Answer:
(a) To find the probability that a randomly selected individual is at least 55 years of age, we need to add up the values in the last row of the contingency table corresponding to the age group 55+ and divide it by the total number of respondents:
P(age 55+) = (515 + 617 + 567 + 560) / 2259 ≈ 0.2934
So the probability is approximately 0.2934.
(b) To find the probability that a randomly selected individual is more likely to buy a product emphasized as "Made in our country," given the individual is at least 55 years of age, we need to add up the values in the second row of the contingency table (corresponding to "Yes, more likely") for the age group 55+ and divide it by the total number of respondents in that age group:
P(more likely|age 55+) = 515 / (515 + 617 + 567 + 560) ≈ 0.2281
So the probability is approximately 0.2281.
(c) To determine whether 18-34-year-olds are more likely to buy a product emphasized as "Made in our country" than individuals in general, we need to compare the proportion of respondents who answered "Yes, more likely" in the 18-34 age group to the proportion in the entire sample. We can calculate these proportions by adding up the values in the second row of the contingency table for the 18-34 age group and for the entire sample, respectively, and dividing each by the total number of respondents in each group:
P(more likely|age 18-34) = 206 / (206 + 388 + 393 + 410) ≈ 0.1913
P(more likely|entire sample) = 1397 / (1397 + 69 + 793) ≈ 0.6251
The proportion of 18-34-year-olds who are more likely to buy a product emphasized as "Made in our country" is approximately 0.1913, while the proportion in the entire sample is approximately 0.6251. Therefore, it appears that individuals in general are more likely to buy a product emphasized as "Made in our country" than 18-34-year-olds.
Step-by-step explanation:
Problem 7
Remember that base five numbers are in a 1- 5 dots-and-boxes system. What are the place values in the
15 system? Fill in the blanks:
-
25 5 1
1. Draw a dots-and-boxes picture of the number 424five-
2. Draw a dots-and-boxes picture of the number 11 five
3. Use the dots and boxes method to find
424five 11five-
Rewritethedivisionsentence424_\text{five} \div
Answer:
sorrrrrry
Step-by-step explanation:
sorrrrrrŕreeeeeeey
Gasoline costs $0.83/liter and has a density of 900 g/liter. What is the cost of 48.5 kg of gasoline? Round to the nearest cent.
By simplification, the cost of 48.5 kg of gasoline is approximately $0.04.
What is density?
Density is a physical property of matter that describes how much mass is present in a given volume of a substance. It is defined as the amount of mass per unit volume and is usually expressed in kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³). The formula for density is:
Density = Mass / Volume
First, we need to find the volume of 48.5 kg of gasoline using its density:
Volume = Mass / Density = 48.5 kg / 900 g/L = 0.05389 L
Next, we can find the cost of this volume of gasoline:
Cost = Volume x Price per liter = 0.05389 L x $0.83/L = $0.0448
Rounding this to the nearest cent, we get:
Cost = $0.04
Therefore, the cost of 48.5 kg of gasoline is approximately $0.04.
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There is a bamboo 10 ft high, the upper end of which, being broken, reaches the ground 3 ft from the stem. Find the height of the break.
What is the translation for this graph?
O(x-3.y-4)
O(x-4. y 3)
O(x-3, y+4)
O(x-4.y-3)
The translation for this graph is represented by this transformation rule: C. (x + 3, y + 4)
What is a translation?In Mathematics, the translation of a geometric figure to the left simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.
In Mathematics, a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N while a horizontal translation to the right is modeled by this mathematical expression g(x) = f(x - N).
Where:
N represents an integer.g(x) and f(x) represent a function.Based on the graph of the parent function, is given by the following transformation rule:
x - 3 = 0
x = 3.
y - 2 = 2
y = 4
Therefore, the transformation rule is (x, y) → (x + 3, y + 4)
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Complete Question:
What is the translation for this graph?
O(x-3.y-4)
O(x-4. y 3)
O(x+3, y+4)
O(x-4.y-3)
Peace's average score on 5 tests was 88. If she dropped her lowest score, her average would be 90. What is her lowest score?
Answer:
Her lowest score was 80.
Step-by-step explanation:
5 x 88 = 440
4 x 90 = 360
An equation we can use to find her lowest score:
Let x represent her lowest score
440 - x = 360
440 - 360 = x
x= 80
What percent of the customers purchased fewer than 6 flowers
Finding the percentage of consumers who bought fewer than six flowers requires figuring out what proportion of the data is below six. [tex]40[/tex] % of customers purchased fewer than 6 flowers.
What is the parameter for calculating percent?Based on the box plot, we can see that the minimum value is 2, and the maximum value is 12. The box plot also shows that the median (50th percentile) is between 6 and 8.
To find the percent of customers who purchased fewer than 6 flowers, we need to determine what percent of the data is below 6.
From the box plot, we can see that the lower quartile (25th percentile) is at 2, and the upper quartile (75th percentile) is at 10.
Therefore, the interquartile range (IQR) is [tex]10 - 2 = 8.[/tex]
To find the percentage of customers who purchased fewer than 6 flowers, we need to find the percentile rank of 6.
Percentile rank = ((value below target) / (total values)) x 100
Percentile rank of [tex]6 = ((2 / 5) \times 100) = 40[/tex]%
Therefore, [tex]40[/tex] % of customers purchased fewer than 6 flowers.
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The given question is incomplete. the complete question is given below.
Rodrigo works at a flower shop. He recorded how many flowers each customer purchased
yesterday. This box plot shows the results.
Flowers purchased
++
2
6
8
10
12
What percent of the customers purchased fewer than 6 flowers?
%
Type in the coordinates of the vertices of the image of quadrilateral WXYZ after it is reflected over the y-axis.
W (6, 2) → W' ( , )
X (12, 2) → X' ( , )
Y (10, -3) → Y' ( , )
Z (4, -3) → Z' ( , )
The coordinates of the vertices after the given reflection is:
W (6, 2) → W' ( -6, 2)X (12, 2) → X' (-12 , 2)Y (10, -3) → Y' ( -10, -3)Z (4, -3) → Z' (-4, -3)Which are the coordinates after a reflection over the y-axis?Remember that for a general point (x, y), a reflection over the y-axis only changes the sign of the x-coordinate.
Then we will have the transformation:
(x, y) --> (-x, y)
Now we need to apply that to each one of the given vertices, we will get:
W (6, 2) → W' ( -6, 2)X (12, 2) → X' (-12 , 2)Y (10, -3) → Y' ( -10, -3)Z (4, -3) → Z' (-4, -3)These are the coordinates of the vertices of the quadrilateral after the reflection over the y-axis.
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A company is planning to manufacture a certain product. The fixed costs will be $428136 and it will
cost $126 to produce each product. Each will be sold for $639.
Find a linear function for the profit, P, in terms of units sold x
Answer:
Step-by-step explanation:
The profit function for a company is calculated as the difference between the revenue and the total cost. The revenue is calculated by multiplying the number of units sold by the price per unit. The total cost is calculated by adding the fixed costs to the variable costs (calculated by multiplying the number of units produced by the cost per unit).
In this case, we can calculate the profit function P(x) as follows:
P(x) = Revenue - Total Cost P(x) = (Price per unit * Units sold) - (Fixed Costs + Variable Costs) P(x) = (639x) - (428136 + 126x) P(x) = 639x - 428136 - 126x P(x) = 513x - 428136
So for this company, a linear function for their profit in terms of units sold x would be P(x) = 513x - 428136.
Find the critical numbers of the function. (Enter your answers as a comma-separated list.)
f(x) = 3x² - 4x
Answer:
Critical points are : 2/3, -4/3
Step-by-step explanation:
27. The sets of ordered pairs below represent the cost to fix a plumbing issue based on the number of hours. The first coordinate represents the hours and the second coordinate the cost.
Select the sets of ordered pairs that are proportional relationships.
A. {(2,160),(4,320),(5,400),(8,640)}
B. {(1,90),(3,170),(4,210),(6,290)}
C. {(1,135),(4,210),(6,255),(8,290)}
D. {(2,150),(3,225),(7,525),(8,600)}
E. {(4,220),(5,275),(6,330),(7,385)}
The correct option is A, B and E sets of ordered pairs
A. {(2,160),(4,320),(5,400),(8,640)}B. {(1,90),(3,170),(4,210),(6,290)}E. {(4,220),(5,275),(6,330),(7,385)}What is pair?Pair is twο identical οr similar items that are intended tο be used tοgether. Examples οf pairs include shοes, sοcks, glοves, scissοrs, and chοpsticks. Pairs are οften used as a way tο create symmetry in a design, such as a pair οf matching curtains, οr tο fοrm a cοmplete unit, such as a pair οf bοοkends. In mathematics, a pair is twο elements that are related in sοme way and are usually represented by an οrdered set, such as (a, b).
Fοr example, in set A, the ratiο between the twο cοοrdinates is 2:160, 4:320, 5:400, and 8:640, which is the same in each pair.
Therefοre, the cοrrect οptiοn is A,B and E
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Find the equation of a line that passes through the point (-3,-1) and has a gradient of 2.
Leave your answer in the form
y=mx+c
-1=2(-3)+c
-1=-6+c
-1+6=c
c=5
therefore...
y=2x+5
Step-by-step explanation:
In
a rectangular garden has dimensions of 5 feet by 12 feet. if the length and width of the garden are increased by the same amount, and the resulting area is 144 square feet, how much was each side increased?
Based on the data, we can infer that the difference in length after the garden increment is 4 feet on each side.
How to find how much the garden increased in length and width?To find how much the garden increased in length and width we must carry out the following procedure:
First of all we must calculate the area of the garden:
side * side = area5 * 12 = 60According to this result we know that the increase is more than half in the values. Therefore, we can add 3 or more feet to each side and recalculate the area of the garden.
5 + 3 = 812 + 3 = 158 * 15 = 120In this case we add 3 feet to each side and calculate the area that would give these side measurements 8 and 15. The area would be 120, you still wouldn't have enough length on the sides to have an area of 144.
5 + 4 = 912 + 4 = 1616 * 9 = 144In this case we add 4 feet on each side and calculate the area that would be given with these side measurements 9 and 16. The area would be 144, it would be the measurement mentioned in the statement.
Based on the above, we can infer that the rise is 4 feet on each side.
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Is y= |x| + 4 a relation or function
Answer: probably a function
Step-by-step explanation:
classifying parallelograms
The values are, ∠Q = 96°, x = 1, ∠QTR = 47°
Define the term parallelogram?A quadrilateral with two sets of parallel sides is referred to as a parallelogram. As a result, a parallelogram's opposite sides are parallel and congruent in length, and its opposite angles are similarly congruent.
Given that the diagram QRST is a parallelogram then the parallel sides and angles are equal.
So, ∠Q = ∠S (Equal angles)
∠Q = 96°
and, QT = RS (Equal parallel sides)
6x = 6
x = 1
Co-interior angle of figure, RS║QT and ST is a transversal line,
So, ∠RST + ∠STQ = 180°
96° + 37° + ∠QTR = 180° (here ∠STQ = 37° + ∠QTR)
∠QTR = 180° - 133°
∠QTR = 47°
Therefore, The values are, ∠Q = 96°, x = 1, ∠QTR = 47°
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Use the quadratic formula to find the exact solutions of x2 − 5x − 2 = 0. x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x equals 5 plus or minus the square root of 33, all over 2 x equals negative 5 plus or minus the square root of 33, all over 2 x equals 5 plus or minus the square root of 17, all over 2 x equals negative 5 plus or minus the square root of 17, all over 2
Answer: The correct solution using the quadratic formula is:
x = (-(-5) ± sqrt((-5)^2 - 4(1)(-2))) / (2(1))
Simplifying:
x = (5 ± sqrt(33)) / 2
Therefore, the exact solutions of x^2 - 5x - 2 = 0 are:
x = (5 + sqrt(33)) / 2 or x = (5 - sqrt(33)) / 2
So the final answers are:
x = 2.79 or x = 2.21 (rounded to two decimal places)
Your welcome (:
Answer:
C
Step-by-step explanation:
It was right for me
Select the values that make the inequality y/8 ≤ 2. true. Then write an equivalent inequality, in terms of y. (Numbers written in order from least to greatest going across.)
y/8 ≤ 2 is equivalent to y ≤ 16.
What is inequality?Inequality in math is a statement that two expressions or values are not equal. This can be expressed using symbols such as >, <, ≥, or ≤. Inequality problems are used to solve for a variable that is not necessarily equal to a given value. An example of an inequality problem is finding the value of a variable in the equation x > 5. The solution to this problem is all real numbers greater than 5.
This is happening because when we divide both sides of the inequality y/8 by 8, we are essentially dividing both sides of the inequality by the same number. This preserves the order of the numbers and the inequality sign. So, dividing both sides by 8 results in y ≤ 16, which is the same as y/8 ≤ 2.
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The hourly wage of some Toyota automobile assembly line workers is being increased annually by the same percentage
If their wage went from $7.00 to $13.27 in 12 years what is the doubling time?
The doubling time for the hourly wage is approximately 14.54 years.
We can use the formula for exponential growth to solve for the doubling time: [tex]A = P * (1 + r)^t[/tex]
Where:
A = final amount (doubled hourly wage = $7.00 * 2 = $14.00)
P = initial amount (hourly wage = $7.00)
r = annual growth rate (unknown)
t = time (doubling time = unknown)
We can also use the given information to set up another equation:
[tex]13.27 = 7 * (1 + r)^{12[/tex]
To solve for r, we can isolate the exponential term and take the 12th root of both sides:
[tex](1 + r)^{12} = 13.27 / 7[/tex]
[tex]1 + r = (13.27 / 7)^{(1/12)[/tex]
[tex]r = (13.27 / 7)^{(1/12)} - 1[/tex]
r ≈ 0.0477
Now that we know the annual growth rate is approximately 0.0477, we can use the doubling time formula:
t = log(2) / log(1 + r)
t = log(2) / log(1 + 0.0477)
t ≈ 14.54
Therefore, the doubling time for the hourly wage is approximately 14.54 years.
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Which of the following items would you most likely not be able to keep in Chapter 7 bankruptcy?
a.
equity in your home (the amount of your home that you actually owe)
b.
a genuine leather jacket worth $600
c.
a sports car with $9,000 equity
d.
automotive tools that you own
Please select the best answer from the choices provided.
The answer is (c) a sports car with $9,000 equity.
What is the equity?
Equity is the value of the shares you have purchased from a company. The equity you have gives value to you as a person based on your business or a business you support.
In a Chapter 7 bankruptcy, certain property may be exempt from liquidation, while other property may be subject to liquidation to repay creditors.
The exempt property is generally determined by state law, and may include things like a certain amount of equity in a primary residence, a vehicle, and personal property such as clothing and household goods.
Answer (a) refers to equity in a home, which may be exempt in certain cases depending on the state's homestead exemption laws. If the amount of equity in the home falls within the exemption limit, then it may be able to be kept in a Chapter 7 bankruptcy.
Answer (b) refers to a genuine leather jacket worth $600. In many cases, clothing and personal items are exempt in a Chapter 7 bankruptcy, so it is likely that the jacket could be kept.
Answer (c) refers to a sports car with $9,000 equity.
Depending on the state's motor vehicle exemption laws, the equity in the car may exceed the exemption limit and may need to be liquidated to repay creditors.
Answer (d) refers to automotive tools that you own.
Depending on the state's personal property exemption laws, the tools may be exempt and may be able to be kept in a Chapter 7 bankruptcy. However, if the value of the tools exceeds the exemption limit, they may need to be liquidated to repay creditors.
Therefore, the answer is (c) a sports car with $9,000 equity.
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Employees at a computer store are paid a base salary of $2,000 a month plus an 8% commission on sales over $7,000 for the month. How much must an employee sell a month to make a total of $4,000 for the month?
The employee must sell $32,000 worth of merchandise in the month to make a total of $4,000.
How to calculate the employee must sell a month to make a total of $4,000 for the monthLet's first find out how much commission an employee would earn if they sold $x in a month,
where x is the amount of sales over $7,000.
The commission earned would be 8% of x, or 0.08x.
To earn a total of $4,000 for the month, the employee would need to earn a base salary of $2,000 plus an additional $2,000 in commission.
So we can set up the following equation:
0.08x + 2000 = 4000
Subtracting 2000 from both sides, we get:
0.08x = 2000
Dividing both sides by 0.08, we get:
x = 25000
Therefore, the employee must sell $25,000 in a month to make a total of $4,000 for the month. Note that this is the amount of sales over $7,000, so the total sales for the month would be $25,000 + $7,000 = $32,000.
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Any body know the answer to this ?
Answer:
Step-by-step explanation: its 13
find the equation of the line using the point-slope formula. write the final equation using the slope-intercept form. (1,2) with a slope of -5/6
Answer: The point-slope formula is given by:
y - y1 = m(x - x1)
where m is the slope of the line and (x1, y1) is a point on the line.
We have a point (1,2) and a slope of -5/6. Substituting these values into the point-slope formula, we get:
y - 2 = (-5/6)(x - 1)
Expanding and rearranging this equation gives:
y - 2 = (-5/6)x + (5/6)
y = (-5/6)x + (5/6) + 2
y = (-5/6)x + (17/6)
This is the equation of the line in slope-intercept form, y = mx + b, where m is the slope (-5/6) and b is the y-intercept (17/6).
Step-by-step explanation:
Find the equation of the line shown.
Answer:
y = -x + 9
Step by step explanation:
In order to write the equation of the line, we can write it in slope intercept form [tex]y=mx+b[/tex] where m is the slope and b is y intercept. Judging by the graph, we can see that the line is passing through (0,9) which makes that our y intercept.
To find the slope, we can count the slope using [tex]\frac{rise}{run}[/tex] or using the slope formula. For the sake of simplicity, we will count the slope, Counting the slope, we get [tex]\frac{-1}{1}[/tex] or simply [tex]-1[/tex]. Now we just have to plug our numbers into the formula.
[tex]y=-x+9[/tex]
6.) Information collected from a random sample of 29 visitors to a civic art fair indicates an average amount of money spent per person (Symbol) of $38.75, with a sample standard deviation (s) of $6.33. Based on that information, develop a 99% confidence interval to provide an estimate of the mean expenditure per person for the entire population of visitors.
We can be 99% confident that the true mean expenditure per person for the entire population of visitors falls between $35.72 and $41.78.
What is the mean expenditure?Mean expenditure per person for the entire population of visitors refers to the average amount of money spent by each person who visited a particular place, calculated across the entire population of visitors. To calculate the mean expenditure per person, you would add up the total amount of money spent by all visitors and divide that by the total number of visitors.
To develop a 99% confidence interval (CI) to provide an estimate of the mean expenditure per person for the entire population of visitors, we can use the following formula:
CI = X ± Zα/2 * (s/√n)
Where:
X = sample mean = $38.75
s = sample standard deviation = $6.33
n = sample size = 29
Zα/2 = critical value from the standard normal distribution for a 99% confidence level, which is 2.576
Plugging in the values, we get:
CI = 38.75 ± 2.576 * (6.33/√29)
CI = 38.75 ± 2.576 * 1.176
CI = 38.75 ± 3.031
CI = [35.72, 41.78]
Therefore, we can be 99% confident that the true mean expenditure per person for the entire population of visitors falls between $35.72 and $41.78.
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The national history museum has collected 45 dinosaurs. George has collected 3/5 of this amount. How many dinosaurs has george collected?
(g3 math)
the total number of dinosaurs: George has collected 27 dinosaurs.
What is multiplication?Multiplication is a mathematical operation that involves combining two or more numbers to find their total or product. It is a way to represent repeated addition. For example, 3 times 4 can be written as 3 x 4, which means adding 3 to itself 4 times to get a total of 12. Multiplication is denoted by the symbol "x" or "·" or "*", and the numbers being multiplied are called factors or multiplicands, while the result is called the product. Multiplication can be done using different methods, such as memorization of multiplication tables, or using algorithms like long multiplication or lattice multiplication. Multiplication is a fundamental operation in mathematics, and it is used in many areas of science, engineering, and economics.
Given by the question.
To find out how many dinosaurs George has collected, we can start by calculating 3/5 of the total number of dinosaurs:
3/5 x 45 = 27
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Use the Fundamental Counting Principle to find the total number of possible outcomes.you didn't show me the steps
Therefore , the solution of the given problem of unitary comes out to be 105 different meal combos that could be made.
What is an unitary method?By combining the information obtained using this variable technique with all supplementary data from two individuals who used a specific tactic, the job can be completed. This mean that, if indeed the desired outcome materialises, either the stated person will be recognized or, in actuality, the colour by both huge processes will be skipped. For forty pens, a refundable charge of Rupees ($1.01) might be required.
Here,
b. The following formula can be used to determine the total interest charged over the loan's term:
=> total interest = (monthly payment X n) - P .
There have been a total of:
=> 120 = ten years times one year.
The entire interest paid is thus:
=> ($3,943.80) (total monthly installments * n) - P
=> (131.19 * 120) - 9900 (rounded to the nearest dollar)
So, rounded to the closest dollar, Reh will pay about $3,944 in interest for the duration of his loan.
=> 7 entree choices, 5 drink options, and 3 dessert options are available.
We must add the number of drink options, entree options, and dessert options together to get the total number of potential meal combinations:
=> 5 x 7 x 3 = 105
There are 105 different meal combos that could be made.
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What is the value of x?
Answer:
It was 8
Step-by-step explanation:
maaf kalo salah
semoga membantu
semangat belajar
Write two numbers that multiply to the value on top and add to the value on bottom.
Submit Answer
9
-10
Answer:
-9 & -1
Step-by-step explanation:
-9*-1=9
-9+(-1)=10
done lol
Answer:
-9 and - 1
Step-by-step explanation:
Because it is two negatives they will become a positive 9 when multiplied and when you add them - 9+(-1) the positive and negative sign become a negative so it is negative nine minus 1 which gives you - 10
2. Using BIDMAS order of operations, work out the answers to the following equations.
Answers:
1. 3 + 7 x (3 – 2) = ______
2. (3 + 7) x 10 – 5 = ______
3. 5 + (5 + 2) x (6 – 4) = ______
Using BIDMAS order of operations, we have: 1. 3 + 7 x (3 – 2) = 10; 2. (3 + 7) x 10 – 5 = 95; 3. 5 + (5 + 2) x (6 – 4) = 19.
What is BIDMAS?BIDMAS is a mnemonic acronym that stands for the order of operations in arithmetic expressions:
B: Brackets (or Parentheses)
I: Indices (or Powers)
D: Division
M: Multiplication
A: Addition
S: Subtraction
It is a rule to determine the order in which to perform mathematical operations in an expression that contains more than one arithmetic operation.
1. 3 + 7 x (3 – 2)
= 3 + 7 x 1 (subtracting inside the parentheses first)
= 3 + 7
= 10
Therefore, 3 + 7 x (3 – 2) = 10.
2. (3 + 7) x 10 – 5
= 10 x 10 - 5 (adding inside the parentheses first)
= 100 - 5
= 95
Therefore, (3 + 7) x 10 – 5 = 95.
3. 5 + (5 + 2) x (6 – 4)
= 5 + 7 x 2 (subtracting inside the parentheses first)
= 5 + 14
= 19
Therefore, 5 + (5 + 2) x (6 – 4) = 19.
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6. The table below displays the distances driven during each 1-hour interval of a 4 hour trip.
A. 235mi
B. 240mi
C. 245mi
D. 250mi
The total distance for the 4 hour trip can be calculated by adding the distances for each hour interval. 55.23 + 64 3/4 + 52 3/10 + 67.89 = 250 mi.
What is distance?Distance is the measurement of how far apart two points are in space. It is an important concept in mathematics, science, engineering, and many other disciplines. Distance can be measured in terms of length, time, speed, and direction. Distance is often measured in units such as meters, kilometers, feet, and miles, but it can also be measured using other units such as light years. Distance is a concept that can be used to describe the physical relationship between two objects, the location of an object relative to another object, the length of a journey, or the amount of time it takes to travel between two points.
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Find the value of r, when S=9000, P=6890, n=3
The interest rate is 9.6%.
What is Interest?Interest is the amοunt οf mοney paid οr earned fοr the use οf bοrrοwed mοney οr fοr the privilege οf keeping mοney in an accοunt. It is calculated as a percentage οf the principal (οriginal amοunt) and varies depending οn factοrs such as the interest rate, the length οf the lοan οr investment, and the cοmpοunding frequency.
Tο sοlve fοr the interest rate r, we can use the fοrmula fοr cοmpοund interest:
[tex]S = P*(1 + r)^n[/tex]
where S is the final amοunt, P is the principal (initial amοunt), r is the interest rate (as a decimal), and n is the number οf cοmpοunding periοds.
Plugging in the given values, we get:
[tex]9000 = 6890*(1 + r)^3[/tex]
Dividing bοth sides by 6890:
[tex]1.306 = (1 + r)^3[/tex]
Taking the cube rοοt οf bοth sides:
1.096 = 1 + r
Subtracting 1 frοm bοth sides:
r = 0.096 οr 9.6%
Therefοre, the interest rate is 9.6%.
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