1. To call London, a long distance phone company charges a fixed rate for the first minute different rate for each additional minute. If a 12 minute phone call costs $2.35 and a 25 inute call costs $3.65, how much are their rates?

To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

Answer:

100 miles

Step-by-step explanation:

Let m be the number of miles.

\(100 + .30m = 50 + .80m\)

\(100 = 50 + .50m\)

\(.50m = 50\)

\(m = 100\)

Answer:

100

Step-by-step explanation:

You can put into a graph such as desmos and see where the lines intersect. the x value of the intersection is the answer you want.

Answer:

2

Step-by-step explanation:

\( - 5(4x - 2) = - 2(3 + 6x)\)

\(20x - 10 = 6 + 12x\)

\(8x = 16\)

\(x = 2\)

Answer:

x=2

Step-by-step explanation:

-5(4x-2)=-6-12x

-20x+10=-6x-12x

-8x=-16 | : (-8)

x= 2

Answer:

The equation of the line will be:

Step-by-step explanation:

We know the slope-intercept of a line equation is

\(y = mx+b\)

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

Given two points on a line graph

Finding the slope between two points

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)\)

\(m=\frac{10-0}{25-0}\)

\(m=\frac{2}{5}\)

We know that the y-intercept on a line graph can be observed by setting x=0 and checking the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept = b = 0

Now, substituting b = 0, and m = 2/5 in the slope-intercept form

\(y = mx+b\)

\(y\:=\:\frac{2}{5}x+0\)

\(y\:=\:\frac{2}{5}x\)

Therefore, the equation of the line will be:

The dimensions listed above are thus neither exact nor precise.

In the given question the chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively and we have to classify the following set of measurements as accurate, precise, both, or neither.

It is the "value" that a buyer is prepared to pay for an object, particularly a used or second-hand car; typically, the "real worth" of any used car is a predetermined price tag after determining its value based on its condition and usage.

The chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively. This demonstrates that the weight of chocolate chips is not comparable to their actual worth.

The dimensions listed above are thus neither exact nor precise.

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Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

The graph of the given function is attached.

Given is a function for the rainfall in 5 months in inches.

We need to display the data,

So, as we can see that the data is not showing any proportion or pattern,

So, it can be displayed as a line chart.

Hence the chart is attached for the function.

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The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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Answer:

A

Step-by-step explanation:

The equation of line is y= -4x -23

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. 

The slope of the line is the ratio of the rise to the run, or the rise divided by the run, therefore the change in y coordinate with regard to the change in x coordinate may be expressed as follows. In the coordinate plane, it describes the slope of the line.

Given:

We can take the coordinates from the given graph as (0, 3) and (2, -5)

Now, the slope = (-5 - 3)/ (2 - 0)

slope= -8/ 2

slope= -4

Now, using the point- slope form

(y - \(y_1\)) = m(x - \(x_1\))

(y- (-3))= -4( x- (-5))

y+3 = -4(x+5)

y+ 3= -4x - 20

y= -4x -23

Hence, the equation of line is y= -4x -23.

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Answer:

\(368.54 = 3*100 + 6.8*10 +5*1/10 + 4*100\)

Step-by-step explanation:

Given

\(368.54 = ( [\ ] * 100) + ( [\ ] * 10) + ( [\ ] * 1/10) + ( [\ ] * 1/100)\)

Required

Fill in the gap

The number can be expressed as:

\(368.54 = 300 + 60 + 8 +0.5 + 0.04\)

Factorize:

\(368.54 = 3*100 + 6*10 + 0.8*10 +5*1/10 + 4*100\)

Factor out 10 in 6 * 10 + 0.8 * 10

\(368.54 = 3*100 + [6 + 0.8]*10 +5*1/10 + 4*100\)

\(368.54 = 3*100 + 6.8*10 +5*1/10 + 4*100\)

Solved

Answer:

radius = 4 cm

Step-by-step explanation:

r≈4cm

Using the formula

V=πr2h

Solving forr

r=V

πh=1004.8

π·20≈3.99899cm

Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

Answer:

-6273682

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Answer:

50/50.

Step-by-step explanation:

I will say that it is 50/50 because it is a coin. There are 2 sides. Which is a 50/50 chance of landing on either side. And, it really doesn't matter if the heads or tails are more or less. The probability is still the same if I am not mistaken.

Answer: 75 cups of giardia-laced lemonade

Step-by-step explanation:

       On the first day he sells 33 lemonades, so we will start with "33 +" for our equation. Then, he sells 6 additional lemonades each day further as the summer heats up. If x is equal to days, the next part will be "6(x-1)" for our equation.

       Lastly, we will plug in an 8 for x, number of days, and solve,

33 + 6(x - 1)

33 + 6(8 - 1)

75

             75 cups of giardia-laced lemonade

The value of the expression f(a) is f(a) = a^2 + 7a, based on the given function f(x) = x^2 + 7x and the value x = a

The given parameters in the question are:

f(x) = x^2 + 7x and

x = a as in f(a)

This means that the equation of the function f(x) is given as:

f(x) = x^2 + 7x

To calculate the value of the function f(a), we simply substitute a for x in the equation of the function f(x) = x^2 + 7x.

This means that we set x to a in the equation of the function f(x) = x^2 + 7x.

So, we have;

f(a) = a^2 + 7a

The above equation cannot be further simplified or expanded

So, we conclude that

Based on the given function f(x) = x^2 + 7x and the value x = a, the value of the expression f(a) is f(a) = a^2 + 7a

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Answer:

$1701.75

Step-by-step explanation:

34535-500=34035

34035/20=$1701.75 per year

The mean of the data is 20038.24, the median is 16050 while the number with the highest frequency is 11500

Mean are known as averages, median is the middle value after rearrangement while the mode is the value with the highest frequency

Calculate the mean

Mean = sum of data/sample size

Given the data

29300, 24350, 32400, 15100, 14200, 21950, 27450, 29400, 15200, 35050, 16050, 11500, 13050, 11500, 11600, 11100, 21450

The mean of the data is 20038.24

For the median being the value at the middle, the median is 16050 while the number with the highest frequency is 11500

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Answer:

Tn = 17-6n

Step-by-step explanation:

d = 5-11 = -6

Tn = a + (n-1)d = 11 + (n-1)×-6

= 11 -6n +6 = 17-6n

Around 0.000125 or 0.0125% of the time, the song will be played exactly six out of seven days.

Every day represents a trial in this binomial probability issue, and there are only two potential results:

either the music is played (a success), or it is not (failure). We're looking for the likelihood that exactly 6 out of 7 trials will be successful.

The likelihood of success (performing the song) is 1/6, while the likelihood of failure (not playing the song) is 1 - 1/6 = 5/6, on any given day.

We can use the binomial probability formula to find the probability of exactly 6 successes in 7 trials:

P(6 successes) = (7 choose 6) * (1/6)⁶ * (5/6)¹

where (7 choose 6) is the number of ways to choose 6 days out of 7 to play the song, and is calculated as:

(7 choose 6) = 7! / (6! * 1!) = 7

Plugging in the values, we get:

P(6 successes) = 7 * (1/6)⁶ * (5/6)¹

P(6 successes) ≈0.00012502

Therefore, the probability that the song will be played on exactly 6 days out of 7 is approximately 0.000125 or 0.0125%.

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Answer:

###########÷#######################

Answer:

64 oz= 4 lbs

5 gal= 20 qt

660 yds = 0.375 miles

¼ miles = 440 yds

24 oz = 3 cups

4 c = 32 oz

24 ft = 8yds

Step-by-step explanation:

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:

  B.  A point

Step-by-step explanation:

You want a description of the intersection between a plane and a cone given that the plane is parallel to the base and passes through the vertex of the cone.

The vertex of a cone is a single point. If a plane passes through that, but does not intersect the base of the cone, it will not intersect anywhere else.

The intersection is one point.

__

Additional comment

Figure f in the attachment illustrates this case.

Solving the system of equations, it is found that x = 3, that is, there are 3 128 MB memory sticks.

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

We want to solve for x, thus, in the first equation, we write y as a function of x, that is:

\(y = 7 - x\)

Replacing in the second equation:

\(128x + 512(7 - x) = 2432\)

\(128x + 3584 - 512x = 2432\)

\(384x = 1152\)

\(x = \frac{1152}{384}\)

\(x = 3\)

x = 3, that is, there are 3 128 MB memory sticks.

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Answer:

3 71/100 = 3.71

Step-by-step explanation:

To convert this mixed number (fraction) to a decimal just follow these two steps:

Step 1: divide numerator (71) by the denominator (100): 71 ÷ 100 = 0.71

Step 2: add this value to the the integer part: 3 + 0.71 = 3.71. So,

3 71/100 = 3.71

im not quite sure how to explain it, because im a very messy worker, but I got 71.75.  If youre looking for someone to explain it, im not it lol.

For your question: A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°. Which parametric equations model the dolphin’s path through the air?

After doing the math in my notebook, I got the answer D.

Please let me know if you have any other questions down below.

The parametric equations model the dolphin’s path through the air will be x(t) = 44cos(60o)t and y(t) = –16t2 + 44sin(60o)t.

The standard equation of a parabola is given by:

y = (x-h)² + k

Where (h, k) is the vertex of the parabola.

A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°.

Therefore, the amplitude of the equation must be 44 feet and the phase angle will be 60 degrees.

Therefore, The parametric equations model the dolphin’s path through the air will be x(t) = 44cos(60o)t and y(t) = –16t2 + 44sin(60o)t.

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Answer:

A

Step-by-step explanation:

The conclusion is Nothing further because the sample is not random, the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The statement of poll

Now,

Nothing further because the sample is not random. This is because the poll is based on a voluntary response from users who visit Twiigs, which may not be representative of the population of all parents. There may be a selection bias or a response bias that affects the results. For example, parents who are more concerned about autism may be more likely to visit Twiigs or to participate in the poll than those who are not.

the poll cannot be used to draw any valid conclusions about the general attitude of parents towards vaccination and autism.

Therefore, by algebra the answer will be Nothing further because the sample is not random

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Answer:

If you mean multiply by three when you say “three times”, then 3.

If you mean 1 to the third power when you say “three times”, then 1.

Step-by-step explanation:

1 x 1 x 1 x 1=1 is 1 to the fourth power.

If you mean multiply by three when you say “three times”, then 1x3=3.

If you mean 1 to the third power when you say “three times”, then 1x1x1=1.