Martina got a prepaid debit card with $20 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 19 cents per yard. If after that purchase there was $15.63 left on the card, how many yards of ribbon did Martina buy?

Answers

Answer 1

Phone card = $20  

You need to minus 17.92 from 20 = $2.08  

$2.08 / 0.13 = how many minutes  

= 16


Related Questions

In a class of 5 , there are 3 students who have done their homework. If the teacher 2 chooses 2 2 students, what is the probability that none of them have done their homework?

Answers

Answer:

2 over 5

Step-by-step explanation:

This means out of 5 students only three did their work so 5-3=2

And the number of students who did their work over the total number of students in the class to find the probability

The probability that none of them have done their homework is 0.57%

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We are given that there are 3 students who have done their homework.

If the teacher 2 chooses 2 students, then;

Total no. of Outcomes= 5

Students who did their homework = 3

Students who didn't do their homework is 5-3 = 2

Probability of no. of students who haven't done their homework.

P(e)= 2/5

Thus P(students who haven't done homework) P(e)=0.57%

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ2

f(x) = x2
g(x) = (x +4)^2 - 1
We can think of g as a translated (shifted) version of f.
Hurry I am in summer school and almost done I need help ASAP!

Answers

Answer:

down by 1 unit and left by 4 units

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Then

g(x) = (x + 4)² - 1

is f(x) shifted down by 1 unit and shifted left by 4 units

If Roger were 32 years older, he would be three times as old as he is now. How old is
Roger?

Answers

Answer:

16

Step-by-step explanation:

Set up the equation ->

x+32=3x  

(you can get this easily by writing the equation down as you read the problem)

--> revisiting  x+32=3x

-x on both sides to isolate the number and put the like terms together

We are left with  32=2x

Divide 2 on both sides, and you will get x (his current age) --> x=16

Roger is currently 16 years old.

Answer:

16

Step-by-step explanation:

3x = 32 + x

2x = 32

x = 16

There are about 320 million people living in the United States. Of these, how many would you predict wear corrective lenses?

Answers

Answer:

243840000 people

Step-by-step explanation:

The total sample size = 1000

Samole proportion of those who wear corrective lenses :

p = x / n ; n = sample size

p = 762 / 1000 = 0.762

To predict the number of people who wear corrective lenses :

Total population * p

320,000,000 * 0.762

= 243840000 people

Answer:

243840000

Step-by-step explanation:


A father's age is thrice the sum of the ages of his two children. After five years, his age will be
twice the sum of their ages. How old is the father?

Answers

Answer: 45 years old

Step-by-step explanation:

Given:

- Father's age is thrice the sum of ages of his two children

- After five years, his age will be twice the sum of their ages

Let x be the two children's current age and 3x be the father's current age

Solve:

Set equation

3x + 5 = 2 ( x + 10 )

Expand parenthesis

3x + 5 = 2x + 20

Subtract 5 on both sides

3x + 5 - 5 = 2x + 20 - 5

3x = 2x + 15

Subtract 2x on both sides

3x - 2x = 15

x = 15

15 × 3 = 45 years old

Hope this helps!! :)

Please let me know if you have any questions

11 + box equals 19 find box​

Answers

Answer:

8

Step-by-step explanation:

11 + x = 19

Subtract 11 from each side

11+x -11 = 19-11

x = 8

Answer:

8

Step-by-step explanation:

11 + box = 19

=> box = 19 - 11

.°. box = 8

A laptop was originally sold for $975. The laptop is now on sale for $828.75.The percent markdown must have been...

Answers

Answer:

15% markdown

Step-by-step explanation:

To find the percent markdown

Take the original price minus the new price

975-828.75

146.25

Divide by the original price

146.25/975

.15

Change to percent form

15% markdown

Find the value of x and y.
60°
6

Answers

Answer:

b .

x = 3

y = 3[tex]\sqrt3[/tex]

Step-by-step explanation:

Using the pythagorean identities for 30-60-90° triangle,

we know the ratio of the sides is    x - x√3 - 2x

Since 2x = 6

Then smallest side is x (opposite ∠30°) = 6/2 = 3

The other side y , opposite ∠60° will be x√3 or 3√3.

9514 1404 393

Answer:

  B. x = 3; y = 3√3

Step-by-step explanation:

You only need to use your sense of triangles to choose the correct answer:

  x < y < 6

This relation fits only one answer choice:

  x = 3, y = 3√3

_____

Additional comment

For multiple choice questions, it isn't always about working the problem. Usually, it is about knowing what the answer has to look like. The usual criteria are (a) is the answer true; (b) does the answer make sense in the context of the problem statement; (c) can you get this answer if you work the problem in detail. More often than not, the first two criteria will let you choose the correct answer without doing any detailed solving.

Write down the name of the solid shape that is being described. "When you cut me in half, the number of faces on one of my halves is double the number of faces that I started with.​

Answers

Answer:

Cone

Step-by-step explanation:

A cone only has 1 side, and when it's cut in half it has two

Equation?
Slope?
Y-intercept?

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (4, 2) ← 2 points on the line

m = [tex]\frac{2-(-3)}{4-0}[/tex] = [tex]\frac{2+3}{4}[/tex] = [tex]\frac{5}{4}[/tex]

The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = [tex]\frac{5}{4}[/tex] - 3 ← equation of line

3.3 A circle has a radius of 12cm. An angle of 3.2 radians is subtended at the centre by an arc. Calculate the length of the arc. (3)​

Answers

Answer:

S = 38.4 centimeters.

Step-by-step explanation:

Given the following data;

Radius, r = 12 cmAngle = 3.2 rads

To find the length of the arc of a circle;

A full circle measures an angle of 360 degrees.

π = 180°

So; Angle, A = 360° = 2π

Therefore, a full circle is equal to 2π in terms of radians (rads).

Also, the circumference (the length of an arc) of a circle is equal to 2πr or Ar.

Mathematically, the length of the arc of a circle is given by the formula;

S = rA

Where;

S is the length of the arc.A is the angle measured in radians.

Substituting into the formula, we have;

S = 12 * 3.2

S = 38.4 centimeters.

Write the sum using summation notation, assuming the suggested pattern continues.

2, -10, 50, -250, +…

Is this sequence arithmetic or geometric? How do you know?

Answers

Answer:

[tex]\sum_{n = 1} 2*(-5)^{n-1}[/tex]

Step-by-step explanation:

An arithmetic sequence is of the form:

[tex]A_n = A_{n-1} + d[/tex]

While a geometric sequence is of the form:

[tex]A_n = A_{n-1}*r[/tex]

notice that first, we have a change of sign in our sequence, so we already can discard the arithmetic sequence.

In fact, the pattern is kinda easy to see.

The first term is:

A₁ = 2

the second term is:

A₂ = -10

notice that:

A₂/A₍ = r = -10/2 = -5

The third term is:

A₃ = 50

the quotient between the third term and the second term is:

A₃/A₂ = 50/-10 = -5

Whit this we can already conclude that the n-th term of our sequence will be:

[tex]A_n = A_{n-1}*(-5)[/tex]

Then the summation will be something like:

[tex]\sum_{n = 1} A_n = A_1 + A_2 + A_3 + ... = 2 - 10 + 50 - ...[/tex]

We can write:

[tex]A_n = A_{n-1}*(-5) = (A_{n-2}*(-5))*(-5)) = A_1*(-5)^{n-1} = 2*(-5)^{n-1}[/tex]

Then the summation is just:

[tex]\sum_{n = 1} 2*(-5)^{n-1}[/tex]

In 5 days she made 80 sandcastles. Each day she made 4 fewer castles than the day before. How many castles did she make each day?

Answers

Answer:

Castles made:    N         day 1

                           N - 4    day 2

                           N - 8     day 3

                           N - 12     day 4

                           N - 16      day 5

Total   5 N - 40 = 80

              N = 24  total  castles day 1

Total castles = 24 + 20 + 16 + 12 + 8 = 80

A scientist has acid solutions with concentrations of 4% and 15%. He wants to mix some of each solution to get 44 milliliters of solution with a 12% concentration. How many milliliters of each solution does he need to mix together?​

Answers

Let x and y be the amounts (in mL) of the 4% and 15% solutions, respectively, that the scientist needs to use.

He wants to end up with a 44 mL solution, so

x + y = 44 mL

Each milliliter of 4% solution contains 0.04 mL of acid, while each mL of 15% contains 0.15 mL of acid. The resulting solution should have a concentration of 12%, so that each mL of it contains 0.12 mL of acid. Then the solution will contain

0.04x + 0.15y = 0.12 × (44 mL) = 5.28 mL

of acid.

Solve for x and y. In the first equation, we have y = 44 mL - x, and substituting into the second equation gives

0.04x + 0.15 (44 mL - x) = 5.28 mL

0.04x + 6.6 mL - 0.15x = 5.28 mL

1.32 mL = 0.19x

x ≈ 6.95 mL

==>   y ≈ 37.05 mL

f(x) = −16x2 + 24x + 16
what is the vertex

Answers

Answer:

VERTEX: (0.75,25)    

Step-by-step explanation:

the vertex will be at [-b/2a, f(-b/2a)]

−16x2 + 24x + 16

4(-4x^2 + 6x +4)

a = -4, b=6,c=4

-6/-8 = 3/4

f(3/4) = 25

Use a calculator to find the mean of the data. {21.8, 23.3, 18.9, 22.9, 19.4, 23.7, 21.8, 22.8, 20.9, 21.1, 21.5, 22.9, 18.8, 22.6, 22.3, 20.8, 20.3, 19.1, 23.3, 18.8, 19.8, 24.2}

Answers

Answer:

The mean of the data is 21.41

Step-by-step explanation:

To find the mean of a data set you must...

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

The mean of the data set 21.8, 23.3, 18.9, 22.9, 19.4, 23.7, 21.8, 22.8, 20.9, 21.1, 21.5, 22.9, 18.8, 22.6, 22.3, 20.8, 20.3, 19.1, 23.3, 18.8, 19.8, 24.2 is 21.41 the asnwer is 21.41.

What is mean?

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

We have a data set:

{21.8, 23.3, 18.9, 22.9, 19.4, 23.7, 21.8, 22.8, 20.9, 21.1, 21.5, 22.9, 18.8, 22.6, 22.3, 20.8, 20.3, 19.1, 23.3, 18.8, 19.8, 24.2}

As we know from the definition of the mean:

The mean can be calculated using the formula:

Mean = sum of the data set/number of the data in the data set

Mean = 471/22

Mean = 21.409  ≈ 21.41

Thus, the mean of the data set 21.8, 23.3, 18.9, 22.9, 19.4, 23.7, 21.8, 22.8, 20.9, 21.1, 21.5, 22.9, 18.8, 22.6, 22.3, 20.8, 20.3, 19.1, 23.3, 18.8, 19.8, 24.2 is 21.41 the asnwer is 21.41.

Learn more about the mean here:

https://brainly.com/question/22871228

#SPJ5

A triangular patch of grass in a park is bordered by walking paths. The longest path bordering the patch of grass measures 110 feet. The smallest path bordering the patch of grass measures 55 feet. The smallest angle formed by the paths bordering the patch of grass measures 29º.
What is the measure of the largest angle of the triangular patch of grass? Round your answer to the nearest
degree. Show all your work.

Answers

Answer:

76 degrees

Step-by-step explanation:

First, we can draw a picture. Two of the sides are 110 feet and 55 feet. In a triangle, the smallest angle is opposite the smallest side and vice versa. Therefore, if I have my triangle arranged in the way shown, the smallest angle of 29 degrees will be opposite of the smallest side of 55 feet.

The law of sines states that a/sinA=b/sinB=c/sinC , with corresponding angles being opposite of its corresponding side. Therefore, we can say that

55 feet/ sin(29 degrees) = 110 / sin(largest angle).

If we say that the largest angle is equal to x, we can say

55 / sin(29°) = 110/sin(x)

multiply both sides by x to remove a denominator

55 * sin(x)/ sin(29°) = 110

multiply both sides by sin(29°) to remove the other denominator

55 * sin(x) = 110 * sin(29°)

divide both sides by 55 to isolate the sin(x)

sin(x) = 110 * sin(29°) / 55

For an angle, if sin(x) = y, we can say that arcsin(y) = x. Therefore, we can say

x = arcsin(110 * sin(29°)/55)

x ≈ 76 degrees

Pleasant help me out explanation need it

Answers

Answer:

for which question???????????????

Answer:

Ok please tell me your question because you forgotten the question your asking dor

A population has a mean of 300 and a standard deviation of 18. A sample of 144 observations will be taken. The probability that the sample mean will be between 297 to 303 is:_______
a. 0.9545.
b. 0.9332.
c. 0.0668.
d. 0.4332.

Answers

Answer:

0.9545

Step-by-step explanation:

Given that :

Mean = 300

Standard deviation, σ = 18

Sample size, n = 144

Zscore = (x - mean) ÷ σ/√n

At score, x = 297

Zscore = (297 - 300) / (18/12) = - 2

P(Z< - 2) = 0.02275

At score, x = 303

Zscore = (303 - 300) / (18/12) = 2

P(Z< 2) = 0.97725

P(Z < 2) - P(Z < - 2) = 0.97725 - 0.02275 = 0.9545

The probability that the sample mean will be between 297 to 303 is 0.9545.

We have given that ,A population has a mean of 300 and a standard deviation of 18. A sample of 144 observations will be taken.

Mean = 300

Standard deviation, σ = 18

Sample size, n = 144

We have to find the probability that the sample mean will be between 297 to 303

Therefore we use the formula of Z score.

What is the formula of  Z score?

[tex]Zscore = \frac{ (x - mean)}{\sigma/\sqrt n}[/tex]

At the score, x = 297

Zscore = (297 - 300) / (18/12) = - 2

P(Z< - 2) = 0.02275

At score, x = 303

Zscore = (303 - 300) / (18/12) = 2

P(Z< 2) = 0.97725

Therefore we get,

P(Z < 2) - P(Z < - 2) = 0.97725 - 0.02275 = 0.9545

Therefore,the probability that the sample mean will be between 297 to 303 is 0.9545.

To learn more about the probability visit:

https://brainly.com/question/25870256

Please Help!! much appreciated! :D

Find the value of y.

Answers

In the largest triangle, the missing side has length

√((11 + 5)² - x ²) = √(256 - x ²)

But it's also the hypotenuse of the triangle with side lengths 11 and y, so that its length can also be written as

√(11² + y ²) = √(121 + y ²)

so that

√(256 - x ²) = √(121 + y ²)

or, by taking the squares of both sides,

256 - x ² = 121 + y ²

y ² = 135 - x ²

In the smallest triangle, you have

5² + y ² = x ²   ==>   x ² = 25 + y ²

Substitute this into the previous equation and solve for y :

y ² = 135 - (25 + y ²)

y ² = 110 - y ²

2y ² = 110

y ² = 55

y = √55

Critical Thinking: Empirical/Quantitative Skills
United flight 15 from New York's JFK to San Francisco uses a Boeing 757-200 with 180 seats. Because some
people with tickets don't show up. United will overbook by selling more than 180 tickets. If the flight is not
overbooked, the airline will lose revenue due to empty seats, but if too many tickets are sold and some
passengers are denied seats, the airline loses money from the compensation that must be given to bumped
passengers. Assume that there is a 0.905 probability that a passenger with a ticket will show up for the
flight. Also assume that the airline sells 200 tickets for the 180 seats that are available.
1. When 200 tickets are sold, calculate the probability that exactly 180 passengers show up for the flight.
Show your calculation (i.e. what you put in the calculator) and round to 4 decimals.
2. When 200 tickets are sold, calculate the probability that at most 180 passengers show up for the flight.
Show your calculation (ie. what you put in the calculator) and round to 4 decimals.
3. When 200 tickets are sold, calculate the probability that more than 180 passengers show up for the flight.
Show your calculation (i.e. what you put in the calculator) and round to 4 decimals.

Answers

Answer:

1. 0.0910 = 9.10% probability that exactly 180 passengers show up for the flight.

2. 0.4522 = 45.22% probability that at most 180 passengers show up for the flight.

3. 0.5478 = 54.78% probability that more than 180 passengers show up for the flight.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Assume that there is a 0.905 probability that a passenger with a ticket will show up for the  flight.

This means that [tex]p = 0.905[/tex]

Also assume that the airline sells 200 tickets

This means that [tex]n = 200[/tex]

Question 1:

Exactly, so we can use the P(X = x) formula, to find P(X = 180).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 180) = C_{200,180}.(0.905)^{180}.(0.095)^{20} = 0.0910[/tex]

0.0910 = 9.10% probability that exactly 180 passengers show up for the flight.

2. When 200 tickets are sold, calculate the probability that at most 180 passengers show up for the flight.

Now we have to use the approximation.

Mean and standard deviation:

[tex]\mu = E(X) = np = 200*0.905 = 181[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.905*0.095} = 4.15[/tex]

Using continuity correction, this is [tex]P(X \leq 180 + 0.5) = P(X \leq 180.5)[/tex], which is the p-value of Z when X = 180.5. Thus

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{180.5 - 181}{4.15}[/tex]

[tex]Z = -0.12[/tex]

[tex]Z = -0.12[/tex] has a p-value of 0.4522.

0.4522 = 45.22% probability that at most 180 passengers show up for the flight.

3. When 200 tickets are sold, calculate the probability that more than 180 passengers show up for the flight.

Complementary event with at most 180 passengers showing up, which means that the sum of these probabilities is 1. So

[tex]p + 0.4522 = 1[/tex]

[tex]p = 1 - 0.4522 = 0.5478[/tex]

0.5478 = 54.78% probability that more than 180 passengers show up for the flight.

The circumference of a
square orchard is 1600
meters. How many square
meters does the orchard
cover? How many hectares

Answers

9514 1404 393

Answer:

160,000 m²16 ha

Step-by-step explanation:

The side length of a square is 1/4 of the perimeter, so the side length of the square orchard is (1600 m)/4 = 400 m.

The area of a square is the square of the side length, so the area of the orchard is (400 m)² = 160,000 m².

A hectare is 10,000 m², so the area of the orchard in hectares is ...

  16·(10,000 m²) = 16 ha

7
10 points
A6-sided die is rolled. Find P(3 or 5).
O 1
1
36
2
2
1
3
3
6

Answers

Answer:

I think the answer is 1/3

Step-by-step explanation:

1/6+1/6

=2/6=1/3

Answer:

1/3

Step-by-step explanation:

The possible outcomes are 1,2,3,4,5,6

The good outcomes are 3 and 5 = 2 good outcomes

P(3 or 5) = number of good outcomes / total outcomes

              = 2/6 = 1/3

A boy's mother was 32 years old when he was born. Let a represent the boy's age and m represent the mother's age.

Complete the table using the relationship between a and m.

PLEASE ANSWER!!!!

Answers

see the picture attached

Using a straightedge and compass, the ancient Greeks were able to construct
many geometric objects.
A. True
B. False

Answers

Answer:

A. True

Step-by-step explanation:

Which shows the numbers Nine-tenths, 0.3, 0.8, Five-tenths, and Two-tenths in order from least to greatest?

Answers

Answer:

[tex]\frac{2}{10}, 0.3, \frac{5}{10},0.8,\frac{9}{10}[/tex]

Step-by-step explanation:

Given

[tex]\frac{9}{10}, 0.3, 0.8,\frac{5}{10}, \frac{2}{10}[/tex]

Required

Order from the least

We have:

[tex]\frac{9}{10}, 0.3, 0.8,\frac{5}{10}, \frac{2}{10}[/tex]

Express all as decimal

[tex]0.9, 0.3, 0.8,0.50, 0.20[/tex]

Rearrange from least

[tex]0.20, 0.3, 0.50,0.8,0.9[/tex]

Express converted numbers as fractions

[tex]\frac{2}{10}, 0.3, \frac{5}{10},0.8,\frac{9}{10}[/tex]

Can I get help with this? Easy points!

Answers

9514 1404 393

Answer:

maximum: 0minimum: -16

Step-by-step explanation:

A graphing calculator can quickly show you the boundaries of the feasible region, and can calculate the values of the objective function.

Mr. Johnson took up an appointment with Nestle Ghana as an accountant with an annual salary of $164 million. as part of his appointment, he was promised a yearly increment of $24 million. Mr Johnson got promoted to chief accountant after six years of work with an annual salary of $300 million and yearly increment of$36 million.
calculate a) Mr. Johnson's salary in the tenth year of service.
b). Mr. Johnson's total earnings at the end of the tenth year of service.

Answers

Good luck you’re going to need it

Answer:

300 million(1+ 36 million) y

Step-by-step explanation:

Q25 A train travelling at a speed of 30km/h crosses a bridge 25m long in 12 sec. How long will it take to overtake a another train 25m long travelling at 20km/hr? ​option given 1. 72 sec 2. 74 sec 3. ,75 sec or data insufficient.

Answers

Answer:

WHAT

Step-by-step explanation:

5 times a number less than 50 is 250 what is the number​

Answers

Answer:

x = -40

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

50 - 5x = 250

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 50 on both sides:                      -5x = 200[Division property of Equality] Divide -5 on both sides:                                x = -40
Other Questions
The difference between the amount received from issuing a note payable and the amount repaid at maturity is referred to as: Use trigonometric identities to solve each equation within the given domain.sec(x) cos(3x) = 0 from [ /2 , /2] PLEASE SHOW WORK!!!! which best explain why the sun maintains its size and shape What is the theme The poem The Road Not Taken by Robert Frost Jobs in an organization are:_______ a) same as organizational positions. b) interdependent. c) same as work. d) independent. entrepreneurship is a prerequisite plz answer (g) i will give rating 5 and thanks who answer plz fast Pronuncia Inglatera en gentilicio How was the Vietnam War different from the Korean War? Allison bought a bond when it was issued by ABC Corporation 20 years ago. The bond, which has a $1,000 face value and a coupon rate equal to 10 percent, matures in eight years. Interest is paid every six months; the next interest payment is scheduled for six months from today. If the yield on similar risk investments is 8 percent, what should be the current market value (price) of the bond What value from the set {6, 7, 8, 9, 10} makes the equation 5x + 2 = 47 true? Show your work. (5 points) what is another name for this polynomial?PLS HELP ASAPAPEX The risks associated with ethics auditing include all of the following, except for: Question 11 options: Potential cover-ups prevent accuracy Revealing a problem that might not be able to be remedied The lack of a guarantee that there is a solution Problems that the company would like to keep quiet might be made public find : (f/g)(x) pls help what is the value of i^n if the remainder of n/4 is 3? the process of the natural environment you already know how will you describe a new job in 1000 words help me please to solve this 2 questions pleasee faster.. i will mark you as brainliest Which of the following is NOT a good tip for creative writing?A. Use figurative language and sensory descriptionsB. Make sure you use vocabulary that fits your tone.C. Check your writing for spelling, grammar, and punctuation errors.D. Use a constant, non-changing sentence structure. A tyre manufacturer wants to set a minimum mileage guarantee on its new MX100 tyre. Tests reveal the mean mileage is 47,900 with a standard deviation of 2,050 miles and the distribution is a normal distribution. The manufacturer wants to set the minimum guaranteed mileage so that no more than 4% of the tyres will have to be replaced. What minimum guaranteed mileage should the manufacturer announce