A division of a company produces income tax apps for smartphones. Each income tax app sells for $8. The monthly fixed costs incurred by the division are $20,000, and the variable cost of producing each income tax app is $3.

Answer:

the required answer are -8,0,4

There are 15 spiders in the backyard. The correct option is D

Let's begin by resolving the issue using algebra. Let's use "s" for the quantity of spiders and "d" for the quantity of dogs in the backyard.

As a result of the difficulty, we know that there are 3 times as many animals as there are spiders.

s + d = 3s

Simplifying this equation, we get:

d = 2s

We also know that there are 240 legs in the backyard, with each dog having 4  legs and each spider having 8. Thus, we can create the following equation:

8s + 4d = 240

Substituting d = 2s, we get:

8s + 4(2s) = 240

Simplifying and solving for s, we get:

16s = 240

s = 15

Therefore, there are 15 spiders in the backyard.

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Answer: should be 24?

Step-by-step explanation:

im not sure

The solution of missing sides and angle  is:  A = 60°, B = 34.8°, C = 85.2°  a = 4, b = 5, c = √21

Trigonometric functions are used to obtain unknown angles and distances from known or measured angles in geometric drawings.

Basics of Trigonometry deals with measuring angles and problems related to angles. There are six basic trigonometric ratios: sine, cosine, tangent, cosecant, secant, and cotangent. All  important trigonometric concepts  are based on these trigonometric relationships or functions.

Solving a triangle means determining all  its angles and sides. In this case, we are given angle A and sides a and b, and we want to find the remaining angles and sides.

First, we can use the law of cosines c to find the third side:

c² = a²+ b² - 2ab cos(A)

c² = 4² + 5² – 2(4)(5) cos(60)

c² = 16 + 25 - 40 cos (60)

c² = 41-20

c² = 21

c = √21

Now that we have all three sides, we can use the law of cosines to find the remaining angles:

cos(B) = (a²+ c² – b²) / (2ac)

cos(B) = (4²  +(√21)² – 5²) / (2(4) (√21))

cos(B) = (16 + 21 - 25) / (8√21)

cos(B) = 12 / (8√21)

B = cos⁻¹ (12 / (8√21))

cos(C) = (a²+ b² – c²) / (2ab)

cos(C) = (4² + 5² – (√21)²) / (2(4)(5))

cos(C) = (16 + 25 - 21) / 40

cos(C) = 20/40

C = cos⁻¹ (20/40)

Simplifying  trigonometric functions:

B ≈ 34.8°

C = 85.2°

Therefore, the solution is:

A = 60°, B = 34.8°, C = 85.2°

a = 4, b = 5, c = √21

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The expressions are solved to give;

1.n = 1

2. h = 1

3. x = -5

4. n = 1/4

5. x = 7/2

6. p = 2/3

7. x = -12

8. n = 3

9. c = -1

10. x = 6

These are expressions that are made up of term, variables, constants, factors and coefficients.

They are also made up of mathematical operations.

From the information given, we have;

1. 5n + n = 2n + 4

collect and add the like terms

4n = 4

Make n subject

n = 1

2. 5h + 2 = h - 2

collect and add the like terms

4h = 4

h = 1

3. 2x - 1 = 3x + 4

collect and add or subtract the like terms

-x = 5

x = -5

4. n = n + 1/5

cross multiply

4n = 1, n = 1/4

5. x + 5 = 3x - 2

collect like terms

-2x = -7

x = 7/2

6. p = p + 2/4

cross multiply

3p = 2

p = 2/3

7. 4(2 + x) = 3x - 4

expand the bracket

8 + 4x = 3x - 4

collect like term

x = -12

8. 5n + 2 = 3n + 4

collect like terms

n = 3

9. 3c - 2 = -3c - 8

collect like terms

6c = - 6

c = -1

10. 3x + 1 = 2x - 5

collect the like terms

x = 6

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Answer:

1,607 plus the amount of people multipled by 1.15

Step-by-step explanation:

2 fog machines = $80

1 sound equipment = $165

1 disco ball = $45

80+165+45+855+462= $1,607

Answer:

30508

Step-by-step explanation:

5800(1+0.052)^5

Answer:

no

Step-by-step explanation:

-5/3x+10=5

-5/3x=5-10=-5

3x=-5/-5=1

=>x=1/3

The polar form of the rectangular coordinates (-√√2, -√2) is (2√(1 + √2), 15π/28)

To convert the rectangular coordinates (-√√2, -√2) into polar form, we first need to find the value of r (the radius) and θ (the angle).

r = √((-√√2)^2 + (-√2)^2) = √(2 + 2√2) = 2√(1 + √2)

To find the value of θ, we can use the following formula:

θ = atan(y/x)

where atan is the inverse tangent function, and (x, y) are the rectangular coordinates.

θ = atan(-√2/(-√√2)) = atan(√2) = π/4 radians

However, we need to express the angle in terms of 7 over the interval 0 ≤ θ < 2π/7, with a positive value of r.

To do this, we can add a multiple of 2π/7 to the value of θ until we get an angle in the desired interval.

θ = π/4 + 2π/7 = (7π + 8π)/28 = 15π/28 radians

So the polar form of the rectangular coordinates (-√√2, -√2) is:

(2√(1 + √2), 15π/28)

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The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60

(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.

Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200

Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments

Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]

Total amount paid = $1,300 + $13,200 + $14,041.60

Total amount paid = $28,541.60

Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.

(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.

Total interest paid = Total amount paid - Total amount borrowed - Down payment

Total interest paid = $28,541.60 - $13,200 - $1,300

Total interest paid = $14,041.60

Therefore, the amount of interest Debra paid on the loan was $14,041.60.

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Answer:

To improve my math skills, I plan on doing the following:

1. Practice, practice, practice: I will practice math problems regularly, starting with simple problems and gradually increasing the difficulty level.

2. Use online resources: There are many online resources available that provide tutorials, practice problems, and videos to help with math skills. I will utilize these resources to supplement my learning.

3. Work with a tutor: I will consider working with a tutor if I need additional help with math concepts or if I'm struggling with specific problems.

4. Study regularly: I will set aside time each day to study math, even if it's just for a few minutes.

5. Ask questions: I will ask my teacher or tutor for help if I don't understand a concept or if I'm struggling with a problem.

6. Stay positive: I will maintain a positive attitude towards math and believe in my ability to improve my skills.

By following these steps, I'm confident that I can improve my math skills and become more confident in my abilities.

Answer:

"My plan for improving my math skills is to focus more on understanding and going over new concepts and practice problems. I also will try studying math concepts online and using a method of solving extra problems and applying math in the real world to better understand."

Step-by-step explanation:

Answer:

1,200

Step-by-step explanation:

The formula is Length x Width x Height so it will be 20 x 5 x 12 and you get 1,200.

Hope this helps!

The locations of the angles in the right triangle, and the number pairs indicates that we get;

A right triangle is a triangle that has one 90° interior angle.

1. The three similar triangles are; ΔMKJ, ΔMLK, and ΔKLJ

2. The three similar triangles are; ΔXZW, ΔXYZ, ΔZYW

3. The area of the triangle is; (1/2) × 8 × 6 = 24, which indicates;

(1/2) × 10 × x = 24

x = 24/((1/2) × 10) = 4.8

x = 4.8

4. The area of the triangle is; (1/2) × 21 × 20 = 210, which indicates;

(1/2) × 29 × x = 210

x = 210/((1/2) × 29) = 420/29 = 14 14/29

x = 14 14/29

5. The area of the triangle is; (1/2) × 20 × 48 = 480, which indicates;

(1/2) × 52 × x = 480

x = 480/((1/2) × 52) = 240/13 = 18 6/13

x = 18 6/13

6. The area of the triangle is; (1/2) × 13.2 × 22.4 = 147.84, which indicates;

(1/2) × 26 × x = 147.84

x = 147.84/((1/2) × 26) = 3696/325 = 11 121/325

x = 11 121/325

The geometric mean of a pair of numbers can be obtained as follows;

7. The geometric mean is; √(16 × 27) = √(432)

√(432) = 12·√3

8. The geometric mean is; √(5 × 36) = √(180)

√(180) = 6·√5

9. The geometric mean of the number is; √(24 × 32) = √(768)

√(768) = 16·√3

10. The geometric mean of the numbers is; √(8 × 48) = √(384)

√(384) = 8·√6

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Given:

[tex]\sqrt{z+5}+4\leq 13[/tex]

Move 4 to the right side:

[tex]\sqrt{z+5}\leq 9[/tex]

Simplify

[tex]z+5 \leq 81[/tex]

Move 5 to the right side:

[tex]z\leq 76[/tex]

Find singularity points

Find non-negative values for radicals:  [tex]z\geq -5[/tex]

Combine the intervals

[tex]z\leq 76 \ \text{and} \ z\geq -5[/tex]

Merge overlapping intervals

[tex]-5\leq z\leq 76[/tex]

Answer:

Therefore , the solution of the given problem of percentage comes out to be  14 gallons of the first brand and 56 gallons of the second brand must be utilised.

In statistics, a figure or metric than may be presented as a percentage or 100 is denoted by the abbreviation "a%". Another unusual spelling is "pct," "pct," and "pc." The percent symbol ("%") is the method that is most usually used for this. Additionally, there are no indications or predetermined ratios of any component to the whole. Numbers are effectively integers since they frequently add up to 100.

Here,

Let's write "x" for the first brand's (35% pure antifreeze) number of gallons and "y" for the second brand's (60% pure antifreeze) number of gallons.

Given:

70 gallons of mixture are required in total.

Desired antifreeze content in the combination is 55%

Based on the information provided, we can construct the following system of equations:

=> Equation 1: x + y = 70

=> Equation 2: 0.5*70 = 0.55x + 0.60y

=> x = 70 - y

=> 0.35(70 - y) + 0.60y = 0.55 * 70

=> 24.5 - 0.35y + 0.60y = 38.5

=> 0.25y = 14

=> y = 56

=> x = 70 - 56

=> x = 14

In order to get 70 gallons of a mixture that contains 55% pure antifreeze, 14 gallons of the first brand and 56 gallons of the second brand must be utilised.

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The method you would use to prove the two triangles are congruent include the following: B. ASA.

In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of corresponding sides are proportional to the  lengths of corresponding altitudes when two (2) triangles are similar.

In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

you did not provide enough information to answer the question

Therefore , the solution of the given problem of expression comes out to be 6.5 is the abbreviated numerical expression.

Shifting numbers, which can be expanding, variable diminishing, or blocking, should be used instead of random estimations. Only through exchanging goods like tools, expertise, or answers to problems could they assist one another. The explanation on the reality equation may include the justifications, elements, or mathematical claims for tactics like increased argumentation, falsification, and blending.

Here,

The mathematical expression is expressed as follows:

=> 42 / 7 + (3 / 6)

We can use the division operations to make the expression simpler:

=> 7 /42 = 6

=> 6 / 3 = 0.5.

The statement is thus more easily expressed as follows:

=> 6 + 0.5

When we add the two numbers, we get:

=> 6.5

Therefore, 6.5 is the abbreviated numerical expression.

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The complete question is " Write and simplify this numerical expression. Forty-two divided by seven plus the quantity three divided by six"

the correct response to the question is: Yes, No, Yes, No and Yes.

We can determine if each set of numbers can be the lengths of the sides of a right triangle by evaluating each set.

Evaluating each set :

#1 :

5, 12, 13

5² + 12² = 13²

25 + 144 = 169

169 = 169

It is a Yes

#2 :

12, 35, 20

12² + 35² = (20√3)²

144 + 1225 = 400*3

1369 ≠ 1200

It is a No

#3 :

5, 10, 5√5

5² + 10² = (5√5)²

25 + 100 = 25(5)

125 = 125

It is a Yes

#4 :

8, 12, 15

8² + 12² = 15²

64 + 144 = 225

208 ≠ 225

It is a No

#5 :

20, 99, 101

20² + 99² = 101²

400 + 9801 = 10201

10201 = 10201

It is a Yes

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The question lacks some details, see complete question in the attached image.

The equation for the orange graph is the one in the last option:

f(x) = -3x³

We can see that the orange graph seems to be:

From the given options, the only one that matches all these options is the last one:

f(x) = -3x³

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None of the answer choices match this result exactly, but the closest option is (a) $363.75, which is only off by a small amount due to rounding.

what is rounding ?

Rounding is a mathematical process of approximating a number to a specified degree of accuracy. It involves replacing a number with a simpler, but close value that is easier to work with or understand.

In the given question,

The question asks us to find the annual premium for a $75,000 10-year term policy for a 25-year-old male, using the table of annual life insurance premiums per $1,000 of face value.

First, we need to find the premium per $1,000 face value for a 10-year term policy for a 25-year-old male. Looking at the table, we can see that the premium for a 10-year term policy for a 25-year-old male is $4.79 per $1,000 face value.

To find the annual premium for a $75,000 policy, we need to multiply the premium per $1,000 face value by 75. So:

Annual premium = $4.79 per $1,000 x 75 = $359.25

Rounding this answer to the nearest cent gives us:

$359.25 ≈ $359.26

Therefore, the annual premium for a $75,000 10-year term policy for a 25-year-old male is $359.26.

None of the answer choices match this result exactly, but the closest option is (a) $363.75, which is only off by a small amount due to rounding.

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The angles of △ABC are approximately:

A ≈ 36.1 degrees

B ≈ 55.9 degrees

C ≈ 101.3 degrees

To find the angles of △ABC, we can use the Law of Cosines, which states that:

c^2 = a^2 + b^2 - 2ab*cos(C)

where C is the angle opposite the side c.

Using the given values, we can substitute and solve for cos(C):

18^2 = 11^2 + 20^2 - 2(11)(20)cos(C)

324 = 441 + 400 - 440cos(C)

cos(C) = -17/440

C ≈ 101.3 degrees

We can now use the Law of Sines to find the other angles:

sin(A)/a = sin(C)/c

sin(A)/11 = sin(101.3)/18

sin(A) ≈ 0.593

A ≈ 36.1 degrees

sin(B)/b = sin(C)/c

sin(B)/20 = sin(101.3)/18

sin(B) ≈ 0.820

B ≈ 55.9 degrees

Therefore, the angles of △ABC are approximately:

A ≈ 36.1 degrees

B ≈ 55.9 degrees

C ≈ 101.3 degrees

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The ceiling function, denoted by ⌈x⌉, gives the smallest integer that is greater than or equal to x. Therefore, ⌈-0.75⌉ is the smallest integer that is greater than or equal to -0.75.

Since -1 is the smallest integer that is greater than or equal to -0.75, we have:

⌈-0.75⌉ = -1

Therefore, the functional value for the ceiling function at -0.75 is -1.

The answer is option A.

Answer: median

Step-by-step explanation:

A is not a center of measure and nethier ia mode and since the data is skewd it is the median and if it is not skewd it is the mean

Answer: i think its 366

Step-by-step explanation:

i just did 61X6

It would take about 402.985 gallons of water to fill the fish tank completely.

To calculate the number of gallons of water it would take to fill the fish tank completely, we need to multiply the dimensions of the fish tank in cubic feet by the conversion factor to convert cubic feet to gallons.

Given:

Length = 9 ft

Width = 2 ft

Height = 3 ft

Conversion factor: 1 gallon = 0.134 ft³

Step 1: Calculate the volume of the fish tank in cubic feet

Volume = Length × Width × Height = 9 ft × 2 ft × 3 ft = 54 ft³

Step 2: Convert cubic feet to gallons

54 ft³ × (1 gallon / 0.134 ft³) ≈ 402.985 gallons

So, it would take approximately 402.985 gallons of water to fill the fish tank completely.

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The average number of hours worked in the previous week for adults in the country is likely to be between 38.4 and 43.5 hours.

Based on the survey results of 1500 adults, we can be 95% confident that the true mean number of hours worked in the previous week for the entire population of the country lies between 38.4 hours and 43.5 hours.

This means that if we were to repeat this survey multiple times, 95% of the time the sample mean would fall within this range. Therefore, we can conclude that the average number of hours worked in the previous week for adults in the country is likely to be between 38.4 and 43.5 hours.

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Answer:

[tex]\frac{8}{10}[/tex]

Step-by-step explanation:

[tex]cos(A) = \frac{adjacent}{hypotenuse} \\= \frac{AB}{AC}\\= \frac{8}{10}[/tex]

Answer:

Answer:

\frac{8}{10}

10

8

Step-by-step explanation:

\begin{gathered}cos(A) = \frac{adjacent}{hypotenuse} \\= \frac{AB}{AC}\\= \frac{8}{10}\end{gathered}

cos(A)=

hypotenuse

adjacent

=

AC

AB

=

10

8

Answer:

It Does. Cool

Answer:

c.) silver bikes

Step-by-step explanation:

Given the bike shop has 11 red bikes, 3 blue bikes, 12 silver bikes

here, the number orange bikes = 4

Given for every 1 orange bike there 3 __ bikes

Divide each number of bikes by the number of orange bikes  

For 11 red bikes

= 11/4 = 2.75    [which means for 1 orange bike 2.75 red bikes ]

For 3 blue bikes

= 3/4 = 0.75    [ which means for 1 orange bike 0.75 blue bikes ]

For 12 silver bikes

= 12/4 = 3        [ which means for 1 orange bike 3 silver bikes ]

For every 1 orange bike, there are 3  silver bikes.