper half of the plane.

Answer/Step-by-step explanation:

a. From the bar graph, 1 student scored 9, 4 students scored 10.

Therefore, the no. of students who scored above 8 is: [tex] 1 + 4 = 5 [/tex]

b. From the graph, we have the following:

3 students scored 1

5 students scored 2

2 students score 4

6 students scored 5

12 students scored 8

1 student scored 9

4 students scored 10

Total no. of pupils in year 7 class = 3 + 5 + 2 + 6 + 12 + 1 + 4 = 33 students

c. It is assumed that all the students in Mr Hassan's year 7 class took the test.

Answer:

First we need to find the value of 1.11 * 10^12.

We need to solve the exponent first.

10^12 = 1000000000000

Next, we will multiply this by 1.11.

1,000,000,000,000 * 1.11 = 1,110,000,000,000

The value of 1.11*10^12 is equal to 1,110,000,000,000.

We can immediately rule out a), 90,000,000,000 as an answer. We can easily tell that out solution is greater than this answer.

Now we will find the value of option b).

5.66 * 10^11.

We need to solve the exponent first.

10^11 = 100000000000

Next, we will multiply this by 5.66.

100,000,000,000 * 5.66 = 566,000,000,000

This number is not greater than our solution to 1.11 * 10^12. Therefore, option b) is not your answer.

Now we will find the value of option c).

1.01 * 10^13.

We need to solve the exponent first.

10^13 = 10,000,000,000,000

Next, we will multiply this by 1.01.

10,000,000,000,000 * 1.01 = 10,100,000,000,000

This number is greater than our solution to 1.11 * 10^12. Therefore, option c) is your answer.

Hope this helps!

Step-by-step explanation:

Option C.  1.01×10¹³ which is 1010×10¹⁰ is larger than 111×10¹⁰.

Write all the given numbers in same powers of 10 and then compare the base.larger base is the larger number.

According to the given question we have to choose the correct option for a numbers which is larger than 1.11×10¹².

We know 10¹² has 12 zeroes after 1.

In option a 90,000,000,000 it has 10 zeroes so it can be written as 9×10¹⁰

and 1.11×10¹² can be written as 111×10¹⁰ so option A is smaller.

looking at option B. which is 5.66×10¹¹ this can also be written as 56.6×10¹⁰.

Which is gain smaller than 111×10¹⁰.

Option C. which is 1.01×10¹³ which can be written as 1010×10¹⁰ which is larger than 111×10¹⁰.

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Answer:

Patricia's account balance after thirteen years is $867.15.

Step-by-step explanation:

It is given that,

Principal on deposited amount is $612.40

Rate is 3.2%

We need to find Patricia's account balance after thirteen years, t = 13 years

This problem is based on the concept of simple interest. Interest is given by :

[tex]I=PRt\\\\I=612.4\times \dfrac{3.2}{100}\times 13\\\\I=\$254.75[/tex]

Net amount = $612.40 + $254.75=$867.15

Answer:2/3 or 66.666%(don't quote me if I'm wrong about this)

==============================================

Explanation:

The left endpoint is -2. The right endpoint is 10. Both endpoints are open holes, meaning we do not include them as part of the green shaded solution region. If x is a solution, then the solution can be described as [tex]-2 < x < 10[/tex] which converts to the interval notation [tex](-2, 10)[/tex]. The curved parenthesis says "do not include the endpoint".

Note: this is not ordered pair notation (x,y). Unfortunately math tends to reuse symbols so it might be a bit confusing at first.

Using inspiration from the hexagon example, we can cut out a side of the parallelogram and move that portion to the opposite side. The cut can be a curve of any kind or it could be a jagged edge like I have done below. The figure tessellates the plane as shown in the last section of the diagram. We can place the figures side by side to fill up a 2D space. Think of it like putting a jigsaw puzzle together in a way.

Answer:

She bought 5 pounds

Step-by-step explanation:

Original worth of gift card = $80

Balance on card after purchase = $39.55

Amount used for purchase = 80 - 39.55 = $40.45

Next let us determine how many pounds of coffee she bought as follows:

Price of coffee = $8.09 per pound

amount spent on coffee = $40.45

Lett the number of pounds of coffee she bought be x

$ 8.09 = 1 pound

$40.45 = x pounds

since $8.09 = 1 pound

[tex]\$\ 1 = \frac{1}{8.09}\ pounds[/tex]

[tex]\$\ 40.45 = 40.45 \times\ \frac{1}{8.09} \\= \frac{40.45}{8.09}\\ = 5\ pounds[/tex]

Answer:

x = -3

Step-by-step explanation:

See steps of solution:

Answer is -3

Answer:

x = -3

Step-by-step explanation:

5(5x+3) - 4(2x-9) = 0     Multiply out.

5*5x + 5*3 - 4*2x + 36 = 0

25x + 15 - 8x + 36 = 0 Combine like terms.

25x - 8x + 15 + 36 = 0

17x + 51 = 0 Subtract 51 from both sides.

17x = - 51   Divide each side by 17.

17x/17 = -51/17

x = - 3

Answer:

CT= $950

Step-by-step explanation:

Dado la siguiente información:

Servicio= $300 primeros dos

Servicio adicional= $150

Descuento= $100

Para calculate el costo total, tenemos que usar la siguiente formula:

CT= 300x + 150y - 100

x= costo normal

y= costo promocional

CT= 300*2 + 150*3 - 100

CT= $950

Answer:

2/5x³ + 1/5x² + 1/5x

Step-by-step explanation:

You have to divide each term in the polynomial by the monomial.

(4x⁴ + 2x³ + 2x²)/10x

2/5x³ + 1/5x² + 1/5x

The solution is, 2/5x³ + 1/5x² + 1/5x is the answer of the division.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

given that,

(4x^4+2x^3+2x^2)÷10x

now,

we have to divide each term in the polynomial by the monomial.

so, we get,

(4x⁴ + 2x³ + 2x²)/10x

=(4x⁴/ 10x + 2x³/ 10x  + 2x²/ 10x )

=2/5x³ + 1/5x² + 1/5x

Hence, The solution is, 2/5x³ + 1/5x² + 1/5x is the answer of the division.

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Answer:

Diagram 5: Not adjacent angles

Diagram 6: Not adjacent angles

Diagram 7: Are adjacent angles

Diagram 8: Are adjacent angles

Step-by-step explanation:

In order for angles to be adjacent, they need to have all of three things:

1. Have a common vertex

2. Have a common side

3. Must not overlap

Diagram 5 does not have a common side between angles 1 and 2, so it is not adjacent.

Diagram 6 does not even have angles 1 and 2 connected in any way so it is not adjacent.

Diagrams 7 and 8 have all three conditions, so those diagrams are adjacent.