Derek earns commission on his sales
greater than $5,000. If he sold
$6,700 worth of goods last week,
how much commission did he earn at
a rate of 12.5%?

Answer:

Step-by-step explanation:

The free-body diagram of the information given in the question is attached in the image below.

Using the property of Vector Right Triangle:

cos θ = adjacent/hypotenuse

cos θ = 25 mi/h / 275 mi/h

cos θ = 0.0909

θ = cos⁻¹ (0.0909)

θ = 84.79°

Therefore,  the airplane should head in the direction of S 84.79° W to reach the desired location.

Answer:

I exactly don't know the answer

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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Answer: 88.5

Step-by-step explanation:

Step 1: Address the formula, input parameters & values.

Input parameters & values:

The given numbers are 82 & 95

Step 2: Find the sum of the given two numbers.

sum = 82 + 95 = 177

Step 3: Divide the sum by 2 to get the average.

average = 177/2

= 88.5

Answer:

Temporary Differences Reported First on:     The Income Statement                       The Tax Return   Revenue      Expense                       Revenue              Expense1)       $272)                          $273)                                                                $274)                                                                                            $275)     $22             $276)                         $27                               $227)     $22             $27                                                             $178)     $22             $27                               $12                        $17Taxable Income assuming pretax accounting income is $100 million1)  Pretax Income - Revenue = $100m - $27m = $73m2) Pretax Income + Expense = $100m + $27m = $127m3) Pretax Income + Revenue Return = $100m + $27m = $127m4) Pretax Income - Expense Return = $100m - $27m = $73m5) Pretax Income - Revenue + Expense = $100m - $22m + $27m = $105m6) Pretax Income + Expense + Revenue Return = $100m + $27m + $22m = $149m7) Pretax Income - Revenue + Expense - Expense Return = $100m - $22m + $27m - $17m = $88m8) Pretax Income - Revenue + Expense + Revenue Return - Expense Return = $100m - $22m + $27m + $12m- $17m = $100m

Step-by-step explanation:

First, return is added to differentiate revenue and expense from the tax return from that of the income statement.Temporary difference is defined as the difference between the tax and financial reporting bases of assets and liabilities. These differences can result in taxable or deductible amounts in future years (deferred tax assets or liabilities).For each scenario, temporal difference of revenue reported first in the income statement is deducted from the pretax accounting income while expenses are added back to the pretax accounting income.For temporal differences from the tax return, the revenue is added to the pretax accounting income while expenses are deducted.

Answer:

3,125

Step-by-step explanation:

25 out of 200 is 12.5%

and 12.5% of 25,000 is 3,125

(I'm not sure)

Answer:

1 day = 86400 seconds

565900 divided by 86400 =

Step-by-step explanation:

a little more than 6 days

plz mark brainliest

Answer:

47.1 cm

Step-by-step explanation:

The circumference of a circle is denoted by C = 2πr, where r is the radius.

Here, we see that the given radius is 7.5, so r = 7.5 cm. We also are given that we need to use the approximation 3.14 for π, so plug all these into the formula:

C = 2πr

C = 2 * 3.14 * 7.5 = 47.1

To round this to the nearest hundredth... well, there's no hundredth place, so we can leave this as is or just write 47.10 cm.

Thus, the circumference is 47.1 cm.

the sum of the series is 8/3. The series consists of reciprocals of positive integers whose only prime factors are 2s and 3s.

In other words, each term of the series can be expressed as a fraction of the form 1/n, where n is a positive integer that can be factored into only 2s and 3s. For example, the first term of the series is 1/1, the second term is 1/2, and the fourth term is 1/4.

To find the sum of the series, we can first list out the terms and their corresponding values:

1/1 = 1

1/2 = 0.5

1/3 = 0.333...

1/4 = 0.25

1/6 = 0.166...

1/8 = 0.125

1/9 = 0.111...

1/12 = 0.083...

and so on.

We can see that the terms of the series decrease in value as n increases, so we can use this fact to estimate the sum of the series. For example, we can take the sum of the first few terms to get an idea of how large the sum might be:

1 + 0.5 + 0.333... + 0.25 = 2.083...

We can see that the sum is greater than 2, but less than 3. To get a more accurate estimate, we can add a few more terms:

2.083... + 0.166... + 0.125 + 0.111... = 2.486...

We can continue adding terms in this way to get a more and more accurate estimate of the sum. However, it is not easy to find a closed-form expression for the sum of the series.

Alternatively, we can use a formula for the sum of a geometric series to find the sum of the series. A geometric series is a series of the form a + ar + ar^2 + ... + ar^n, where a is the first term and r is the common ratio between terms. In our series, the first term is 1 and the common ratio is 1/2 or 1/3, depending on whether n is even or odd. Therefore, we can split the series into two separate geometric series:

1 + 1/2 + 1/8 + 1/32 + ... = 1/(1 - 1/2) = 2

1/3 + 1/12 + 1/48 + 1/192 + ... = (1/3)/(1 - 1/2) = 2/3

The sum of the two geometric series is the sum of the original series:

2 + 2/3 = 8/3

Therefore, the sum of the series is 8/3.

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Answer:

Rows are the steps - they go left to right and are numbered 1,2,3,... Columns are the columns - they go up and down and are lettered A,B,C,... Cells are defined by the row and column they are in.

Step-by-step explanation:

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

D

Step-by-step explanation:

Answer:

0.4.

Step-by-step explanation:

2 / 5 = 4 / 10 = 40 / 100 = 40% = 0.4

Hope this helps!

9514 1404 393

Answer:

  40 in

Step-by-step explanation:

The given equation is intended to remind you that ...

  t^2 + 30^2 = 50^2

  t^2 + 900 = 2500

  t^2 = 2500 -900 = 1600

  t = √1600 = 40

The height of the tent is ...

  t = 40 in

_____

Additional comment

You may notice that the side lengths of the right triangle are in the ratio ...

  30 : 40 : 50 = 3 : 4 : 5

This (3, 4, 5) ratio is commonly seen in algebra and geometry problems. It is worthwhile learning to recognize its various forms.

Answer:

I think x = 1 and y = 1/2. For the second: x = -1 4/13 or -1.307692, y = 4 1/4 or 4.25

Step-by-step explanation:

Answer:

30.9 is your answer

Step-by-step explanation:

The probability of getting a black card and a numbered card is 9/26.

To calculate the probability of getting a black card (E1), we need to determine the number of black cards in a standard deck of 52 cards.

There are 26 black cards in total, which consist of 13 spades (black) and 13 clubs (black).

Therefore, the probability of drawing a black card (P(E1)) is:

P(E1) = Number of favorable outcomes / Total number of possible outcomes

P(E1) = 26 / 52

Simplifying this fraction, we get:

P(E1) = 1/2

So the probability of drawing a black card is 1/2.

To calculate the probability of drawing a numbered card (E2), we need to determine the number of numbered cards (2 through 10) in a standard deck.

Each suit (spades, hearts, diamonds, clubs) contains one card for each numbered value from 2 to 10, totaling 9 numbered cards per suit.

Therefore, the probability of drawing a numbered card (P(E2)) is:

P(E2) = Number of favorable outcomes / Total number of possible outcomes

P(E2) = 36 / 52

Simplifying this fraction, we get:

P(E2) = 9/13

So the probability of drawing a numbered card is 9/13.

To calculate the probability of both events occurring together (getting a black card and a numbered card), we multiply the individual probabilities:

P(E1 ∩ E2) = P(E1) × P(E2)

P(E1 ∩ E2) = (1/2) × (9/13)

Simplifying this fraction, we get:

P(E1 ∩ E2) = 9/26

Therefore, the probability of getting a black card and a numbered card is 9/26.

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Answer:

The answer is Prism T (C)

Step-by-step explanation:

R = 24

S = 25

T = 30

U = 28

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

c) Prism T has the greatest volume

Step-by-step explanation:

R: 3x8 =24

S: 5x5=25

T: 6x5=30

U:7x4=28

The number of square feet needed to cover the hole is 44ft²

To find this, we need to find the area of the green region and subtract the little square that it has inside.

Remember that for a rectangle, the area is the product between the dimensions, then the area of the green region is:

A = 12ft*4ft = 48ft²

The little square has an area:

a = 2ft*2ft = 4ft²

Then the area needed is:

area = 48ft² - 4ft² = 44ft²

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Considerando la definición de número complejo, su opuesto, conjugado y afijo, siendo z= -2-2i, se obtiene:

Los números complejos son combinaciones de números reales y números imaginarios. Su representación más común es la suma de una parte real y una parte imaginaria. Al mismo tiempo, la parte imaginaria se divide entre la parte imaginaria y la unidad imaginaria.

Esto es: z= a +bi

donde:

Dado un número complejo z = a+bi, se llama opuesto de z al número -z = -a-bi.

Esto es, el opuesto de un número complejo se calcula cambiando el signo de la parte real y de la parte imaginaria.

Dado un número complejo z = a+bi, se llama conjugado de z al número z = a-bi.

Esto es, el conjugado de un número complejo se obtiene al cambiar el signo de la parte imaginaria.

Los números complejos se representan mediante vectores. Al extremo del vector se le llama afijo del complejo. Esto es, el afijo del número complejo z=a +bi es (a,b)

Considerando las correspondientes definiciones:

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The area and perimeter of the parallelogram are: 56 square units and 30 units respectively

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The parameters that will help us do the math are

base = 7

height = 8

Area = 8*7 = 56 square units

perimeter 2b + 2h

perimeter = 2*7 + 2*8

= 14 +16

P = 30 units

Therefore, the perimeter of the parallelogram and area are 30 units and 56 square units

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The Required equilibrium solution are (400, 40) (500, 50) (600,60).

To find the equilibrium solutions and to enter answer as a list of ordered pairs (A,L), where A is the number of aphids and L the number of ladybugs.

equation is the relationship between variable and represented as y =ax+b    is example of polynomial equation.

since the equilibrium solution given by the expression

L = 10A
where A is the number of aphids and L the number of ladybugs.

And ordered pairs with equilibrium solution  of one with 400 aphids and 40 ladybugs, one with 500 aphids and 60 ladybugs and one with 600 aphids and 60 ladybugs  are (400, 40) (500, 50) (600,60).

Thus, The Required equilibrium solution are (400, 40) (500, 50) (600,60).

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The recursive formula for the given Explicit formula is a₁ = 16 and aₙ = -90aₙ₋₁  , the correct option is (c) .

In the question ,

an explicit formula for the geometric sequence is given

that is aₙ = 16(-90)ⁿ⁻¹  ,

we know that the general explicit formula for the geometric sequence is given by

aₙ = a₁(r)ⁿ⁻¹

where aₙ is the nth term , r is the common ratio, a₁ is the first term of the sequence .

On comparing the given explicit formula with the general formula ,
we get ,

a₁ = 16

r = -90

So , the recursive formula is a₁ = 16 and aₙ = -90aₙ₋₁ .

Therefore, The recursive formula for the given Explicit formula is a₁ = 16 and aₙ = -90aₙ₋₁  , the correct option is (c) .

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Answer:

Area = 113.04 m²

Step-by-step explanation:

Area of a circle:

\(\pi r^{2}\)

If we are told to use 3.14 for pi we can now make a new equation:

Area = 3.14×6²

Area = 3.14×36

Area = 113.04m²

The simplified form of the given expression as a fraction is 7x/x-7

Fractions  are written as a ratio of two integers. For instance a/b is a fraction where a and b are integers.

Given the expression below;

(1/7+1/x)/(1/49+1/x²)

Find the LCM to have:

(x+7/7x)/(x²-49)/49x²

Divide to have:

x+7/7x * 49x²/(x²-49)

(x+7) * 7x/(x+7)(x-7)

Cancel out the like terms to have:

1 * 7x/x-7

= 7x/x-7

Hence the simplified form of the given expression as a fraction is 7x/x-7

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Answer: If in a prior study, a sample of 200 people showed that 40 traveled overseas last year, then n= 385

If no estimate of the sample proportion is available , then n= 601

Step-by-step explanation:

Let p be the prior population proportion of people who traveled overseas last year.

If p is known, then required sample size = \(n=p(1-p)(\dfrac{z^*}{E})^2\)

z-value for 95% confidence = 1.96

E = 0.04  (given)

\(p=\dfrac{40}{200}=0.2\)

\(n=0.2(1-0.2)(\dfrac{1.96}{0.04})^2=384.16\approx385\)

Required sample size = 385

If p is unknown, then required sample size = \(n=0.25(\dfrac{z^*}{E})^2\)

, where E = Margin of error , z* =critical z-value.

z-value for 95% confidence = 1.96

E = 0.04  (given)

So, \(n=0.25(\dfrac{1.96}{0.04})^2=600.25\approx601\)

Required  sample size = 601.

Answer:

t = 1.2, -1.2

Using their concepts, we have that the mean will be increased and the median will remain constant.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile, which is the middle value of the distribution.

The largest value is the 7th observation, therefore it will be included in the calculation of the mean.

Since this observation have an increased value, the sum of all observations will be increased while the number of observations remains constant,

So the mean will be increased.

Hence, for a distribution of 7 observations, we have that:

The first three observations are the first half.

The 4th observation is the median.

The last three observations are the second half.

Here only the last observation changes, not the fourth, hence the median remains constant.

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equation has infinitely many solutions has the same number on both sides of the equal sign

-3x -21 + x + 5 = -20x -16

-2x -16 = -20x -16

so either you have -18x on the left or +18x in the right