The interest earned during the third month of the 7th year is $3,613.55.
What is interest rate?
The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate.
Let PMT be the monthly payment, r be the monthly interest rate, and n be the total number of payments. Then:
FV = PMT × [(1 + r)n - 1]/r
In this case, we want to find PMT, given that FV = $900,000, r = 0.038/12, and n = 10 × 12 = 120:
[tex]$900,000 = PMT * {[(1 + 0.038/12)}^{120} - 1]/(0.038/12)[/tex]
Solving for PMT, we get:
PMT = $682.48
[tex]FV = $682.48 * [(1 + 0.038/12)^87 - 1]/(0.038/12)\\\\ = $89,324.47\\\\PV = $682.48 * [(1 + 0.038/12)^83 - 1]/(0.038/12) \\\\= $85,710.92[/tex]
The interest earned during the third month of the 7th year is:
$89,324.47 - $85,710.92 = $3,613.55
Therefore, the interest earned during the third month of the 7th year is $3,613.55.
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Ezra works for a company that is headquartered in Canada.
One morning, he receives two checks from the company. The first
is his paycheck for 720 Canadian dollars and the second is a bonus
check for 225 Canadian dollars. He receives 600 U.S. dollars for sup
the first check. What amount, in U.S. dollars, will Ezra receive for his bounus check?
Amount, in U.S. dollars, will Ezra receive for his bounus check Ezra will receive 180 U.S. dollars for his bonus check.
What is statistics?Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It is used to make sense of numerical data by summarizing it and drawing conclusions from it. Statistics is used in a wide range of fields, from social sciences to medicine, engineering, and business.
To convert Canadian dollars to U.S. dollars, we need to know the exchange rate. Let's assume that the exchange rate is 1 Canadian dollar = 0.80 U.S. dollars.
First, we need to convert Ezra's paycheck from Canadian dollars to U.S. dollars:
720 Canadian dollars * 0.80 U.S. dollars/Canadian dollar = 576 U.S. dollars
So Ezra receives 576 U.S. dollars for his paycheck.
To find out how much he will receive for his bonus check, we need to convert it from Canadian dollars to U.S. dollars:
225 Canadian dollars * 0.80 U.S. dollars/Canadian dollar = 180 U.S. dollars
Therefore, Ezra will receive 180 U.S. dollars for his bonus check.
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Suzanna says that 2/3 and 60% are equal. Is
she correct? Justify your thinking.
Answer:
2/3 is not equal to 60%
Step-by-step explanation:
2/3 of is equal to 66.6%
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Question reads..}[/tex]
[tex]\rm{Suzanna \ says \ that \ \dfrac{2}{3} \ and\ 60\% \ are \ equal.\ Is\ she \ correct?}\\\\\rm{Justify \ your \ thinking.}[/tex]
[tex]\huge\textsf{Let us make the problem easier to solve}[/tex]
[tex]\mathtt{\dfrac{2}{3} = 2\div 3 = 0.666667}\\\\\mathtt{ 0.666667\times100 = 66.67\%}\\\\\mathtt{\dfrac{2}{3} \approx 66.67\%}\\\\\\\\\mathtt{\dfrac{2}{3}\neq 60\%}[/tex]
[tex]\huge\text{Is she correct? Justify your thinking.}[/tex]
[tex]\huge\boxed{\mathtt{No, \she\ is \ incorrect\ because\ \dfrac{2}{3}\ is}}\\\\\huge\boxed{\mathtt{equivalent\ to\ approximately \ 66.67\%}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Your local hardware store is having a 35% off everything sale. But Wait!!!! For the next 3 days they
are offering a coupon to save an additional 30%. If the store applies the sale price then applies the
coupon, find each of the following. Let a represent the price of any item. Round all decimals to 4
decimal places.
Write an function that will directly calculate the final price on an item.
What percentage is actually being saved by the costumer?
1. The function that will directly calculate the final price on an item is " a * 0.455".
2. The percentage that is actually being saved by the custumer is 54.5%.
Function which will calculate the final price on an item:The final price of an item after the discount and coupon can be calculated using the following function:
Final price = a * (1 - 0.35) * (1 - 0.30)
Final price = a * 0.455
This function first applies the 35% discount, which reduces the original price (a) to 65% of its value. Then, it applies the 30% coupon to the discounted price, which reduces it to 70% of its value.
What percentage is actually being saved by the custumer?Original price = $100
Sale price (35% off) = $100 * (1 - 0.35)
Sale price (35% off) = $65
Final price = $65 * (1 - 0.30)
Final price = $45.50
Savings = $100 - $45.50
Savings = $54.50
Percentage saved:
= (Savings / Original price) * 100%
= ($54.50 / $100) * 100%
= 54.5%
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The volume of a figure is 975 ft³. If the
dimensions are multiplied by 2/5, what will be
the volume of the new figure?
Volume= answer... ft3
The volume of the new figure is approximately 63.36 ft³.
What is Volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Equation:If the dimensions of a figure are multiplied by a scale factor of k, then its volume will be multiplied by a factor of k³.
In this case, the dimensions are multiplied by 2/5, which is the same as multiplying by a scale factor of 0.4 (2/5 = 0.4). Therefore, the volume of the new figure will be:
V' = (0.4)³ * V
where V is the original volume.
Substituting V = 975 ft³, we get:
V' = (0.4)³ * 975 ft³
V' ≈ 63.36 ft³
Therefore, the volume of the new figure is approximately 63.36 ft³.
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Bigger corp has numerous clients they sell to on account. At 12/31/21, Bigger1s accounts receivable balance is $550,000
and their balance in their Allowance for Bad Debt account is a credit balance of $25,000
Based on past experience and other factors, the corp estimates that 8% of its account receivable is uncollectable after preparing an Aging of their A/Rec
They determine this to be a material amount and therefore use the Allowance Method
a) prepare the accounting for estimating Bad Debt Exp under the Allowance Method
b) show the Corp's Net Realizable Value after (a) above
c) After accounting for their Allowance at 12/31/21, on 7/1/22 Bigger identifies Customer F to be written off. F owes
them $20,000. Show the accounting for Cust F's write-off under the Allowance Method
d) show the Corp1
s Net Realizable Value after writing off Customer F
#3:
1) What is an 11
aging of accounts receivable11
?
2) State 2 for and 2 reasons against selling on account
3) How does Notes Receivable differ from Accounts Receivable?
a) To estimate Bad Debt Expense under the Allowance Method, Bigger Corp needs to create an adjusting entry at the end of the period. The entry will increase Bad Debt Expense and create a contra-asset account, Allowance for Doubtful Accounts. The entry will be:
Bad Debt Expense 44,000
Allowance for Doubtful Accounts 44,000
The calculation for the entry is: 8% * $550,000 = $44,000.
b) After the adjustment in (a), the net realizable value of Bigger Corp's accounts receivable is:
Accounts Receivable $550,000
Allowance for Doubtful Accounts ($69,000)
Net Realizable Value $481,000
c) To write off Customer F's debt of $20,000 under the Allowance Method, Bigger Corp needs to create another journal entry that decreases both accounts receivable and the allowance account. The entry will be:
Allowance for Doubtful Accounts 20,000
Accounts Receivable - Customer F 20,000
d) After writing off Customer F's debt, the net realizable value of Bigger Corp's accounts receivable is:
Accounts Receivable $530,000
Allowance for Doubtful Accounts ($69,000)
Net Realizable Value $461,000
An aging of accounts receivable is a report that categorizes a company's accounts receivable by the length of time the invoices have been outstanding. The report typically breaks down the receivables by 30-day periods, such as 0-30 days, 31-60 days, 61-90 days, and 91+ days. This report is used to help management identify which accounts are overdue and may require follow-up action, and to estimate the amount of bad debt expense that may need to be recorded.
Selling on account has several advantages, such as increasing sales revenue and customer loyalty. It also allows customers to buy products or services they need without having to pay immediately, which can be beneficial for both parties. However, there are also disadvantages, such as the risk of non-payment, the need to manage accounts receivable and collection efforts, and the potential for bad debt expense. Additionally, selling on account may require additional resources to manage, such as billing and collections staff.
Notes Receivable is a written promise to pay a specified amount of money at a specific future date. Accounts Receivable, on the other hand, represent amounts owed to a company by its customers for goods or services sold on credit. Notes Receivable usually carry interest and have a longer-term repayment schedule compared to Accounts Receivable, which are typically due within a shorter time frame, such as 30 days.
Juniper Middle School serves students in 7th and 8th grades.
a. 55% of the students at Juniper are in the 8th grade. The remaining 117 students are in 7th grade. How many
students attend Juniper Middle School?
b. In September, there was an average of 4.8 daily unexcused absences. In October, this daily average was 6. By what
percent did the average daily unexcused absences change from September to October?
There are 260 students who attend Juniper Middle School. The average daily unexcused absences increased by 25% from September to October.
How to calculate . How many students attend Juniper Middle Schoola. Let's assume that the total number of students at Juniper Middle School is "x."
Given that 55% of the students are in the 8th grade, we can write:
0.55x = number of 8th grade students
And since the remaining 117 students are in 7th grade, we can write:
x - 0.55x = 117
0.45x = 117
x = 260
Therefore, there are 260 students who attend Juniper Middle School.
b. To find the percent change from September to October, we can use the formula:
percent change = ((new value - old value) / old value) x 100%
Substituting the given values, we get:
percent change = ((6 - 4.8) / 4.8) x 100%
percent change = (1.2 / 4.8) x 100%
percent change = 25%
Therefore, the average daily unexcused absences increased by 25% from September to October.
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1. bmi calculator: design a program in raptor that prompts user to enter a person's weight in number of pounds and height in number of inches, then calculate that person's body mass index (bmi) using the formula below, and finally display the person's weight, height, and bmi. bmi
The program uses the conversion factors of 2.205 pounds per kilogram and 39.37 inches per meter to convert the input values to the correct units for the formula.
To design a program in Raptor that prompts the user to enter a person's weight in pounds and height in inches, and then calculates and displays their body mass index (BMI), we can follow these steps:
Start by opening Raptor and creating a new program.
Add three input symbols to prompt the user for their weight, height, and a constant value for BMI. Label each input symbol accordingly.
Add three assignment statements to assign the input values to variables. We can use the labels we assigned to the input symbols as variable names to make the code more readable.
Add two calculation statements to calculate the person's BMI using the formula [tex]BMI = (weight in pounds * 703) / (height in inches)^2.[/tex]Assign the result to the BMI variable.
Add three output symbols to display the person's weight, height, and BMI. We can concatenate strings with the variable values to make the output more informative.
Finally, save the program and run it to test it with different input values.
Here's what the program would look like:
Start
// Prompt the user for weight, height, and BMI
Input "Enter weight in pounds:", weight
Input "Enter height in inches:", height
Input "BMI:", bmi_constant
// Calculate BMI
Set weight_in_kg = weight / 2.205 // Convert weight to kilograms
Set height_in_m = height / 39.37 // Convert height to meters
[tex]Set bmi = weight_in_kg / (height_in_m ^ 2)[/tex] // Calculate BMI
// Display results
Output "Weight: " + weight + " lbs"
Output "Height: " + height + " in"
Output "BMI: " + bmi
Stop
When the program is run, it will prompt the user to enter their weight, height, and a constant value for BMI. It will then calculate the person's BMI using the formula, convert the weight to kilograms and the height to meters, and display the results along with the original weight and height values. The program uses the conversion factors of 2.205 pounds per kilogram and 39.37 inches per meter to convert the input values to the correct units for the formula.
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please help me i need it
Answer:
75 degrees
Step-by-step explanation:
Since angle ABD = angle ABC + angle CBD, and we know each of those, we can add them to get the answer.
30+45=75 degrees.
At the 2022 Winter Olympics, one country won a total of 150 medals. A circle graph of the medals is shown.
a circle graph titled 2022 Winter Olympic Medals, with three sections labeled gold 20 percent, silver 30 percent, and bronze 50 percent
How many gold and bronze medals were won?
50
70
105
120
Answer:
70 gold and bronze
Step-by-step explanation:
Add gold at 20 percent and bronze at 50 percent to get 70 percent gold and bronze.
A triangular piece of land has base 20meter and height 10meter. if the land is 15 dolar per square meter what is its value
The value of a triangular piece of land is, 1500 dollars.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We know that;
Area of triangular piece of land = 1/2 x length x height
Here, Length = 20m
Height = 10m
Hence, We get;
Area = 1/2 x 20 x 10
= 100 cm²
Since, The land is 15 dollar per square meter.
Hence, The total value is,
Value = 15dollars x 100
= 1,500 dollars
Thus, The value of a triangular piece of land is, 1500 dollars.
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Question
Simplify:
(-11r² +8rs + 4s² ) − (11r² − 4rs – 3s²).
Provide your answer below:
Step-by-step explanation:
To simplify the expression:
(-11r² +8rs + 4s² ) − (11r² − 4rs – 3s²), we need to perform the subtraction operation by distributing the negative sign to each term inside the parentheses:
-11r² + 8rs + 4s² - 11r² + 4rs + 3s²
Now we can combine like terms by adding or subtracting coefficients of the same variables:
(-11r² - 11r²) + (8rs + 4rs) + (4s² + 3s²)
Simplifying further, we get:
-22r² + 12rs + 7s²
Therefore, the simplified expression is -22r² + 12rs + 7s².
Shania is having trouble understanding her algebra assignment. To help her understand, she asks Mark why x2 x y3 is not equal to (xy)5. Which of the following responses would be best for Mark to give?
Answer:
In 2x*3y, you must multiply each term together. 2*3=6 and x*y=xy. So, 2x*3y=6xy.
Assume that you are a garment manufacturer. Based on the marker, you need to
order 3,500 yards of fabric in 60 inches with a density of 200 gm/m² to fulfill your
order. The fabric mill is only able to quote you fabric price in weight at S$6 per kg
and he can meet your 200gm/m² density and the 60 inches fabric width
requirements. How much fabric must you order in kg? What is the total cost of the
fabric purchased?
I NEED HELP ASAP
Answer:
The garment manufacturer must order 640.56 kg of fabric and the total cost of fabric purchased would be S$3,843.36.
Explanation:
To find out how much fabric must be ordered in kg, we need to first convert the yards to meters, then calculate the weight of the fabric in kg.
1 yard = 0.9144 meters 3,500 yards = 3,202.8 meters
Density = 200 gm/m² = 0.2 kg/m²
Total weight of fabric = 3,202.8 meters x 0.2 kg/m² = 640.56 kg
Therefore, the garment manufacturer must order 640.56 kg of fabric.
The cost of fabric per kg is S$6.
Therefore, the total cost of fabric purchased is:
Total cost = 640.56 kg x S$6/kg = S$3,843.36
I’ve been having trouble solving #54 can anyone help me?
The summation of the values in the table is -0.65
How to get the value of the summation?Just take the sum between the products of the values in the correspondent rows, the first row gives:
-1*0.999 = -0.999
The second row gives:
349*0.001 = 0.349
Then the sum between these two gives:
-0.999 + 0.349 = -0.65
That is the summation.
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what equation can be used to represent the relation shown in the table ?
Betsy is working on draining her pool for the winter. Her pool has 1,200 gallons of water and can drain 100 gallons an hour. After 5 hours, how much water will still be in the pool?
After 5 hours, there will be 700 gallons of water still in the pool.
After 5 hours, how much water will still be in the pool?Given that, the pool has 1,200 gallons of water and can drain 100 gallons an hour.
After 5 hours, the total amount of water drained from the pool will be 100 gallons per hour times 5 hours, or 500 gallons.
= 100 gallons × 5
= 500 gallons
To find out how much water will still be in the pool, we need to subtract the amount of water drained from the original amount "y":
This forms an equation.
Amount of water still in the pool = original amount - water drained from the pool.
y = 1,200 gallons - 500 gallons
y = 700 gallons
Therefore, 700 gallons of water is still in the pool.
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two sets of the sum of a number and eight are added to five times the same nunmber
Answer:
2 (x + 8) + 5x.
Step-by-step explanation:
This question is to find the algebraic expression given by words. Call the unknown number x. Then the sum of it and eight is x + 8. Two sets of it means 2 (x + 8). Now that added to five times the number is 2 (x + 8) + 5x. Then, the answer is: 2 (x + 8) + 5x.
Find the volume of the composite. The solid below is a square prism with a cylinder
cut out of it. Round to the nearest whole centimeter.
Answer:
17,242 cm³
Step-by-step explanation:
Step 1:
Volume of square prism = (area of base) * height
Volume of square prism = (25 * 30) * 25
Volume of square prism = 750 * 25
Volume of square prism = 18,750 cm³
Step 2:
Volume of cylinder = (area of base) * height
Volume of cylinder = (π * (8/2)²) * 30
Volume of cylinder = 16π * 30
Volume of cylinder = 480π
Volume of cylinder ≈ 1,508 cm³
Step 3:
Volume of composite = (Volume of square prism) − (Volume of cylinder)
Volume of composite = 18,750 cm³ − 1,508 cm³
Volume of composite = 17,242 cm³
a movie streaming service offers 12 children movies this is 15% of the total number of movies offerd
Answer: the movie streaming service offers 80 children's movies
Step-by-step explanation:
I need help with this problem. Please answer if you know how to do this.
It should be noted that 768 hand-held color televisions can be sold at $320 per television.
How to solve the word problemA word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
It should be noted that to find the number of hand-held color televisions sold at $320 per television, we need to substitute p = 320 into the supply model or demand model and solve for N.
Using the supply model:
N = 2.4p = 2.4(320) = 768
Therefore, at a price of $320 per television, the supplier is willing to produce 768 hand-held color televisions per week.
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The radius of a circle is 5 in. Find its area in terms of pi
Answer:
Step-by-step explanation:
[tex]A=\pi r^2=\pi \times 5^2=25\pi[/tex]
Solution: [tex]A=25\pi[/tex] units²
Chase decided he was going to start selling cups of lemonade this weekend too. He calculated his profit using the given table
number of cups sold (c) 15 20 25 30 35
total profit earned S(c) $5.05 $9.05 $13.05 $17.05 $21.05
$5.05 15
+ $9.05 20
+ $13.05 25
+ $17.05 30
+ $21.05 + 35
$65.25 125
NUMBER OF CUPS SOLD :-125
TOTAL PROFIT:- $65.25
Evaluate the function when x = 3, x = 0, and x = -2.
10. g(x) = 3x
12. h(x) = 1.2x
13. f(x)=1.5x-2
14. h(x)=-4x+1/2
15. f(x)=1/3x + 2/3
Answer: The answer is -10 :)
Step-by-step explanation:
12)f(x)=2x-6
=》f(3)=2(3)-6
=》6-6=0
f(×)=2x-6
f(0)=-6
=》f(-2)=2(-2)-6
=》-4-6
=-10
13)h(3)=6(3)+2
=》18+2
=20
h(0)=0+2
h=2
(-2)=6(-2)+2
=》-12+2
=-10
What is the difference between the points (8, 10) and (8, 4) on coordinate plane
Answer:
6 units
Step-by-step explanation:
(8, 10 ) → (8, 4 )
since the x- coordinates of each point are the same, both 8
then this is a vertical straight line
the difference is then the absolute value of the difference in the y- coordinates, that is
| 10 - 4 | = | 6 | = 6
or
| 4 - 10 | = | - 6 | = | 6 | = 6
Is (2+8), 3y a constant?
Step-by-step explanation:
3y is not a constant for it has a variable.
However, (2+8) = (10) is a constant
A new water park, Tony’s Tidal Takeover, just opened. You have not heard anything specific about how much it costs to go to this park, but some of your friends have told you what they spent. The information is organized in the table below.
If I had $14 to spend, the park that I will choose based on the information will be park D where 6 rides cost $16.50
How to calculate the word problemA word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
In this case, if I had $14 to spend, the park that I will choose based on the information will be park D where 6 rides cost $16.50. This is because it's the cheapest.
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Choose the item that has measurable volume.
cereal box
an index card
piece of paper
a napkin
Answer:
For an item to have measurable volume, the item must have space and must have a closed surface. Therefore, the item is the cereal box.
Step-by-step explanation:
hope its right!
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In her geology class, Nora learned that quartz is found naturally in a variety of colors. Nora's teacher has a giant box of colorful quartz pieces that he and his students have collected over the years. Nora picks a piece of quartz out of the box, records the color, and places it back in the box. She does this 18 times and gets 3 purple, 2 yellow, 5 white, and 8 pink quartz pieces.
Based on the data, what is the probability that the next piece of quartz Nora picks will be yellow?
Write your answer as a fraction or whole number.
The probability that the next piece of quartz Nora picks will be yellow is [tex]\frac{1}{9}[/tex].
What is probability?
Probability is a tool that can be used to calculate the likelihood of an event. It can only be used to assess the likelihood that an event will take place. a scale where 0 represents impossibility and 1 represents a particular occurrence.
We are given that Nora picks pieces 18 times from the box and gets 3 purple, 2 yellow, 5 white, and 8 pink quartz pieces.
So, for the event,
⇒ Probability of yellow pieces = [tex]\frac{2}{18}[/tex]
⇒ Probability of yellow pieces = [tex]\frac{1}{9}[/tex]
Hence, the probability that the next piece of quartz Nora picks will be yellow is [tex]\frac{1}{9}[/tex].
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A famous ice cream business releases data showing that 75% of pistachio ice cream is purchased by people above the age of 65. Which statement is true?
A. The first quartile is 65.
B. The minimum age of pistachio ice cream purchasers is 65.
C. The third quartile is 65.
D. The interquartile range is 65.
Answer: A. The first quartile is 65.
Reason:
25% of the data is below the 1st quartile.
75% of the data is above the 1st quartile.
The third quartile is 65 is the true statement.
Option C is the correct answer.
We have,
The first quartile (Q1) represents the 25th percentile of the data, meaning 25% of the data falls below this value.
The third quartile (Q3) represents the 75th percentile of the data, meaning 75% of the data falls below this value.
Since 75% of pistachio ice cream is purchased by people above the age of 65, it means that the third quartile (Q3) of the data is 65.
Thus,
The third quartile is 65 is true.
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You are driving your car through a roundabout that has a radius of 10 m . Your physics textbook is lying on the seat next to you.What is the fastest speed at which you can go around the curve without the book sliding? The coefficient of static friction between the book and the seat is 0.20..
The fastest speed at which you can go around the curve without the book sliding is equal to 4.43 m/s.
How to determine the fastest speed around the curve without the book sliding?According to Newton's Second law of motion, the centrifugal force which acts on a physical object that is moving around a curve in the x-direction (x-coordinate) and y-direction (y-coordinate) is modeled by the following mathematical equations:
∑Fx = Fc = mv²/r (x-direction)
∑Fy = Fmax = n - W = mg = 0
Fmax = μmg
Where:
m represent the mass.g represent the acceleration due to gravity.v represent the velocity.r represent the radius.Generally speaking, the maximum speed of a physical object would be attained when its static friction is maximum. Therefore, we would have the following:
Fmax = μmg = mV²/r
Making V the subject of formula, we have:
Maximum speed, V = √μgr
Maximum speed, V = √(0.2 × 9.8 × 10)
Maximum speed, V = 4.43 m/s.
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