Tyrel estimates that he can average $6.20 per hour throughout the week on all the jobs he does. Last week he werked 18.75 hours. If his estimate was correct, how much did he earn last week? ​

a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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Answer:

нечего не понятно но очень интересно да, очень

Answer:

It is just .55*12,400

Step-by-step explanation:

thats literally all it is

Answer:

If you Meant (12,400) then around 6,820 planned to travel again

Step-by-step explanation:

Answer:

x=−2 or x=9.

Step-by-step explanation:

x2−7x−18=0

Step 1: Factor left side of equation.

(x+2)(x−9)=0

Set factors equal to 0.

x+2=0 or x−9=0

x=−2 or x=9

Answer:

see explanation

Step-by-step explanation:

in an arithmetic sequence there is a common difference d between consecutive terms , then

(a)

a₂ - a₁ = a₃ - a₂ , that is

- k + 10 - (2k + 1) = k - 1 - (- k + 10) ← distribute parenthesis on both sides

- k + 10 - 2k - 1 = k - 1 + k - 10

- 3k + 9 = 2k - 11 ( add 3k to both sides )

9 = 5k - 11 ( add 11 to both sides )

20 = 5k ( divide both sides by 5 )

4 = k

(b)

the first 3 terms are then

a₁ = 2k + 1 = 2(4) + 1 = 8 + 1 = 9

a₂ = - k + 10 = - 4 + 10 = 6

a₃ = k - 1 = 4 - 1 = 3

the first 3 terms are 9, 6, 3

(c)

d = a₂ - a₁ = 6 - 9 = - 3

(d)

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 9 and d = - 3 , then

S₂₀ = \(\frac{20}{2}\) [ (2 × 9 ) + (19 × - 3) ]

      = 10( 18 - 57)

     = 10 × - 39

    = - 390

Answer:

hosta = 2 $,,, geranium = 5 $

Step-by-step explanation:

if we make two eq.

1) .... 54 = 2h + 10g

2) ...... 40 = 10h + 5g

if we multiply 1st by -5 it turns to

3) ..... -270 = -10h - 50g

cancel both 10h

add eq. .. becomes : -230 = -46g

g = 5

substitute in any find , that h = 2

Answer:

832.5.

Step-by-step explanation:

sorry, but this cannot type fractions, so just take the answer.

Answer:

832.5

Step-by-step explanation:

To find the area of a trapezoid, you need to use the formula (a+b)/2 x h

a = 18 = base

b = 27 = base

h = 37 = height

18 + 27 = 45

45/2= 22.5

37 x 22.5 = 832.5

Answer:

The probability is a 50% chance of you picking an even number

Step-by-step explanation:

Answer:

Incorrect

Step-by-step explanation:

When you subtract a negative number it changes it to adding a positive number according to math rules.

6 - (-8) -> 6 + 8

Best of Luck!

Answer:

if Bob rewrite the expression 6-(-8) as 6-(+8) it will be incorrect.

Step-by-step explanation:

If Bob rewrite the expression, 6-(-8) as 6-(+8) he will be incorrect because if he right 6-(-8) as 6-(+8) it will be completely incorrect as if we open the bracket of 6-(-8) it becomes 6+8which is 14 but if we opens open the bracket of 6-(+8) which is -2 and hence simplify will be totally incorrect .Thus,bob should not rewrite the expressions, 6-(-8) as 6-(+8).

Answer:

x=15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number be x:

So absolute value of -55 and 55 is 55

Answer:

\( | - 55| = 55 \)

Absolute value of both 55 and |-55| is 55.

Answer:

250 bottles and 150 bags of trail mix.

Step-by-step explanation:

You multiply 250 times 3.5 and get 875. Then you multiply 150 times 4 and get 600. Then add 875 plus 600 and get 1475.

Answer:

250 bottles and 150 bags

The numerical expression to model the situation when Kristen read her book is 2 + 1.

A numerical expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this case, Kristen read her book for 2 hours after school, then she read for another hour before she went to sleep. The expression will be:

= 2 + 1

= 3

She read for 3 hours.

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Answer:

81

Step-by-step explanation:

90+25= 115

115 - 34 = 81

The required scale factor between the building and toy model is given as 900.

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
The area of the front side of the toy building is 1 square foot.
The real building's front side has an area of 900 square feet.
The real buildings as a dilation of the toy,
Scale factor = 900 /1
Scale factor = 900

Thus, the required scale factor between the building and the toy model is given as 900.

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Answer:

3.4, 1/4, 12%, -0.01, -26.1

Step-by-step explanation:

The simplest way to do these type of problems is to convert all of the numbers into either a fraction, decimal, or a percentage. In my opinion, it is easier to use a percentage here.

12% is already a percentage

-0.01 = -1%

1/4 = 25%

3.4 = 340%

-26.1 = -2610%

Now that the rational numbers are all in the same unit, it is easier to sort them. In the end, we get this list (from greatest to least):

3.4, 1/4, 12%, -0.01, -26.1

FINAL ANSWER: 3.4, 1/4, 12%, -0.01, -26.1

Answer:

10.4

Step-by-step explanation:

8 + 4 x 3/5

4/1 x 3/5 + 12/5

8 + 2.4 = 10.4

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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The correct option regarding the numeric values of the functions at x = -3 is given as follows:

f(-3) < g(-3).

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

At x = -3, the definition of function f(x) for this problem is given as follows:

f(x) = 3x + 4.

(piece-wise function has different definitions depending on the input, -3 is less than 1 hence the first definition is applied).

Hence the numeric value is:

f(-3) = 3(-3) + 4 = -9 + 4 = -5.

From the table, the numeric value of function g(x) at x = -3 is given as follows:

g(-3) = 0.

0 is greater than -5, hence the correct option is given as follows:

f(-3) < g(-3).

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Step-by-step explanation:

Easy steps!

Mallory should adjust her consumption of candy and cookies until the marginal utility per dollar for each good is equal, and she has spent all of her income.

Marginal utility refers to the additional satisfaction or benefit that a person receives from consuming one additional unit of a good or service. It is a concept in economics that is based on the idea that the value of each additional unit of a good or service diminishes as a person consumes more of it.

For example, if you are hungry and you eat a slice of pizza, the first slice of pizza may provide a high level of satisfaction or utility. However, as you continue to eat more slices of pizza, the marginal utility of each additional slice decreases. At some point, you may become full and may even start to feel sick if you continue to eat more pizza.

To determine whether Mallory should consume more cookies, more candy, or leave her consumption unchanged, we need to calculate the marginal utility per dollar for each good. This will tell us which good is providing the most additional utility for each dollar spent.

The marginal utility per dollar for candy is calculated as follows:

MUc/Pc = 12 utils / $1 = 12 utils per dollar

The marginal utility per dollar for cookies is calculated as follows:

MUk/Pk = 6 utils / $0.50 = 12 utils per dollar

Since the marginal utility per dollar for cookies and candy is the same (12 utils per dollar), Mallory should consume either more cookies or more candy, or a combination of both, until the marginal utility per dollar for both goods is equal. This means that the last dollar spent on both goods should provide the same additional utility.

Therefore, to maximize her total utility, Mallory should adjust her consumption of candy and cookies until the marginal utility per dollar for each good is equal, and she has spent all of her income.

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The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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Answer: 3.14 yd²

Step-by-step explanation:

The area for a circle is A=πr². Since we know the diameter, we can get our radius and solve.

r=1

A=(3.14)1²

A=3.14 yd²

Answer:

0.026 m / min.

Step-by-step explanation:

Volume V = π7^2h

V = 49πh

dV/dh = 49π

Rate that the volume is increasing is 4 m3/min.

So dV/dt = 4

dV/dt = dh/dt * dV/dh

4 = dh/dt * 49π

dh/dt = 4/49π

= 0.026 m / min.

The required height of the water increase is given as 0.026 m/min.

Given that,
A cylindrical tank with a radius of 7 m is being filled with water at a rate of 4 m3/min, how fast is the height of the water increasing is to be determined

Volume is defined as the ratio of the mass of an object to its density.

Here,
The volume of the cylinder =πr²h
Substitute the value in the above formula
Volume V = π7²h
V = 49πh
V/h = 49π  - - - - - - - (1)

Rate of the filling the tank is given,

V/t = 4
V = 4t
Substitute this in equation 1

4t / h = 49π
h / t = 0.026 m/s.

Thus, the required height of the water increase is given as 0.026 m/min.

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Answer:( -4,5)

Step-by-step explanation:

Since the radius is 6 units, I just went down 6 units from the center.

If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means is normal if populations are non normal and the sample sizes are large.

To test hypotheses about the difference between two populations means we deal with the following three cases.

1) both the populations are normal with known standard deviations.

2)both the populations are normal with unknown standard deviations.

3) both the populations are non normal in which case both the  sample sizes are necessarily large.

So, If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means is normal if populations are non normal and the sample sizes are large.

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the answer is: 1/12

simple explanation is :50/100*1/6

Answer:

D -25n-2

zbsbbwjavabwbwhvwjqv17w7wfw ggv s zg

Cutting Della's hair symbolizes her mean sacrifice and desperation to provide a Christmas gift for her husband. It is a symbol of her love and devotion to him, even in the face of poverty.

Cutting Della's hair symbolizes her selfless devotion to her husband and her willingness to make a sacrifice in order to provide a Christmas gift for him. Despite lacking the money to buy a gift, she still wanted to give him something to show her love and appreciation for him. This is why she cut off her long, beautiful hair and sold it to the hairdresser for twenty dollars in order to buy her husband a platinum watch chain. Her act of cutting her hair is a powerful symbol of her love and devotion to him, even in the face of extreme poverty. Additionally, it symbolizes her strength and resilience in the face of difficult circumstances. Her sacrifice is a reminder of how far love can go in times of hardship.

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