Final answer:
The approximate monthly percent decrease in value is 0.67%.
Explanation:
To find the approximate monthly percent decrease in value, we need to first calculate the annual percent decrease. We know that the boat loses 8% of its value every year. So, the annual percent decrease is 8%.
To find the monthly percent decrease, we need to divide the annual percent decrease by 12 (since there are 12 months in a year).
Therefore, the approximate monthly percent decrease in value is 0.67%.
Final answer:
The approximate monthly percent decrease in value of the boat that depreciates at 8% annually is 0.65% when rounded to the nearest hundredth of a percent.
Explanation:
To find the monthly percent decrease in value of a boat that costs $23,400 and depreciates 8% annually, we need to calculate the equivalent monthly rate. The formula for monthly depreciation is (1 - (1 - annual depreciation rate)^(1/12)). In this case, the annual depreciation rate is 0.08 for 8%. Applying the formula, we get:
Monthly depreciation = 1 - (1 - 0.08)^(1/12) = 1 - (0.92)^(1/12)
= 1 - (0.92)^(0.08333...)
= 1 - 0.99347... (value calculated using a calculator)
= 0.00653... or 0.653% (after converting to a percentage).
To round to the nearest hundredth of a percent, we get approximately 0.65% monthly depreciation. This is the approximate monthly percent decrease in the boat's value.
last summer Marion was three and a half feet tall she was 4 inches taller than her brother Elijah she was one in a quarter feet shorter than her sister Lori how tall were Elijah and Lori Last Summer
Kim rode her bicycle 135 miles in 9 weeks riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, riding the same distance each week. Which statement correctly compares the number of miles per week they rode?
A.) Eric rode 2 more miles per week than Kim rode
B.)Kim rode 3 more miles per week than Erick rode
C.) Kim rode 11 more miles per week than Erick rode
D.) Eric rode 17 more miles per week than Kim rode
Answer:
The answer is the option A
Eric rode [tex]2[/tex] more miles per week than Kim rode
Step-by-step explanation:
Step 1
Find the number of miles that Kim rode per week
Divide the total miles by the total weeks
so
[tex]\frac{135}{9}\frac{miles}{weeks}= 15\frac{miles}{week}[/tex]
Step 2
Find the number of miles that Eric rode per week
Divide the total miles by the total weeks
so
[tex]\frac{102}{6}\frac{miles}{weeks}= 17\frac{miles}{week}[/tex]
Step 3
Compare the unit rates
Kim [tex]15\frac{miles}{week}[/tex]
Eric [tex]17\frac{miles}{week}[/tex]
[tex]17\frac{miles}{week}-15\frac{miles}{week}=2\frac{miles}{week}[/tex]
so
Eric rode [tex]2[/tex] more miles per week than Kim rode
4n-3=-2n+9 What is the value of the variable 'n'?
Using the relation in Part B, what is the value of x if f(x) = 99?
)The table below shows a correct representation that 16 pounds (lb) of sugar cost $4: lb lb lb lb lb lb lb lb lb lb lb lb lb lb lb lb $1 $1 $1 $1
true or faulse?
Answer:
it is true
Step-by-step explanation:
Choosing a graph to fit a narrative ^^
The Lee’s spend $31 on movies tickets for 2 adult and 3 children. The Smith’s spent $26 on movie tickets for 2 adults and 2 children. What are the prices for an adult and child movie ticket?
In which quadrant is the point (0,7) located? Explain your answer.
xfinity cable charges $60 set up fee and $80 a month for cable. direct tv has. a $160 equipment fee and $79 a month for cable services. How many months will it take before the cost is the same? What is that cost?
The correct answer is 100 months, 8060$,
To solve this problem, we need to find the point where the total cost of Xfinity cable and Direct TV cable services become equal, and then calculate the corresponding cost at that point.
Given:
- Xfinity cable charges a [tex]$60[/tex] setup fee and [tex]$80[/tex] per month.
- Direct TV charges a [tex]$160[/tex] equipment fee and [tex]$79[/tex] per month.
Let's define the total cost functions for both cable services:
Xfinity cable total cost ([tex]C_x[/tex]) after x months:
[tex]C_x = 60 + 80x[/tex]
Direct TV total cost ([tex]C_d[/tex]) after x months:
[tex]C_d = 160 + 79x[/tex]
To find the point where the total costs are equal, we set the two equations equal to each other and solve for x:
[tex]60 + 80x = 160 + 79x[/tex]
[tex]x = 100[/tex]
Substituting x = 100 into either equation, we can find the total cost at that point:
[tex]C_x = 60 + 80(100) = 8060[/tex]
[tex]C_d = 160 + 79(100) = 8060[/tex]
Therefore, after 100 months, the total cost of both cable services will be the same at [tex]$8060[/tex].
What are the domain and range of the function on the graph
Which statements are correct steps in finding the linear equation of a line that passes through the points (−1, 7) and (2, 4) using the point-slope form method? Select all that apply.
Answer:
y – 4 = –1 (x – 2)
y – 7 = –1 (x – (–1))
y = –x + 6
Step-by-step explanation:
To find the linear equation using the point-slope form method, determine the slope and substitute the coordinates into the formula.
Explanation:To find the linear equation of a line that passes through the points (-1, 7) and (2, 4) using the point-slope form method, follow these steps:
Determine the slope using the formula: slope = (y2 - y1) / (x2 - x1)Choose one of the given points and substitute the coordinates into the point-slope formula: y - y1 = m(x - x1)Simplify the equation to get the linear equation in point-slope formUsing these steps, the correct options are:
a. Find the slope using the formula: m = (4 - 7) / (2 - (-1))
b. Substitute the coordinates (2, 4) into the point-slope formula: y - 4 = m(x - 2)
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How many units are between (9,6) and (-16,6)?
Please help and explain why, so that I understand.
Should the number of people in different cities be represented on a graph as one-dimensional, two-dimensional, or three-dimensional?
A. one-dimensional
B. two-dimensional
C. three-dimensional
Mr. Lopez wrote the equation 32g+8g-10g=150 on the board. Four students explained how to solve for g. Alyssa: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then subtracted 30 from 150 to find the value of g, which is 120.” Rahul: “I added 32, 8, and 10 to get 50, and then I subtracted 150 to find the value of g, which is –100.” Toni: “I subtracted 18 from 32 to get 14, which I then divided into 150 to find the value of g, which is ” Wilhem: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then divided both sides by 30 to find the value of g, which is 5.” Which student’s work is correct?
Answer:
Wilhem
Step-by-step explanation:
The given equation is
[tex]32g+8g-10g=150[/tex]
Step 1 : Add 32g and 8g.
[tex](32g+8g)-10g=150[/tex]
[tex](32+8)g-10g=150[/tex]
[tex]40g-10g=150[/tex]
Step 2: Subtract 10 from 40.
[tex](40-10)g=150[/tex]
[tex]30g=150[/tex]
Step 3: Divide both sides by 30, find the value of g.
[tex]\frac{30g}{30}=\frac{150}{30}[/tex]
[tex]g=5[/tex]
The value of g is 5.
Therefore, Wilhem is correct.
Answer: D
Wilhem
Step-by-step explanation:
Edge2020
What is the area of this figure ?
A candidate to the presidency wants to know what percentage of the registered voters in the country would vote for him. So, he gives that task to one of his aides and tells him he has 3 days to come up with the results. Describe a method the aide should use to complete the task in time and which provides meaningful data. Use size of the sample, population of interest, and method of selection to complete your answer.
Answer:
Since the aide has only 3 days to come up with the results So, firstly he will collect the data of those people only who has the right to vote which is called the population of interest.
The size of the sample will depend on the population of the country.
Finally, for method of selection, a random and wide range of people must be surveyed. Ideally, he would want people from different professions, age groups, political parties, and geographical locations.
Since the aide has only 3 days, the most practical decision may be to use online surveys spread around varying interest groups to collect the information in the given short period of time. Because it is very difficult to collect this information in a very short period of time.
Write a short paragraph to answer the following question.
How are these four types of transformation similar to each other? How do they differ? In particular, what is one major difference between dilations and the other three types of transformations?
Final answer:
Geometric transformations include translations, rotations, reflections, and dilations; while the first three preserve figure size and shape, dilations change the size of the figure by a scale factor.
Explanation:
Geometric transformations include translations, rotations, reflections, and dilations, all of which change a figure's position and/or size on the plane while maintaining the straightness of lines and parallelism where applicable. These transformations are similar in that they can be applied to geometric figures to alter their position or size within a coordinate system. A major difference between dilations and the other transformations is that dilations change the size of the figure but do not preserve angles and lengths in the same way as the others. A dilation either enlarges or shrinks a figure by a scale factor from a central point, while translations, rotations, and reflections do not alter the size of the figure, only its position or orientation.
What is the greatest amount of cups of green ooze any one contestant carried?
Calculate the resistance of a piece of aluminum wire with a diameter of 100 mils and a length of two miles, at 68°F. Hint: Be sure to first convert mils to cmils and use the K value for aluminum found in the reference. (Round the FINAL answer to two decimal places.)
The resistance of the aluminum wire with a diameter of 100 mils and a length of two miles is 0.20 ohms.
Explanation:To calculate the resistance of a piece of aluminum wire, we first need to convert the diameter from mils to cmils. 1 mil is equal to 1000 cmils. So, a diameter of 100 mils is equal to 100,000 cmils. Next, we need to use the K value for aluminum, which is 1.82 ohms * cmil/ft. We convert the length of the wire from miles to feet, which gives us 10560 feet. Now, we can calculate the resistance using the formula:
Resistance = (K * Length) / Area
Where K is the conductivity of aluminum, Length is the length of the wire in feet, and Area is the cross-sectional area of the wire in cmils. Plugging in the values, we get:
Resistance = (1.82 * 10560) / 100000 = 0.1957 ohms
Therefore, the resistance of the aluminum wire is 0.20 ohms.
The resistance of the aluminum wire with a diameter of 100 mils and a length of two miles, at 68°F, is 0.0002784 ohms.
To calculate the resistance of the aluminum wire, we need to convert the diameter from mils to cmils. 1 mil is equal to 1000 cmils.
So, the diameter of the wire in cmils would be 100 * 1000 = 100,000 cmils.
Next, we need to use the K value for aluminum, which is 2.65 micro-ohm cmil/foot. We need to convert the length of the wire from miles to feet. 1 mile is equal to 5280 feet.
So, the length of the wire in feet would be 2 * 5280 = 10,560 feet.
Now, we can calculate the resistance using the formula R = (K * L) / A, where R is the resistance, K is the K value for aluminum, L is the length of the wire in feet, and A is the cross-sectional area of the wire in cmils.
Plugging in the values, we get R = (2.65 * 10^(-6) * 10560) / 100000 = 0.0002784 ohms.
Find the area to the right of a z score of 2.75 under a standard normal distribution curve
What is the range of the function represented by the table?
A {2, 4, 6, 8, 10}
B {2.5, 5.0, 7.5, 10.0, 12.5}
C {2, 2.5, 4, 5.0, 6, 7.5, 8, 10, 12.5}
D {0.0, 0.5}
Answer:
{2.5, 5.0, 7.5, 10.0, 12.5}
Step-by-step explanation:
Which of the following graphs shows the value of the antique clock, y, in dollars, after x years?
To build a desktop you put 2 boards together . One board is 1/3 inch thick, and the other is 1/2 inch thick . How thick will the desktop be?
Write 3.35 as a mixed number
A right rectangular prism has a length of 6 inches, a width of 9 inches, and a height of 10 inches. What is the surface area of the prism? Enter your answer in the box. in²
Answer:
A=408in²
Step-by-step explanation:
A=2(wl+hl+hw)=2·(9·6+10·6+10·9)=408in²
Describe a real-world situation that the graph could represent
Write 4.4 as a reduced mixed number
A paper cup is dropped and its landing position is recorded. The cup can land on the side, on the open end, or on the closed end. The results of 20 trials are shown in the table below: A chart shows tally marks. Main title for the chart is Paper Cup Experiment. The title for the second column is Number of times occurred. The tally mark corresponding to open shows a set of 4 vertical lines cut by a slanting line and a set of 3 vertical lines. The tally mark corresponding to closed shows a set of 4 vertical lines. The tally mark corresponding to side shows a set of 4 vertical lines cut by a slanting line and a set of 3 vertical lines. Based on the table, which of the following best compares the experimental probability of the cup landing on its open end with the experimental probability of the cup landing on its closed end?
Which percents would be close to 7%? 4.8% 5.2%. 6.8%. 5.5%
(80 POINTS)
For each pair of shapes, decide whether they are congruent, similar, or neither. Choose the best answer.
The first figure is congruent by SSS congruency.
The second figure is congruent by ASA congruency.
The third figure is congruent by SAS congruency.
The fourth figure is Similar.
The fifth figure is congruent by ASA congruency.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
By first figure,
In both triangles, All sides are equal to each other.
Hence, The first figure is congruent by SSS congruency.
By second figure,
In both triangles, One side and two angles are equal to each other.
Hence, The second figure is congruent by ASA congruency.
By third figure,
In both triangles, Two sides and One angle are equal to each other.
Hence, The third figure is congruent by SAS congruency.
By fourth figure,
In both triangles, Ratio of there corresponding sides are equal as;
⇒ 2 : 4 = 5 : 10
⇒ 1 : 2 = 1 : 2
Thus, The fourth figure is Similar.
By fifth figure,
In both triangles, Two angles and One side are equal to each other.
Hence, The fifth figure is congruent by ASA congruency.
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