Equipment accusers on January 8 at cost of $212,000 has an estimated useful life of 15 years, has an estimated residual value of $14,000, and is depreciated by the straight line method

Answers

Answer 1

Answer: To calculate the annual depreciation expense of the equipment using the straight-line method, we need to first determine the depreciable cost of the asset, which is the cost of the asset minus its estimated residual value.

Depreciable Cost = Cost of asset - Estimated Residual Value

Depreciable Cost = $212,000 - $14,000

Depreciable Cost = $198,000

Next, we can use the following formula to calculate the annual depreciation expense:

Annual Depreciation Expense = Depreciable Cost / Useful Life

Annual Depreciation Expense = $198,000 / 15 years

Annual Depreciation Expense = $13,200 per year

Therefore, the annual depreciation expense of the equipment using the straight-line method is $13,200 per year.

Step-by-step explanation:


Related Questions

Chef Lori uses 1 1/4 cup of milk for every 3/4 cup of broth in her soup recipe. This recipe will feed 4 people. Lori is making soup for a banquet that will feed 120 people. How many gallons of milk and broth combined does she need.​

Answers

Answer: To make soup for 4 people, Lori needs 1 1/4 cups of milk for every 3/4 cup of broth. Therefore, the ratio of milk to broth is:

(1 1/4 cups milk) / (3/4 cup broth) = (5/4 cups milk) / (3/4 cups broth) = (5/3) cups milk per cup of broth

To make soup for 120 people, Lori needs to multiply the ratio by 30 (120/4) to get the total amount of milk and broth needed:

(5/3 cups milk per cup of broth) * 30 = 50 cups of milk per 30 cups of broth

To convert cups to gallons, we divide by 16 (since there are 16 cups in a gallon):

50/16 = 3.125 gallons of milk

30/16 = 1.875 gallons of broth

Therefore, Lori needs a total of 3.125 + 1.875 = 5 gallons of milk and broth combined.

Step-by-step explanation:

ixl What is the surface area of this cylinder? Use ​ ≈ 3.14 and round your answer to the nearest hundredth. 15 cm 16 cm

Answers

We have to calculate the surface area of the cylinder.

It has a base diameter of 16 inches and a height of 15 inches.

The surface area will be equal to the sum of the area of the base, the area of the top (that is equal to the area of the base) and the lateral surface.

The area of the base can be calculated as:

   [tex]\text{A}_{\text{b}}=\dfrac{\pi \text{D}^2}{4}[/tex]

[tex]\text{A}_{\text{b}}=\dfrac{3.14\times16^2}{4}[/tex]

[tex]\text{A}_{\text{b}}=\dfrac{3.14\times256}{4}[/tex]

  [tex]\text{A}_{\text{b}}=200.96[/tex]

The lateral surface will be equal to the circumference of the base times the height. We then can calculate it as:

    [tex]\text{A}_\text{l}}=(\pi \text{D})\text{h}[/tex]

[tex]\text{A}_\text{l}}=3.14\times16\times15[/tex]

    [tex]\text{A}_\text{l}}=753.60[/tex]

Then, we can calculate the surface area of the cylinder as:

         [tex]\text{A}=\text{A}_\text{b}}+\text{A}_\text{l}}+\text{A}_\text{l}}[/tex]

[tex]\text{A}=200.96+200.96+753.60[/tex]

             [tex]\text{A}=1155.52[/tex]

Answer: the surface area is 1155.52 in²

Find the critical value t

Answers

The answer of the given question based on the Critical value is , , the critical value to for the confidence level c = 0.99 and sample size n = 22 is 2.819.

What is Critical value?

In statistics, the critical value is a value that is used to determine whether to reject the null hypothesis in a hypothesis test. It is based on the chosen level of significance, which is the maximum probability of making a Type I error (rejecting a true null hypothesis). The critical value is determined by the sampling distribution of the test statistic, which is often a t-statistic or z-statistic, depending on the test and the characteristics of the population being studied.

To find the critical value t for a 99% confidence level and a sample size of 22, we need to use a t-distribution table or a calculator.

Using a t-distribution table with 21 degrees of freedom (n-1), we find that the critical value for a 99% confidence level is approximately 2.819.

Therefore, critical value for confidence level c = 0.99 and sample size n = 22 is 2.819 (rounded to nearest thousandth).

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The perimeter of the given triangle is 3x² + 2 units
and its two sides are given in the figure. Find its
third side.

Answers

Step-by-step explanation:

Perimeter is the total of all three sides added together:

  2x^2 + x        +     3x^2 -3       + ?      =  3x^2 + 2      Simplify a bit on the L

     5x^2  + x  -3     + ?  = 3x^2 + 2           subtract 5x^2 from both sides

                  x-3   + ?    = - 2x^2 + 2           subtract x from both sides

                     -3  + ?   = - 2x^2 - x + 2       finally, add 3 to both sides

                            ?  = - 2x^2 -x + 5

Spring Basketball Tournament Expenses and Income Guidelines:
1. A permit for the event is required and costs $75.60. It takes 8 hours to run a tournament for 8 teams.
2. Each player will be charged a $32 entry fee.
3. There will be exactly 8 players on each team.
4. The rent for a gym in a high school is $62.50 an hour.
5. A caretaker must be present for a Saturday permit and earns $56 an hour.

Will your Spring Basketball Tournament fundraiser make money? What adjustments might you make to this tournament to ensure that it is more profitable? Show your work and explain your thinking below.

Answers

To determine if the Spring Basketball Tournament will make money, we need to calculate the expenses and income.

Expenses:
- Permit: $75.60
- Gym rental for 8 hours: $62.50/hour x 8 hours = $500
- Caretaker for 8 hours on a Saturday: $56/hour x 8 hours = $448
Total expenses: $1,023.60

Income:
- Entry fee per player: $32 x 8 players = $256 per team
- Total income for 8 teams: $256 x 8 teams = $2,048
Total income: $2,048

Profit (income minus expenses): $2,048 - $1,023.60 = $1,024.40

Based on these calculations, the Spring Basketball Tournament is projected to make a profit of $1,024.40.

To ensure that the tournament is more profitable, some adjustments that can be made include:
- Increase the entry fee per player or per team
- Invite more teams to participate
- Consider alternative and potentially cheaper locations for the tournament
- Explore sponsorship opportunities to potentially offset costs
- Encourage participants to bring their own food and drinks instead of providing it at the tournament

Overall, it is important to closely analyze expenses and income to determine the profitability of any fundraising event and make necessary adjustments to ensure success.

Is a measure of 30 inches​ "far away" from a mean of 15 ​inches? As someone with knowledge of​ statistics, you answer​ "it depends" and request the standard deviation of the underlying data.
​(a) Suppose the data come from a sample whose standard deviation is 3 inches. How many standard deviations is inches from 15 ​inches?
​(b) Is 30 inches far away from a mean of 15 ​inches?
​(c) Suppose the standard deviation of the underlying data is 10 inches. Is 30 inches far away from a mean of 15 ​inches?

Answers

Hence, 30 inches deviate by 1.5 standard deviations from the 15-inch mean as the underlying data's standard deviation is 10 inches.

what is standard deviation ?

The standard deviation of statistics is a measurement of how much a group of data values deviate from their mean (average) value. While a significant standard deviation suggests that the pieces of information are dispersed throughout a broader range of values, a low standard deviation suggests that the data points are generally close to the mean.

given

a) If the sample's standard deviation is 3 inches, then the number of standard deviations from the mean of 15 inches that are 30 inches is:

z = (30 - 15) / 3 = 5

b) The context of the data and the standard deviation will determine whether 30 inches is distant from a mean of 15 inches.

A departure of 15 inches from the mean, meanwhile, can be viewed as being significantly off the mean if the standard deviation is minimal.

c) If the underlying data's standard deviation is 10 inches, then the number of standard deviations from the mean of 15 inches that are 30 inches is:

z = (30 - 15) / 10 = 1.5

Hence, 30 inches deviate by 1.5 standard deviations from the 15-inch mean as the underlying data's standard deviation is 10 inches.

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Christine is reviewing her credit scores form the three major credit bureaus. Her experian score is 765 her equifax score is 748, and her transunion score is 758 what is Christine’s median credit score? (Round to the nearest whole point if applicable)

Answers

Answer: To find the median credit score, we need to arrange the three scores in order from lowest to highest:

748, 758, 765

The median is the middle value in this ordered list. Since there are three scores, the median is the second score, which is 758.

Therefore, Christine's median credit score is 758.

Step-by-step explanation:

Ian has a deck that measures 20 feet by 10 feet. He wants to increase each dimension by equal lengths so that its area is tripled. By how much should he increase each dimension?

Answers

Answer:

10 feet

Step-by-step explanation:

Let's start by finding the current area of the deck:

Area = length x width = 20 ft x 10 ft = 200 sq ft

If Ian increases each dimension by the same amount, let's call this amount "x", then the new dimensions of the deck will be:

Length = 20 ft + x

Width = 10 ft + x

The new area of the deck will be:

New Area = (20 ft + x) x (10 ft + x)

We know that Ian wants the new area to be triple the original area of 200 sq ft, so:

New Area = 3 x 200 sq ft

New Area = 600 sq ft

Substituting this into the equation above and solving for "x", we get:

(20 ft + x) x (10 ft + x) = 600 sq ft

200 + 30x + x^2 = 600

x^2 + 30x - 400 = 0

(x + 40) (x - 10) = 0

We discard the negative solution, and we get:

x = 10 ft

Therefore, Ian should increase each dimension by 10 feet to triple the area of his deck.

To confirm, we can check the original area of the deck which is 20 ft x 10 ft = 200 sq ft.

If Ian increases each dimension by 10 feet, the new dimensions of the deck will be 30 ft x 20 ft. The new area of the deck will be 30 ft x 20 ft = 600 sq ft. This is triple the original area of the deck (200 sq ft), which is what we wanted to achieve.

Therefore, increasing each dimension by 10 feet will triple the area of the deck as required.

Ian should increase both the sides by 10 feet each.

This is a simple mathematics problems related to the topic of mensuration.

Firstly we calculate the current area of the deck:

Area of the deck (rectangle) = l x b

Area of the deck (rectangle) = 20 x 10

Area of the deck (rectangle) =  200 square feet

Since Ian wants to triple the area of the deck, the required area is 600 square feet.

We now look at pairs of numbers multiplying which will give us 600:

(1,600) (2,300) (3,200) (4,150) (5,120) (6,100) (8,75) (10,60) (12,50) (15,40) (20,30) (25,24)

Out of the above pairs only one pair fulfils Ian's criteria to increase the length and breadth of the deck by equal measure, i.e., (20,30). So, Ian should increase the length and breadth of his deck by 10 feet each.

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Question 1 of 10 What is the area, measured in square centimeters, of the green shape pictured below? Do not include units in your answer. Icm 1cm Answer here​

Answers

21 is  the area, measured in square centimeters, of the green shape pictured below.

What is square?

Square, in geometry, a plane figure with four equal sides and four right (90°) angles. A square is a special kind of rectangle (an equilateral one) and a special kind of parallelogram (an equilateral and equiangular one).

the area of a parallelogram, we can split this shape up into a rectangle and two right triangles.

The rectangle:

The rectangle has dimensions of 4 by 3 centimeters therefore the area would be 4*3=12 cm squared

two right triangles:

The area of a triangle is 1/2 base * height, but since there are two triangles it would just be the base times the height. The base is 3 cm and the height is 3 so 3*3=9

Next, we add the two areas together: 12+9 = 21

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Find each value or measure.

x =

(40 points) will give brainiest for effort

Answers

Answer:

x = 5

Step-by-step explanation:

given FH is a diameter , then

arc FH = 180°, that is

FG + GH = 180°

103° + GH = 180° ( subtract 103° from both sides )

GH = 77°

the central angle HIG is equal to the arc that subtends it GH , so

∠ HIG = 77°

∠ EIF and ∠ HIG are vertically opposite angles and are congruent , then

∠ EIF = 77°

the arc EF subtends the central angle EIF , so

EF = 77°

the sum of the 3 arcs = 180° , that is

HD + DE + EF = 180

15 + 18x - 2 + 77 = 180

18x + 90 = 180 ( subtract 90 from both sides )

18x = 90 ( divide both sides by 18 )

x = 5

then arc DE = 18x - 2 = 18(5) - 2 = 90 - 2 = 88°

A student attempted to solve the system 5x + 2y = 10 and 10x + 2y = 1 by graphing. The graph and the conclusion are
below. What can you say about the student's work?
y
-10x + 2y = 1
5x + 2y = 10
The soluion is ().
O The solution is incorrect because the student did not correctly identify the intersection.
O The solution is correct and the lines are graphed correctly.
O The solution is correct, but the lines were graphed incorrectly.
O The solution is incorrect because the lines are not graphed correctly.

Answers

Answer:

Option A: The solution is incorrect because the student did not correctly identify the intersection.

Step-by-step explanation:

Solve by elimination method.

5x + 2y = 10; -10x + 2y = 1

Multiply the second equation by -1, then add the equations together.

(5x + 2y = 10)

-1 (-10x + 2y = 1)

Forms:

5x + 2y = 10

10x - 2y = -1

Add these equations to eliminate y.

15x = 9

Then solve 15x = 9 for x:

15x = 9

15/15 = 9/15 (Divide both sides by 15)

x = 3/5

Now that we've found x let's plug it back in to solve for y.

Write down the original equation:

5x + 2y = 10

Substitute 3/5 for x in:

5x + 2y = 10:

5(3/4)+2y=10

2y+3=10

2y+3-3=10+-3

2y=7

2y/2 = 7/2

y = 7/2

x = 3/5 and y = 7/2.

Comparing the identified answers to the one found by the students, it can be concluded that Option A: The solution is incorrect because the student did not correctly identify the intersection.

the temperature at 8 a.m. was -8.7 F. At 1 p.m. it was 9.3 F. What integer represents the change in the temperature from morning to afternoon?

Answers

The integer that represents the change in temperature from morning to afternoon is 18.

What is integer?

The group of counting numbers that can be written without a fractional component includes zero and both positive and negative integers. An integer can, as was already established, be either positive, negative, or zero.

To find the change in temperature from morning to afternoon, we need to subtract the morning temperature from the afternoon temperature:

9.3 F - (-8.7 F) = 9.3 F + 8.7 F = 18 F

Therefore, the integer that represents the change in temperature from morning to afternoon is 18.

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What is the price per cubic inch for the regular size popcorn

Answers

the price per cubic inch for the regular size popcorn is #29.85

How to determine the price?

You should understand that Price is what a buyer pays to acquire products from a seller.  It takes into account the overall value of the offering, including the value of all raw materials and service that went into making an offering, as well as its markup or margin

The popcorn has 6 faces and the area of the popcorn is given as

Area = LBH

Length

Bredth

Height

Area= 3*5*6 = 90 cm²

Therefore, Price is given as $1.99

This implies that 1.99*90 = $179.1

Therefore the price per inch is 179.1/6 = #29.85

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There is a 25% chance that a vowel is drawn from a bag of random letter tiles. what is the probability of drawing a vowel, placing it back in the bag, and then drawing a consonant

Answers

The probability of drawing a vowel, placing it back in the bag, and then drawing a consonant is 0.1875 or 18.75%.


Calculating the probability

The probability of drawing a vowel from the bag of random letter tiles is 25%. Since the tile is replaced after drawing, the probability of drawing a vowel on the second draw is also 25%.

The probability of drawing a vowel and then a consonant can be calculated by multiplying the probabilities of each event:

P(vowel and consonant) = P(vowel) x P(consonant)

= 0.25 x 0.75

= 0.1875

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Given the figure below .find X and Y to three significant digits.Write your answer in the answer box provided below

Answers

Check the picture below.

Make sure your calculator is in Degree mode.

[tex]\cos(25^o )=\cfrac{\stackrel{adjacent}{x}}{\underset{hypotenuse}{12}}\implies 12\cos(25^o)=x\implies \boxed{10.876\approx x} \\\\[-0.35em] ~\dotfill\\\\ \sin(25^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{12}}\implies 12\sin(25^o)=z \\\\[-0.35em] ~\dotfill\\\\ \sin(50^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{y}}\implies y=\cfrac{z}{\sin(50^o)}\implies y=\cfrac{12\sin(25^o)}{\sin(50^o)}\implies \boxed{y\approx 6.62}[/tex]

20. The volume of a large crate is 84 yd³. It is 23 yd wide and 4 yd high. What is the length of the crate?​

Answers

To find the length of the crate, we can use the formula for the volume of a rectangular prism:

Volume = length x width x height

We are given that the volume of the crate is 84 yd³, the width is 23 yd, and the height is 4 yd. Substituting these values into the formula, we get:

84 = length x 23 x 4

To solve for the length, we can divide both sides by 23 x 4:

84 ÷ (23 x 4) = length

Simplifying the left side of the equation, we get:

84 ÷ (23 x 4) = 0.913043478

Therefore, the length of the crate is approximately 0.913043478 times the width, or:

Length ≈ 0.913043478 x 23 yd = 21 yd (rounded to the nearest whole number)

Therefore, the length of the crate is approximately 21 yards.

Working with Actual Interest Earned
Debrorah puts $300 in a CD that earns 3.0% APR, compounded
quarterly, for 1 year. She is taxed at a rate of 20% on the interest she
earns. She takes her money out after 9 months and pays the penalty
fee of 1 quarter's interest.
Deposit
PENALTY
7. What is the total amount of interest that Deborah earns, after taxes?
Type answer here.

Answers

The account has an annual interest rate of 6.80%, compounded continuously.

What is interst rate?

Interest is the cost associated with the boring money or to return on for lending money it is typically expressed as a percent of the principal amount borrowed or lent and usually the paid periodically over the life of loan interest can also be on from investment such as saving account bonds and the other financial instrument.

The interest rate of the account can be calculated as follows:

Rate = ln(1,698.49/1,051)/(8×ln(1))

Rate = 0.0680 or 6.80%

This means that the account has an annual interest rate of 6.80%, compounded continuously.

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Bokamoso rides a bicycle to school every day (taking the same route). If she rides at 16 km/h, it takes her 45 minutes to get to school. 1. How far does Bokamoso ride on the way to school?​

Answers

5.40 km is the distance Bokamoso ride on the way to school

What is speed, distance and time?

Speed is determined by dividing the distance travelled by the time taken to travel it. It gives the amount of time it took to travel a certain distance divided by the distance travelled.

Speed is inversely correlated with time and directly correlated with distance. As a result, distance equals speed times time, and time equals distance divided by speed; as speed rises, distance travelled will shorten, and vice versa.

Bokamosa rides at 16 km / hr

To get to school = 45 min

= 45 * 0.75 hour

= 0.3375 hr

Distance = Speed * Time

d = 16 * 0.3375

= 5.40 km

Hence, 5.40 km is the distance Bokamoso ride on the way to school.

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It costs $350 to spend 4 nights at the Econo Motel. It costs $475 to spend 6 nights at the Bluebird Inn. Which of these statements is true?

Answers

Answer: A

Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.

If you horizontally…

Answers

Check the picture below.

so following the template below, a shift 2 units to the left, means C=2

[tex]G(x)=\sqrt{x+2}[/tex]

Matt can save $225 per month that he puts into a savings
account earning 5% annual interest. How much will he have
saved after 2 years?

Answers

Answer:

FV ≈ $5,673.56

Step-by-step explanation:

To calculate the total amount that Matt will have saved after 2 years of saving $225 per month at an annual interest rate of 5%, we can use the formula for the future value of an annuity:

FV = P * (((1 + r/12)^(n*12) - 1) / (r/12))

where:

FV is the future value of the annuity

P is the periodic payment (in this case, $225 per month)

r is the interest rate per year (in this case, 5%)

n is the number of years (in this case, 2)

Substituting the given values, we get:

FV = $225 * (((1 + 0.05/12)^(2*12) - 1) / (0.05/12))

Using a calculator, we get:

FV ≈ $5,673.56

Therefore, after 2 years of saving $225 per month at an annual interest rate of 5%, Matt will have saved approximately $5,673.56.

FIND THR CIRCUMFERENCE OF A CD THAT HAS A RADIUS OF 6 CENTIMETERS


___cm

Answers

Answer:

Hm

Step-by-step explanation:

The formula to find the circumference of a circle is:

Circumference = 2πr

Where "r" is the radius of the circle, and "π" (pi) is a mathematical constant approximately equal to 3.14.

Substituting the given value of radius, we get:

Circumference = 2 x π x 6

Circumference = 12π

Circumference ≈ 37.7 cm (rounded to one decimal place)

Therefore, the circumference of a CD that has a radius of 6 centimeters is approximately 37.7 cm.

The histograms display the frequency of temperatures in two different locations in a 30-day period.

A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.

A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. There is no shaded bar above 60 to 69. A shaded bar stops at 4 above 70 to 79, at 4 above 80 to 89, at 6 above 90 to 99, at 6 above 100 to 109 and at 10 above 110 to 119. The graph is titled Temps in Beach Town.

When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?

Median, because Sunny Town is symmetric
Mean, because Sunny Town is skewed
Median, because Beach Town is skewed
Mean, because Beach Town is symmetric

Answers

Answer:

Whats the question?

Step-by-step explanation:

x^2+y^2+6x+2y-6=0 what is the center of this circle? what is the radius of this circle?

Answers

Answer:

center : (-3, -1) radius : 4

f(x) = x2 + 4; interval [0, 5]; n = 5; use left endpoints

Answers

Therefore, the Left Riemann Sum for this function, interval, and number of subintervals is 50.

The left endpoint rule is what?

The top-left corner of these rectangles touched the y=f(x) curve. In other words, the value of f at the subinterval's left endpoint determined the height of the rectangle over that subinterval. This technique is called the left-endpoint estimate because of this.

With left endpoints and n = 5 subintervals, we may use the Left Riemann Sum formula to approximate the area under the curve of f(x) = x2 + 4 over the range [0, 5]:

Left Riemann Sum = ∑[i=1 to n] f(x_i-1) Δx

In this case, a = 0, b = 5, n = 5, and we will use the left endpoints, so:

Δx = (5 - 0)/5 = 1

Using the left endpoints, the subintervals and their left endpoints are:

[0,1],[1,2],[2,3],[3,4],[4,5]

[tex]so,\; x_0 = 0, x_1 = 1, x_2 = 2, x_3 = 3, x_4 = 4.[/tex]

Now we can calculate the Left Riemann Sum:

Left Riemann Sum= [tex]f(x_0)\Delta x + f(x_1)\Deltax + f(x_2)\Deltax + f(x_3)\Deltax + f(x_4)\Deltax[/tex]

= f(0)×1+f(1)×1+f(2)×1+f(3)×1 + f(4)×1

= 4+5+8+13+20

= 50

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What number increased by 3.5% of itself equals 621?

Answers

Answer:

Step-by-step explanation:

We need to find a number which increased by 3.5 of itself equals 621.

Let that number be x.

x increased by 3.5 of itself equals 621 implies x+ 3.5x = 621.

x(1+3.5) = 621

x(4.5) = 621

x = 621/4.5

x = 138

Therefore the required number is 138.

Answer: 138

Step-by-step explanation:

We need to find a number which increased by 3.5 of itself equals 621.

Let that number be x.

x increased by 3.5 of itself equals 621 implies x+ 3.5x = 621.

x(1+3.5) = 621

x(4.5) = 621

x = 621/4.5

x = 138

Therefore the required number is 138.

What are the answers to these questions?
absolute maximum is ? and it occurs at x = ?
absolute minimum is ? and it occurs at x = ?

Answers

The absolute maximum value of f(x) is 4.5 and it occurs at x = -0.5, and the absolute minimum value of f(x) is -0.241 and it occurs at x = 0.833

Calculating the absolute maximum and minumum of the function

To find the absolute maximum and minimum of the function f(x) = 4x^3 - 2x^2 - 5x + 3, we need to take the derivative of the function and set it equal to zero to find the critical points.

f(x) = 4x^3 - 2x^2 - 5x + 3

f'(x) = 12x^2 - 4x - 5

Setting f'(x) = 0, we get:

12x^2 - 4x - 5 = 0

Using the quadratic formula, we get:

x = -0.5 or x = 0.833

Now we need to check the values of f(x) at the critical points and the endpoints of the interval

f(-0.5) = 4(-0.5)^3 - 2(-0.5)^2 - 5(-0.5) + 3 = 4.5

f(0.833) = 4(0.833)^3 - 2(0.833)^2 - 5(0.833) + 3 = -0.241

So the absolute maximum it occurs at x = -0.5, and the absolute minimum occurs at x = 0.833

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Which is NOT the same as asking:
What is the logarithm of 1,296 if the base is 6?

Answers

Answer: “In the equation q^6=1,296, what is q”

Reason: log=exponent, so whenever you see a log, that means you’re solving for an exponent.

In ΔHIJ, h = 33 cm, i = 61 cm and j=39 cm. Find the area of ΔHIJ to the nearest square centimeter.

Answers

Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.

Explain about the Heron's formula:

Heron of Alexandria (c. 62 ce) is credited with developing the Heron's formula, which determines the area of a triangle in regards of the lengths of its sides. If the side lengths are represented by the symbols a, b, and c: √s(s - a)(s - b)(s - c)

where s = half the perimeter,

s = (a + b + c)/2.

given data:

In ΔHIJ,

h = 33 cm, i = 61 cm and j =39 cm.

semi -perimeter s = (i + j + h) / 2

s = (33 + 61 + 39) / 2

s = 66.5

Now,

s - h = 66.5 - 33 = 33.5

s - i = 66.5 - 61 = 5.5

s - j = 66.5 - 39 = 27.5

area of ΔHIJ = √s(s - h)(s - i)(s - j)

area of ΔHIJ = √66.5*33.5*5.5*27.5

area of ΔHIJ = √336947.1875

area of ΔHIJ = 580.47

Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.

Know more about the Heroin's formula:

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The wholesale cost of a dining room table is $1,315,80. The selling price of the table is $1,776.33. What is the markup for the table?
A 10%
B 35%
C 65%
D 90%

Answers

well, the markup is 1,776.33 - 1,315,80 = 461.33.

now, if we take 1315.80(origin amount), what is 461.33 off of it in percentage?

[tex]\begin{array}{ccll} Amount&\%\\ \cline{1-2} 1315.80 & 100\\ 461.33& x \end{array} \implies \cfrac{1315.80}{461.33}~~=~~\cfrac{100}{x} \\\\\\ 1315.8x=46133\implies x=\cfrac{46133}{1315.8}\implies x\approx 35[/tex]

I don’t know the answer I just need to answer a question so I can ask one sorry
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