Fernandez Corporation has a line of credit with Bank of Commerce for P5,000,000 for the 2020. For any amount borrowed, the bank requires the borrower a maintaining balance of 6%. Assuming the company needed P2,000,000 cash on June 30, 2016 and availed of the credit line of 10% Interest payable on December 31, 2021. Assuming further that the company has no existing deposit with the bank, what is the EIR from this transaction? a. 10.60% b. None of the above c. 10.61% d. 10.62%
the EIR from this transaction is 16.25% (Option B, None of the above).
To find the EIR from the transaction, we need to calculate the effective interest rate (EIR) on the loan. The formula for EIR is:
EIR = [(1 + r/n)ⁿ - 1] x 100
where r is the nominal interest rate, and n is the number of compounding periods per year.
In this case, the nominal interest rate is 10%, and the loan is payable on December 31, 2021, which is 5.5 years from June 30, 2016. Therefore, the number of compounding periods per year is 2 (since interest is payable semi-annually). Substituting these values into the formula, we get:
EIR = [(1 + 0.10/2)₂ - 1] x 100 = 10.25%
However, the bank requires a maintaining balance of 6% for any amount borrowed. Therefore, the effective interest rate is increased by this amount. Adding 6% to the EIR, we get:
EIR = 10.25% + 6% = 16.25%
Therefore, the EIR from this transaction is 16.25% (Option B, None of the above).
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HELP this is important!
Answer:
1. 11,17,23,29
2.t=19
3. +6
4. 4
5.57
Which graph represents the solution set to the system of inequalities?
{ y<−1/2x+2
y≥−3/2x+2
Answer:
The answer must be B because the rest are not possible.
Step-by-step explanation:
school a has 400 students and school b has 2700 students. a local newspaper wants to compare the distributions of sat scores for the two schools. which of the following would be the most useful for making this comparison?
When comparing the distributions of SAT scores for two schools, it is important to use a statistical measure that can accommodate the difference in the number of students in each school. In this case, since School A has 400 students while School B has 2700 students, the most useful statistical measure for making this comparison would be the percentage of students in each school who scored within certain SAT score ranges.
For example, instead of comparing the raw number of students who scored above a certain score threshold in each school, it would be more meaningful to compare the percentage of students in each school who scored above that threshold. This would give a more accurate representation of the distribution of SAT scores in each school, taking into account the different sizes of the student populations.
Another useful statistical measure for making this comparison would be to use box plots to visualize the distributions of SAT scores in each school. Box plots provide a clear and concise way to compare the minimum, maximum, median, and quartiles of SAT scores for each school.
In summary, the most useful statistical measures for comparing the distributions of SAT scores for School A and School B would be the percentage of students in each school who scored within certain score ranges, as well as the use of box plots to visualize the distributions.
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when b = 100 what is the value of 4b- 5 ^ 3?
Answer:
The value of 4b - 5^3 is 275
Step-by-step explanation:
Answer: Either 61,629,875 or 275, based off parenthesis
Step-by-step explanation:
If problem is 4b - (5)^3
4(100) - (5*5*5)
400 - (25 * 5)
400 - 125 =
275
If problem is (4b - 5)^3
(4(100) - 5)^3
(400 - 5)^3
(395 * 395 * 395)
( 156,025 * 395) =
61,629,875
I would go with the first option if you are. unsure about which one of the two to use.
If ray EB bisects ∠DEF, m∠DEB = 5x - 5 and m∠EDF = x + 7, what is the m∠DEB and the m∠DEF?
The measure of the bisected angles are-
∠DEB = 10 ∠EBF = 10What is meant by angle bisector?An angle bisector is a ray, segment, or line which divides a provided angle into two equal-sized angles. The term bisector or bisection refers to the process of dividing something into two equal parts. An angle bisector, for example, will divide a 60-degree angle into two 30-degree angles.In other words, it separates an angle into two congruent smaller angles.The given condition is;
Ray EB is the angle bisector of ∠DEF.
Thus,
∠DEB = ∠EBF
∠DEB = 5x - 5 and ∠EBF = x + 7,
Equating both angles;
5x - 5 = x + 7
Solving;
4x = 12
x = 3
Put the value of x in the angles;
∠DEB = 5x - 5
∠DEB = 5×3 - 5
∠DEB = 15 - 5 = 10
and,
∠EBF = x + 7
∠EBF = 3 + 7
∠EBF = 10.
Therefore, the measure of the bisected angles are found as 10° each.
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Create ABC by drawing AC. AC represents the foreman’s line of sight to the top of the landfill. What is m
Where the above is given, the required angle m∠BAC = 45°.
In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC
What is triangle?The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°
According to conditions angle b = 90°
The sum of angles of a triangle= 180°
That is a + b + c = 180
Therefore, c = a
a = (180 - b)/2
= (180 - 90) / 2
= 90 / 2
= 45°
Hence, the required angle m∠BAC = 45°
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?
Solve the following compound inequality.
9x + 6 > 132 and -7x + 19 < -128
The solution of the inequality 9x + 6 ≥ 132 and -7x + 19 < -128 is x ≥ 14 and x > 21.
How to solve compound inequality?Compound inequalities are a type of inequality that has two or more parts.
In other words, a compound inequality is an inequality that combines two simple inequalities.
Therefore, let's solve the compound inequality as follows:
9x + 6 ≥ 132 and -7x + 19 < -128
Let's solve them independently.
9x + 6 ≥ 132
subtract 6 from both sides of the inequality
9x + 6 ≥ 132
9x + 6 - 6 ≥ 132 - 6
9x ≥ 126
divide both sides by 9
x ≥ 126 / 9
x ≥ 14
-7x + 19 < -128
subtract 19 from both sides of the inequality
-7x + 19 - 19 < - 128 - 19
-7x < - 147
divide both sides by - 7
x > - 147 / -7
x > 21
Therefore, the solution is x > 21 and x ≥ 14
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9.95 rounded to the nearest whole number
Step-by-step explanation:
it is 10 because the numbers next to the decimals are greater than fifty u turn it into a larger number
5x34=
THIS IS FOR SOMETING I KNOW ANSWER
Answer:
170
Step-by-step explanation:
Answer:
170
Step-by-step explanation:
I multiplied 5 by 34.
What number is 33% of 264?
Answer:
87.12
Step-by-step explanation:
Answer:
12.5
Step-by-step explanation:
What type of number is -1/3
Answer:
a rational number
Step-by-step explanation:
Rational number are numbers that can be written as a fraction where both the numerator and denominator are integers. This means that both the top and bottom of the fraction are whole numbers.
True or false: In(x+y)- In(x+y)=0. Explain your thinking.
\(\huge \bf༆ Answer ༄\)
Let's solve ~
\( \sf ln(x + y) - ln(x + y) \)\( \sf ln( \frac{x + y}{x + y} ) \)\( \sf ln(1) \)\( \sf0\)[ Since, ln (1) = 0 ]
Therefore, the statement is true ~
Answer:
In(x+y) - In(x+y)
= In(\( \frac{x + y}{x + y} \))
= In(1)
=0
Hence, the statement is true!!
12 / | - 4 | x 3 + |5|
Answer:
Step-by-step explanation:
Given, 12 / (-4) * 3 + 5
Here we can use the BODMAS rule and solve this problem.
B ⇒ Brackets
O ⇒ Of
D ⇒ Division
M ⇒ Multiplication
A ⇒ Addition
S ⇒ Subtraction
Now, let’s solve this by applying the BODMAS rule.
BracketsIn the given sum we can find the Brackets in (-4).
12 / -4 * 3 + 5
OfThere is no Of in this sum.
Let’s gust ignore it.
12 / -4 * 3 + 5
DivisionIn this sum we can Divide 12 and -4.
-3 * 3 + 5
MultiplicationIn this sum we can Multiply -3 and 3.
-9 + 5
AdditionIn this sum we can Add -9 and 5.
-4
What are the five types of domain?
Domains having continuous boundaries, Lipschitz boundaries and C1 boundaries are three types of domain.
Define domain.The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x^2 and g(x)=1/x are all real integers with the exception of x=0. Additionally, we can define special functions with more constrained domains.
How to find domain?Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.
There are three types of domain in mathematics. Domains having continuous boundaries, Lipschitz boundaries, C1 boundaries, and others are frequently thought of as types of domains. An exterior or external domain is the interior of a bounded domain's complement, whereas a bounded domain is a domain that is a bounded set.
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The Colbert Real Estate Agency has determined the number of home showings given by its agents is the same each day of the week. Then the variable, number of sowings, is a continuous distribution.(True/false)
The statement, "Colbert "Real-Estate" Agency's number of home showings by its agents is same "each-day" of week, then variable for number of showings, is a continuous distribution" is False, because it represents a discrete distribution.
If the Colbert "Real-Estate" Agency has determined the number of "home-showings" by their agents is "same" each day of week, then variable "number of showings" is not a continuous distribution. Rather, it is a discrete distribution,
where the values can take on only finite number of values. In this case, the number of home showings can only be a whole number, such as 0, 1, 2, 3, etc.
A continuous distribution is the one where the possible values of the variable are not restricted to any particular set of numbers, and can include any value in a given range.
An example of a continuous distribution would be the height of adult humans, where any real number between 0 and infinity is a possible value.
Therefore, the statement is False.
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f(x) = 3x + 6, find the ordered pair when x = -1.
(-1,-3)
(-1,3)
(-1,-9)
(-1,9)
Answer:
(-1 ; 3)
Step-by-step explanation:
when they say find the ordered pair they simply mean find the corresponding y value when x = -1
* where you see x substitute-1 *
f(-1) = 3(-1) + 6
=3
pls i need this ASAP for a graded homework ill brainliest
Answer:
A) 7.5 feet, B) 6 feet, C)8.25 feet, D)4.875, E)15 feet, F)12.5 feet
Step-by-step explanation:
per inch, multiply by 1.5
Answer:
15
12
16.5
9.75
30
25
Step-by-step explanation:
The scale on a set of architectural drawings for a house is 1/2 inch = 1.5 feet. Find the length of each part of the house.
In my opinion, the easiest way to do this is to find how many feet equals 1 inch so that it is easier to multiply.
Multiply both sides of 1/2 inch = 1.5 feet to get
1 inch = 3 feet.
If every inch in the drawing equals 3 feet, then we can write this equation:
If s inches = 3s feet
We can use this a substitute the values given.
Now, let's dive into the problem.
1. Living room:
in this part, s=5, so 3s feet = 3 * 5 = 15 feet
2. Dining room:
s = 4, so 3s feet = 3 * 4 = 12 feet
3. Kitchen:
s = 5.5, so 3s feet = 3 * 5.5 = 16.5 feet
4. Laundry room:
s = 3.25, so 3s feet = 3 * 3.25 = 9.75 feet
5. Basement:
s = 10, so 3s feet = 3 * 10 = 30 feet
6. Garage
s = 8 + 1/3, so 3s feet = 3 * 8 1/3 = 25 feet
I hope this helps! Feel free to ask any questions!
Which is the better value?
A. 6 ounces of hot Cheetos for $2.16
B. 10 ounces of hot Cheetos for $2.70
Answer:
B
Step-by-step explanation:
2.16/6 = 0.36 cents per 1 ounce
2.70/10 = 0.27 center per 1 ounce
Therefore B. 10 ounces of hot Cheetos for $2.70
A grocery store offers two different sized boxes of cereal. If the boxes are rectangular prisms, which box of cereal is the better buy?
The supermarket receives $2.00 for each box of cereal purchased. For the second box, the price per unit volume is $3.
What is cost?The sum of money needed to buy a good or service is its cost. It is the monetary value of products or services. Cost is the total amount spent to acquire a specific commodity or service. Cost can also be used to describe the sum of money spent on a specific project or activity. It is a measurement of the resources invested in acquiring a good or service, including the cost of the item itself, the labour involved, and other related costs. Cost is a crucial consideration when making business decisions since it determines how much a company will make or lose.
Comparison between the two cereal boxes is required to decide which one is the best investment. Both the cost and volume of each box must be considered in this comparison. V = lwh is the formula used to determine the volume of a rectangular prism, where l stands for length, w for width, and h for height.
The supermarket receives $2.00 for each box of cereal purchased.
Find the first half of each box's price:
2.00 x 0.50 = 1.00
Next, increase the starting price by the additional sum:
2.00 + 1.00 = $3.00
The second box is a superior purchase because its cost per unit volume is less than that of the first box's. The second box of cereal is less expensive per unit volume and delivers more volume than the first box. Therefore, buying the second box of cereal will help a buyer receive the most cereal for their money.
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The complete question is,
a grocery store buys boxes of cereal for $ 2.00 each and sells them for 50% more. what does the grocery store charge its customers for each box of cereal?
Hunter took out a $3500 loan with interest to pay for some business supplies. He will repay The loan and three years with monthly payments of $109.68. What is the total amount of interest hundred will pay? ( there's no answer choices)
Answer: $448.48
Step-by-step explanation:
The amount Hunter will pay in total is;
= 109.68 * 12 months * 3 years
= $3,948.48
Interest he will pay = Amount paid - Loan amount
= 3,948.48 - 3,500
= $448.48
47 lbs of apples cost $188. How much would 28 lbs cost? *
Answer:
112
divide $188 by 47
it would equal 4
then multiple 4 and 28
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
If Y has a binomial distribution with parameters n and p, then p(hat)1 = Y/n is an unbiased estimator of p. Another estimator of p is p(hat)2 = (Y+1)/(n+2).
a. Derive the biase of p(hat)2.
b. Derive MSE(Pphat)1) and MSE(p(hat)2).
c. For what values of p is MSE(p(hat)1) < MSE(p(hat)2)?
a. To derive the bias of p(hat)2, we need to calculate the expected value (mean) of p(hat)2 and subtract the true value of p.
Bias(p(hat)2) = E(p(hat)2) - p
Now, p(hat)2 = (Y+1)/(n+2), and Y has a binomial distribution with parameters n and p. Therefore, the expected value of Y is E(Y) = np.
E(p(hat)2) = E((Y+1)/(n+2))
= (E(Y) + 1)/(n+2)
= (np + 1)/(n+2)
The bias of p(hat)2 is given by:
Bias(p(hat)2) = (np + 1)/(n+2) - p
b. To derive the mean squared error (MSE) for both p(hat)1 and p(hat)2, we need to calculate the variance and bias components.
For p(hat)1:
Bias(p(hat)1) = E(p(hat)1) - p = E(Y/n) - p = (1/n)E(Y) - p = (1/n)(np) - p = p - p = 0
Variance(p(hat)1) = Var(Y/n) = (1/n^2)Var(Y) = (1/n^2)(np(1-p))
MSE(p(hat)1) = Variance(p(hat)1) + [Bias(p(hat)1)]^2 = (1/n^2)(np(1-p))
For p(hat)2:
Bias(p(hat)2) = (np + 1)/(n+2) - p (as derived in part a)
Variance(p(hat)2) = Var((Y+1)/(n+2)) = Var(Y/(n+2)) = (1/(n+2)^2)Var(Y) = (1/(n+2)^2)(np(1-p))
MSE(p(hat)2) = Variance(p(hat)2) + [Bias(p(hat)2)]^2 = (1/(n+2)^2)(np(1-p)) + [(np + 1)/(n+2) - p]^2
c. To find the values of p where MSE(p(hat)1) < MSE(p(hat)2), we can compare the expressions for the mean squared errors derived in part b.
(1/n^2)(np(1-p)) < (1/(n+2)^2)(np(1-p)) + [(np + 1)/(n+2) - p]^2
Simplifying this inequality requires a specific value for n. Without the value of n, we cannot determine the exact values of p where MSE(p(hat)1) < MSE(p(hat)2). However, we can observe that the inequality will hold true for certain values of p, n, and the difference between n and n+2.
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In the given scenario, we have two estimators for the parameter p of a binomial distribution: p(hat)1 = Y/n and p(hat)2 = (Y+1)/(n+2). The objective is to analyze the bias and mean squared error (MSE) of these estimators.
The bias of p(hat)2 is derived as (n+1)/(n(n+2)), while the MSE of p(hat)1 is p(1-p)/n, and the MSE of p(hat)2 is (n+1)(n+3)p(1-p)/(n+2)^2. For values of p where MSE(p(hat)1) is less than MSE(p(hat)2), we need to compare the expressions of these MSEs.
(a) To derive the bias of p(hat)2, we compute the expected value of p(hat)2 and subtract the true value of p. Taking the expectation:
E(p(hat)2) = E[(Y+1)/(n+2)]
= (1/(n+2)) * E(Y+1)
= (1/(n+2)) * (E(Y) + 1)
= (1/(n+2)) * (np + 1)
= (np + 1)/(n+2)
Subtracting p, the true value of p, we find the bias:
Bias(p(hat)2) = E(p(hat)2) - p
= (np + 1)/(n+2) - p
= (np + 1 - p(n+2))/(n+2)
= (n+1)/(n(n+2))
(b) To derive the MSE of p(hat)1, we use the definition of MSE:
MSE(p(hat)1) = Var(p(hat)1) + [Bias(p(hat)1)]^2
Given that p(hat)1 = Y/n, its variance is:
Var(p(hat)1) = Var(Y/n)
= (1/n^2) * Var(Y)
= (1/n^2) * np(1-p)
= p(1-p)/n
Substituting the bias derived earlier:
MSE(p(hat)1) = p(1-p)/n + [0]^2
= p(1-p)/n
To derive the MSE of p(hat)2, we follow the same process. The variance of p(hat)2 is:
Var(p(hat)2) = Var((Y+1)/(n+2))
= (1/(n+2)^2) * Var(Y)
= (1/(n+2)^2) * np(1-p)
= (np(1-p))/(n+2)^2
Adding the squared bias:
MSE(p(hat)2) = (np(1-p))/(n+2)^2 + [(n+1)/(n(n+2))]^2
= (n+1)(n+3)p(1-p)/(n+2)^2
(c) To compare the MSEs, we need to determine when MSE(p(hat)1) < MSE(p(hat)2). Comparing the expressions:
p(1-p)/n < (n+1)(n+3)p(1-p)/(n+2)^2
Simplifying:
(n+2)^2 < n(n+1)(n+3)
Expanding:
n^2 + 4n + 4 < n^3 + 4n^2 + 3n^2
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in general, which point size would you use if you wanted each character to be approximately one inch in size? a.) 1 pt b.) 72 pts c.) 24 pts d.) 36 pts
If you want each character to be approximately one inch in size, you would use a point size of 72 pts.
Point size is a unit of measurement used to determine the size of typefaces. It represents the height of the characters in a font. One point is equal to 1/72 of an inch, which means there are 72 points in one inch.
Therefore, if you want each character to be approximately one inch in size, you would need to use a font size of 72 points. This would ensure that the characters are roughly one inch tall, assuming that the font is designed to be proportional and not condensed or expanded.
Choosing a smaller point size, such as 1 pt or 24 pts, would result in characters that are much smaller than one inch. Choosing a larger point size, such as 36 pts, would result in characters that are larger than one inch.
Therefore the correct answer is option b.) 72 pts.
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9-x^2 y = Given x = 4
Answer:
9-16y
Step-by-step explanation:
9-x^2y when x=4
plus in 4: 9- (4)^2y
=9-16y
yal is conducing a biology experiment.he uses the funtion f (t)=22 (1.5)t to represnt the total number of bacteria over time t in days , explain the meaning or 1.5 in yao's experiment
The value of 1.5 represents the growth factor or rate of increase in the bacteria population in Yal's experiment.
In Yal's biology experiment, the total number of bacteria over time is represented by the function \(f(t) = 22(1.5)^t\), where t is the number of days.
The growth factor or growth rate of the bacterial population in this case is 1.5.
It shows how quickly the number of germs is growing over time.
Since 1.5 in this instance is more than 1, it can be concluded that the population of bacteria is expanding exponentially.
The population is growing by a factor of 1.5 per day.
This suggests that the quantity of bacteria is growing more quickly over time and at an increasingly rapid rate.
The exponential growth gets more obvious as t rises, and the rate of bacterial population expansion rises as well.
Hence the value of 1.5 represents the growth factor or rate of increase in the bacteria population in Yal's experiment.
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There are four activities on the critical path, and they have standard deviations of 1, 2, 4, and 2 days. The standard deviation of the critical path is
Answer:
The standard deviation of the critical path = 5
Step-by-step explanation:
The formula for the standard deviation of a critical path is given as:
Standard deviation of a path
=√(sum of variances of activities on path)
Variance = (Standard deviation)²
In the above question, we are given:
Standard deviation of 1, 2, 4 and 2 days
Standard deviation of a critical path
=√(sum of variances of activities on path)
= √1² + 2² + 4² + 2²
= √1 + 4 + 16 + 4
= √25
= 5
22000 in standard form
Answer : \(22.000\) x \(10x^{3}\)
Step-by-step explanation:
Answer:22 x 10^3
Step-by-step explanation:
4. A die is rolled four times. Find the chance that- (a) an ace (one dot) never appears (b) an ace appears exactly once (c) an ace appears exactly twice
The given probabilities are: Probability of rolling one dot = (1/6), Probability of rolling not one dot = (5/6), Probability of an ace never appearing: When a die is rolled four times, there is no chance of getting a one dot on any of the four rolls. Therefore, the probability of an ace never appearing can be calculated as follows: P = (5/6) × (5/6) × (5/6) × (5/6)P = 0.4823 (approx) Therefore, the chance of an ace never appearing is 0.4823
Probability of an ace appearing exactly once: In four rolls, the chance of getting an ace exactly once can be calculated by the following formula: P = C(4,1) × (1/6) × (5/6)³, Where, C(4,1) is the combination of selecting 1 die from 4 dice, and is given by 4!/1!3! = 4. The calculation is: P = 4 × (1/6) × (5/6)³P = 0.3858 (approx). Therefore, the chance of an ace appearing exactly once is 0.3858.
Probability of an ace appearing exactly twice: In four rolls, the chance of getting an ace exactly twice can be calculated by the following formula: P = C(4,2) × (1/6)² × (5/6)², Where, C(4,2) is the combination of selecting 2 dice from 4 dice, and is given by 4!/2!2! = 6. The calculation is: P = 6 × (1/6)² × (5/6)²P = 0.1608 (approx). Therefore, the chance of an ace appearing exactly twice is 0.1608.
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I need help please. I’m really desperate……….
Answer:
X=8
Step-by-step explanation:
Given that the Area is 36ft^2, and the formula for calculating the area of a triange is:
\(a_{t} =h_{b}b/2\)
we have:
\(36 = \frac{(x+1)*x}{2}\)
we can start solving for x through the quadratic formula, but that will take long.
Instead, we can try replacing x by some numbers.
\(36*2=(x+1)*x\)
\(72=(x+1)*x\)
After a while,
\(72=(8+1)8\\\\72=9*8\\\\72=72.\)
We find that x=8.
IMPORTANT: X can also be -9 in this case. But a negative measurement doesn't make sense in this context, I would say that x=8 in this problem.