The number of periods over which interest is calculated on the loan.
We have to determine
The following formula is used to calculate the monthly payment on a personal loan.
What is the formula used to calculate monthly payments?The formula used to calculate monthly payments are as follows;
\(\rm P = PV \times \dfrac{i}{1-(i+1)^{-n}}\)
Where,
1. PV is the present value or the amount of the loan.
2. i is the interest rate per period and is calculated by dividing the yearly percent rate by 100 and by the number of periods in a year.
3. n is the total number of periods and is calculated as the product of the number of periods in a year times the number of years.
Hence, the number of periods over which interest is calculated on the loan.
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Answer: B.
Step-by-step explanation:
edge 2023
4.364923697 in radical form
Answer:
i hope u can round other wise its this 4 3649237 / 10000000
Step-by-step explanation:
the dash is the fraction symbol
show that a function from a finite set s to itself is one-to-one if and only if it is onto
A function from a finite set s to itself is one-to-one if and only if it is onto. This result holds because of the finite nature of the set s and the uniqueness of the mapping between elements in the domain and the range of the function.
To show that a function from a finite set s to itself is one-to-one if and only if it is onto, we need to consider two cases.
let's assume that the function is one-to-one. This means that for every pair of distinct elements x and y in the set s, the function maps them to distinct elements in the set s. In other words, if f(x) = f(y), then x = y. Since the set s is finite, and the function maps each element to a distinct element, there must be an equal number of elements in the domain and the range of the function. Therefore, the function must be onto as well.
Now let's assume that the function is onto. This means that for every element y in the set s, there exists an element x in the set s such that f(x) = y. In other words, every element in the range of the function is mapped to by some element in the domain of the function. Since the set s is finite, and the function maps each element to a unique element, there cannot be any elements in the range of the function that are not mapped to by some element in the domain of the function. Therefore, the function must be one-to-one as well.
In summary, a function from a finite set s to itself is one-to-one if and only if it is onto. This result holds because of the finite nature of the set s and the uniqueness of the mapping between elements in the domain and the range of the function.
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-1/2x-3=4
Solve for x
Alan finished his homework in 1 1/2 hours. It took Jimmy 3/4 of an hour longer than Alan to finish his homework. How long did it take Jimmy to finish his homework?
Answer:
jimmy took 2 1/4 hours
Step-by-step explanation:
just add both fractions
(3/2) + (3/4) = 9/4 = 2 1/4 hours
Step-by-step explanation:
We need to add 3/4 of an hour to Alan's time.
Let's put Alan's time into a pure fraction.
\(1\frac{1}{2} = \frac{2}{2}\frac{1}{2} = \frac{3}{2}\)
Now we can add 3/4 to 3/2.
First, we need to find a common denominator (the bottom number).
4 and 2 is easy. The common denominator is 4. So let's solve it.
\(\frac{3}{2} * \frac{2}{2} = \frac{6}{4}\)
\(\frac{6}{4} + \frac{3}{4} = \frac{6+3}{4}\)
a mersenne prime is a prime n of the form 2k − 1 for some integer k. prove that all mersenne primes greater than 3 have the following
Our assumption that there exists a Mersenne prime greater than 3 with a composite k value must be false. All Mersenne primes greater than 3 must have a corresponding prime integer k.
All Mersenne primes greater than 3 have the following property: their corresponding integer k must also be prime. This can be proven using a proof by contradiction.
Assume there exists a Mersenne prime greater than 3 with a composite k value. This means that k can be expressed as the product of two integers, p and q, both greater than 1.
We can then substitute 2pq − 1 for n in the equation for a Mersenne prime (n = 2k − 1), giving us:
n = 2k − 1
n = 2pq − 1
We can then factor this expression as:
n = (2p + 1)(2q − 1)
Since p and q are both greater than 1, we know that (2p + 1) and (2q − 1) are both greater than 2. This means that n has factors other than 1 and itself, which contradicts the definition of a prime number.
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a mersenne prime is a prime n of the form 2k − 1 for some integer k. prove that all mersenne primes greater than 3 have the following____________
Kevin earned $80. Out of his earnings, he spent $68/5 on shopping, $51/2 on food, and $22/5 for taxi. Find the remaining amount.
The amount remaining out the money earned is $37.5
Sum of values and proportionGiven the following parameters
Amount earned by kevin = $80
If he spent $68/5 on shopping, $51/2 on food, and $22/5 for taxi, the total money spent is given as;
Total money spent = 51/2 + 68/5 + 22/5
Total money spent = 51/2 + 90/5
Total money spent = 25.5 + 18
Total money spent = 43.5
Amount remaining = 80. - 43.5
Amount remaining = 37.5
Hence the amount remaining out the money earned is $37.5
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a certain country's factory sales of electronic goods to dealers from 1990 through 2001 can be modeled as
The factory sales of electronic goods from a certain country to dealers from 1990 to 2001 can be modeled using a mathematical equation .
Modeling factory sales of electronic goods from a certain country to dealers from 1990 to 2001 involves creating a mathematical equation to represent the data . To begin, one must collect the data from the sales of electronic goods from the given country to dealers from 1990 to 2001. This data should include the total amount sold for each year. Once the data is collected it must be organized into a visual representation, such as a line graph or a scatter plot. The visual representation should then be examined for patterns in the data which can be used to create a mathematical equation. This equation should be able to accurately describe the data and be able to predict future data points. The equation should then be tested to ensure accuracy before it is used to model the factory sales data.
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What is the perimeter of a pentagon if all the sides are 9 inches?
45 would be the perimeter:))
Student's t test for correlated groups really reduces to _________.
a.
the sign test
b.
Student's t test for single samples using difference scores
c.
Students t test for independent groups
d.
none of the above
Answer:
Step-by-step explanation:
Student's t test for correlated groups reduces to Student's t test for single samples using difference scores. Therefore, the correct answer is (b).
In a t test for correlated groups (also known as paired-samples or dependent-samples t test), the same group of participants is measured twice, under two different conditions or at two different times. The difference between the two measurements for each participant is calculated and used as the sample data. The t test for correlated groups compares the mean difference score to zero to determine if there is a significant difference between the two conditions or times.
This can be seen as equivalent to a t test for single samples using difference scores, where the mean difference score is compared to a known or hypothesized value of the population mean difference. In fact, the formula for calculating the t statistic is the same in both cases.
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Can someone help me find the value of y and how to my got it
Explanation:
The tickmarks tell us that sides HG and FG are the same length. The triangle is isosceles. Directly from this, we know that the opposite angles F and H are congruent. Both are 4y-7 degrees.
Angle G is 90 degrees because of Thales' Theorem. This is because HF is the diameter of the circle. It's also the hypotenuse of the right triangle.
For any triangle, the three interior angles always add to 180 degrees.
F+G+H = 180
(4y-7) + (90) + (4y-7) = 180
8y + 76 = 180
8y = 180-76
8y = 104
y = 104/8
y = 13
What is the sum of 1-2 and V-18?
†
O42
O 421
O 52
05/21
Answer:
B) 421
Step-by-step explanation:
√2 + √-18
√2 + √9·-2
√2 + 3√-2
(3 +1 )(√2 ·√-2) = 2i
4 · 2i
ILL MARK BAINLIEST HELP TTTTTTTTTREEEEEEEEEEEEEEEEEEEE
Answer:
Yes
Step-by-step explanation:
help me please last question!!!
A. What is the sum of all the interior angles in the kite?
B. Copy the kite and draw the diagonals. What is the measure of the angle at which the diagonals intersect?
Answer:
A. 360 degrees
B. 360 degrees all the way around but each individual one is 90 degress
Step-by-step explanation:
Answer:
Step-by-step explanation:
B: the kite's diagonals intersect each other at a 90o degree angle.
A: It should come to 360. Let's if that happens.
Take the top angle (88) first. Notice that if you draw in both diagonals, the will form Isosceles triangles. Let's deal with the shorter diagonal first.
The two angles at the base of the shorter diagonal are equal. That's because the sides opposite them are equal.
2x +88 = 180 Subtract 88 from both sides.
2x = 92 Divide by 2
x = 46
Now lets look at the long narrow legs of the bottom isosceles triangle.
2x + 50 = 180 Subtract 50 from both sides
2x = 130 divide by 2
x = 130 /2
x = 65
Now add up all the angles that make up the interior of the kite.
Total = 46 + 46 + 65 + 65 + 50 + 88
Total = 360 just as it should.
The speed limit in front of the school is 25 miles per hour. This is half the speed of a major street one mile away. What is the speed limit of the major street?
Answer:
50 miles per hour
Step-by-step explanation:
this is because 25 is half of 50.
Answer:
50 mph
Step-by-step explanation: the speed limit in front of the school is 25 mph, and the speed limit on a major street one mile away is double that. 25x2=50.
The lengths of three sides of a triangle are given. Classify each triangle as acute, right, or obtuse. 16, 12, 6
Answer:
right triangle
Step-by-step explanation:
hope that helps!
In 1912, the U.S. government began issuing licenses to radio stations. Each station was given a unique three-letter call sign. Radio stations in the western United States were given call signs starting with K. Stations in the east were given call signs starting with W. For example, the radio station with the call sign ABC is KABC in California, and WABC in Georgia.
a. How many different three-letter call signs are there?
Hint: don’t worry about the K or W – just find the number of ways to arrange any 3 letters
b. How many different three-letter call signs are there where the first letter is a D?
Hint: again, the K and W don’t matter
c. In a random selection of radio station call signs, what is the probability of selecting a radio station with a call sign that starts with the letter D?
Answer:
A would make sense
Step-by-step explanation:
15p+16 = – 13p–12
I need an answer
Answer:
P=-1
Step-by-step explanation:
A survey conducted in 2005 found that the State of Louisiana was the happiest State in the United States. The survey was completed before Hurricane Katrina destroyed most of New Orleans and the surrounding area. The information quality for this survey is probably not:
The information quality of the survey is not reliable for understanding the current happiness level in the state.
The information quality for this survey is likely outdated and not
representative of the current state of Louisiana, particularly after the
devastating impact of Hurricane Katrina in 2005.
The survey was conducted before the hurricane, which significantly
affected the region, including the mental health and well-being of its
residents.
Thus, the survey's results may not accurately reflect the current level of
happiness or satisfaction among Louisiana residents.
Therefore, the information quality of the survey is not reliable for
understanding the current happiness level in the state.
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How many ways are there to choose 5 actars fram a troupe of nine to act out a scene?
The number of ways to choose 5 actors from a troupe of 9 to act out a scene can be calculated using combinations. The answer is 126 ways.
To determine the number of ways to choose 5 actors from a troupe of 9, we can use the concept of combinations. In a combination, the order of selection does not matter. We can use the formula for combinations, which is given by:
C(n, r) = n! / (r!(n-r)!)
Where n is the total number of items to choose from (in this case, 9 actors), and r is the number of items to be selected (in this case, 5 actors).
Plugging in the values, we get:
C(9, 5) = 9! / (5!(9-5)!)
= 9! / (5!4!)
= (9 * 8 * 7 * 6 * 5!) / (5! * 4 * 3 * 2 * 1)
= (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)
= 126
Therefore, there are 126 ways to choose 5 actors from a troupe of 9 to act out a scene.
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Factor the expressions below using the greatest
common factor:
a. 4m³ - 32m
b. 63x¹2 - 35x6
C. -28v² - 8v - 36
Answer:
a=4m
b=63x¹2 - 35x6 maybe you formatted/typed this wrong, but this is impossible..?
c=4
Solve the following system of equations graphically. Select the graph that shows the correct solution of the system.
x + y = 2
x = 1
Answer:
First one
Step-by-step explanation:
rearrange x + y = 2 in the form y = mx + c
y = -1x + 2
means gradient is -1 and y-intercept is 2. such line is shown in the first graph
see where x = 1 and draw a straight line. Such line is also only shown in the first graph.
it should be the first graph
wilfredo, que actualmente tiene 42 años, tiene 8 años mas que el doble de la edad de alejandro. que edad tiene alejandro
We are given the following statement:Wilfredo, who is currently 42 years old, is 8 years older than twice Alejandro's age. We have to determine Alejandro's age.Let's suppose the age of Alejandro to be A.So, according to the given statement, the age of Wilfredo can be calculated by the following equation:Wilfredo's age = 8 + 2ANow, we have been given that Wilfredo's age is 42 years. Therefore:42 = 8 + 2A⇒ 2A = 42 - 8 = 34⇒ A = 17Therefore, Alejandro's age is 17 years old.
Alejandro's age is given as follows:
17 years old.
How to obtain Alejandro's age?Alejandro's age is obtained solving a system of equations, considering it's age as x.
Double his age is given as follows:
2x.
Eight more than double is given as follows:
2x + 8.
Wilfredo's age is of 42, hence the value of x is given as follows:
2x + 8 = 42
2x = 34
x = 17.
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What is the definition of a pandemic? How does a pandemic differ from an endemic or epidemic? What is the life cycle of the HIV virus once it enters the body? How does the genetic code of the virus change? How does HIV affect the body? How do people become infected with HIV? How does AIDS develop from an HIV infection? What are the current infection rates of HIV across the globe? Where is HIV/AIDS most prevalent? What treatments are currently available for HIV/AIDS? Do some regions of the world have better access to treatments than others? What is the average life expectancy for someone with HIV? Does life expectancy differ around the globe?
Answer:
HIV (human immunodeficiency virus) is a virus that attacks the body’s immune system. If HIV is not treated, it can lead to AIDS (acquired immunodeficiency syndrome). Learning the basics about HIV can keep you healthy and prevent HIV transmission. You can also download materials to share or watch videos on basic information about HIV.
What is HIV?
HIV Overview
HIV (human immunodeficiency virus) is a virus that attacks the body’s immune system. If HIV is not treated, it can lead to AIDS (acquired immunodeficiency syndrome).
There is currently no effective cure. Once people get HIV, they have it for life.
But with proper medical care, HIV can be controlled. People with HIV who get effective HIV treatment can live long, healthy lives and protect their partners.
Where did HIV come from?
History of HIV
HIV infection in humans came from a type of chimpanzee in Central Africa.
The chimpanzee version of the virus (called simian immunodeficiency virus, or SIV) was probably passed to humans when humans hunted these chimpanzees for meat and came in contact with their infected blood.
Studies show that HIV may have jumped from chimpanzees to humans as far back as the late 1800s.
Over decades, HIV slowly spread across Africa and later into other parts of the world. We know that the virus has existed in the United States since at least the mid to late 1970s.
To learn more about the history of HIV in the United States and CDC’s response to the epidemic, see CDC’s HIV and AIDS Timeline.
Step-by-step explanation:
solve pls brainliest
Answer:
neither, neither, terminating, repeating
PLEASE HELP WHOEVER ANSWERS RIGHT GETS BRAINLEST
In a survey of students about favorite sports, the results include 23 who like tennis, 26 who like football, 10 who like tennis and football, 14 who like tennis and baseball, 17 who like football and baseball, 4 who like all three sports, and 7 who like none of the sports. How many students like only tennis and football? How many students like only tennis and baseball? How many students like only baseball and football?
Answer:
10
14
17
Step-by-step explanation:
I says it in the problem...right?
Which of the following are true about the graph of f(x)=−4x2?
Select the TWO that apply.
the answer is A and D
when you differentiate the question you find that the maximum point is (0,0)i.e
\( \frac{dy}{dx} = - 8x\)
when dy/dx is 0 values of x are 0,0
and the function shows that valies of x are real numbers.
The domain of the graph is (−∞,∞), {x|x∈R} and the maximum point (0,0) which is the correct answer would be options (A) and (D)
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
Given function as
f(x) = -4x²
The range is the set of values that correspond with the domain.
Range: (−∞,0], {y|y≤0}
Domain: (−∞,∞), {x|x∈R}
and the function shows that values of x are real numbers.
The maximum point is when differentiating the function, which is (0,0) i.e
dy/dx = -8x
Values of x are 0 when dy/dx is 0.
Hence, the domain of the graph is (−∞,∞), {x|x∈R} and the maximum point (0,0) which is the correct answer would be options (A) and (D)
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At the beginning of spring, Anthony planted a small sunflower in his backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 1.5 inches per week. How tall would the sunflower be after 9 weeks? How tall would the sunflower be after ww weeks
Answer:
Height after 9 weeks: 1.5(9)+5= 18.5
Height after w weeks: 1.5w+5
Step-by-step explanation:
A ribbon surrouds the edge of a circular hat that has a radius of 8 inches. Find the length of the ribbon tot he nearest tenth.
The length of the ribbon to the nearest tenth is 50.3 inches.
To find the length of the ribbon that surrounds the edge of a circular hat that has a radius of 8 inches, we can use the formula for the circumference of a circle.
The formula for the circumference of a circle is given by the following:
C = 2πr
Where C represents the circumference of the circle, π represents the constant value of pi which is approximately equal to 3.14, and r represents the radius of the circle.
Given that the circular hat has a radius of 8 inches, we can use this value to find the circumference of the circle.
Hence, we have: r = 8 inches
C = 2πr
C = 2π(8)C = 16π
The length of the ribbon that surrounds the edge of the circular hat is equal to the circumference of the circle. Therefore, the length of the ribbon is:16π ≈ 50.3 inches (to the nearest tenth)
Therefore, the length of the ribbon to the nearest tenth is 50.3 inches.
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LOOKING FOR SOMEONE TO EXPLAIN PRIME FACTORIZATION in the easiest way possible please. please write an actual answer. examples would be appreciated
Can somebody good at math help me with these please I would really appreciate it
Answer:
1) The discount is $4.05
The sale price is $18.45
2) The discount is $10
The sale price is $30
3) The discount is $2.6
The sale price is $23.4
Step-by-step explanation:
1) What is the discount and sale price for a haircut that originally cost $22.50 with an 18% discount.
Actual Price= $22.50
Discount = 18%
Finding discount:
\(18\%\:of\:22.50\\=\frac{18}{100}\times 22.50\\=4.05\)
So, the discount is $4.05
Finding Sale Price
The sale price can be found by: \(Sale\;Price=Actual\:Price-Discount\)
Putting values and finding sale price:
\(Sale\:Price=22.50-4.05\\Sale\:Price=18.45\)
The sale price is $18.45
2) What is the discount and sale price for a sweatshirt that originally priced $40.00 with an 25% discount.
Actual Price= $40.00
Discount = 25%
Finding discount:
\(25\%\:of\:40.00\\=\frac{25}{100}\times 40.00\\=10\)
So, the discount is $10
Finding Sale Price
The sale price can be found by: \(Sale\;Price=Actual\:Price-Discount\)
Putting values and finding sale price:
\(Sale\:Price=40.00-10\\Sale\:Price=30\)
The sale price is $30
2) What is the discount and sale price for a large pizza that originally cost $26.00 with an 10% discount.
Actual Price= $26.00
Discount = 10%
Finding discount:
\(10\%\:of\:26.00\\=\frac{10}{100}\times 26.00\\=2.6\)
So, the discount is $2.6
Finding Sale Price
The sale price can be found by: \(Sale\;Price=Actual\:Price-Discount\)
Putting values and finding sale price:
\(Sale\:Price=26.00-2.6\\Sale\:Price=23.4\)
The sale price is $23.4