The expression evaluates to approximately 144.0000.To evaluate the expression 10 P 5 / 10 C 4, we need to understand the concepts of permutations and combinations.
10 P 5 represents the number of permutations of 5 objects selected from a set of 10 distinct objects, where the order of selection matters. It can be calculated as:
10 P 5 = 10! / (10 - 5)! = 10! / 5! = (10 * 9 * 8 * 7 * 6) / (5 * 4 * 3 * 2 * 1) = 30,240.10 C 4 represents the number of combinations of 4 objects selected from a set of 10 distinct objects, where the order of selection doesn't matter. It can be calculated as:
10 C 4 = 10! / (4! * (10 - 4)!) = 10! / (4! * 6!) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1) = 210.
Now, we can evaluate the expression:
10 P 5 / 10 C 4 = 30,240 / 210 ≈ 144.0000 (rounded to four decimal places).
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PLEASE HELP THIS IS WORTH 100 POINTS
You will not be writing a complete argumentative essay.
Topic question: Should violent video games be banned?
Instructions: You will organize an argument for banning violence from teens’ video games because violent video games are harmful. Read the evidence below and then organize your argument. (Copy and paste the outline below into the feedback box and add your information.)
Argument Organizer
Claim:
In your own words
Reason 1:
In your own words
Support for Reason 1:
Quote from the evidence below
Reason 2:
In your own words
Support for Reason 2:
Quote from the evidence below
Counterclaim:
What is the opposing point of view
Rebuttal Support:
Quote from the evidence below
Conclusion Clincher:
Negative effects that will occur if your readers do not follow your claim
____________________________________
EVIDENCE 1
Negative Effects of Violent Video Games
In studies conducted by neuroscientists, it was found that teens who regularly play violent video games have lower rates of success in school than teens who do not play violent video games. The same parents who ban violent televisions shows from being watched in their homes must also be careful about the types of video games their teens play. Teens love their games, but their future is at stake.
____________________________________
EVIDENCE 2
Negative Effects of Violent Video Games
Fights among best friends and disagreements with peers are a natural part of a teen's daily life, but studies have consistently shown that teens who play violent video games on a regular basis are more aggressive with peers than teens who do not play these games. Is society willing to ban these violent games to support teen relationships?
Excerpt from "Adolescent Health Sociology Journal
____________________________________
EVIDENCE 3
Negative Effects of Violent Video Games
A study conducted by teen psychologists found that teens who regularly play violent video games are more prone to having fights and confrontations with adults at home, school and work. Teens want the freedom to play games of their choice, but they need to be aware of the dangers.
Study by Anderson, Gentile and Buckley (2007)
Based on the information above, the main argument of this paper is that violent video games should be banned for teenagers because they have negative effects on their behavior.
What statements stand out from the excerpts?The excerpts focus on two main arguments which are:
Teens who play violent video games are more aggressive.Teens who play violent video games tend to have more fights with their friends and family.According to the above, the claims and arguments would be as follows:
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Please answer this question, I need it done desperately!!
The question is in the picture but if you need a clearer version i’ll put it down below:
Alice and Charlie share some money in the ratio 5:12.
Charlie gets £108. How much does Alice get.
Tania is riding a train for $43.6$ miles to get to her destination. The train has $14.3$ more miles to travel before arriving at Tania's destination.
Which equation and solution correctly represent how many miles, $m$ , the train has already traveled?
Responses
Answer:
The answer to your problem is:
m +14.3 =43.6
m =29.3
Step-by-step explanation:
Miles to travel: 43.6
Miles left to travel: 14.3
To find the amount of miles that the train has already traveled (m), we know that the sum of that value (m) and the miles left to travel (14.3) is equal to the total miles (43.6)
m +14.3 = 43.6
m = 43.6-14.3= 29.9
Thus the answer to your problem is,
m +14.3 =43.6
m =29.3
Can someone help me please
Answer:
8) P=32 feet
9) W=5 feet
10) P=28 Inches
Step-by-step explanation:
I'm unsure if I got the correct answer, mind if you help?
Answer:
Yes, you got the correct answer, it's y=-4
The weekly profits of a Company A is determined by multiplying the number of units sold by the cost per unit. The company sold 2000 units one week at a price of $10 per unit. For each $5 increase in cost per unit, the company sells 10 fewer units.
The weekly profits of Company B is represented by y.
What quadratic inequality represents a week where the profits of Company B is less than Company A?
The correct weekly profit of company B as represented by quadratic inequality is as below:
y≤−50x2+19950x+20,000 y less than or equal to negative 50 x squared plus 19950 x plus 20,000
What is the initial weekly profit?
The initial weekly profit is determined as the initial price of $10 multiplied by 2,000 units sold in one week.
However, a change in price by $5, I mean an increase of $5 means that the quantity sold falls from 2,000 units to 1,990 units, however, it is evident that volume falls but the profit would increase the increase in profit by $5 on 1,990 units is more than the decrease in sales revenue by 10 units, hence, the quadratic equation should have an equal to sign and less than not just less than.
Profit after decrease of 10 units=1990*($10+$5)
Profit after decrease of 10 units=$19,950(the option that $19,950 and > or = signs is correct)
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Assume the probabilities of a child being allergic to the following foods are as follows:
.014 for nuts
.043 for dairy
.031 for gluten
Calculate the probability that a child is NOT allergic to nuts.
The probability that a child is not allergic to nuts is 0.986, or 98.6%.
The probability that a child is not allergic to nuts can be calculated by subtracting the probability of being allergic to nuts from 1.
Given the probabilities of a child being allergic to nuts, dairy, and gluten, we are interested in finding the probability that a child is not allergic to nuts.
The probability of being allergic to nuts is given as 0.014.
To find the probability that a child is not allergic to nuts, we subtract this value from 1.
P(Not allergic to nuts) = 1 - P(Allergic to nuts) = 1 - 0.014 = 0.986
Therefore, the probability that a child is not allergic to nuts is 0.986, or 98.6%.
This calculation is based on the assumption that being allergic to nuts and being allergic to other foods are independent events.
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URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!
Answer:
m=-1/2
Step-by-step explanation:
(x1,y1)=(9,4)
(x2,y2)=(3,7)
m= y2−y1 / x2−x1
= 7−4 / 3−9
= 3 / −6
m= -1/2
Brainliest
Answer:
(6,5.5)
Step-by-step explanation:
(9+3)/2,4+7/2
(12/2),(11/2)
(6,5.5)
when solving proportions, we set the cross products equal and then we _____________.
When solving proportions, we set the cross products equal, and then we solve for the unknown variable.
When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.
For example, consider the proportion: a/b = c/d
To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:
a * d = b * c
This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.
By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.
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Melanie and noah are baking a birthday cake for franceca. The recipe call for 3/4 meauring cup and noah ha a 1/8 meauring cup. Which cup hould they ue
They should use 6 cup of Noah's measuring cup
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
Recipe call = 3/4Noah's cup = 1/8Number of cup = ?Calculating the number of cup the should use:
Number of cup = Recipe call / Noah's cup
Number of cup = (3/4) / (1/8)
Number of cup = 3*8 / 4*1
Number of cup = 24/4
Number of cup = 6
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Correctly written question:
Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?
Using a ruler and a pair of compasses, construct a right-angled triangle with a base of 6 cm and a hypotenuse of 11 cm.
How to construct the right-angled triangle with a base of 6 cm and a hypotenuse of 11 cm.
Constructing the TriangleGiven:
Base = EF = 6 cmHypotenuse = ED=11 cmThe angle between EF and ED= 90֯To find:
Construct a right-angle triangle DEF
1. Draw the line segment2. Then mark the center of the line segment.3. In the compass set its width to 6 cm.4. Keep the pointer of the compass on the midpoint C and marc arcs on both sides of C5. Mark points E and F where the arc crosses the line.6. Again set the width of the compass to the length of the hypotenuse, which is 11 cm.7. Keep the pointer of the compass in E and draw an arc above midpoint C.8. Repeat the above step keeping the pointer on F.9. Label the point as D where the arcs cross.10. Join the points DE and DF with the scale.11. Thus, we get the right-angled triangle DEF of necessary measurements
The constructed right-angle triangle DEF is given below:
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Which of the following is equivalent to (3a + 5b) + 7c?
3a + (5b + 7c)
3a(5b + 7c)
7c(5b + 3a)
8ab + 7c
Answer:
3a + (5b + 7c)
Step-by-step explanation:
The answer cannot be 3a(5b +7c) because when the number is immediately before the brackets, it signifies multiplication. therefore the 3a(5b+7c) would be equivalent to 15ab+21ac
the answer cant be 7c(5b+3a) because of the same explanation as the one above, therefore 7c(5b+3a) would be equivalent to 35cb+21ca
the answer finally cant be 8ab+7c because it means that one added 3a and 5b giving you 8 but it cannot be ab because ab is equivalent to a×b, hence, one cant put a multiplied algebraic expression with an added number
The equation equivalent to the the expression (3a + 5b) + 7c is 3a + (5b+7c). Hence, the first option is the correct one.
What is an expression?In mathematics, expressions are assertions that must contain at least two words with variables or terms with numbers in them, or both, and connect them with an operator. It is possible for the mathematical operators to be addition, subtraction, multiplication, or division.
For instance, the equation x + y has the terms x and y with an addition operator in between. Numerical expressions, which just contain numbers, and algebraic expressions, which also include variables, are the two types of expressions used in mathematics.
The first option is correct because it does not affect the main equation rest are not the same as the equation.
For example, let's take the second equation :
3a (5b + 7C)
After solving this option we get 15ab + 21 ac so it is incorrect because it changed the main expression.
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23. F is the centroid of ACE. AD = 15x² + 3y. Write expressions to represent A. F and FD
In a triangle EAC, F is the centroid and two medians, then the required expressions are 10x² + 2y , 5x² +y respectively.
The centroid is the centre point of the object. It is a point at which three medians of a triangle meet. Properties :
The centroid is also called center of figure.The medians are divided into a two ratio one by the centroid.The centroid of a triangle is always inside a triangle.We have a triangle AEC, with centroid point F. Here, two medians of triangle AEC. Here, AD = 15x² + 3y, we have to determine the expression for bigger and smaller parts of median. As we know, centroid point F, divides median into ratio, 2: 1, i.e., bigger divided part/smaller divided part = 2/1
First expression for bigger divided part of median = (2/3) (15x² + 3y)
= 10x² + 2y
second expression for smaller divided part of median = (1/3) ( 15x² + 3y)
= 5x² + y
Hence, required expression are 10x² + 2y and 5x² + y.
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Danielle earns $50 in wages per day and earns $5 commissions for every pair of shoes she sells. If she wishes to earn at least $120 in one day, how many pairs of shoes must she sells
Answer:
24 shoes.
Step-by-step explanation:
I did 120 divided by how much money she makes for every pair of shoes she sells. 24 times 5 equals 120
Answer:
She will have to sell 14 pairs of shoes
Step-by-step explanation:
120 minus 50 because that's what she make a day no matter what so that 70 then 70 divided by 5 that is 14.
Work out the area of triangle ABC.
Answer:
4 cm²
Step-by-step explanation:
Area = ½.bh
b = base (cm²)
h = perpendicular height, i.e. BD (cm²)
\(h^{2} = (2 \sqrt{5} )^{2} - (3 \sqrt{2} )^{2} \\ {h}^{2} = 20 - 18 \\ {h}^{2} = 2 \\ h \: = \sqrt{2} \)
\(b \: = 3\sqrt{2} + \sqrt{2} \\ b \: = 4 \sqrt{2} \)
\(Area \: = \frac{1}{2} .(4 \sqrt{2} )( \sqrt{2} ) \\ Area \: =4\)
Check the picture below.
so we know the triangle has an altitude/height of √2, then
\(\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=\stackrel{AD}{3\sqrt{2}}+\stackrel{DC}{\sqrt{2}}\\ \qquad 4\sqrt{2} \\h=\sqrt{2} \end{cases}\implies \begin{array}{llll} A=\cfrac{1}{2}(4\sqrt{2})(\sqrt{2})\implies A=2(\sqrt{2})^2\\\\ A=2\sqrt{2^2}\implies A=2\cdot 2\implies A=4 \end{array}\)
A baseball league finds that the speeds of pitches are normally distributed,with a mean of 89 mph and a standard deviation of 2.4 mph. One pitch isthrown at a speed of 85.2 mph. What is the Z-score of this pitch? Round youranswer to two decimal places.A. 1.58B. 1.28O C. -1.28OD. -1.58
Answer: D. -1.58
Explanation: The Z-score is calculated by taking the raw score, subtracting the mean, and then dividing by the standard deviation. This gives us (-85.2-89)/2.4 = -1.58
A party punch recipe calls for one 2-liter bottles of ginger ale, one gallon of fruit juice, and one half gallon of sherbet. Lola's punch bowl isn't large enough, so she has to cut the recipe down. If she uses only 3/4 gallon of fruit juice, how much of each of the other ingredients will she need?
If Lola uses only ³/₄ gallons of fruit juice, proportionately, she will need the following quantities of the other ingredients:
1¹/₂ liters of ginger ale³/₈ gallons of sherbet.What is the proportion?Proportion is the ratio or relative relationship of one value against another.
Proportion is used to show the quantity of a number contained in another.
Proportions are depicted using fractions, decimals, or percentages.
Available Ingredients for a Punch Recipe:
Bottles of ginger ale = 2 liters
Gallons of fruit juice = 1 gallon
Gallons of sherbet = ¹/₂ gallons
The proportion of fruit juice used = ³/₄ gallons
The proportion of ginger ale to be used = 1¹/₂ liters (2 x ³/₄)
The proportion of sherbet to be used = ³/₈ gallons (¹/₂ x ³/₄)
Thus, in proportion, Lola will use 1¹/₂ liters of ginger ale and ³/₈ gallons of sherbet if she cuts the recipe by using ³/₄ gallons of fruit juice.
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re-prove the result of problems iv, question 13 that (a, 6) [a, b] = ab for positive integers a and b using the fundamental theorem of arithmetic.
Using the fundamental theorem of arithmetic, we have proven that (a, 6) [a, b] = ab for positive integers a and b.
To prove that (a, 6) [a, b] = ab for positive integers a and b using the fundamental theorem of arithmetic, we'll proceed as follows:
Step 1: Prime factorization of a and 6:
Using the fundamental theorem of arithmetic, we can write a and 6 as products of their prime factors:
a = p1^k1 * p2^k2 * ... * pn^kn,
6 = 2^1 * 3^1.
Step 2: Finding the greatest common divisor (a, 6):
To find the greatest common divisor (a, 6), we consider the common prime factors between a and 6 and take the minimum exponent for each prime factor. In this case, the common prime factor is 2 with an exponent of 1. Therefore, (a, 6) = 2^1.
Step 3: Prime factorization of [a, b]:
Using the fundamental theorem of arithmetic, we can write [a, b] as a product of its prime factors:
[a, b] = p1^m1 * p2^m2 * ... * pn^mn.
Step 4: Finding the least common multiple [a, b]:
To find the least common multiple [a, b], we consider the prime factors between a and b and take the maximum exponent for each prime factor. In this case, we have already determined that the common prime factor is 2 with an exponent of 1. Therefore, [a, b] = 2^1.
Step 5: (a, 6) [a, b] = ab:
Substituting the values we found, we have:
(a, 6) [a, b] = 2^1 * 2^1 = 2^2 = 4.
Since ab = 4, we have proven that (a, 6) [a, b] = ab for positive integers a and b using the fundamental theorem of arithmetic.
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Please help me please help me show your own work
\(\[\frac{3}{2}\]\) is the scale factor for EFGH quadrilateral.
Given: Vertices of quadrilateral EFGH
To find: Scale factor of image EFGH
\(\[\frac{3}{2}{\rm{E}}( - 2, - 1) = {\rm{E}}\left( {\frac{3}{2} \times ( - 2),\frac{3}{2} \times ( - 1)} \right) = {{\rm{E}}^\prime }\]\)
Similarly, \(\[\frac{3}{2}\;{\rm{F}}(1,2) = {\rm{F}}\left( {\frac{3}{2} \times (1),\frac{3}{2} \times } \right) = {{\rm{F}}^\prime }\]\)
Similarly, \(\[\frac{3}{2}{\rm{G}}(6,0) = {\rm{G}}\left( {\frac{3}{2} \times (6),\frac{3}{2} \times 0} \right) = {{\rm{G}}^\prime }\]\)
Similarly, \(\[\frac{3}{2}{\rm{H}}(2, - 2) = {\rm{G}}\left( {\frac{3}{2} \times (2),\frac{3}{2} \times ( - 2)} \right) = {{\rm{H}}^\prime }\]\)
Hence, \(\[\frac{3}{2}\]\) is the scale factor for EFGH quadrilateral.
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help help help help help pls
Answer:
I believe its C but I'm not sure
Step-by-step explanation:
Answer is C) -10
x+115+x+85=180
2x=-20
x=-10
Kim started a savings account that can be modeled with A = 500*(1.035) what is the yearly percent
increase according to the model?
A. 3.5%
B. 35%
C. 5%
D. 103.5%
Please help
Answer:
3.5% because 1.035 * 100 = 3.5
Answer:
3.5
if you take 100 times 1.035 you get 103.5
this is the question.
solve (3.4)x(0.2)
Answer:
0.68
Step-by-step explanation:
Answer:
0.68
Step-by-step explanation:
If Jenny worked the same shifts as Susan and had the same income of $7,000 last year, will she also need to file a tax return?
If Jenny worked the same shifts as Susan and had the same income of $7,000 last year, then she do not need to file a tax return because her total income is below the filing threshold.
Whether Jenny needs to file a tax return or not depends on her total income and the types of income she received.
If Jenny had the same income of $7,000 last year as Susan and is single with no dependents,
She will not be required to file a federal tax return for the 2022 tax year as long as her total income is below the filing threshold because for tax year 2022, the filing threshold for single taxpayers under the age of 65 is $12,950.
Therefore , Jenny do not need to file a tax return .
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Jim estimates the width of his wall to be 8 feet. The actual wall measures 8.25 feet wide. What is Jim’s percent error?
Jim's percent error is 3.03%.
What is the percentage error?The percentage error is given as the difference between the actual value and the estimated value divided by the actual value, multiplied by 100%.
The percentage error is a relative value that compares the actual value and the estimated value to explain any deviations.
Estimated width of wall = 8 feet
The actual width of the wall = 8.25 feet
The difference in estimate = 0.25 feet (8.25 - 8)
Percentage Error = 3.03% (0.25/8.25 x 100)
Thus, we can conclude that Jim made a percentage error of 3.03% in his estimate of the width of the wall.
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Mary prepared sandwiches for the seminar participants. She bought 5 loaves of bread at 22.50 pesos each, 2 bottles of mayonnaise at 55.50 a bottle and 1.5 kilograms of ham at 240 pesos a kilogram. If she gave the saleslady 1 000, pesos, How much change did she receive?
1. What is asked?
2. What are given?
3. What is/are the hidden question?
4. What operations will you use to solve the problem?
5. What is number sentence?
6. What is the answer?
pasagot po tnx
I will mark you as brainliest if your answer is good :3
Answer:
416.50 pesos
Step-by-step explanation:
Given
Represent the bread with b.
Mayonnaise with m
Ham with h
\(Amount\ Paid = 1000\)
Required
Determine the change
From the question: a loaf costs 22.50
This is represented as:
\(b = 22.50\)
5 loaves will be:
\(5*b = 22.50*5\)
\(5b = 112.50\)
A bottle of Mayonnaise costs 55.50
This is represented as:
\(m = 55.50\)
2 bottles will be:
\(2*m = 55.50*2\)
\(2m = 111\)
Lastly,
1kg of ham costs 240
This is represented as:
\(h =240\)
1.5kg will be:
\(1.5*h =240*1.5\)
\(1.5h =360\)
The cost of the items is:
\(Costs = 5b + 2m + 1.5h\)
This gives:
\(Costs = 112.50 + 111 + 360\)
\(Costs =583.50\)
Her change is calculated as:
\(Change = Amount\ Paid- Cost\)
\(Change = 1000 - 583.50\)
\(Change = 416.50\)
CASE :
A stationery shop has been running for 10 years and is located
near a campus where you study in Jakarta. You often stop by this
store to buy stationery, markers, rulers, and photocopiers for
co
The given paragraph states that a stationery shop has been running for 10 years near campus in Jakarta.
Students like the asker often visit this store to purchase stationery, markers, rulers, and photocopiers.
The word "been" is a past participle of the verb "be." It is used to show the completion of an action in the past.
In this case, it implies that the stationery shop has been operating for the past 10 years near the campus.
The sentence can be rewritten as follows to make use of the word "been":
"The stationery shop has been providing stationery, markers, rulers, and photocopiers to students near the campus for 10 years."
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find the volume of the solid generated by revolving calculator
Assuming a basic rectangular calculator, we can consider rotating it around different axes, such as the x-axis or the y-axis. The resulting solid may be a cylinder, a solid with a hole, or a more complex shape.
To find the volume of the solid generated by revolving a calculator, we first need to determine the shape formed when the calculator is rotated around a given axis. Let's consider two scenarios:
Rotation around the x-axis:
If the calculator is rotated around the x-axis, the resulting solid will be a solid with a hole. The outer shape is a cylinder, and the hole in the center represents the volume of the calculator. To calculate the volume, we can use the formula for the volume of a cylinder, subtracting the volume of the hole. If the radius of the calculator is given as r and the height as h, the volume can be calculated as V = πr^2h - πr^2h', where h' is the thickness of the calculator.
Rotation around the y-axis:
If the calculator is rotated around the y-axis, the resulting solid will be a cylinder without a hole. The radius of the cylinder will be the width of the calculator, and the height will be the thickness. In this case, the volume can be calculated directly using the formula for the volume of a cylinder, V = πr^2h, where r is the width and h is the thickness of the calculator.
By determining the shape formed by the rotation and applying the appropriate volume formula, we can calculate the volume of the solid generated by revolving the calculator.
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All points of the step function f(x) are graphed.
On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 3, 1) to (negative 2, 1). Each segment is 1 unit lower and 1 unit farther to the right than the previous segment. The right-most segment goes from (0, negative 2) to (1, negative 2).
43 POINTS!!! I NEED HELP!!! What is the range of f(x)?
−3, −2, −1, 0, 1
−2, −1, 0, 1
all real numbers such that −3 < y ≤ 1
all real numbers such that −2 < y ≤ 1
Answer:
On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 5, 3) to (negative 4, 3). Each segment is 1 unit lower and 1 unit farther to the right than the previous segment. The right-most segment goes from (2, negative 4) to (3, negative 4).
Step-by-step explanation:
Answer:
B) −2, −1, 0, 1
Hope This Helps!
PLEASE HELP IM DESPERATE AND WILL VOTE BRAINLIEST
Answer:
5
Step-by-step explanation:
Patrick won a sweepstakes and will receive money each week for 52 weeks. The first week he will receive $10. Every week after that he will receive 10% more than he got the previous week. How much money did he receive over the 52 weeks?
Patrick received a total of approximately $6,785.97 over the course of 52 weeks.
To calculate the total amount of money Patrick received over the 52 weeks, we can use the concept of a geometric sequence. The first term of the sequence is $10, and each subsequent term is 10% more than the previous term.
To find the sum of a geometric sequence, we can use the formula:
Sn = a * (r^n - 1) / (r - 1),
where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.
In this case, a = $10, r = 1 + 10% = 1.1 (common ratio), and n = 52 (number of weeks).
Plugging these values into the formula, we can calculate the sum of the sequence:
S52 = 10 * (1.1^52 - 1) / (1.1 - 1)
After evaluating this expression, we find that Patrick received approximately $6,785.97 over the 52 weeks.
As a result, Patrick collected about $6,785.97 in total over the course of 52 weeks.
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