Answers
The equations of nonlinear functions from the options are y = 3x^2 + 9x = 6 and y = x(3x + 10)
Selecting the equations of nonlinear function.From the question, we have the following parameters that can be used in our computation:
The list of options
As a general rule:
Nonlinear function are functions that have a degree not equal to 1
using the above as a guide, we have the following as nonlinear functions
y = 3x^2 + 9x = 6
y = x(3x + 10)
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Related Questions
i need help with #12 please help me
Answers
A is an isosceles triangle, with 3 acute angles and 2 equal sides. The only line of symmetry is down the middle.
B is an equilateral triangle, with 3 acute angles and 3 equal sides. There are also 3 line of symmetry: down the middle, and two lines forming a cross from the bottom two angles, so therefore, the other answer is incorrect.
Write the equation of the line which has slope 10 and y-intercept 8.
Answers
In this case, the slope is 10 and the y-intercept is 8, so we can substitute these values into the equation to get:
y = 10x + 8
Therefore, the equation of the line with slope 10 and y-intercept 8 is y = 10x + 8.
shawn deposits $100 every year into a savings account that pays interest at a rate of 3.5% per year, compounded annually. How much money will there be in his account at the end of 2 years
A-214.25
B-210.62
C-207
D-270
Answers
There will be $210.62 in Shawn's savings account at the end of 2 years, hence, option B is correct.
Using the compound interest formula,
A = P(1 + r)ⁿ where amount of money is A in the account after n years, principal (initial deposit) is P, interest rate per year (as a decimal) is r, and number of years is n. In this case, P = $100, r = 0.035, and n = 2. Plugging these values into the formula, we get,
A = $100(1 + 0.035)²
A = $100(1.072225)
A = $107.22
Therefore, Shawn will have $107.22 in his account at the end of 2 years, which is closest to option B-210.62 (if we assume the deposit is made at the end of each year).
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A cleaning solution is made using 3/8 of a pint of baking soda mixed with 3/4 gallon of water. Emilia fills a bucket with 5 gallons of water how much baking soda does she need?
Answers
Emilia needs 5/2 pints or 2 1/2 pints of baking soda to mix with 5 gallons of water. We used proportionality to solve answer.
What is proportionality ?
Proportionality refers to the relationship between two variables or quantities where they maintain a constant ratio or relative size to each other, even as one of the variables changes.
The cleaning solution requires 3/8 pint of baking soda mixed with 3/4 gallon of water. To find out how much baking soda Emilia needs to mix with 5 gallons of water, we need to use proportionality.
We can set up the following proportion to find the amount of baking soda needed:
(3/4 gallon) / (3/8 pint) = (5 gallons) / x
where x is the amount of baking soda needed in pints.
To solve for x, we can cross-multiply and simplify:
3/4 * x = 3/8 * 5
3x/4 = 15/8
Multiplying both sides by 4/3, we get:
x = (15/8) * (4/3) = 5/2
Therefore, Emilia needs 5/2 pints or 2 1/2 pints of baking soda to mix with 5 gallons of water.
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Maurice is traveling to Mexico and needs to exchange $370 into Mexico pesos. If each dollar is worth 12.29 pesos. How many peso will he get for his trip ?
Answers
Maurice will get 4,547.3 pesos for his trip to Mexico.
To determine how many pesos Maurice will get for his trip when exchanging $370 at a rate of 12.29 pesos per dollar, follow these steps:
1. Identify the amount of dollars Maurice wants to exchange: $370
2. Identify the exchange rate: 1 dollar = 12.29 pesos
3. Multiply the amount of dollars by the exchange rate to find the total amount of pesos: $370 x 12.29 pesos/dollar
By following these steps, Maurice will get $370 x 12.29 = 4,547.3 pesos for his trip to Mexico.
Therefore, 4,547.3 pesos will he get for his trip
This is a problem of multiplication.
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A random sample of 5000 adults in a country includes 752 who do not use the Internet. Construct a 95% confidence interval estimate of the percentage of adults in the country who do not use the Internet. Based on the result, does it appear that the percentage of adults in the country who do not use the Internet is different from 49%, which was the percentage in the year 2000? 4 S Construct a 95% confidence interval estimate of the percentage of adults in the country who do not use the Internet.
Answers
95 percent certainty that the actual percentage of adults who do not use the Internet in the country is between 12.99 and 17.09 percent.
What is a probability distribution used for?Probability distributions are widely used to define confidence intervals and to calculate critical regions (eg p-value) for hypothesis testing. It is used in many fields aspiring to informatics.
We can use the following formula to construct a 95% confidence interval estimate for the percentage of adults in countries who do not use the Internet:
CI = p ± z*(√.(p×(1-p)/n))
where:
p = Proportion of non-Internet adults in the sample
n = sample size
z = z-scores corresponding to the confidence level (95% in this case)
Combining the values, we get:
p = 752/5000 = 0.1504
n = 5000
z = 1.96 (95% confidence level)
CI = 0.1504 ± 1.96* (√(0.1504*(1-0.1504)/5000))
CI = 0.1299 - 0.1709
Thus, we can say with 95 percent certainty that the actual percentage of adults who do not use the Internet in the country is between 12.99 and 17.09 percent.
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Find the balance of an account with the principle of $6500 a rate of 5% invested for 12 years
Answers
The balance of an account with the principal of $6500 at a rate of 5% invested for 12 years is; $11673.07.
What is the balance in the account after 12 years?It follows from the task content that the balance in an account with the principal of $6500 at a rate of 5% invested for 12 years is to be determined.
By the compound interest formula; the amount in the account, A is;
A = P (1 + r/n)^nt.
where P = 6500, r = 5% = 0.05 and t = 12, n = 1.
Therefore;
A = 6500 (1 + 0.05)^(12)
A = 6500 (1.05)^12
A = $11673.07.
Ultimately, the amount in the account after 12 years is; $11673.07.
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Assume that adults have IQ scores that are normally distributed with a mean of
μ=105 and a standard deviation of σ=15. Find the probability that a randomly selected adult has an IQ between 95 and 115.
Answers
To solve this problem, we need to standardize the IQ scores using the z-score formula:
z = (x - μ) / σ
where x is the IQ score, μ is the mean IQ, and σ is the standard deviation.
For x = 95, we have:
z = (95 - 105) / 15 = -0.67
For x = 115, we have:
z = (115 - 105) / 15 = 0.67
Now, we can use a standard normal table or a calculator to find the probability that a z-score is between -0.67 and 0.67. Using a standard normal table, we find:
P(-0.67 < z < 0.67) = 0.4978
Therefore, the probability that a randomly selected adult has an IQ between 95 and 115 is 0.4978 or about 49.78%.
MAGIC PENNY LAB
Wandering on the street one day, you notice a shiny penny on the
sidewalk. When you pick it up you learn that this isn't an ordinary penny, but
a magical one. The power of this penny is that it doubles in value each day for
a month. In other words, when you wake up the next day, you miraculously
have two pennies; on day three, four pennies; on day four eight pennies, and
so forth.
Based on this information, would you prefer to receive $1,000,000 or a
magical penny that doubles in value for 31 days? Justify your answer using
mathematics reasoning.
Answers
If we start with one penny and double the amount each day for 30 days, we will have a total of $10,737,418.23 at the end of the month.
To find the total amount of money after 30 days using a geometric series, we can start by noting that the amount of money earned each day is double the amount earned the previous day. If we let P be the initial penny on the first day, then the amount earned on the second day is 2P, the amount earned on the third day is 2(2P) = 2²P, the amount earned on the fourth day is 2(2²P) = 2³P, and so on. We can write the total amount of money earned over 30 days as:
P + 2P + 2²P + 2³P + ... + 2²⁹P
This is a geometric series with first term P and common ratio 2. We can use the formula for the sum of a geometric series to find the total amount of money earned:
total = P(1 - 2³⁰)/(1 - 2) = P(1 - 2³⁰)/(-1)
Simplifying this expression, we get:
total = P(2³⁰ - 1)
Substituting P = $0.01 (one penny), we get:
total = $0.01(2³⁰ - 1) = $10,737,418.23
Therefore, if we start with one penny and double the amount each day for 30 days, we will have a total of $10,737,418.23 at the end of the month.
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complete question;
If we have one penny the first day, we double that penny the next day, we then double the previous day's pennies, and so on for a 30-day month what geometric series should you use to find the total amount of money after 30 days, and what is that total?
6. There are some small counters and large counters in a bag. Some of the counters are
red and the rest are blue.
The ratio of blue counters to red counters is 2:1.
The ratio of small counters to large counters is 1:2.
The ratio of large blue counters to small blue counters is 3:1.
What fraction of the counters are red and small?
Answers
Answer: Let's say that there are a total of x counters in the bag. Then, the ratio of blue counters to red counters is 2:1, so there are 2y blue counters and y red counters for some value of y.
The ratio of small counters to large counters is 1:2, so let's say there are z small counters and 2z large counters.
We know that the rest of the blue counters that are not large are small, and that the ratio of large blue counters to small blue counters is 3:1. So, we can set up the equation:
2z - k = 3k
where k is the number of small blue counters. Solving for k, we get:
k = z/5
So, the number of large blue counters is:
2z - k = 9z/5
The fraction of counters that are red and small is given by:
y/z
Substituting the values we have found, we get:
y/z = (1/3)(2y/x)/(1/5)((2/5)x/(2/3)) = 10/27
Therefore, the fraction of counters that are red and small is 10/27.
Step-by-step explanation:
I will give you 20 points of you answer this
Answers
Answer:
Median: 1, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 6 : 4
Mean: 3.42 (3.42857142857)
Mean would change
FIRST OPTION
Select the correct statement in the table.
Alora is preparing costumes for performers in the school musical. If C(f) is the number of costumes Alora has remaining to prepare after
working for thours, which interpretation is accurate?
If C(7) = 28, then after 28 days,
she will have 7 remaining costumes to prepare.
If C(7) = 28, then after 7 days,
she will have 28 remaining costumes to prepare.
If C(8) = 25, then after 8 hours,
she will have prepared 25 costumes.
If C(8) = 25, then after 25 hours,
she will have prepared 8 costumes.
If C(9) = 20, then after 9 hours,
she will have 20 remaining costumes to prepare.
If C(9) = 20, then after 20 hours,
she will have 9 remaining costumes to prepare.
Answers
A 3-cup bottle of shampoo costs $18.96. What is the price per fluid ounce?
Answers
The price per fluid ounce of tthe shampoo is $0.79 per fluid ounce
What is the price per fluid ounce?From the question, we have the following parameters that can be used in our computation:
A 3-cup bottle of shampoo costs $18.96.
This means that
Cost = $18.96.
Size = 3-cup
So, we have
Unit rate = $18.96/3
Convert to fluid ounce
Unit rate = $18.96/24
Evaluate
Unit rate = $0.79
Hence the unit rate is $0.79 per fluid ounce
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tom buys a condominium for $42,600. he makes a down payment of 15%. what is the amount of the down payment?
Answers
Answer:
The down payment of $42,600 at 15% would be $6,390.
De la Cruz Automotive has net working capital of $22,600, current assets of $56,500, equity of $62,700, and long-term debt of $31,900. What is the amount of the net fixed assets?
Answers
Explanation:
net fixed assets= $31,900+62,700-22,600= $72,000
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 115, and the sample
standard deviation, s, is found to be 10.
(a) Construct a 96% confidence interval about μ if the sample size, n, is 26.
(b) Construct a 96% confidence interval about μ if the sample size, n, is 15.
(c) Construct a 90% confidence interval about μ if the sample size, n, is 26.
μ
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
Click the icon to view the table of areas under the t-distribution.
(a) Construct a 96% confidence interval about μ if the sample size, n, is 26.
Lower bound:; Upper bound:
(Use ascending order. Round to one decimal place as needed.)
Answers
(d) If the population was not normally distributed, we couldn't compute these CIs without additional assumptions or using non-parametric methods.
How to solve(a) For n=26, the degrees of freedom (df) = 25.
From the t-table, t-value for 96% CI is approximately 2.060.
CI = x ± t*(s/√n) = 115 ± 2.060*(10/√26) = (110.3, 119.7).
(b) For n=15, df=14, t-value ≈ 2.145. CI = 115 ± 2.145*(10/√15) = (108.9, 121.1).
(c) For n=26, the t-value for 90% CI ≈ 1.706. CI = 115 ± 1.706*(10/√26) = (111.4, 118.6).
(d) If the population was not normally distributed, we couldn't compute these CIs without additional assumptions or using non-parametric methods.
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The organizers of African Maths rewarded three of her most outstanding students 40% of the revenue generated from sponsors. If the first and second runners up got 35% and 25% respectively, how much was generated from sponsors if the best student got N400,000? 2 points
Answers
The total revenue generated from sponsors that was rewarded by the organizers of African Mathematics to three of her most outstanding students is 2500000 (in monetary units) by formulating linear equation.
The organizers of African Mathematics rewarded three of her most outstanding students 40% of the revenue generated from sponsors.
Let us say the total revenue generated from sponsors be x (monetary units).
Thus, total of (2/5)x (in monetary units) was rewarded by forming equation.
It is given that the first and second runners up got 35% and 25% of the revenue generated respectively and also the best student got 400,000 (monetary units).
Formulating a linear equation for the given problem we get,
40 % of x = 400000 + (35 % of (2/5)x) + ( 25% of (2/5)x) (in monetary units)
⇒(40/100) x = 400000 + (35/100)(2/5)x + (25/100)(2/5)x (in monetary units)
⇒ (40/100)x - [ (14/100)x + (10/100)x] = 400000 (in monetary units)
⇒ [tex]\frac{40x - 14x - 10x}{100} = 400000[/tex] (in monetary units)
⇒ (16/100)x = 400000 (in monetary units)
⇒ x = 2500000 (in monetary units)
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5. Find the degree of each vertex in the graph below.
Answers
The degree of each vertex in the graph below is 2
Degree of a vertice:To find the degree of each vertex in a graph, you need to count the number of edges that are incident on that vertex. The degree of a vertex is the number of edges connected to it.
Observe the given graph and count the number of edges to find the degree of the vertices
Here we have a graph
The number of vertices in the graph is 5
As we can see that each vertex is connected by 2 edges
As we know the degree of a vertice is equal to the number of edges associated with vertices
Hence, the degree of each vertex is 2
Therefore,
The degree of each vertex in the graph below is 2
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You need to cordon off a rectangular crime scene with tape around
the edge to allow investigators to work. The rectangle measures 34
feet by 20 feet.
b. You also need to have the canine unit sniff the scene for drugs. The drug-sniffing dog needs about 6 seconds for each square foot of area. The Canine Unit that was sent to the scene needs to leave in an hour. Will the canine unit be able to complete the task in time?
Answers
We know the square feet can be found by multiplying length x width.
34 x 20 = 680 square ft.
We know the dog needs 6 seconds per square foot and needs to be done in 1 hour.
1 hour = 3600 seconds.
3600 seconds / 6 seconds per square ft.
= 600 square ft the dog can cover in 1 hour.
The area is 680 square ft so NO, the dog cannot complete this task in 1 hour.
Sandy works to deliver rock and gravel to various construction sites around the state
of Ohio.
W
Which of the following statements are true?
Delivering the rock and gravel is a service.
Delivering the rock and gravel is a good.
Rock and gravel is a service.
Rock and gravel is a good.
Answers
Answer:
1 and 4
Step-by-step explanation:
Delivery is a service, most services are not tangible and are from one person to another (person transporting from a to b) and a 'good' is a product/item where most of them are tangible (phone, CD's, etc).
Find the surface area of the rectangular prism.
Answers
The surface area of the rectangular prism is 100 square miles.
We have,
To find the surface area of a rectangular prism, we need to add the areas of all its faces.
A rectangular prism has six faces, each of which is a rectangle.
The formula for the surface area of a rectangular prism is:
Surface area = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the rectangular prism, respectively.
Given the values of length, breadth, and height, we can substitute them into the formula:
Surface area = 2(2 mi × 4 mi) + 2(2 mi × 7 mi) + 2(4 mi × 7 mi)
Surface area = 16 mi² + 28 mi² + 56 mi²
Surface area = 100 mi²
Therefore,
The surface area of the rectangular prism is 100 square miles.
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Four students designed and built air propelled rockets that were launched in the air. Their data are recorded in the table
Answers
Note that the rocket with the greatest acceleration is Rocket 3.
What is the justification of the above response?To find the rocket with the greatest acceleration, the formula to be used is;
Acceleration = net force/mass
Calculating the acceleration of each rocket sing the given data, we get:
Accel eration of rocket 1 = 12.0N/ 0.528 kg = 22.7m/s²
Acceleration of rocket 2 = 8.0N/ 0.426 kg = 18.8m/s²
Acceler ation of rocket 3 = 12.0N/ 0.515 kg = 23.3m/s²
Acceleration of rocket 4 = 8.0N/ 0.477 kg = 16.8m/s²
Given the above, we can confidently state that Rocket 3 is the rocket with the highest acceleration.
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A scientist studies a population of squirrels in a certain region for several years. There are initially 24 squirrels and the squirrel population doubles every year.
Which function best represents the number of squirrels in the region at the end of x years? Justify your answer.
Answers
f(x) = 24 x 2^x
where f(x) is the number of squirrels at the end of x years.
To see why this is the correct function, we can examine what happens to the squirrel population each year.
After one year, the squirrel population doubles to 24 x 2 = 48 squirrels.
After two years, the squirrel population doubles again to 24 x 2^2 = 96 squirrels.
After three years, the squirrel population doubles again to 24 x 2^3 = 192 squirrels.
We can see that the number of squirrels at the end of each year is double the number from the previous year. This exponential growth can be represented by the function f(x) = 24 x 2^x.
Therefore, the function that best represents the number of squirrels in the region at the end of x years is f(x) = 24 x 2^x.
There are 12 inches in 1 foot. Whics proportion can you use to find the number of inches in 8 feet
Answers
Answer:
D
Step-by-step explanation:
Hope this helps
The number of vinyl album sales (in millions) in a country x years after 2010 is given by the polynomial 0.2xexponent2+0.3x+3.3 for 2010 through 2016. Use this model to predict the number of vinyl album sales in the country in the year 2030 (x=20)
Answers
The model predicts that there will be 89.3 million vinyl album sales in the country in the year 2030 by using quadratic equation.
Define quadratic equation?
A quadratic equation is a polynomial equation of the second degree, meaning it contains at least one squared term (x²). The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and x is the variable. The values of a, b, and c determine the shape of the parabola, which is the graph of a quadratic equation.
To predict the number of vinyl album sales in the year 2030, we need to substitute x = 20 into the polynomial:
[tex]0.2x^2 + 0.3x + 3.3[/tex]
[tex]= 0.2(20)^2 + 0.3(20) + 3.3[/tex]
[tex]= 80 + 6 + 3.3[/tex]
[tex]= 89.3[/tex]
Therefore, the model predicts that there will be 89.3 million vinyl album sales in the country in the year 2030.
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In our example 2 by 2 contingency table of Survival at 5 years (yes or no) by Age at Diagnosis ( =age 50), the data cell counts are presented as follows: under survival “yes” and age <50 cell count= 37, under survival “yes” and age >=50 cell count= 55, under survival “no” age <50 cell count=14, under survival “no” age >=50 cell count=75. What is the overall calculated Chi-sq value?
Answers
In our example 2 by 2 contingency table of Survival at 5 years (yes or no) by Age at Diagnosis the overall calculated Chi-sq value is 6.10 as per the given frequencies.
We can use the formula for Chi-sq:
Chi-sq = Σ [tex](O - E)^2 / E[/tex]
Where O = observed frequency and E = expected frequency.
Row totals: 92, 89, 181
Column totals: 51, 130, 181
Grand total: 181
Expected frequency for cell (1,1) = (9251) / 181 = 25.91
Expected frequency for cell (1,2) = (92130) / 181 = 66.09
Expected frequency for cell (2,1) = (8951) / 181 = 25.09
Expected frequency for cell (2,2) = (89130) / 181 = 63.91
Using the formula and plugging in the observed and expected frequencies, we get:
Chi-sq = [tex][(37-25.91)^2 / 25.91] + [(55-66.09)^2 / 66.09] + [(14-25.09)^2 / 25.09] + [(75-63.91)^2 / 63.91][/tex]
Chi-sq = 6.10
Therefore, the overall calculated Chi-sq value is 6.10.
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A cylinder has the net shown.
net of a cylinder with diameter of each circle labeled 2.8 inches and a rectangle with a height labeled 3 inches
What is the surface area of the cylinder in terms of π?
32.48π in2
23.52π in2
12.32π in2
5.88π in2
Answers
The surface area of the cylinder in terms of π is 32.48π in2.
What is surface area?Surface area is a measurement of the total area of a given surface of a three-dimensional object. It is a two-dimensional measurement and is expressed in units such as square feet or square meters. Surface area is an important concept in mathematics, physics, engineering, and other sciences. It is used to measure the size of objects, calculate the volume of a space, and to calculate the area of an object’s surface. Surface area can also be used to calculate pressure, force, and energy, as well as other properties of an object.
This is calculated by using the formula for the surface area of a cylinder, which is 2πr2 + 2πrh. In this case, the radius of the cylinder (r) is equal to the diameter (2.8 inches) divided by two; therefore, the radius is 1.4 inches. The height (h) of the cylinder is 3 inches. Substituting these values into the formula, the surface area of the cylinder is 2π (1.4)2 + 2π (1.4) (3) = 32.48π in2.
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The following results are provided from a test for marijuana use. A positive test is considered as Event A, where a negative test is Event A complement. But either result of the test (positive or negative) could be in error. So actual marijuana use is Event B and not actually using is Event B complement.
144 subjects tested positive and 154 tested negative. Of those who tested negative, 4 were false negatives, meaning they actually had used marijuana. And of those who tested positive, 25 were false positives, meaning they had actually not used marijuana.
a) How many subjects were included in the study?
b) Create a contingency table. How many subjects did not use marijuana?
c) What is the probability that a randomly selected subject did not use marijuana? Round to 3 decimals as needed.
d) What is the probability that a randomly selected subject tested negative AND did not use marijuana. Round to 3 decimals as needed.
Answers
Probability that a randomly selected subject tested negative AND did not use marijuana is 0.052 (or 5.2%).
What is Probability?Probability is the likelihood that an event will occur. It is a measure of the chance that something will happen, expressed as a number between 0 and 1, where 0 means that the event is impossible, and 1 means that the event is certain. Probability can be used to predict the outcomes of certain events, to determine the likelihood of certain outcomes, or to make decisions about risk. Probability can also be used in statistics to make predictions about a population or a sample.
The total number of subjects included in the study was 298.
Contingency Table
Used Marijuana Did Not Use Marijuana
Positive Test 144 25
Negative Test 4 154
The probability that a randomly selected subject did not use marijuana is 0.517 (or 51.7%).
The probability that a randomly selected subject tested negative AND did not use marijuana is 0.052 (or 5.2%).
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Given a segment, construct another segment with a length equal to the given segment.
Given: AB
B
To Construct: segment RS with length equal to AB
Lteps: Draw a work line t. Pick a point on t; call it R. Put point of compass on A
and pencil on B. This dis tance will be the radus of an ar. Place point of compass
at R and, using radius from previous step, make an art that intersects t at S. RS is the
required segment.
Answers
This prompt has to do with the construction of lines and geometrical shapes. See the steps to constructing another line equal to AB below.
How can another line equal to line segment AB be constructed?To Construct: segment RS with length equal to AB
Step 1: Draw a work line t. Pick a point on t; call it R. Put point of compass on A and pencil on B. This distance will be the radius of an arc.
Place point of compass at R and, using radius from previous step, make an art that intersects t at S. RS is the required line segment.
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using the rule of 78 find the amount of unearned interest with finance charge 747 total payments 24 with remaining number of payments, when paid in full 8
Answers
If the loan is paid off in full after 8 remaining payments, the borrower is entitled to a refund of $218.87 of the finance charge.
The rule of 78:The Rule of 78 is a method used by lenders to calculate how much of the finance charge on a loan should be refunded to the borrower if the loan is paid off early.
Formula to calculate the portion of the finance charge that has been earned by the lender so far. The formula is:
[ n / (n(n+1)/2) ] × I
Where n is the total number of payments in the loan and I is the finance charge.
Here we have
The finance charge = 747
Total payments = 24
First, Add up the number of payments made so far and the remaining number of payments to get the total number of payments in the loan:
=> 24 + 8 = 32.
Using the formula (n / (n(n+1)/2)) x I
[ 32 / (32(32+1)/2) ] x 747 = 0.707 x 747 = 528.13
This implies the lender has earned $528.13 of the finance charge so far.
Subtract the amount earned by the lender so far from the total finance charge to find the amount of unearned interest:
=> 747 - 528.13 = 218.87
Therefore,
If the loan is paid off in full after 8 remaining payments, the borrower is entitled to a refund of $218.87 of the finance charge.
Learn more about The rule of 78
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