Find the missing factor.
80 X
640.000

Answer:

180

Step-by-step explanation:

The area of a parallelogram is given by the formula A = b × h, where b is the base and h is the height. In this case, the base is 10 and the height is 18. Therefore, the area is:

A=10×18

A=180

The area of the parallelogram is 180 square units

Answer:

Sure if they are not too hard

Step-by-step explanation:

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:

a) f(1) = 3

b) f(-1) = -0.25

c) x = 0, 3

d) x = -0.75

e) domain   [-2, 4]

    range   [-1, 3]

Step-by-step explanation:

In this graph, f(x) is represented by the y-axis.

a) We can see that f(1) (the y-value when x = 1) is 3.

b) Looking at the graph, we can estimate f(-1) as about -0.25.

c) We need to find the x-values when the y-axis is at 1. We can see that there are two points at x = 0, 3.

d) Looking at the graph, we can estimate that f(x) = 0 around when x = -0.75.

e) The domain of a function is its set of x-values. We can see that f(x) spans from x = -2 to x = 4. That range in interval notation is: [-2, 4]

The range of a function is its set of y-values. We can see that f(x) spans from y = -1 to y = 3. That range in interval notation is: [-1, 3].

Answer:

•x-intercept = 1

•y-intercept = -2

Explanation:

Given the linear equation

x-intercept

The x-intercept is the value where the line crosses the x-axis.

We calculate this by setting y=0

The x-intercept is 1.

We have the point (1, 0)

y-intercept

The y-intercept is the value where the line crosses the y-axis.

We calculate this by setting x=0

The y-intercept is -2.

We have the point (0, -2)

We then plot the points on the graph below:

Notice that:

Therefore, there are 1/3 of 9/4 hours in 3/4 hours.

Answer:

3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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i can help, but you need to write the whole question..

Answer:

x = 0.39 or

x = -1.72

Step-by-step explanation:

The quadrateic formula is:

\(x = \frac{-b\pm\sqrt{b^2 - 4ac} }{2a}\)

eq: 3x² + 4x - 2

which is of the form ax² + bx + c = 0

where a = 3, b = 4 and c = -2

sub in quadratic formuls,

\(x = \frac{-4\pm\sqrt{4^2 - 4(3)(-2)} }{2(3)}\\\\=\frac{-4\pm\sqrt{16 + 24} }{6}\\\\=\frac{-4\pm\sqrt{40} }{6}\\\\=\frac{-4\pm2\sqrt{10} }{6}\\\\=\frac{-2\pm\sqrt{10} }{3}\\\\=\frac{-2+\sqrt{10} }{3} \;or\;=\frac{-2-\sqrt{10} }{3}\\\\=0.39 \;or\; -1.72\)

Based on the given assumptions and calculations, the net present value (NPV) of the investment in the new piece of equipment is -$27,045.76, indicating that the investment is not favorable.

To calculate the after-tax cash flows for each year and evaluate the investment decision, let's use the following information:

Assumptions:

Tax depreciation is straight-line over five years.

Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4.

Tax on salvage value is 30% of the difference between salvage value and book value of the investment.

The cost of capital is 12%.

Given:

Initial investment cost = $50,000

Useful life of the equipment = 5 years

To calculate the depreciation expense each year, we divide the initial investment by the useful life:

Depreciation expense per year = Initial investment / Useful life

Depreciation expense per year = $50,000 / 5 = $10,000

Now, let's calculate the book value at the end of each year:

Year 1:

Book value = Initial investment - Depreciation expense per year

Book value \(= $50,000 - $10,000 = $40,000\)

Year 2:

Book value = Initial investment - (2 \(\times\) Depreciation expense per year)

Book value \(= $50,000 - (2 \times$10,000) = $30,000\)

Year 3:

Book value = Initial investment - (3 \(\times\) Depreciation expense per year)

Book value = $50,000 - (3 \(\times\) $10,000) = $20,000

Year 4:

Book value = Initial investment - (4 \(\times\) Depreciation expense per year)

Book value \(= $50,000 - (4 \times $10,000) = $10,000\)

Year 5:

Book value = Initial investment - (5 \(\times\) Depreciation expense per year)

Book value \(= $50,000 - (5 \times $10,000) = $0\)

Based on the assumptions, the salvage value is $10,000 in Year 5.

If the asset is scrapped in Year 4, the salvage value is $15,000.

To calculate the tax on salvage value, we need to find the difference between the salvage value and the book value and then multiply it by the tax rate:

Tax on salvage value = Tax rate \(\times\) (Salvage value - Book value)

For Year 5:

Tax on salvage value\(= 0.30 \times ($10,000 - $0) = $3,000\)

For Year 4 (if scrapped):

Tax on salvage value\(= 0.30 \times ($15,000 - $10,000) = $1,500\)

Now, let's calculate the after-tax cash flows for each year:

Year 1:

After-tax cash flow = Depreciation expense per year - Tax on salvage value

After-tax cash flow = $10,000 - $0 = $10,000

Year 2:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $0 - $0 = $0

Year 3:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $0 - $0 = $0

Year 4 (if scrapped):

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $15,000 - $1,500 = $13,500

Year 5:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $10,000 - $3,000 = $7,000

Now, let's calculate the net present value (NPV) using the cost of capital of 12%.

We will discount each year's after-tax cash flow to its present value using the formula:

\(PV = CF / (1 + r)^t\)

Where:

PV = Present value

CF = Cash flow

r = Discount rate (cost of capital)

t = Time period (year)

NPV = PV Year 1 + PV Year 2 + PV Year 3 + PV Year 4 + PV Year 5 - Initial investment

Let's calculate the NPV:

PV Year 1 \(= $10,000 / (1 + 0.12)^1 = $8,928.57\)

PV Year 2 \(= $0 / (1 + 0.12)^2 = $0\)

PV Year 3 \(= $0 / (1 + 0.12)^3 = $0\)

PV Year 4 \(= $13,500 / (1 + 0.12)^4 = $9,551.28\)

PV Year 5 \(= $7,000 / (1 + 0.12)^5 = $4,474.39\)

NPV = $8,928.57 + $0 + $0 + $9,551.28 + $4,474.39 - $50,000

NPV = $22,954.24 - $50,000

NPV = -$27,045.76

The NPV is negative, which means that based on the given assumptions and cost of capital, the investment in the new piece of equipment would result in a net loss.

Therefore, the investment may not be favorable.

Please note that the calculations above are based on the given assumptions, and additional factors or considerations specific to the business should also be taken into account when making investment decisions.

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The complete question may be like :

Assumptions: Tax depreciation is straight-line over five years. Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4. Tax on salvage value is 30% of the difference between salvage value and book value of the investment. The cost of capital is 12%.

You are evaluating an investment in a new piece of equipment for your business. The initial investment cost is $50,000. The equipment is expected to have a useful life of five years.

Using the given assumptions, calculate the after-tax cash flows for each year and evaluate the investment decision by calculating the net present value (NPV) using the cost of capital of 12%.

Answer:

0.6

Step-by-step explanation:

uhh, just divide?

Astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

It should be noted that astronomers study stars, planets, and other celestial bodies. It should be noted that they use ground-based equipment, like optical telescopes, and space-based equipment. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars.

In this case, astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

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Answer:

distance between, motion

Step-by-step explanation:

plato, I got it right

The prove of the given trigonometric function is given below.

The given trigonometric function is,

(sin⁴(x) - cos⁴(x))/(sin²(x) - cos²(x))

Now proceed left hand side of the given expression:

We can write the expression  as,

⇒[(sin²(x))² - (cos²(x))²]/(sin²(x) - cos²(x))

Since we know that ,

Algebraic identity:

a² - b²  = (a-b)(a+b)

Therefore the above expression be

⇒(sin²(x) - cos²(x))(sin²(x) + cos²(x))/(sin²(x) - cos²(x))

⇒(sin²(x) + cos²(x))

Since we know that,

Trigonometric Identities come in handy when trigonometric functions are used in an expression or equation. Trigonometric identities hold for all values of variables on both sides of an equation. Geometrically, these identities include one or more trigonometric functions (such as sine, cosine, and tangent).

Then,

sin²(x) + cos²(x)² = 1 is an trigonometric identity

Hence,

(sin⁴(x) - cos⁴(x))/(sin²(x) - cos²(x)) = 1

Hence proved.

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Answer:

OMG NO- KEEP IT THAT WAY

You're already right! :)

Answer:7%

Step-by-step explanation:the store is rapidly selling laptops

1. The probability that no laptops will be sold next week is very low, as the store has an average of 3 laptops sold per week. This probability can be calculated using the Poisson distribution, which is a probability distribution used to model the number of times an event occurs within a given time period. The probability of no events occurring within a given time period is given by the formula:P(x=0) = e^(-lambda)

Where lambda is the average number of events per time period. In this case, the probability that no laptops will be sold next week is:

P(x=0) = e^(-3) = 0.0498

2. The probability that a laptop will be sold next week can also be calculated using the Poisson distribution. The probability of at least one event occurring within a given time period is given by the formula:

P(x>=1) = 1 - P(x=0) = 1 - e^(-lambda)

In this case, the probability that a laptop will be sold next week is:

P(x>=1) = 1 - e^(-3) = 0.9502

3. The probability that only one laptop will be sold tomorrow (Tuesday) can be calculated using the Poisson distribution. The probability of x events occurring within a given time period is given by the formula:

P(x) = (lambda^x * e^(-lambda)) / x!

Where lambda is the average number of events per time period and x is the number of events being considered. In this case, the probability that only one laptop will be sold tomorrow is:

P(x=1) = (3^1 * e^(-3)) / 1! = 3 * e^(-3) = 0.224

Note that this probability assumes that the store sells laptops at a constant rate throughout the week, and does not take into account any variations in demand or other factors that may affect the number of laptops sold on a given day.

Check the picture below.

Answer: ninety point one hundred and twenty five?

Step-by-step explanation:

Answer:

ninty point one two five

Step-by-step explanation:

Answer:

0.20

Step-by-step explanation:

Answer:

30 inches

Step-by-step explanation:

Answer:

you could do 27+x=30

Step-by-step explanation:

Answer:

i am pretty sure it is D

Step-by-step explanation:

Answer:

Its C.) 11x^5 - 6x^2 - 9x + 12

Step-by-step explanation:

ejenuwitee

=D

=P

Answer:

(-3,-11)

Step-by-step explanation:

Compare the given quadratic equation with the general quadratic equation.

a=1, b=6 and c=-2

\(x=-\dfrac{(6)}{2(1)}\\=-3\)

Subsitute \(-3\) for \(x\) in given quadratic equation.

\(y=(-3)^2+6(-3)-2\\=9-18-2\\=-11\)

The minimum point is (-3,-11).

The original figure and Picture B are similar, with a scale factor of 1.5.

Two figures are classified as similar if the side lengths of each figure is proportional.

Then the constant of proportionality representing the ratio between the side lengths is the scale factor.

The ratios of the Picture A and the original figure are given as follows:

As the ratios are different, picture A and the original figure are not similar.

The ratios of the Picture B and the original figure are given as follows:

Hence they are similar with a scale factor of 1.5.

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Answer:

y=4x-1

Step-by-step explanation:

y=3+4(x-1)  <------ distribute property

y=3+4x-4    <---- combine 3 and -4

y=4x-1

Answer: y=4x-1

Step-by-step explanation:

y=3+4(x-1)                  Given

y=3+4x-4                    Distributive Property

y=4x-1                         Combine Like Terms

Answer:

Linear function 2

Step-by-step explanation:

If Linear function 1 has an x-intercept of 4,0 and a y-intercept of 0,22

It's a negative equation, Its not increasing Its decreasing.

So it must be Linear function 2

Answer:

2x - 3 = 11

x = -21

Step-by-step explanation:

Answer:

After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04

Step-by-step explanation:

Given the data:

3 5 6 7 7 8 8 8 9 9 9 10 102

Ordered data: 3, 5, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 102

The interquartile range (IQR) for the data:

IQR = Q3 - Q1

Q3 = 3/4(n + 1) th term.

n = sample size = 13

Q3 = 3/4(14) = 10.5th term

Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9

Q1 = 1/4(14) = 3.5th term

Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5

IQR = Q3 - Q1 = 9 - 6.5 = 2.5

THE STANDARD DEVIATION :

Sqrt[Σ(X - m)²/n-1]

Using calculator :

Standard deviation = 26.3

Correcting error in the data:

3 5 6 7 7 8 8 8 9 9 9 10 10.2

Q3 = 3/4(n + 1) th term.

n = sample size = 13

Q3 = 3/4(14) = 10.5th term

Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9

Q1 = 1/4(14) = 3.5th term

Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5

IQR = Q3 - Q1 = 9 - 6.5 = 2.5

THE STANDARD DEVIATION :

Sqrt[Σ(X - m)²/n-1]

Using calculator :

Standard deviation = 2.04

After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

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

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2