Remember that the formula to calculate the total amount in an account with compoud interest is:
\(P(1+r)^n\)Where:
• P, is the principal (amount incially invested)
,• r ,is the rate of interest
,• n, is the times that the interest is compounded
Using this and the data given we'll get:
\(2000(1+\frac{4.8}{100})^9=3049.87\)Thereby, we can conclude that the accounts balance after 9 years is $3,049.87
an inverted pyramid is being filled with water at a constant rate of 40 cubic centimeters per second. the pyramid, at the top, has the shape of a square with sides of length 5 cm, and the height is 9 cm. find the rate at which the water level is rising when the water level is 2 cm.
The rate at which the water level is rising when the water level is 5 cm is;
dh/dt = 1.6 cm/s
What is a PYRAMID?A structure with triangle outside surfaces that converge to a single step at the summit is referred to as a pyramid (from Greek: pyrams)]. This shape is roughly a pyramid in the geometric sense. A pyramid foundation might be triangular, quadrilateral, or any other type of polygon. A pyramid therefore has at least three triangular exterior surfaces (at least four faces including the base). A typical variation is the square pyramid, which has a square base and four triangular exterior surfaces.Because a pyramid is built with the pyramidion at the top and the remainder of the weight closer to the ground[3], less material will be pressing down from above. Early civilizations could build stable structures thanks to this weight distribution.Acc to our question-
length of square side; s = 4 cmheight of pyramid; h = 8 cmvolumetric rate; dV/dt = 30 cm³/sSince the base is square shaped and we know that area of a square = s², then we can say that;Volume of pyramid = ¹/₃s²hThe pyramid has a height of 8 cm and length of its' square base side is 8 cm.Now, regardless of the water height, the surface of the water will always be square shaped. This implies that the ratio of the height to the top side of square will always be the same. Thus, we can say that; s = 4/8 h = h/2Thus, Volume is;V = ¹/₃ × (h/2)² × hV = ¹/₃ × h³/4V = h³/12dV/dt = (3h²/4) dh/dtPlugging in the relevant values gives;30 = (3 × 5²/4) dh/d120 = 75 dh/dtdh/dt = 120/75dh/dt = 1.6 cm/sHence,The rate at which the water level is rising when the water level is 5 cm is; dh/dt = 1.6 cm/s
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Jaidee has homework in seven subjects. She is deciding what order to complete them in.
This scenario involves a permutation as Jaidee is deciding the order in which she will complete her homework. There are 7 subjects, so the number of possibilities is 7! (7 factorial), which is 5040.
What is the explanation for the above response?The scenario involves a permutation because Jaidee is arranging the order in which she will complete her homework, which is a specific sequence.
As there are seven subjects, the number of possibilities can be calculated using the formula for permutations: n!/(n-r)!,
where n is the total number of items and
r is the number of items being chosen.
In this case, the total number of items is 7, and all 7 are being chosen.
Therefore, the number of possibilities is 7! (7 factorial), which is equal to 5040.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
State if the scenario involves a permutation or a combination. Then find the number of possibilities.
Jaidee has homework in seven subjects. She is deciding what order to complete them in.
Can you help me with this math problem?
(x+ 2) ^ 2
(squared)
thankyou
A coat has an original price of $48.99. Gloria wants to calculate the final cost of the coat including the 7% sales tax. She could use the expression 0.07 (48.99) + 48.99 to determine the final cost. Which other express could she also use to determine the final cost?
(0.07) ($48.99)
(1.07) ($48.99)
(1.93) ($48.99)
(0.93) ($48.99)
An F-curve has df (9,3). a. What is the number of degrees of freedom for the numerator? b. What is the number of degrees of freedom for the denominator?
An F-curve has df (9,3), so the number of degrees of freedom for the numerator is 9 and the number of degrees of freedom for the denominator is 3.
The degrees of freedom in a statistical calculation describe how many values in a computation can change. The degrees of freedom of chi-square tests, t-tests, and even more complex f-tests may be computed to assist confirm their statistical validity. These tests are frequently used to compare observed data with data that would be expected to be produced if a given hypothesis were followed.
We have F-curve with df = (9, 3)
So The degrees of freedom for the numerator is the first number mentioned in df:
df (numerator) = dfn = 9
The degrees of freedom for the denominator is the second number mentioned in df:
df (denominator) = dfd = 3.
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What mass of titanium displaces 125.0 cm3, if the density of titanium is 4.51 g/cm3?
The titanium has a mass value of 563.75 grams
How to determine the mass of the titanium?From the question, the given parameters are
Density of titanium = 4.51 g/cm^3
Volume of benzene = 125.0 cm^3
The mass of the titanium is then calculated using
Density = Mass/Volume
Make Mass the subject of the formula
So, we have
Mass = Volume x Density
Substitute the known values in the above equation
So, we have the following equation
Mass =125.0 x 4.51
Evaluate the product in the equation
Mass = 563.75
Hence, the mass of the titanium is 563.75 grams
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(0)
A production line operates for two eight-hour shifts each day. During this time, the production line is expected to produce 3,000 boxes. What is the takt time in minutes?
Group of answer choices
.25
.3
3
.6
The expected number of boxes to be produced is given as 3,000 boxes. So, the correct answer is 0.3, indicating that the takt time in minutes is 0.3 minutes.
The production line operates for two eight-hour shifts each day, which means there are 16 hours of production time available. Since there are 60 minutes in an hour, the total available time in minutes would be 16 hours multiplied by 60 minutes, which equals 960 minutes.
The expected number of boxes to be produced is given as 3,000 boxes.
To calculate the takt time in minutes, we divide the total available time (960 minutes) by the expected number of boxes (3,000 boxes):
\(Takt time = Total available time / Expected number of boxes\)
\(Takt time = 960 / 3,000\)
By performing the calculation, we find that the takt time is approximately 0.32 minutes, which is equivalent to 0.3 minutes rounded to one decimal place.
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50 POINTS ANSWER FOR BRAINLIST AND HEARTS
The following are the answer to each statement;
The book is $18 - TrueGiselle can earn up to $18 pulling weeds for her grandma - FalseGiselle's grandma pays her $1 for every 5 weeds she pulls - TrueGiselle does not have to use any of her own money towards the purchase of the book when she pulls 90 weeds - TrueGiselle only needs to pull 18 weeds to not use any of her own money - FalseHow to interpret graph?1. The book is $18
The statement is true because the beginning of the graph represents cost before she picks any weeds.2. Giselle can earn up to $18 pulling weeds for her grandma.
This is not true because the graph shows that she is still able to earn more money from picking weeds.3. Giselle's grandma pays her $1 for every 5 weeds she pulls
This is true because the price change from $18 to $17 is $1 for 0 weeds to 5 weeds.4. Giselle does not have to use any of her own money towards the purchase of the book when she pulls 90 weeds.
This is true because the amount earned for 90 weeds is equivalent to the money needed to buy the book.5. Giselle only needs to pull 18 weeds to not use any of her own money
Giselle will need to pull 90 weeds in order to not spend her own money. The statement is false.Read more on graph:
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im so lost im in algebra 1 and i feel so slow
Answer:
Hey but you get better at in no time lol
Step-by-step explanation:
no need to worry
One hundred students from a large university were asked about their opinion on the new health care program. The 100 represents statistical inference data and statistics a sample a population
The 100 students from a large university represent a sample.
In statistics, a sample is a subset of individuals or observations taken from a larger group known as the population. The purpose of taking a sample is to make inferences and draw conclusions about the population based on the characteristics observed in the sample.
In this scenario, the 100 students from a large university who were asked about their opinion on the new health care program represent a sample. The sample is a smaller group of individuals selected from the larger population of all students at the university. The intention is to gather insights and information about the opinions of the broader population based on the responses obtained from the sample. Statistical inference techniques can be applied to analyze the data collected from the sample and make conclusions or predictions about the entire population.
It is important to note that the sample should be representative of the population to ensure that the conclusions drawn from the sample can be generalized to the larger population accurately. The process of selecting a sample and conducting statistical analyses is an essential part of studying and understanding populations using data and statistics.
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Without solving, identify whether this equation has a solution that is positive, negative, or zero: 3x−5=−3.
PLEASE HURRY! You encounter the following statement and explanation when reviewing a report at your finance job: (14^0/14^3)^1/3=14^-2/3 They are equivalent because (14/14^3)^1/3=(14^-2)^1/3
You notice this statement and explanation in the report are wrong. explain why it is wrong and give the correct answer.
The expressions are not equal and the explanation is wrong because the index forms have different exponential values.
The correct answer is 14^-1/3
How to determine the correct optionEquivalent expressions are known as expressions that are the same solution but differ in the mode of their arrangement.
From the information given, we have the index forms;
(14^0/14^3)^1/3=14^-2/3
It is important to note that exponents with zero equals 1.
Then, we have that;
1/14^1/3 = 14 ^-2/3
Take the inverse of the exponent
14^-1/3 is not equal to 14^-2/3
Hence, the correct answer is 14^-1/3
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Select the correct answer. daniel has a list of numbers that are not in any order. he wants to find the order of the numbers with the help of a spreadsheet. which statistical function will help him do so? a. mode b. rank c. median d. average
The correct option is B.
Rank
What is Rank function?The RANK function in a Microsoft Excel spreadsheet enables users to order the various pieces of data by their numerical values. By entering an absolute value for the range of cells the user wants to rank, they can also use the rank function. If an absolute value is not specified, the program's auto-formula may cause the rank of the various cells to alter.
What is Spreadsheet?A spreadsheet is a computer program used for organizing, organizing, analyzing, and storing tabular data. Spreadsheets were created as electronic alternatives to paper accounting worksheets. Data typed into table cells serves as the program's input.
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Which equations are correct?
Answer:
The second one is wrong, so select the rest
Triangle SAM is congruent to Triangle REN. Find x and y.
\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)
A new car is purchased for 20300 dollars. The value of the car depreciates at 9.5% per year. What will the value of the car be, to the nearest cent, after 11 years?
Answer:
6770.65$
Step-by-step explanation:
The formula for this is
20300×(0.905)^11
20300×0.333529591
6770.6507
which can be rounded to
6770.65$
Find the equation for the plane through P0(8,1,−4) perpendicular to the following line.
x=8−t, y=1−2t, z=3t, −[infinity]
Using a coefficient of −1 for x, the equation of the plane is.
The equation for the plane through P0(8,1,−4) perpendicular to the following line is x + 4y + 5z - 8 = 0
How to determine the equation?The slope of the perpendicular line should be a/b, and if one line is perpendicular to this line, the product of slopes should be -1. The equation of a line perpendicular to a given line ax + by + c = 0 is bx - ay + = 0, where is a constant.
The given parameters are
x=8−t, y=1−2t, z=3t,
P0(- 9, 6, - 5).
Direction vector of line is < -1, 4, 5>,
This vector is normal vector for unknown plane.
So, equation of plane: -1(x - (-9)) + 4(y - 6) + 5(z - (-5)) = 0; - x - 9 + 4y - 24 + 5z + 25 = 0;
In conclusion the equation is given as -x + 4y + 5z - 8 = 0
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Please help I don't understand this.
Answer:
290.6 cm²
Step-by-step explanation:
2(4 · 12 + 4 · 12 + 4 · 4) = 224
224 + 66.6 = 290.6
Please answer in an hour! You will get a thumbs up.
Question 1 (a)
Assume you purchase a new tractor on Jan 1, 2022 for a cost of $200,000. You estimate you will be able to use the tractor for 10 years, and it will have a salvage value of 10% of the original by the end of its useful life. Determine the book value at the end of the first year (December 31, 2022) using straight-line depreciation.
options:
$18,000
$180,000
$185,000
$182,000
Question 1 (b)
A balance sheet (using current and noncurrent assets and liabilities- no intermediate) shows that a farmer has current assets of $80,000 and owner equity of $100,000. Her current ratio is 2 and her debt/equity ratio is 1.0. Determine the farmer's noncurrent liabilities.
Question 1 (b) options:
$40,000
$60,000
$100,000
unable to determine
Question 1a
To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:
Annual Depreciation = (Cost - Salvage Value) / Useful Life
Substituting the given values, we get:
Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year
This means that the tractor will depreciate by $18,000 each year for the next 10 years.
To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:
Depreciation Expense for Year 1 = $18,000
Therefore, the book value of the tractor at the end of the first year will be:
Book Value = Cost - Depreciation Expense for Year 1
= $200,000 - $18,000
= $182,000
So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D
Question 1(b)
To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:
Calculate the total current liabilities using the current ratio:
Current Ratio = Current Assets / Current Liabilities
2 = $80,000 / Current Liabilities
Current Liabilities = $80,000 / 2
Current Liabilities = $40,000
Calculate the total liabilities using the debt/equity ratio:
Debt/Equity Ratio = Total Liabilities / Owner Equity
1.0 = Total Liabilities / $100,000
Total Liabilities = $100,000 * 1.0
Total Liabilities = $100,000
Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:
Noncurrent Liabilities = Total Liabilities - Current Liabilities
Noncurrent Liabilities = $100,000 - $40,000
Noncurrent Liabilities = $60,000
Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.
what is the population being studied warts
The average population being studied is people with warts. Specifically, this population includes individuals of all ages who have been diagnosed with any type of wart caused by a virus, such as common warts, plantar warts, and flat warts.
The population being studied is people with warts. Warts are caused by a virus and can occur anywhere on the body. Common warts, plantar warts, and flat warts are the most common types. Common warts are usually found on the hands and fingers, and are usually round and raised. Plantar warts are found on the soles of the feet and can be painful. Flat warts are usually found on the face, arms, and legs, and are generally flat and smooth. People of all ages can be affected by warts, and they are highly contagious and can be spread through contact with an infected person or surface. Treatment options include over-the-counter medicines and prescription medications, as well as cryotherapy and laser treatments. This population is being studied to better understand the causes, risk factors, and treatments for warts.
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The complete question is
what is the population being studied warts and the prevalence of warts in the population being studied?
A home has a rectangular kitchen. If listed as ordered pairs, the corners of the kitchen are (11, 5), (−6, 5), (11, −2), and (−6, −2). What is the area of the kitchen in square feet?
A. 119 ft2
B. 49 ft2
C. 48 ft2
Answer:
A. 119 ft2
Step-by-step explanation:
(11, 5) and (-6, 5)
= 11 - (-6)
= 17 feet
(11, 5) and (11, -2)
= 5 - (-2)
= 7 feet
17 × 7 = 119 square feet
College Algebra Applied Problem Four A medical professional is helping an individual balance their diet. The individual has asked for some certain foods to remain in their diet. They will always get 600 calories from carbohydrates. The individual says that they can be flexible about how many calories they consume in fats and proteins. The goal of the diet is to keep the individual at 1,800 calories per day ( 600 of which come from carbohydrates). Part One Write an equation that models the amount of calories from fats " f ' and protein "p" that the individual can consume in order to reach 1,800 calories. Part Two The diet being prescribed to the individual calls for calories from protein to be three times the calories from fat. Write an equation based on this information that relates calories from protein "p" to calories from fat " f ". Part Three Use your equations from parts "b" and "c" to solve this system of equations and determine the amount of calories that the individual should consume from fats and proteins. Part Four If the individual no longer required 600 calories from carbohydrates, and instead said that they would be flexible about how many carbohydrates they would consume, how many variables would there be for this problem on calories?
The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.
To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.
Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.
To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.
Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.
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Daniel weighed 143 1/2 lbs. He
gained Ys lb during the first week,
7 lb during the second, gb
10
during the third, but lost 345 lb
during the fourth.
What was the average weekly
change in his weight?
Answer: 186+14-26+5=179 pounds
Step-by-step explanation:
1. Regainged 5 pounds and weighed 179 pounds = So he weiged 179-5=174 pounds."and lost 26 pounds"
2. To weigh 174 pounds,so he used to weigh 174+26=200 pounds, David gained 14 pounds over the winter, so he weighed 200-14=186 pounds.
3. Check 186+14-26+5=179 pounds
If you are doing algebra, then X+14-26+5=179
Solve for X.
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An orthogonal rotation of factors identified in a factor analysis produces a communality of .30 for one of the tests included in the analysis. This means that ____% of variability in scores on that test is explained by the factor analysis.A. 9B. 49C. 30D. 70
Which equation represents a hyperbola shown in the graph?
Answer:
C
Step-by-step explanation:
Answer:
The answer is C on edge
Step-by-step explanation:
A polygon that undergoes a series of transformations that the image has the corresponding sides and angles of equal measure to those of the original, it can be said that the original and the image are congruent. true or false?
What did the answer end up being?
Mila spins two spinners. One spinner has two equal sections labeled 1
and 2. The other spinner has three equal sections labeled 1, 2, and 3.
What is the probability that the sum of the two spins is 4?
Answer:
\( \frac{1}{2} \times \frac{1}{3} + \frac{1}{2} \times \frac{1}{3} = \frac{1}{3} \)
Step-by-step explanation:
1st case :
1+3= 4
2nd case:
2+2=4
For that , we add the probability of the 2 cases to get
1/3
Answer:
The probability that the sum of the two spins is 4 is 1/3 or 33.33%--------------------
Total number of outcomes is:
2*3 = 6Outcomes with the sum of 4:
1 + 3 = 4 and 2 + 2 = 4So we have two favorable outcomes out of six total outcomes.
The probability that the sum of the two spins is 4:
P = favorable ourcomes / total outcomesP(4) = 2/6 = 1/3 or 33.33%GUYS HELPPPPP OMG BEGGING U im on my knees
Use compound interest to find the end balance.
$55,000 compounded annually at 16% for 3 years
a
$86,726.42
b
$85,849.30
c
$26,400
d
$81,400
mike paid $11.71 total
for berries, after a 3
dollar coupon, and $6.32
for peaches with
a $20 bill. How much
change did Mike receive?
Answer:
Bill received 13.68 change back.
Step-by-step explanation:
20-6.32=13.68
Answer:
Mike received $1.97 in change.
Step-by-step explanation:
$6.32+$11.71=$18.03
so then you take away 18.03 from 20 like this:
$20.00-$18.03=$1.97
An equation of a line through (3, 10) which is parallel to the line y = 5x + 4 has slope:
And y-intercept at:
Parallel lines have the same slope, so the slope is 5.
The equation in point-slope form is y-10=5(x-3). Substituting x=0, we get y - 10 = -15, and thus the y intercept is (0, -5).