Graph the linear equation. X = - 4y​

The payback period of the investment is 6.6 years.

The net present value is $7,797.22.

The payback period calculates the amount of time it takes to recover the amount invested from the cumulative cashflows.

Payback period = Amount invested / cost saving

$55,440 / $8,400 = 6.6 years

Net present value is the present value of after-tax cash flows from an investment less the amount invested.  

NPV can be determined using a financial calculator

Cash flow in year 0 = $-55440

Cash flow in year 1 to 7 = $8,400

Cash flow in year 8 = $8400 + $27,700

I = 8%

NPV = $7,797.22

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Answer:

[tex]f(-3)=343[/tex]

Step-by-step explanation:

[tex]f(x)=(\frac{1}{7} )^x[/tex]

Plug -3 into x and solve using the negative power rule:

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

[tex]f(-3)=(\frac{1}{7} )^{-3} \\\\f(-3)=\frac{1}{\frac{1}{7}^3 } \\\\f(-3)=\frac{1}{\frac{1}{343} } \\\\f(-3)=343[/tex]

Sorry, those fractions got very small. Let me know if I need to clarify anything there

Answer:

13.5%×50000=6750

this is interest paid on loan 6750

50000+6750=56750

The total amount paid

Answer:

4 different answers

Step-by-step explanation:

1.

[(24/3) + (5*2^2)] = 28

2.

[(3 + 5) * 2^2 )]/24 = 32/24 = 4/3

3.

[(24/3 + 5)*2^2] = 52

4.

[(3 + 5*2^2)/24] = 23/24

Answer:

Step-by-step explanation:

1 - 2 + 10 o lw. First find a common denominator. 3 * 5 ... Divide the fraction to get a decimal answer. 21 into a an. Jinit. 5 = 1.25. Find a common.

Answer: The first graph

Step-by-step explanation:

A proportional graph always goes through the origin

Answer:

The first graph

Step-by-step explanation:

Answer:

[tex] \boxed{ \sf{x = 65 \degree}}[/tex]

Step-by-step explanation:

In the given figure we have two corresponding angles.

We know that corresponding angles are equal to each other

So,

Therefore, x = 65°

Corresponding angles are same

[tex]\\ \sf\longmapsto 2x+5=135[/tex]

[tex]\\ \sf\longmapsto 2x=135-5[/tex]

[tex]\\ \sf\longmapsto 2x=130[/tex]

[tex]\\ \sf\longmapsto x=130/2[/tex]

[tex]\\ \sf\longmapsto x=65°[/tex]

Answer:

what you men

Step-by-step explanation:

Answer:

This may not be right, but I tried! I believe its 6.

Step-by-step explanation:

It will take the ball 4.0625secs to stay in the air

The maximum height of the ball is 264.0625m

Given the function representing the height reached by the golf expressed as;

h(t) = -16t^2 + 130t

The velocity function is expressed as:

v(t) = -32t + 130

At maximum height, the velocity of the ball will be zero, i.e v(t) = 0

0 = -32t + 130

32t = 130

t = 130/32

t = 4.0625

Hence it will take the ball 4.0625secs to stay in the air

b) Substitute t = 4.0625 into the height function to have:

h(t) = -16t^2 + 130t

h(t) = -16(4.0625)^2 + 130(4.0625)

h(4.0625) = -264.0625 + 528.125

h(t) = 264.0625m

Hence the maximum height of the ball is 264.0625m

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270 = 2 x 3 x 3 x 3 x 5 = 2 x 3^3 x 5

ok done. Thank to me :>

Answer:

2x3x3x3x5

Step-by-step explanation:

if your doing this on time4learning lesson type 5x2x3x3x3 to get it right it worked for me but it didnt work in any other order

Answer:

(-7/4, 0) (0, 7)

Step-by-step explanation:

I'm assuming r is x

0=4r+7

r=-7/4

y=0r+7

y=7

Answer:

3 and-2

Step-by-step explanation:

The point of intersection

Answer:

x=-2, x=3

Step-by-step explanation:

x²-x-6=0

x²-3x+2x-6=0

x(x-3)+2(x-3)=0

(x+2)(x-3)=0

9514 1404 393

Answer:

  A.  x −3y = 6; 5x −y = 10

Step-by-step explanation:

The first table gives the x- and y-intercepts, so you can write the equation for the line in intercept form as ...

  x/a +y/b = 1 . . . . . . x-intercept = a; y-intercept = b

The x-value with y=0 is a=6; the y-value with x=0 is b=-2. So, the equation of the line for the first table is ...

  x/6 +y/-2 = 1

Multiplying by 6 gives ...

  x -3y = 6

The only matching equation is in answer choice A.

__

You can check that the second given equation in choice A matches the second table:

for (x, y) = (-3, -25), you have ...

  5(-3) -(-25) = -15 +25 = 10 . . . . as required

Answer:

11

Step-by-step explanation:

Substitute [tex]x=2:[/tex]

[tex]y=x^3+3[/tex]

[tex]y=2^3+3\\ =8+3\\ =11[/tex]

The lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.

The lower bound is the smallest value that would round up to the estimated value.

The upper bound is the smallest value that would round up to the next estimated value.

Here the number 1000 is rounded to the nearest 100 will be:

The Lower bound will be 950.

The Upper bound will be 1050

Hence the lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.

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Answer:

x-coordinate of the vertex: h = 6.

Step-by-step explanation:

The axis of symmetry is an imaginary line that divides the graph of a parabola into two congruent parts.  The vertex of a parabola, (h, k) is the point where the graph intersects the axis of symmetry.

In the standard form of quadratic equation, y = ax² + bx + c:

[tex]\large \sf{axis\:of\:symmetry:\:x\:=\:\frac{-b}{2a}}[/tex]

In the vertex form of quadratic function, y = a(x - h)²+ k:

[tex]\large \sf{axis\:of\:symmetry:\:h\:=\:\frac{-b}{2a}}[/tex]

Hence, the axis of symmetry is the point where x = h.  

Given these definitions, we can infer that the x-coordinate of the axis of symmetry is the same as the x-coordinate of the vertex, where h = 6.

Answer:

Skajekjejejwjejekwjkekekekejeje!!!

Step-by-step explanation:

Answer: lollllll , ?????

Step-by-step explanation:

The volume of the solid obtained by rotating the region bounded by the given curves about [tex]y = 1[/tex] is [tex]\frac{11\pi}{30} [/tex] cubic units.

Let [tex]f(x) = 1[/tex], [tex]g(x) = x^{1/2}[/tex] and [tex]h(x) = x^{2}[/tex], both [tex]g(x) [/tex] and [tex]h(x)[/tex] have the following intersection points: [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (1,1)[/tex]. This means that the interval of x-coordinates for the solid of revolution is [tex]x \in [0, 1][/tex].

The integral formula for the volume of the solid of revolution ([tex]V[/tex]), in cubic units, is:

[tex]V = \pi \int\limits^{1}_{0} {[h(x)-f(x)]^{2}} \, dx - \pi \int\limits^{1}_{0} {[g(x)-f(x)]^{2}} \, dx [/tex] (1)

After substituting on each function and simplifying terms we get the following integral:

[tex]V = \pi \int\limits^{1}_{0} {(x^{2}-1)^{2}} \, dx - \pi \int\limits^{1}_{0} {(x^{1/2}-1)^{2}} \, dx [/tex]

[tex]V = \pi\left[\int\limits^{1}_{0} {x^{4}} \, dx - 2\int\limits^{1}_{0} {x^{2}} \, dx -\int\limits^{1}_{0} {x} \, dx + 2\int\limits^{1}_{0} {x^{1/2}} \, dx \right][/tex]

And the volume of the solid of revolution is:

[tex]V = \pi \cdot \left(\frac{1}{5}-\frac{2}{3} -\frac{1}{2}+\frac{4}{3} \right)[/tex]

[tex]V = \frac{11\pi}{30} [/tex]

The volume of the solid obtained by rotating the region bounded by the given curves about [tex]y = 1[/tex] is [tex]\frac{11\pi}{30} [/tex] cubic units. [tex]\blacksquare[/tex]

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Answer:

Step-by-step explanation:

If a variable X changes by A% and another variable Y changes by B%, then overall net change when the two variables are multiplied is given by :

A + B + AB/100

If the change is “increase” it is positive & if the change is “decrease” it is negative.

In the given question, A = B = 25% ( Both positive as length increase )

And area = Side x Side

Applying our versatile relation :

Net increase in area = 25 + 25 + (25x25)/100 = 56.25%

Answer:

24.3

Step-by-step explanation:

Answer:

The answer would be 24.3

9514 1404 393

Answer:

  f(x) = -3/2x +5

Step-by-step explanation:

The differences between the x-values are all 2.

The differences between the y-values are all -3.

When the ratios of the differences are constant, the function is linear. The slope is ...

  m = Δy/Δx = -3/2

The y-intercept is given by the table value where x=0: b=5.

Then the slope-intercept equation is ...

  f(x) = mx +b

  f(x) = -3/2x +5

Answer:

golfing is fun but not to fun

Step-by-step explanation:

Answer:

5 tickets

Step-by-step explanation:

Each ticket costs $224 including the travel insurance and they are charged $22 regardless of the number of tickets they buy.

Therefore, the equation is 224x + 22 = 1142

First, you have to subtract the 22 from both sides to amount to 224x = 1120

Now, you divide 224 from 1120 to get 5

The family bought 5 tickets.

9514 1404 393

Explanation:

A)

Let t and f represent the numbers of two-point and four-point questions, respectively.

__

B) The number of points for each type of question is the product of the point-value per question and the number of questions of that type.

  2t + 4f = 100 . . . . . the test is worth 100 points

  t + f = 40 . . . . . . . . there are 40 questions on the test

_____

Additional comment

The test will have 30 two-point questions and 10 four-point questions.

Hasan's Expression: d - 0.25d

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

Bella's Expression: 0.75d

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

Explanation:

The variable d stands for the original price. The store is offering a 25% sale, which means that Hasan will save 25% of the original price. This means 0.25d represents the amount he saves (aka the discount amount).

For instance, let's say d = 100 is the original price. 25% of this is 0.25d = 25 dollars. So if the book is originally $100, then he saves $25.

As you can probably guess, the 0.75 comes from 1 - 0.25 = 0.75; it indicates that if Hasan saves 25%, then he still has to pay the remaining 75%

Notice how d - 0.25d = 1d - 0.25d = (1-0.25)d = 0.75d which points to the sale price being 75% of the original price d.

Answer:

Step-by-step explanation:

Given function:

Complete table by finding y values:

Answer:

Ms. Mona and Ms. Mary spent $590 and $398 respectively.

Step-by-step explanation:

Total spent= $988

Ms. Mary +Ms. Mona= $988

Since Ms. Mary spent $192 less than Ms. Mona,

(Ms. Mona -$192) +Ms. Mona= $988

2(Ms. Mona)= $988 +$192

2(Ms. Mona)= $1180

Amount Ms. Mona spent

= $1180 ÷2

= $590

Since Ms. Mary spent $192 less than Ms. Mona,

amount Ms. Mary spent

= $590 -$192

= $398

Alternatively, since the total spending is $988,

amount Ms. Mona spent

= $988 -$590

= $398

Answer:

[tex]7\cos(30^{\circ})[/tex]

Step-by-step explanation:

Answer:

=r-10+10>-7+10

=r>3

first add +10 to the both sides so as to balance the inequality then do a simple calculation which results you to the final answer.

For r > 3, the inequality r - 10 > -7 is satisfied.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An inequality is a relation comparing two expressions. For example -

3x + 4 > 5

ax + b < c

We have the following inequality -

r - 10 > -7

We can write -

r - 10 > -7

r - 10 + 10 > - 7 + 10

r > 3

Therefore, for r > 3, the inequality r - 10 > -7 is satisfied.

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