If an eight-day single payment loan has a periodic interest rate of 11.1%, what is the approximate effective interest rate of the loan?O A. 120,815.9% O B. 121,815.9% O C. 12,081.6% O D. 12,181.6%

Answers

Answer 1

Therefore, the approximate effective interest rate of the loan is approximately 121.816%, which corresponds to answer choice B.

What is percent?

Percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol % and represents a portion of 100. Percentages are often used to express ratios, proportions, and rates in a variety of fields such as math, science, finance, and statistics. They can also be used to compare two quantities and determine the increase or decrease of one quantity relative to another.

Here,

To find the effective interest rate, we can use the formula:

Effective interest rate = (1 + (periodic interest rate/n))ⁿ - 1

where n is the number of payment periods in a year. In this case, the loan has a single payment period of 8 days, which is less than a year. To approximate the effective interest rate, we can assume that there are 365/8 = 45.625 payment periods in a year.

Substituting the given values in the formula, we get:

Effective interest rate = \((1 + (0.111/45.625))^{45.625} - 1\)

Effective interest rate ≈ 1.21816

Multiplying the result by 100% gives the effective interest rate as a percentage:

Effective interest rate ≈ 121.816%

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Related Questions

need help finding the m

need help finding the m

Answers

Answer:

79 degree

Step-by-step explanation:

A triangle is 180 degrees

We know that angle D and F is equal to each other

180 - 22 = 158 degree

158 / 2 = 79 degree

So, m<F = 79 degree


Last week, gas cost $2.50/gallon. This week, gas cost $3.20/gallon. What was in the
percent change (increase)?

Answers

Answer:

28%

Step-by-step explanation:

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Determine the equation of the ellipse.

Determine the equation of the ellipse.

Answers

The equation of the ellipse in standard form is (x - 9)² / 64 + (y + 2)² / 100 = 1.

How to derive the equation of the ellipse

In this problem we must determine the equation of the ellipse in standard form, whose foci are (15, - 2) and (3, - 2) and co-vertices are (9, 6) and (9, - 10). The ellipse is defined by the following equation:

(x - h)² / b² + (y - k)² / a² = 1

Where:

(h, k) - Center of the ellipse.a - Length of the minor semiaxis.b - Length of the major semiaxis.

First, determine the center of the ellipse:

(h, k) = 0.5 · (15, - 2) + 0.5 · (3, - 2)

(h, k) = (9, - 2)

Second, determine distance between a focus and the center of the ellipse:

(c, 0) = (15, - 2) - (9, - 2)

(c, 0) = (6, 0)

c = 6

Third, determine the length of the minor semiaxis:

(0, b) = (9, 6) - (9, - 2)

(0, b) = (0, 8)

b = 8

Fourth, determine the length of the major semiaxis:

a = √(b² + c²)

a = √(8² + 6²)

a = 10

Fifth, write the equation of the ellipse:

(x - 9)² / 64 + (y + 2)² / 100 = 1

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solve the following recurrence relation: remarks: t(n)=t(n-1) n

Answers

A recurrence relation is a mathematical equation or formula that defines a sequence or series of values based on one or more previous terms in the sequence. The recurrence relation here is t(n) = n!

To solve the given recurrence relation t(n)=t(n-1) n, we can start by finding some initial values. Let's consider the base case t(1) = 1.

Now, we can use the recurrence relation to find t(2), t(3), t(4), and so on:

t(2) = t(1) * 2 = 1 * 2 = 2

t(3) = t(2) * 3 = 2 * 3 = 6

t(4) = t(3) * 4 = 6 * 4 = 24

We can see a pattern emerging: t(n) = n!.

So, the solution to the recurrence relation t(n) = t(n-1) * n is t(n) = n!, where n is a positive integer. This means that the value of t(n) is the product of all positive integers from 1 to n.

For example, t(5) = 5! = 1 * 2 * 3 * 4 * 5 = 120.

Therefore, the solution to the recurrence relation is t(n) = n!

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4 . 2 points The barium ion is toxic to humans. However, barium sulfate is comnsoaly wed as an imnge enhancer for gastroiatestinal \( x \)-rays. What isoes this impty about tie poation of the equilibr

Answers

The use of barium sulfate as an image enhancer for gastrointestinal X-rays, despite the toxicity of the barium ion, implies that the equilibrium state of barium sulfate in the body.

Barium sulfate is commonly used as a contrast agent in gastrointestinal X-rays to enhance the visibility of the digestive system. This indicates that barium sulfate, when ingested, remains in a relatively stable and insoluble form in the body, minimizing the release of the toxic barium ion.

The equilibrium state of barium sulfate suggests that the compound has limited solubility in the body, resulting in a reduced rate of dissolution and a lower concentration of the barium ion available for absorption into the bloodstream. The insoluble nature of barium sulfate allows it to pass through the gastrointestinal tract without significant absorption.

By using barium sulfate as an imaging enhancer, medical professionals can obtain clear X-ray images of the digestive system while minimizing the direct exposure of the body to the toxic effects of the barium ion. This reflects the importance of considering the equilibrium state of substances when assessing their potential harm to humans and finding safer ways to utilize them for medical purposes.

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What are the y- intercept(s) of the function f(x) = |x+1-2

What are the y- intercept(s) of the function f(x) = |x+1-2

Answers

Answer:(0,-1)

Step-by-step explanation:

holaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

HIIIIIIIIIIII

Step-by-step explanation:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

You flip a coin and roll the 20-sided figure. Find the probability of flipping tails and rolling at least a 14.
The probability is?

Answers

Answer: 17.5%

Step-by-step explanation:

Flipping tails: 50%

Rolling at least 14: 35%

Total: 50% x 35% = 17.5%

I donno if i'm right

Casey walked diagonally, from one corner to the opposite corner, across a square garden whose sides are 25 feet. How far did he walk?

Answers

Answer:

25m

Step-by-step explanation:

A square is a parallelogram having all sides equal. Hence, if Casey walked diagonally, she should have gone 25m as the rules of square states.

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Determine whether the graphs of the given equations are​ parallel, perpendicular, or neither.
y=5x+8
y=−5x+4
Choose the correct answer below.

Parallel

Neither

Perpendicular

Answers

perpendicular, because the slopes of the equations are the same number but one is negative

please help me i need help

please help me i need help

Answers

Answer:

Step-by-step explanation:

a c d are the answer

Which proportion can you use to find the value of a? ​

Which proportion can you use to find the value of a?

Answers

The proportion used to find the value of a is a/18 = 16/a

What is proportion?

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Given are three similar triangles, (refer to attached figure to separately see the similar triangles)

We know that, similar triangle have corresponding sides in equal ratio,

Therefore,

a/18 = 16/a

Hence, the proportion used to find the value of a is a/18 = 16/a

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Which proportion can you use to find the value of a?

Which value of r indicates a stronger correlation: r = 0.748 or r= -0.943? Explain your reasoning. Choose the correct answer below. O A. r=0.748 represents a stronger correlation because | - 0.943| > |0.748). O B. r= -0.943 represents a stronger correlation because | - 0.943| > |0.748). O c. r=0.748 represents a stronger correlation because 0.748 > -0.943. D. r= -0.943 represents a stronger correlation because 0.748 > -0.943

Answers

Answer:

Step-by-step explanation:

c

B. r= -0.943 represents a stronger correlation because | - 0.943| > |0.748).

B. r= -0.943 represents a stronger correlation because | - 0.943| > |0.748|. The absolute value of -0.943 is larger than the absolute value of 0.748, indicating a stronger correlation. When the correlation coefficient is negative, it means that there is a strong negative relationship between the variables, while a positive correlation coefficient indicates a strong positive relationship.

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Joel is considering putting a $4300 laptop purchase on his credit card, which has an interest rate of 535% compounded monthly. How long will it take him to pay off the purchase if he makes monthly payments of $40 ? Round your answer to the nearest tenth of a year.

Answers

It will take Joel approximately 7.9 years (or 94.6 months) to pay off his $4300 laptop purchase on his credit card with an interest rate of 535% compounded monthly if he makes monthly payments of $40.

To calculate the time it will take Joel to pay off his $4300 laptop purchase on his credit card with an interest rate of 535% compounded monthly, we can use the formula for the number of periods (n) required to pay off a loan:

n = -log(1 - (r * p) / l) / log(1 + r)

where r is the monthly interest rate (which is 5.35), p is the monthly payment (which is $40), and l is the initial loan amount (which is $4300).

Plugging in these values, we get:

n = -log(1 - (0.0535 * 40) / 4300) / log(1 + 0.0535)

n = -log(0.99093023256) / log(1.0535)

n = 94.6

Therefore, it will take Joel approximately 94.6 months to pay off his laptop purchase, which is equivalent to about 7.9 years.

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At a wedding there were 40 people from gromms side and 56 people from bride's family at the wedding

find the ratio of the groom's family to the bride's family at the wedding ​

Answers

Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

The answer is 96 people in total.

Explanation- 50+56 Is 106. So 106- 10=96.

There is your answer 96.

Find the direction of the
resultant vector.
Ө 0 = [ ? ]°
(-6, 16)
W
V
(13,-4)
Round to the nearest hundredth

Answers

The direction of the resultant vector is approximately -68.75°.

To find the direction of the resultant vector, we can use the formula:

θ = arctan(Vy/Vx)

where Vy is the vertical component (y-coordinate) of the vector and Vx is the horizontal component (x-coordinate) of the vector.

In this case, we have a resultant vector with components Vx = -6 and Vy = 16.

θ = arctan(16/-6)

Using a calculator or trigonometric table, we can find the arctan of -16/6 to determine the angle in radians.

θ ≈ -1.2039 radians

To convert the angle from radians to degrees, we multiply by 180/π (approximately 57.2958).

θ ≈ -1.2039 * 180/π ≈ -68.7548°

Rounding to the nearest hundredth, the direction of the resultant vector is approximately -68.75°.

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The scatter plot shows the number of households, in millions, that have cable television over eight consecutive years. image of a scatter plot with x axis labeled Time in Years and y axis labeled Number of Households, with points at 1 comma 3 and 8 tenths, 2 comma 5 and 8 tenths, 3 comma 6 and 2 tenths, 4 comma 7 and 5 tenths, 5 comma 7 and 2 tenths, 6 comma 8 and 3 tenths, 7 comma 9 and 3 tenths, and 8 comma 8 and 5 tenths. Predict the number of households with cable television in year 11.

Answers

The equation of the appropriate line of best fit is y = 1.25x + 2

How to determine the line of best fit?

Start by drawing a line through the points (see attachment)

From the attached graph, we have:

(x, y) = (0,2) and (4,6.5)

Calculate the slope (m) using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (6.5 - 4)/(2 - 0)

Evaluate

m = 1.25

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 1.25(x - 0) + 2

Expand

y = 1.25x + 2

Hence, the equation of the appropriate line of best fit is y = 1.25x + 2

Find the slope of the line that passes through
(-4, 7) and (-6, -4)

Answers

Answer:

The slope of the line is 11/2

remember, rise over run.

Step-by-step explanation:

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Answer:

\(m=\frac{11}{2}\)

Step-by-step explanation:

A standardized test has scores that are normally distributed with a mean of 120 and a standard deviation of 20, Anastasia scores a 110 , What is the z-score corresponding to her test score? −0.5 0.5 2 −2

Answers

The z-score corresponding to Anastasia's test score is -0.5. This indicates that her score is 0.5 standard deviations below the mean.

To calculate the z-score corresponding to Anastasia's test score of 110, we can use the formula:

z = (x - mean) / standard deviation

where x is Anastasia's score, mean is the mean of the test scores (120), and standard deviation is the standard deviation of the test scores (20).

Substituting the values into the formula, we get:

z = (110 - 120) / 20 = -0.5

Therefore, the z-score corresponding to Anastasia's test score is -0.5. This indicates that her score is 0.5 standard deviations below the mean. A negative z-score implies that her score is below the mean, while a positive z-score would indicate a score above the mean. In this case, Anastasia's z-score of -0.5 suggests that her score is below average relative to the distribution of scores on the standardized test.

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what is the relationship between a and b in a star?

Answers

Answer:

Step-by-step explanation:

The Luminosity of a star is proportional to its Effective Temperature to the 4th power and its Radius squared." Example 1: Two stars are the same size, (RA=RB), but star A is 2x hotter than star B (TA=2TB): Therefore: Star A is 24 or 16x brighter than Star B.

(-3,7), (3,3) write in standard form

Answers

Answer:

3x−y=2

Step-by-step explanation:

Solve equation
0=5x+3

Answers

Answer:

the answer is -3/5

Step-by-step explanation:

x=-0.6

Answer:

0   =5x+3

-3   =5x

-3/5=x

    x=-3/5

What table is proportional

What table is proportional

Answers

Answer:

C

Step-by-step explanation:

x is 2 times as y is the pattern

there are more than 7 shades of skin color. can you offer an explanation?

Answers

First and foremost, it is important to note that human skin color is determined by a variety of factors, including genetics, environmental influences, and geographic location. In fact, skin color is the result of the amount and type of melanin pigment produced by specialized cells in the skin called melanocytes.

There are two main types of melanin pigment: eumelanin and pheomelanin. Eumelanin is responsible for producing darker skin colors, while pheomelanin produces lighter skin colors. However, the amount and distribution of these pigments can vary greatly between individuals, resulting in a wide range of skin tones.

Additionally, skin color can also be influenced by factors such as sun exposure, age, and hormonal changes. For example, prolonged sun exposure can lead to darker skin, while aging and hormonal changes can cause changes in skin pigmentation. Furthermore, it is important to note that skin color is not always clearly defined or easily categorized into specific shades. There can be a great deal of variation within a single skin tone, as well as overlap between different skin tones. This is due to the complex interplay of genetic and environmental factors that contribute to skin color.

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GF GF
is justified as a step in a proof using the Reflexive Property of Congruence
Choose...
Alternate Interior Angles Theorem
Hypotenuse-Leg Theorem
Reflexive Property of Congruence
ASA Triangle Congruence Theorem

GF GFis justified as a step in a proof using the Reflexive Property of CongruenceChoose...Alternate Interior

Answers

Answer:

Reflexive property of congruence.

Step-by-step explanation:

Answer:

reflective property

Step-by-step explanation:

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graph the line y=-1/6+1 , I need help tho :/​

Answers

Answer:

Step-by-step explanation:

graph the line y=-1/6+1 , I need help tho :/

In school of 30 students,10% are boys. How money are boys

Answers

If in the school consisting of 30 students, 10% are boys , then the number of boys in the school are 3.

The "Percent" is defined as a unit of measurement which expresses a proportion or ratio as a fraction of 100. It is commonly used to represent relative quantities or comparisons.

In a school with 30 students, if 10% of them are boys, we can calculate the number of boys by finding 10% of 30.

The 10% can be written as a decimal by dividing it by 100,

So, 10% is equivalent to 0.10.

Multiplying 0.10 by 30,

We get,

⇒ 0.10 × 30 = 3,

Therefore, the  number of boys are 3.

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Question 5
20 pts
Use the following equation to find the value
of m and b.
2(4x - 0.7) = mx + b
O a. 4 and -0.7
O b. 8 and -0.7
c. 8 and 1.4
O d. 8 and -1.4

Answers

Answer:

8 and -1.4

Step-by-step explanation:

2(4x)=8x

-.7x2=1.4

14. Solve for the m<1, m<2, m<3 for the Kite.

<3 = 180 - ???

51°

Answers

The measure of angle1 and angle3 is equal that is 39° , and the measure of angle2 is 51° .

We know that , Kites have two sets of equivalent adjacent sides and one set up of congruent opposite angles.

So, the sides "AB" and "AD" are equivalent adjacent sides.

From the figure , m∠1 = 39° ,So , m∠2 = 39° ,

We see that , AC and BD are diagonals.

We also know that diagonals of kite always meet at right angles.

Let the diagonals "AC" and "BD" intersect at point O.

So , In Triangle AOB ,

⇒ m∠O + m∠1 + m∠2 = 180° ,

⇒ 90° + 39° + m∠2 = 180° ,

⇒ m∠2 = 180° - (90° + 39°) ,

⇒ m∠2 = 180° - 129° ,

⇒ m∠2 = 51°

Therefore , the required measure of angles are m∠1 = 39°, m∠2 = 51°, m∠3 = 39°.

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The given question is incomplete , the complete question is

Find m∠1 , m∠2 and m∠3 in the kite. The diagram is not drawn to scale.

14. Solve for the m&lt;1, m&lt;2, m&lt;3 for the Kite. &lt;3 = 180 - ???51

How do I solve (3.4) (6.7) using standard algorithm?

Answers

To solve the equation (3.4)(6.7) using the standard algorithm, first multiply 3.4 and 6.7. Then, the result is 22.78.

How to solve for the standard algorithm?

The standard algorithm for multiplication is a step-by-step process that involves breaking down the numbers being multiplied into simpler parts, and then multiplying those parts together.

First, you would need to multiply the ones place of the first number (4) by the ones place of the second number (7), which would give you 28.

Next, you would need to multiply the ones place of the first number (4) by the tens place of the second number (6), which would give you 24.

Then, you would add the two products from steps 1 and 2 to get the result: 28 + 24 = 52.

Alternatively, you can use the distributive property of multiplication to simplify the problem.

(3.4)(6.7) = 3.46 + 3.40.7 = 22.8


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Write the degree of each of the following polynomials:(1) 5x+4x+7x(ii) 4-y(iii) 5t-7(iv) 3 Researchers surveyed recent graduates of two different universities about their income. the following two-way table displays data for the sample of graduates who responded to the survey. how many graduates in the sample had an income of \$40\text{,}000$40,000dollar sign, 40, start text, comma, end text, 000 and over? Let A = {x, y, z, t, q} and B ={x y, z, t, p, q, r, s}.Find and show each steps. Expatiate on the cause of rage in the poem raider throve I = PRTC = 2r A = r2 what is the difference between 4 hundredths and 8 ten thousandths? . Given that we live in an affluent country, do you think we have an ethical responsibility to help fund programs that will stabilize population growth in developing countries, and encourage sustainability of species and resources globally? Why or why not? Fill in the box with one of the following words: first, second, third.Steve cut his hand deeply while working, and the wound became infected. When Steve first cut his hand, his blankline of immune defense was broken. I coded my data using a numerical code; male was 1, and female was 2, age was kept the same,classical was 1, Electronic was 2, Silence was 3, White noise was 4 and Lo-Fi was 5. The means of each condition were recorded as: silence was 3.4 credits, classical was 2.80 credits, Electronic was 2.83 credits,White noise was 2.75 credits and Lo-Fi was 3.0 credits. Using a independent one-way ANOVA, I got the standard deviation of each condition as well which is as follows: silence was 0.69 credits, classical was 1.78 credits, Electronic was 1.34 credits,White noise was 1.65 credits and Lo-Fi was 2.64 credits.Using the ANOVA test I also found the p-value to be 0.864. Since we were using a confidence ratio of 95%, that means the p-value has to be less than 0.05. Since p>0.05 because p=0.864, then my data is not statistically significant.According to the above, Write the results in proper APA-style statistical notation. If Northern Ireland were to unite with the Republic of Ireland, what challenges do you think the island nation would face? Consider the history of the island, the religious aspects, and the economies. How would this impact the United Kingdom? The general term of a sequence is given by an = 7+3 (n 1) for n > 1.Which recursive formula defines this sequence? 2. Why is ethical truth a philosophic problem? what percentage of the variation in infant mortality rates across states can be explained by differences in the percentages of low birthweight babies in the 50 states Christina wants to buy some miniature goldfish. She reads that a 9-gallon aquarium is theright size for 3 miniature goldfish. The graph represents this relationship.Which points show equivalent ratios that would also be on the graph? Select all that apply.A. (6,18)B. (6,12)C. (4,10)D. (1,3) "In LBO transactions, the lenders value the financial sponsors cash flow generation capability, while largely ignoring the assets of the LBO target."Do you agree with this statement? Briefly explain your answers. This photograph shows soldiers using technology that is MOST LIKELY fromA)World War I.B)World War II.the Boer Wars.Dthe Spanish American War. Luke begins his Gospel by stating that ... (Choose all theapply.)1) He was an eyewitness. 2) He investigated everything carefully before writing hisaccount.3) Many others before him have written Explain the steps you follow to create an argumentative essay about the meaning of a work of drama or poetry. Use specific examples from your essay(s) in this module to support your response. where did a rare tornado touch down in a los angeles suburb, ripping roofs off a line of commercial buildings and sending the debris twisting into the sky and across a city block, injuring one person? (08.01)Two friends went to get ice cream sundaes. They each chose a flavor of ice cream from a list of vanilla and chocolate and toppings HUNlist of hot fudge, strawberries, sprinkles, peanuts, and whipped cream. Use the sets below describing their choices and find B'.