identify the number in the hundreth(1/100)position 15.386
In Seattle, the tax on a property assessed at $570,000 is $12,540. If tax rates are proportional in this city, how much would the tax be on a property assessed at $460,000?
Final answer:
To find the property tax on a $460,000 property, first, find the tax rate by dividing the known tax of $12,540 by the assessed value of $570,000 to get approximately 0.022. Then multiply $460,000 by this tax rate to get an estimated tax of $10,120.
Explanation:
To calculate the property tax on a property assessed at $460,000 in Seattle, given the tax rate is proportional, we can use the tax information from another property as a reference. In this case, we know a property assessed at $570,000 has a tax of $12,540. This allows us to find the tax rate by dividing the tax amount by the assessed value of the property.
Step 1: Determine the tax rate.
Tax Rate = Tax / Assessed Value
Tax Rate = $12,540 / $570,000
Tax Rate ≈ 0.022
Step 2: Calculate the tax for the property assessed at $460,000 using the tax rate.
Tax = Assessed Value × Tax Rate
Tax = $460,000 × 0.022
Tax ≈ $10,120
Thus, the property tax on a property assessed at $460,000 would be approximately $10,120, assuming the tax rates are indeed proportional.
A rancher has 50,000 linear feet of fencing and wants to enclose a rectangular field and then divide it into four equal pastures with three internal fences parallel to one of the rectangular sides. what is the maximum area of each pasture?
Final answer:
To find the maximum area of each pasture, we can create a rectangular field and divide it into four equal pastures. By using the given linear footage of fencing, we can find the dimensions of the rectangular field and calculate the area for each pasture.
Explanation:
To find the maximum area of each pasture, we can start by creating a rectangular field using the given 50,000 linear feet of fencing. Let's consider the length of the rectangular field as 'x' and the width as 'y', with x being the longer side.
The perimeter of the rectangular field is given by 2x + y = 50,000. Since we want to divide the field into four equal pastures, we can divide the rectangular field into four equal widths, with each width being y/4.
Therefore, the area of each pasture is x * (y/4) = (x*y)/4.
To find the maximum area, we can substitute 2x + y = 50,000 into the formula for the area of each pasture. Solving for y in terms of x gives us y = 50,000 - 2x.
Substituting this value of y into the formula for the area, we get A = x * ((50,000 - 2x)/4).
To maximize the area, we can differentiate the area formula with respect to x and set it equal to zero. Solving this equation will give us the value of x that maximizes the area. Once we have that, we can substitute it back into the area formula to find the maximum area of each pasture.
Elsa is on the swim team. Each week she swims a total of 2000 meters. How many kilometers does she swim each week?
Write a number between 1 and 50 that has at least 8 factors. B.) Write the factors.
Answer:
24 has 8 factors with 1,2,3,4,6,8,12,and 24
Step-by-step explanation:
What is the greatest possible product of a 2 digit number and a 1 digit number?
A meteor crater is 4100 feet in diameter. Approximate the distance around the crater. Use 3.14 for piπ
Maggie is having the flooring replaced in her kitchen, living room, and master bedroom. The kitchen is getting slate tile. The tile cost $1.73 per-square-foot plus an installation fee per-square-foot. The area of the kitchen is 120 square feet, and the total cost for the flooring with installation comes to $740.40. The living room is getting hand-scraped hardwood flooring. The hardwood cost $4.98 per-square-foot plus an installation fee per-square-foot. The area of the living room is 200 square feet, and the total cost for the flooring with installation comes to $1,688.00. The master bedroom is getting berber carpet. The carpet cost $2.48 per-square-foot plus an installation fee per-square-foot. The area of the master bedroom is 180 square feet, and the total cost for the flooring with installation comes to $928.80. Place the flooring type in order from the least amount to the greatest amount of cost to install per-square-foot.
If you need to cut 5 pieces of glass from a 14 feet length, how long should each piece be?
14 / 5 = 2.8 feet each
2.8 feet = 2 feet 9.6 inches
2 feet 9 3/5 inches
A bag of marbles contains 5 red, 3 blue, 2 green, and 2 yellow marbles.What is the probability that you choose a blue marble and then another blue marble, assuming you replace the first marble?
The probability of drawing a blue marble and then another blue marble from a bag, with replacement of the first marble, is calculated by multiplying the probability of the first event by the probability of the second event since the first event's outcome does not change the conditions for the second draw. In this case, the probability is 1/16.
The question involves calculating the probability of drawing two blue marbles consecutively from a bag, with replacement of the first marble before drawing the second one. To find this probability, we calculate the chance of drawing a blue marble twice, taking into account that the composition of the bag remains the same after the first draw due to replacement.
The total number of marbles is 5 red + 3 blue + 2 green + 2 yellow = 12 marbles. The probability of drawing a blue marble is the number of blue marbles divided by the total number of marbles, which is 3/12 or 1/4. Since the first marble is replaced, the probabilities remain the same for the second draw. Therefore, the probability of drawing a blue marble on the second draw is also 1/4.
To find the combined probability of both events happening in succession, we multiply the probabilities of each individual event: (1/4) * (1/4) = 1/16. Thus, the probability of drawing a blue marble and then another blue marble, with replacement, is 1/16.
a ramp has a height of 3 foot and a base of 12 feet what is the angle of elevation
A summer baseball league is creating teams of 25 players each from a group of 265 players. How many players will be left over after the teams of 25 players are created?
A. 10
B. 11
C. 15
D. 250
Margo borrows $1900, agreeing to pay it back with 6% annual interest after 13 months. How much interest will she pay?
Clara's suitcase weighs 58 1/4 pounds, but the airline's weight limit for suitcases is 50 pounds. How much weight does she need to remove from her suitcase?
Clara needs to remove 8 1/4 pounds from her suitcase to meet the airline's weight limit.
To find out how much weight Clara needs to remove from her suitcase, we subtract the airline's weight limit from the weight of her suitcase.
First, let's convert 58 1/4 pounds to a proper fraction:
[tex]\[ 58 \frac{1}{4} = \frac{58 \times 4 + 1}{4} = \frac{232 + 1}{4} = \frac{233}{4} \][/tex]
Now, let's subtract the airline's weight limit from Clara's suitcase weight:
[tex]\[ \text{Excess weight} = \frac{233}{4} - 50 \][/tex]
To subtract fractions, we need a common denominator:
[tex]\[ \text{Excess weight} = \frac{233}{4} - \frac{200}{4} \][/tex]
[tex]\[ \text{Excess weight} = \frac{233 - 200}{4} \][/tex]
[tex]\[ \text{Excess weight} = \frac{33}{4} \][/tex]
Now, let's convert this back to a mixed number:
[tex]\[ \text{Excess weight} = 8 \frac{1}{4} \text{ pounds} \][/tex]
So, Clara needs to remove 8 1/4 pounds from her suitcase to meet the airline's weight limit.
A Chinese restaurant offers buffet takeout for $4.99 per pound. How much does your takeout meal cost?
Answer:
1.99
Step-by-step explanation:
A car travels down a highway at 25 m/s. An observer stands 100m from the highway.
a) How fast is the distance from the observer to the car increasing when the car passes in front of the observer?
(Use decimal notation.)
The rate is =
(b) How fast is the distance increasing 10s later?
(Use decimal notation. Give your answer to three decimal places.)
The rate is =
The rate at which the distance from the observer to the car is increasing is 25 m/s, both when the car passes in front of the observer and 10 seconds later.
Explanation:To find the rate at which the distance from the observer to the car is increasing, we need to use the concept of relative velocity. When the car passes in front of the observer, its velocity is perpendicular to the line connecting the observer and the car. Therefore, the rate at which the distance is increasing is equal to the speed of the car. In this case, the rate is 25 m/s.
To find how fast the distance is increasing 10 seconds later, we need to consider the fact that the car is still moving at a constant velocity of 25 m/s. Therefore, the rate at which the distance is increasing remains the same. So, the rate is still 25 m/s.
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When creating a bar graph to represent data, the researcher used a scale that was too small. The outcome was a graph that appeared to show very little variation. This is a classic example of an error in which phase of inferential statistics? A.data gathering B.data organization C.data analysis D.probability-based inference
The error in using a scale that is too small on a bar graph falls under the data organization phase. This phase involves selecting a scale that accurately represents data without distorting trends or variations.
Explanation:When creating a bar graph to represent data, if the researcher uses a scale that is too small, resulting in a graph that shows very little variation, it is likely an error in the data organization phase. This is because choosing an appropriate scale is a key part of the process of organizing data for visualization. A scale that's too small can compress the data too much and fail to show important differences between data points, while a scale that's too large can exaggerate these differences. In a well-organized graph, the scale should be such that it both accurately represents all the data and makes it easy to identify trends and variations.
It is important to be skeptical of graphs and understand that data organization can have a significant impact on how the information is perceived. A graph is a single visual perspective, and therefore, it is crucial that the scale used does not distort the underlying relationship it is intended to represent. When organizing data in a graph, it's essential to select a scale that neither overshadows nor exaggerates the significant figures and trends of the data points.
Using a scale that is too small in a bar graph is an error in the data organization phase of inferential statistics.
Explanation:The error of using a scale that is too small and resulting in a bar graph that shows very little variation is a classic example of an error in data representation, which falls under the phase of in inferential statistics.
If the maximum of 63 years is accidentally recorded as 630 years, how will this affect the mean?
Which symbol makes the following statement true? 413,115 431,511
License plates in a particular state display 2 letters followed by 3 numbers. How many different license plates can be manufactured for this state?
In Mathematics, to calculate the number of different license plates with 2 letters followed by 3 numbers, multiply the possibilities for each position: 26 × 26 for letters and 10 × 10 × 10 for numbers to get 676,000 different license plates.
Explanation:The question pertains to the concept of permutations and combinations in Mathematics, specifically calculating the number of different license plates that can be manufactured when the format is two letters followed by three numbers. The number of possible license plates is found by multiplying the number of options for each component. For the letters, there are 26 possible choices for each of the two letter positions (assuming the English alphabet is used and letters can be repeated). For the numbers, there are 10 possible choices for each of the three number positions (using digits 0-9).
To calculate the total number of different license plates, we multiply the possibilities for each part: 26 × 26 × 10 × 10 × 10 = 676,000 different license plates. This calculation is known as the Rule of Product in combinatorics, which states that if one event can occur in 'm' ways and a subsequent event can occur in 'n' ways, then the total number of ways the two events can occur is m × n.
To determine the number of different license plates, multiply the number of alphabetic combinations (26 for each of the 2 letters) by the numeric combinations (10 for each of the 3 numbers), resulting in 676,000 possible plates.
Explanation:The question is asking us to calculate the number of different license plates that can be manufactured with a specific format, which is 2 letters followed by 3 numbers. To solve this, we will assume there are 26 possibilities for each letter (A through Z) and 10 possibilities for each number (0 through 9).
For the two letters at the start, since both positions can hold any of the 26 letters in the alphabet, the total number of combinations for the two letters is 26 × 26.
For the three numbers following, each position can hold any digit from 0 to 9, giving us 10 × 10 × 10 combinations for the numbers.
To find the total number of different license plates, we multiply the number of possibilities for the letters by the number of possibilities for the numbers:
Total license plates = 26 × 26 × 10 × 10 × 10 = 676,000.
Therefore, there can be 676,000 different license plates manufactured for this state with the given format.
Consider the expression 3 * 2 ^ 2 < 16 + 5 andalso 100 / 10 * 2 > 15 - 3. which operation is performed second
HELP PLSSSSS Triangle ABC is an equilateral triangle. The angle bisectors and the perpendicular bisectors meet at D in such a way that CD = 2DE.
The radius of the inscribed circle is____
units, and the radius of the circumscribed circle is___
units.
Answer: For clarification, the answer is 2.9 for the first one and the second is 5.8
Step-by-step explanation: They are correct for PLATO users I got them right.
3.24 repeating as a mixed number in simplest form
A repeating mixed number is a mixed fraction, which after converted to decimal; the numbers after the decimal point repeat without end.
3.23 as a repeating mixed number is [tex]3\frac{23}{99}[/tex]
Given that
[tex]Number = 3.24[/tex]
First, we represent as a fraction
[tex]Number = \frac{324}{100}[/tex]
To represent the number as a repeating mixed number, we simply subtract 1 from the numerator
[tex]Number = \frac{324}{100 - 1}[/tex]
[tex]Number = \frac{324}{99}[/tex]
Represent as a mixed number
[tex]Number = 3\frac{23}{99}[/tex]
Hence, 1.12 as a repeating mixed number is [tex]3\frac{23}{99}[/tex]
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Dave rented a limousine for his wife's birthday. The hourly rate is $60. They used the limousine for 4 hours, plus Dave gave the driver a 10% tip. How much did he spend in total for the hourly charges plus tip?
write an expression that shows how to multiply 4 x 362 using place value and expanded form.
To multiply 4 x 362 using place value and expanded form, first expand 362 to (300 + 60 + 2). Then multiply 4 with each value, resulting in 1200, 240, and 8. The sum of these results gives the final answer, 1448.
Explanation:The multiplication expression of 4 x 362 using expanded form and place value can be represented as follows:
Firstly, write 362 in its expanded form. You can express it as (300 + 60 + 2).Then, multiply 4 by each number of the expanded form of 362. The operation would be: 4 x 300 = 1200, 4 x 60 = 240, and 4 x 2 = 8.Finally, add all the resulting numbers together to get the final answer. The operation would be 1200 + 240 + 8 = 1448.
So, 4 multiplied by 362 using place value and expanded form equals to 1448.
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Which colonial power's policy was based on assimilation of native peoples?
Solve The Following Question:
5/13t = -9
5/13t=-9
to find t divide both sides by 5/13
t = -9 / 5/13=
-117 /5 =-23.4
t = -23.4
find the next three terms in the geometric sequence: 2, 4, 8, 16
Simplify 3(4x + 6) - 9x.
-15x + 18
3x + 18
3x + 6
12x + 18 - 9x
The expression 3(4x + 6) - 9x simplifies to 3x + 18 by distributing the 3 and then combining like terms.
To simplify the expression 3(4x + 6) - 9x, we need to follow the steps of distribution and then combine like terms.
First, distribute the 3 into the parentheses: 3 * 4x is 12x and 3 * 6 is 18, giving us 12x + 18.Next, subtract the 9x from 12x: 12x - 9x equals 3x.Combine the result with the 18, to end up with the simplified expression 3x + 18.Therefore, the simplified form of 3(4x + 6) - 9x is 3x + 18.
Tommy can exchange 8 euros for 11 dollars.
At this rate, how many dollars can Tommy get with 12 euros?
Tommy would be able to get $16.50.
The first step would be to find out the number of dollars you need to exchange for a single Euro.
If 8 Euros go for $11, one Euro would be:
= Amount of dollars / Amount of Euros
= 11 / 8
= $1.375 per Euro
For 12 Euros therefore, the number of dollars Tommy would get is:
= Amount of Euros x conversion factor
= 1.375 x 12
= $16.50
In conclusion, Tommy would get $16.50.
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