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Michelle has four credit cards with the balances and interest rates listed below. Rather than budget to pay each of the credit cards off in 36 months, Michelle would like to pay them off one at a time based on the balance for each credit card. In which order should Michelle pay off her credit cards? Credit Card Balance APR #1 $4,380 17% #2 $1,365 19% #3 $2,480 23% #4 $5,000 15%

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Answer:

#4, #1, #3, #2

Step-by-step explanation:

We will calculate the total amount for each of the credit card and then arrange them in descending order according to their interest after 36 months (3 years)

Interest on Credit card 1 = frac{4380*17*3}{100}

                                        = $2233

Interest on credit card 2 = frac{1365*19*3}{100}

                                        = $778

Interest on credit card 3 = frac{2480*23*3}{100}

                                        = $1656

Interest on credit card 4 = frac{5000*15*3}{100}

                                        = 2250

Hence the correct order to pay off all the credit card balances is

#4, #1, #3, #2

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Franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. Assume he makes no other withdrawls or deposits. The equation below can be used to find m, the number of months it take him to save a total of $175 . What number should he use as the coefficient of m ??

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Franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. Assume he makes no other withdrawls or deposits. The equation below can be used to find m, the number of months it take him to save a total of $175 . What number should he use as the coefficient of m ??

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You invest $6000 into an account paying 3.75% annual interest compounded bimonthly(every 2 months), and you want to have $10,000 saved for your first year of college. How long will it take for your investment to grow that large? Round your answer to the nearest whole number.

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The formula is
A=p (1+r/k)^kt

A future value 10000
P present value 6000
R interest rate 0.0375
K compounded every two months 6
T time?

We need to solve for t
T= [log (A/p)÷log (1+r/k)]÷k
T=(log(10,000÷6,000)÷log(1+0.0375÷6))÷6
T=13.7 years
Round your answer to get
T=14 years

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There are 150 marigold plants in a back yard. Each month, the number of marigold plants decreases by 15%. There are 125 sunflower plants in the back yard. Each month, 8 sunflower plants are removed. Part A: Write functions to represent the number of marigold plants and the number of sunflower plants in the back yard throughout the months. (4 points) Part B: How many marigold plants are in the back yard after 3 months? How many sunflower plants are in the back yard after the same number of months? (2 points) Part C: After approximately how many months is the number of marigold plants and the number of sunflower plants the same? Justify your answer mathematically. (4 points)

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If a quantity A is decreased by 15%, it means that what is left is 85% of it.

85%A= frac{85}{100}A=0.85A

Part A.

Consider the 150 marigolds.

After the first month, 0.85*150 are left
After the second month, 0.85*0.85*150= (0.85)^{2} *150
After the third month, 0.85*0.85*0.85*150 =  (0.85)^{3}*150
.
.
so After n months,  (0.85)^{n}*150 marigolds are left.

in functional notation: M(n)=(0.85)^{n}*150 is the function which gives the number of marigolds after n months

consider the 125 sunflowers.

After 1 month, 125-8 are left
After 2 months, 125-8*2 are left
After 3 months, 125-8*3 are left
.
.
After n months, 125-8*n sunflowers are left.

In functional notation: S(n)=125-8*n is the function which gives the number of sunflowers left after n months

Part B.

M(3)=(0.85)^{3}*150=0.522*150=78 marigolds are left after 3 months.

S(3)=125-8*3=125-24=121 sunflowers are left after 3 months.

Part C.

Answer : equalizing M(n) to S(n) produces an equation which is very complicated to solve algebraically.

A much better approach is to graph both functions and see where they intersect.
 
Another approach is by trial, which gives 14 months

M(14)=(0.85)^{14}*150=15

S(14)=125-8*14=125-112=13

which are close numbers to each other.

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If you are under the age of 18 and accumulate six points on your license within 12 months you will lose all driving privileges until you turn 21 be your driving privileges are automatically restricted to business purposes only for 12 months see you will lose your driving privileges for one year no exceptions

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If you are under the age of 18 and accumulate six points on your license within 12 months you will lose all driving privileges until you turn 21 be your driving privileges are automatically restricted to business purposes only for 12 months see you will lose your driving privileges for one year no exceptions

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Read the paragraph. Then answer the question that follows. The USS Alabama, built in 1942, is a monster weighing in at 35,000 tons. The ship was built during the Second World War and spent 40 months actively assisting the war effort in the Pacific Ocean. During that time, she was in 26 battles. In 1964, the ship moved to her present home in Mobile, Alabama. To what is the USS Alabama compared? A. a ship B. a war C. a battle D. a monster

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Read the paragraph. Then answer the question that follows. The USS Alabama, built in 1942, is a monster weighing in at 35,000 tons. The ship was built during the Second World War and spent 40 months actively assisting the war effort in the Pacific Ocean. During that time, she was in 26 battles. In 1964, the ship moved to her present home in Mobile, Alabama. To what is the USS Alabama compared? A. a ship B. a war C. a battle D. a monster

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When is the BEST time to be tested for HIV? A.immediately after possible exposure B.two to three weeks after possible exposure C.approximately eight weeks after possible exposure to the virus D.three months after possible exposureWhich of the following is a function of public health policy?A.to increase the transmission of diseasesB.to control outbreaks of diseasesC.to educate the public to make risky health decisionsD.to provide vaccinations against diseases

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The answer to your first question is D. Three months. The reason why is it takes at least 3 months to have detectible HIV antibodies. In rare cases, it may take up to 6-12 months.

The second question I’m not 100% positive on but I believe the answer would be B. 

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A company's monthly profit increases by $1,000 each month. In January, the profit of the company was $25,000. If x = 0 represents January, which of the following equations represents the profit as a function of time (in months)? A. y = 25,000x + 1,000 B. y = 1,000x C. y = 1,000x – 25,000 D. y = 1,000x + 25,000

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A company’s monthly profit increases by $1,000 each month. In January, the profit of the company was $25,000. If x = 0 represents January, which of the following equations represents the profit as a function of time (in months)? A. y = 25,000x + 1,000 B. y = 1,000x C. y = 1,000x – 25,000 D. y = 1,000x + 25,000

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Calculate the speed with which the moon orbits the earth given the distance from earth to moon as R = 3.84 · 108 m. (Astronomers note that the true orbital period of the moon, is 27.3 Earth days. Interestingly, this would mean that there are approximately 13 months in a year. Use the 27.3 days/month for T – the time required for one revolution in your calculation.)

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This sounds pretty easy, in fact. The orbital motion can be assumed to be circular and with constant speed. Then, the period is the time to do one revolution. The distance is the length of a revolution. That is 2*pi*R, where R is the distance between the Moon and the Earth (the respective centers to be precise). In summary, it’s like a simple motion with constant speed:

v = 2*pi*R/T,

you have R in m and T is days, which multiplied by 86,400 s/day gives T in seconds.

Then v = 2*pi*3.84*10^8/(27.3*86,400) = 1,022.9 m/s ~ 1 km/s (about 3 times the speed of sound 🙂

For the Earth around the Sun, it would be v = 2*pi*149.5*10^9/(365*86,400)~ 29.8 km/s!

I know it’s not in the problem, but it’s interesting to know how fast the Earth moves around the Sun! And yet we do not feel it (that’s one of the reasons some ancient people thought crazy the Earth not being at the center, there would be such strong winds!)

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Andrew deposited $500 in a savings account that offers an interest rate of 6.5%, compounded continuously. Andrew's initial deposit will grow to $543 in ___ months.

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Andrew deposited $500 in a savings account that offers an interest rate of 6.5%, compounded continuously. Andrew’s initial deposit will grow to $543 in ___ months.

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13. I plan to work with a tutor three days per week for one hour over the next three months so that I can improve my SAT scores. This is an example of a: a.performance goal b.outcome goal

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Individuals eliminate alcohol from their bodies at an approximate rate of .015 BAL per hour. Correct answer: C Once alcohol has entered your bloodstream, your body will begin to metabolize it at a rate of 20 milligrams per deciliter (mg/dL) per hour. Despite the fact that alcohol is metabolized at a constant rate, some people may feel the effects of alcohol for longer amounts of time. The reason is because BAL is affected by several factors, like age, weight, medications…

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14. I plan to lose some weight over the next three months by going to the gym three times a week and cutting back on my fast food intake. What is the problem with this goal? a.It does not state how much weight needs to be lost. b.This is an impossible goal. c.This goal is not time bound. d.Only females would state this goal.

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A) Increase his activity and exercise levels and add more calories to gradually gain weight

 B) Increase his activity and exercise levels and eat the same number of calories to gradually gain weight

C) Increase his snacks to two or three per day until he reaches his target weight

D) Increase his calories consumed and do less activity and exercise until he reaches his target weight

The best answer is A

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Your license can be suspended for three months if you accumulate 18 points within a(n) ____________ period.

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Your license can be suspended for three months if you accumulate 18 points within a(n) ____________ period.

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Marie has $830 in her bank account and withdraws $60 each month. Denise has $970 in her bank account and withdraws $80 each month. In how many months will Marie and Denise have equal amounts of money in their accounts? A. 4 B. 5 C. 7 D. 9

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The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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Which of the following risks is the least likely to affect an individual who has been smoking for only a few months? A. lung cancer B. shortness of breath C. yellowing teeth D. reduced sense of smell

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Charlie had a waist circumference of 47 inches and a BMI of 29 this shows that she is overweight. BMI test level is high from normal ranges shows that she is at higher risk of disease. She should lose weight and concern to the doctor.

Further Explanation:

Body mass index (BMI) is a measured value derived from the height of a person and mass.

{text{BMI}}=dfrac{{{text{mass (kg)}}}}{{{{left( {{text{height}}}right)}^2}{{left({text{m}}right)}^2}}}

BMI indicates whether the person is healthy or overweight mainly used by physicians.

• Range of BMI in a normal person is 18.5-25mathbf{kg/m}^{2}

• Range of BMI in skinfold person is 25-30mathbf{kg/m}^{2}

• Range of BMI in underweight person is 15-18.5mathbf{kg/m}^{2}

The skinfold measurement test is used to determine a person’s body fat percentage and body composition.

In this test, we are the proportion of body fat by determining skinfold thickness at pinches specific part of the body. The estimate of these folds is determined the fat beneath the skin, also called subcutaneous adipose tissue.  

The tester pinches the skin at the site and drags the fold of skin away from the muscle so only the fat tissue and skin are being held. The skinfold thickness is measured by skinfold calipers in millimeters.

Skin test includes the seven locations of the body:

1. Triceps

2. Quadriceps

3. Suprailiac

4. Pectoral

5. Subscapular

6. Midaxilla

7. Abdomen

Charlie had a waist circumference of 47 inches and a BMI of 29 this shows that she is overweight. Females with waist size 47 inches have higher risk of having disease. BMI test level is high from normal ranges shows that she is at higher risk of disease.She should lose weight and concern to the doctor.

Learn more:  

1. Learn more about carbohydrate monomer brainly.com/question/6947177

2. Learn more about core muscle stabilization brainly.com/question/1231927

3. Learn more about energy storagehttps://brainly.com/question/523624

Answer Details:

Grade: High School

Subject: Health

Chapter: Physical Fitness

Keywords:

Body index mass, weight, doctor, triceps, abdomen, midaxilla, Quadriceps, skinfold, mass, height, pectoral.

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Meike earned $1565 in tips while working a summer job at a coffee shop. She wants to use this money to take a trip to Europe next summer. If she places the money in an account which pays 6.5% compounded continuously, how much money will she have in nine months?

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Meike earned $1565 in tips while working a summer job at a coffee shop. She wants to use this money to take a trip to Europe next summer. If she places the money in an account which pays 6.5% compounded continuously, how much money will she have in nine months?

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A 20-year, $148,000 mortgage is taken out with a 4.9% APR. If payments are scheduled monthly and there are no additional costs, determine the balance on the account after the first month’s payment has been made.

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Answer:

Number of copy machines must be made to minimize the unit cost=160.

Step-by-step explanation:

We are given that the unit cost function C ( the cost in dollars to make each copy machine)

If machines are made =x

Then the unit cost function is given by

C(x)=0.8x^2-256x+25939

We have to find the number of copy machines for  minimize the unit  cost

C(x)=0.8x^2-256x+25939

Differentiate with respect to x

Then we get

frac{mathrm{d}C}{mathrm{d}x}=1.6x-256 ……(equation I)

To find the value of x then we susbtitute frac{mathrm{d}C}{mathrm{d}x} is equal to zero

frac{mathrm{d}C}{mathrm{d}x}=0

1.6x-256=0

1.6x=256

x=frac{256}{1.6}

By using division property of equality

x= 160

Again differentiate the equation I with respect to x then we get

frac{mathrm{d}^2 C}{mathrm{d}^2 x}=1.6 >0

Hence, the unit cost is minimize for x=160

Therefore, the number of copy machines must be made to minimize the unit cost =160

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I spent 25 Points, PLEASE HELP! In a graph, x represents the number of months since a business opened, and y represents the total amount of money the business has earned. The following three points are from the graph: (2, 1990) (5, 4225) (9, 7205) Find the slope and y-intercept. Explain what each represents.

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The polinomials only can have positive whole exponents, that is: 1, 2, 3, 4, 5, 6, … (you can include 0 also, because it iis the independent term).

So, if you are told that one term of the polynomial is 9 x ^ (negative something), it is necessary that the number after the negative sign be negative, given that negative times negative is positive.

Therefore, the only possible option from the answer choices is the option 3) -9.

Answer: 3) – 9

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7. Researchers captured and tagged 45 deer before releasing them back into their habitat. Several months later the researchers returned and captured 30 deer, 8 of which had tags. Use this information to estimate the total deer population for this area.

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You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

 = 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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Vanya, a newborn going through a growth spurt, grew out of an average of 250 socks per month from January to March, inclusive. He grew out of an average of 300 socks per month in April and May. Find the average amount of socks Vanya grew out of during the 5 months.

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Vanya, a newborn going through a growth spurt, grew out of an average of 250 socks per month from January to March, inclusive. He grew out of an average of 300 socks per month in April and May. Find the average amount of socks Vanya grew out of during the 5 months.

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Jane is four months pregnant. when describing how her baby is developing, jane is most likely talking about changes that occur during the ________ period

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According to Jean Piaget, around age 11, the fourth stage of cognitive development, the formal-operational stage begins.
This is the stage that starts at around 11, and lasts into the adulthood and the rest of a human’s life. During this period, people start understanding abstract concepts, develop logical thought, as well as deductive reasoning, which are all important for the years to come.

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The mean life of pairs of shoes is 40 months with a standard deviation of 8 months. if the life of the shoes is normally distributed, how many pairs of shoes out of one million will need replacement before 30 months? round your answer to the nearest integer.

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You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

 = 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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During a grade school field trip, ryan and his friends were running down a hill when he stepped on a snake. he was unharmed but shaken by the experience. when one of his friends mentioned the incident months later, ryan could not remember running down the hill that day. freud would say that this is an example of

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Answer:

The answer is C. In order to carefully control conditions and confirm or disconfirm a hypothesis about the causes of behavior, one must perform an experiment.

Explanation:

Experimental research allows the researcher to control all the variables in order to create the conditions that can confirm or disconfirm a hypothesis. This method aimes to establish a relation of causality between two variables, which means that one variable is generated and determined by the other; this is posible because all of the other variables that can influence it have been controlled.

When a researcher conducts a survey or engages in naturalistic observation, he can’t control the variables, therefore, he can only establish a correlation between two variables, but not of causality.

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Andy has been consuming a set number of calories and recently added an additional 100 calories in the form of a daily snack. Although he is not trying to lose weight, he has lost one pound per week over the last two months. He wants to increase his level of activity and exercise, and he wants to return to his weight from two months ago. Which strategy should he follow to prevent becoming underweight? Increase his activity and exercise levels and add more calories to gradually gain weight Increase his activity and exercise levels and eat the same number of calories to gradually gain weight Increase his snacks to two or three per day until he reaches his target weight Increase his calories consumed and do less activity and exercise until he reaches his target weight

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1. The answer is “C”.

“Identical twins” who have been raised apart are typically more similar in intelligence level than biological siblings raised together because they have been born with the same genetic code.

Identical twins originate from a single fertilized egg that parts into two. Before it parts, it is either male or female. After it parts, there are either two guys or two females. The two sections of the fertilized egg embed in the uterus and every create one of the twins.  

Identical twins have the equivalent hereditary source. No immediate reason for monozygotic twinning has been resolved; it isn’t innate. Monozygotic twins speak to around 33% all things considered. They may look strikingly comparative, and it might be hard to reveal to them separated.

2. The answer is “A”.

Lawrence Kohlberg felt that one of the only ways individuals will accomplish the objectives in each of his six stages was to participate in “consensus democracy” in small group settings.

Lawrence Kohlberg felt that the best way to support development through these stages was by discourse of good problems and by investment in consensus democracy inside small groups. Consensus democracy was rule by understanding of the gathering, not larger part rule. This would invigorate and widen the reasoning of youngsters and grown-ups, enabling them to advance starting with one phase then onto the next.

3. The answer is “D.  showing a learner how to correct common mistakes”.

The term scaffolding alludes to a procedure in which instructors display or exhibit how to take care of an issue, and afterward venture back, offering support as required. Analyst and instructional architect Jerome Bruner first utilized the term ‘scaffolding’ in this setting, harking back to the 1960s. The hypothesis is that when understudies are given the help they require while discovering some new information, they stand a superior possibility of utilizing that learning freely. Bruner suggests positive association and three methods of portrayal amid educating: activities, pictures, and dialect.  

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You have just purchased a 10-year, $1,000 par value bond. the coupon rate on this bond is 8 percent annually, with interest being paid each 6 months. if you expect to earn a 10 percent simple rate of return on this bond, how much did you pay for it?

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You have just purchased a 10-year, $1,000 par value bond. the coupon rate on this bond is 8 percent annually, with interest being paid each 6 months. if you expect to earn a 10 percent simple rate of return on this bond, how much did you pay for it?

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