A company estimates that 0.8% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $50.

If they offer a 2-year extended warranty for $7, what is the company's expected value of each warranty sold? Round your answer to the nearest cent.

Answers

Answer 1

Answer:

The expected value of each warranty sold is $23.8.


Related Questions

3.
Troy planned to make enough ice cream for 15 servings but only made 13
servings. What is the percent error in this situation?

Answers

Answer:

Approximately 13%

Step-by-step explanation:

Troy meant to make 15, but only made 13, meaning that he was off by 2. To find the percent error here, we will divide how off Troy was by the amount Troy meant to make:

2/15=0.133333333, or approximately 13% (multiply the decimal by 100 to find the percent, then round to the nearest integer.)

you pick a card at random. 2 3 4 What is P(odd)? Write your answer as a fraction or whole number.

Answers

The answer in a fraction or whole number. is P(odd) = 1/3.

What exactly is the fractions rule?

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken.  

The number below the line is called the denominator.  It shows the total number of equal parts the whole is divided into or the total number of the same objects in a collection

According to the fundamental principle of fractions, a fraction retains its value whenever its numerator or denominator were multiplied by a single non-zero number. It can be used to multiply or divide two fractions.

Only 3 is odd among the integers 2, 3, and 4. As a result, there is a 1/3 chance of selecting an odd number (1 out of 3).

P(odd) is equal to 1/3 as a result.

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Five dozen eggs cost R60 [r/dozen]

Answers

When Five dozen eggs cost R60 [r/dozen], the value of R is 3600.

What is dozen?

The term "dozen" or "dz" refers to a group of twelve.

Because there are roughly 12 lunar cycles (or months) in each solar cycle (or year), the number 12 may be one of the earliest primitive integer groupings. Twelve is useful because it has the most divisors among numbers up to its double, a characteristic that is only true of the numbers 1, 2, 6, 12, 60, 360, and 2520.

The duodecimal system, also known as the dozenal, was developed in Mesopotamia and uses the number twelve as its base (see also sexagesimal). By counting each finger bone with one's thumb, one can quickly count in base-12 on their hands.

Given 5 dozen of egg costs = R/60

That is

5 × 12 = R/60

60 = R/60

R = 60 × 60

R = 3600

Thus, When Five dozen eggs cost R60 [r/dozen], the value of R is 3600.

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Complete question:

Five dozen eggs cost R60 [R/dozen]. Find the value of R.

What is the area of this rhombus?


Enter your answer in the box.

Answers

Answer:

area = 16

Step by step

- TRAIN The table shows the number of riders on the train each day for
two weeks. Compare and contrast the measures of variation for
both weeks.
Number of Riders on the Train
Week 1
Day
Monday
Tuesday
Wednesday
Thursday
Friday
72
84
78
67
86
se 1 Chapter 11 Statistical Measures
Week 2
79
86
75
49
137

Answers

Answer:

8

Step-by-step explanation:

Number of Riders on the Train

Week 1

Day

Monday

Tuesday

Wednesday

Thursd

11.6%=x*17.8%+ (1-X)* 8.4%

Answers

To solve for x in the equation:

11.6% = x × 17.8% + (1 - x) × 8.4%

We can first convert the percentages to decimal form:

11.6% = 0.116

17.8% = 0.178

8.4% = 0.084

Substituting these values into the equation, we get:

0.116 = x  0.178 + (1 - x) × 0.084

Next, we can simplify the equation by distributing the (1 - x) term:

0.116 = x × 0.178 + 0.084 - x × 0.084

Simplifying further by combining like terms, we get:

0.116 = 0.178x + 0.084 - 0.084x

0.116 = 0.094x + 0.084

Subtracting 0.084 from both sides of the equation, we get:

0.032 = 0.094x

Finally, dividing both sides of the equation by 0.094, we get:

x = 0.3404 or approximately 0.34

Therefore, x is approximately 0.34

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What percentage is equivalent to
12
/
30

Answers

Answer:

The answer you're looking for is 40%

Step-by-step explanation:

If you divide 12(numerator) by 30(denominator), you get 0.4.
After that, if you want to convert the decimal to a percent you always have to multiply by 100.

[tex]\frac{12}{30} =0.4=0.4 x 100=40%[/tex]

I hope this was helpful!

K
A golf ball is hit with an initial velocity of 140 feet per second at an inclination of 45° to the horizontal In physics, it is established that the height h of the golf ball is given by the function
- 32x²
h(x)=-
140²
where x is the horizontal distance that the golf ball has traveled Complete parts (a) through (g)
(a) Determine the height of the golf ball after it has traveled 100 feet
h= feet (Round to two decimal places as needed)

Answers

Answer:

6.25 seconds

Step-by-step explanation:

Using the the equation

h = 100t − 16t^2

The ball hits the ground, when h = 0, solving below equation:

100t − 16t^2 = 0

4t(25 - 4t) = 0

t = 0 seconds, this is the starting point when ball was hit

25 - 4t = 0 ⇒ 4t = 25 ⇒ t= 25/4 = 6.25 seconds later the ball hits the ground

Evaluate the expression 4xy-(x+7) if x=-2 and y=5

Answers

Given:-

[tex] \tt \: x = -2[/tex]

[tex] \: [/tex]

[tex] \tt \: y = 5[/tex]

[tex] \: [/tex]

Solution:-

[tex] \tt \: 4xy - ( x + 7 )[/tex]

now , put the given values of x = -2 nd y = 5 in equation :

[tex] \: [/tex]

[tex] \tt \: 4( -2 ) ( 5 ) - ( -2 + 7 )[/tex]

[tex] \: [/tex]

[tex] \tt \: -8( 5 ) - 5[/tex]

[tex] \: [/tex]

[tex] \tt \: -40 - 5[/tex]

[tex] \: [/tex]

[tex] \boxed{ \tt{ \orange{ \:-45 \: }}}[/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

Answer:-45

Step-by-step explanation:

first plug in the x and the y values

4(-2)(5)-(-2+7)

The start using pemdas to simplify

*or bodmas depends on what you learned

Then you should arrive to this

4(-2)(5)+ -(5)

-8(5)+ -5

-40-5= -45

Hope that helps

Use the Simple Interest formula to find the simple interest. (l=prt)

Answers

The Simple Interest is $112.5

What is Simple Interest?

Simple Interest is is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

In simple interest, the principal amount is always the same, unlike compound interest where we add the interest of previous years principal to calculate the interest of the next year.

Simple Interest = P * R * T/100

Where P = Principal = $2500

Rate = 1.5%

Time = 3 years

Simple Interest = 2500 * 1.5 * 3/100

Simple Interest = 11250/100

Simple Interest = $112.5

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What is CP means ? Can anyone help me

Answers

Answer:

Cost Price :

The cost price of an item is the sum paid to acquire it or the cost at which it was produced. The cost price is denoted by the letter C.P. 

Step-by-step explanation:

we made money when we sold a product we used the formula are :

The Formula for Cost Price (CP) : Selling Price (SP) - Profit

we lose money while selling a product. we used formula are :

The Formula for Cost Price (CP) : Selling Price (SP) + Loss

The profit (gain) percentage and selling price are :

The Formula for Cost Price(CP) : {100/(100 + Profit %)} x SP.

The loss percentage and SP are :

The Formula for Cost Price(CP) : {100/(100 - Loss %)} x SP

Know more:

By comparing the profit to the selling price the CP is used to confirm the profit. This implies that there is a profit in the purchase if the original value, which is the C.P.is lower than the selling price.

Additionally the purchase will result in a loss if the C.P. is higher than the S.P. 

What is the area of 2 ft 2 ft and 6ft?

Answers

The Area would be 4ft because 2x2=4 its basic multiplication,

And I don't really understand why you also put 6ft but if you're saying 2ft x 6ft then that would be 12ft.

Hope that helps <3

If you multiply 2x2 the area will be 4ft

In a board game, Maliq gets x points for landing on a red space, 2x points for landing on a blue space, and 5x points for going all the way around the board.He lands on 21 red spaces,19 blue spaces, and goes around the board twice, for a total of 21x+19 x 2x + 2 x 5x points. Which expression also represents Maliq's total points?

Answer Choices

A. (21+19)2x + 10x

B. 42x

C. 69x

D. (21+ 19 +2)(x+ 2x+5x)

Answers

Therefore , the solution of the given problem of  expressions comes out to be option C. 69x is the right response.

What is an expression?

Calculations like multiplying, dividing, joining, and presently removing are required. If they were put together, it would say: An equation, some statistics, and a mathematical formula A statement of truth is composed of values, components, and mathematical processes like additions, subtractions, errors, subdivisions, and arithmetic formulas. Words and phrases can be evaluated and analysed.

Here,

The formula 21x + 19(2x) + 2(5x) can be made simpler as follows:

=> 21x + 38x + 10x = 69x

Maliq's total scores can therefore be written as 69x.

To determine which decision is equivalent to 69x, we can also look through the answer options.

A.

=> (21+19)2x + 10x = 40(2x) + 10x = 80x + 10x = 90x,

which is not equivalent to 69x..

B. 42x and 69x are not equal.

C. 69x is the same as 69x.

D. The sum of

=> (21+19+2)(x+2x+5x) = 42(8x) = 336x does not equal 69x.

Therefore, C. 69x is the right response.

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A survey of 292 SPC students was taken at registration. Of those surveyed:

73 students had signed up for a Math course
54 students had signed up for a Language Arts course
34 students had signed up for a Humanities course
17 students had signed up for both a Math and Language Arts course
9 students had signed up for both a Math and Humanities course
9 students had signed up for both a Language Arts and Humanities course
4 students had signed up for all three courses
How many students had not signed up for any of these three courses?

Answers

274 students had not signed up for any of the three courses.

What is the inclusion-exclusion tenet?

A counting method called the inclusion-exclusion principle is used to determine how many items there are in the union of two or more sets. The basic concept is to start by counting the components in each set, but we then need to adjust for any items that are in multiple sets. The number of elements in the intersection of any two sets must be subtracted in order to make this repair, and the items in the intersection of any three sets must be added back in. When it comes to combinatorics and probability theory counting difficulties, the inclusion-exclusion principle is a helpful tool.

The total number of students signed up for the course is:

73 + 54 + 34 = 161

This includes multiple courses together. To get the accurate number we subtract the number of students that signed up for 2 courses.

(17 + 9 + 9) + 4 = -22 + 4 = -18

The negative count means we have overcounted, so we need to subtract this number from the total number of surveyed students:

292 - 18 = 274

Hence, 274 students had not signed up for any of the three courses.

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In Mrs. stones class 18 out of 20 students turned in their homework on time. What percent of the class turned in their homework on time?

Answers

Answer: 90%

Step-by-step explanation:

18/2=9

20/2=10

9 out of 10 is 90%

Answer: 81.82%

Step-by-step explanation: A percentage is a number or ratio that can be expressed as a fraction of 100.

here, we have,

given that,

In Mrs. Stone's class, 18 out of 22 students turned in their homework on time.

now,

the  percent of the class turned their homework in on time is,

18/22 * 100

=81.82%

x
2
+7x=



x
Solving Quadratics by Factoring

Answers

The solutions to the quadratic equation [tex]X^2 + 7X = 0[/tex] are X = 0 and X = -7.

What is quadratic equation?

A quadratic equation is a polynomial equation of the second degree, which means it contains one or more terms that are raised to the power of two. The standard form of a quadratic equation is:

[tex]ax^2 + bx + c = 0[/tex]

where a, b, and c are constants, and x is the variable. The value of x that satisfies the equation is called the root or solution of the quadratic equation.

Quadratic equations can have one, two, or no real solutions, depending on the value of the discriminant [tex]b^2 - 4ac[/tex]. If the discriminant is positive, the equation has two real solutions; if it is zero, the equation has one real solution; and if it is negative, the equation has no real solutions but two complex solutions.

To solve the quadratic equation [tex]X^2 + 7X = 0[/tex] by factoring, we first write it in the standard form:

[tex]X^2 + 7X = 0[/tex]

Next, we factor out the common factor X:

X(X + 7) = 0

Now, we can apply the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. In this case, we have:

X = 0 or X + 7 = 0

Solving for X in each equation, we get:

X = 0 or X = -7

Therefore, the solutions to the quadratic equation X^2 + 7X = 0 are X = 0 and X = -7.

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Question:

[tex]X^2 + 7X = 0[/tex]

Solving Quadratics by Factoring

01
c. Is it possible to rearrange the locations of the
4 plates in the original figure so that (1) their
distance from the center of the table does not
change, (2) their centers remain somewhere on the
rectangle design, and (3) the resulting figure has a
rotational symmetry of order 4? If so, draw the
figure. If not, explain why.

Answers

Using the concept of rotational symmetry, the angle of rotation about the center that results in an image that matches the original figure is; Option A:  90

What is rotational symmetry?

Rotational symmetry is defined as a process that requires the rotation of a given object about a reference point to produce its image which has the same characteristics. This tells us that its dimensions, measure of internal angles and size do not change except its orientation. The orientation depicts the way in which the object is positioned.

here, we have,

The sum of an angle formed at a point is 360 degrees.

Thus turning a given object about a point implies its rotation with respect to a measured  angle.

Thus in the diagram given in the question, the pattern shown divides the angle at the centered point into four equal parts.

Thus;

Angle of rotation = 360/4 = 90 degrees

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Lauren has $900 in a savings account that earns 10% interest per year.The interest is not compounded. How much will she have in total in 1 year?

Answers

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$900\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=years\dotfill &1 \end{cases} \\\\\\ A = 900[1+(0.10)(1)] \implies A = 990[/tex]

A road-building company plans to construct a bridge across a pond to connect Main Street and Second Street, as shown in the diagram below. How long will this bridge need to be? Show your work.

Answers

The bridge needs to be 1.6 miles long. The solution has been obtained by using Pythagoras theorem.

What is Pythagoras theorem?

According to the Pythagorean Theorem, the square of a right-angled triangle's hypotenuse side is equal to the sum of the squares of its other two sides.

We are given a right angled triangle with base 3 miles and the hypotenuse 3.4 miles.

The perpendicular is given to be 'x'.

Using Pythagoras theorem, we know that

⇒Hypotenuse² = Perpendicular² + Base²

⇒(3.4)² = x² + 3²

⇒11.56 = x² + 9

⇒x² = 2.56

x = 1.6 miles

Hence, the bridge needs to be 1.6 miles long.

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The record for the most amount of rain in the shortest period of time in the united states was 12 inches in 42 minutes. How much rain fell in 15 minutes?

SHOW YOUR WORK AND HOW YOU GOT THE ANSWER!!!!

Answers

We can say that approximately 4.29 inches of rain fell in 15 minutes.

We can apply a proportion to determine the amount of rain that fell in 15 minutes.

We can calculate the proportion because we know that 12 inches of rain fell in 42 minutes:

x inches in 15 minutes equals 12 inches in 42 minutes.

where x is how much rain fell in 15 minutes.

We can cross-multiply and simplify to find x's value:

42 minutes equals 12 inches times 15 minutes (x inches)

180 = 42x

x = 180 / 42

x = 4.2857...

We may estimate that 4.29 inches of rain, rounded to the nearest hundredth, fell in 15 minutes.

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Find the area of the shaded segment of the circle radius=18cm 60 degrees

Answers

Answer:

To find the area of the shaded segment of the circle, we need to first find the area of the sector formed by the 60 degrees angle, and then subtract the area of the triangle formed by the radii and the chord.

The formula for the area of a sector of a circle is:

A_sector = (θ/360) x πr^2

where θ is the central angle in degrees, and r is the radius.

Substituting the given values, we get:

A_sector = (60/360) x π x 18^2

A_sector = 113.04 cm^2

Next, we need to find the area of the triangle formed by the radii and the chord. To do this, we need to first find the length of the chord using the formula:

c = 2r sin(θ/2)

where θ is the central angle in radians.

Converting the given 60 degrees angle to radians, we get:

θ = 60 x (π/180) = π/3 radians

Substituting the values, we get:

c = 2 x 18 x sin(π/6)

c = 18√3 cm

Now, we can find the area of the triangle using the formula:

A_triangle = (1/2) x base x height

where the base is the chord length c, and the height is half the length of the chord, which is:

h = r - r cos(θ/2)

Substituting the values, we get:

h = 18 - 18 cos(π/6)

h = 18 - 9√3 cm

Therefore, the area of the triangle is:

A_triangle = (1/2) x 18√3 x (18 - 9√3)

A_triangle = 243 cm^2

Finally, the area of the shaded segment is the difference between the area of the sector and the area of the triangle:

A_shaded = A_sector - A_triangle

A_shaded = 113.04 - 243

A_shaded = -129.96

However, the result is negative because the triangle is larger than the sector in this case. Therefore, there is no shaded area in this situation.

Step-by-step explanation:

Fluorescent lighbulbs have lifetimes that are normally distributed with a mean of 5.2 years and a standard deviation of 1 years.
The figure below shows the distribution of lifetimes of fluorescent lightbulbs.
Calculate the probability that a randomly chosen Fluorescent lighbulb lifetime will be between 3.2 and 6.2.

Answers

Answer:

Step-by-step explanation:

To solve this problem, we need to standardize the values using z-scores and then find the area under the standard normal distribution curve between those z-scores.

First, we need to find the z-scores for the values 3.2 and 6.2 using the formula:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

For x = 3.2:

z = (3.2 - 5.2) / 1 = -2

For x = 6.2:

z = (6.2 - 5.2) / 1 = 1

Next, we use a standard normal distribution table or calculator to find the area under the curve between these two z-scores. The area represents the probability of a randomly chosen Fluorescent lighbulb lifetime being between 3.2 and 6.2.

Using a standard normal distribution table, we can find that the area between z = -2 and z = 1 is approximately 0.8186.

Therefore, the probability that a randomly chosen Fluorescent lighbulb lifetime will be between 3.2 and 6.2 is approximately 0.8186 or 81.86%.

How can you determine how many solutions a quadratic function has?
Determining how many x-intercepts the graph has
O Determining how many y-intercepts the graph has
Looking to see if the function opens downward
Looking to see if the function opens upward

Answers

Answer:

Where is the picture???

Step-by-step explanation:

Can you pls solve? Thanks

Answers

Answer:

[tex](r \;\circ\;q)(4) = \boxed{5}\\\\(q \;\circ\;r)(4) = \boxed{13}\\[/tex]

Step-by-step explanation:

We have the following functions

[tex]q(x) = x^2+4\\\\and\\\\r(x) = \sqrt{x+5}\\\\[/tex]

1. To find
[tex](r \;\circ \;q)(4) = r(\;q(4)\;)[/tex]

First find
[tex]q(4) = 4^2 + 4 = 16 + 4 = 20[/tex]

Substitute this value for x in r(x)

[tex]r(20) = \sqrt{20 + 5} = \sqrt{25} = 5[/tex]

So
[tex]\bold{(r \;\circ \;q)(4) = 5}[/tex]

2. To find
[tex](q \;\circ\;r)(4) = q(\;r(4)\;)[/tex]

First find
[tex]r(4) = \sqrt{4 + 5} = \sqrt{9} = 3\\\\[/tex]

Substitute this value for x in q(x)

[tex]q(3) = 3^2 + 4 = 9 + 4 = 13\\\\\bold{(q \;\circ\;r)(4) = 13}[/tex]

The compositions of functions are:

(r o q)(4) = 5(q o r)(4) = 13How to find the compositions of the functions?

Here we have the two functions:

q(x) = x² + 4

r(x)=  √(x + 5)

We want to find the two compositions:

(r o q)(4) = r(q(4))

First let's find:

q(4) = 4² + 4 = 16 + 4 = 20

Then:

r(q(4)) = r(20) =  √(20 + 5) = 5

And the other composition is:

(q o r)(4) = q(r(4))

First, r(4) = √(4 + 5) = 3

Then:

q(r(4)) = q(3) = 3² + 4 = 9 + 4 = 13

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The principal P is borrowed at a simple interest rate r for a period of time t. Find the​ loan's future value​ A, or the total amount due at time t.
P=​$8000​, r=7.0​%, t=3 months

Answers

In response to the aforementioned query, we may say that The future interest value of the loan, or the total amount due after three months, is $8140.

what is interest ?

By dividing the principal by the interest rate, the passage of time, and other factors, simple interest is determined. Simple return equals principle plus interest plus hours is the formula used in marketing. The easiest way to compute interest is by using this method. The most typical method for calculating interest is as a portion of the principle amount. For example, if he borrows $100 from a buddy and agrees to pay back the loan at 5% interest, he will only pay his share of the 100% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and you must charge interest when you lend it. Typically, interest is determined as an annual percentage of the loan total. The loan's interest is the name given to this percentage.

The following formula can be used to determine a loan's future value A:

[tex]A = P + Prt[/tex]

When P is the principal borrowed, r denotes the interest rate in decimal form, and t denotes the length of time in years.

P equals $8,000, r equals 0.07 (because the interest rate is specified as 7%), and t equals 3/12 to 0.25 years in this example (since the time period is given in months and we need to convert it to years).

With these values entered into the formula, we obtain:

[tex]A = $8000 + $80000.070.25\\A = $8000 + $140 \sA = $8140[/tex]

The future value of the loan, or the total amount due after three months, is $8140.

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Find the value of x. If necessary, round your answer to the nearest tenth ​

Answers

The value of x in the chord is 2.8 units

How to determine the value of x

From the question, we have the following parameters that can be used in our computation:

The circle and the chords

Represent the radius of the circle with r

Next, we calculate the radius using each chord using the Pythagoras theorem

Using the above as a guide, we have the following:

r² = x² + (38/2)²

r² = 12² + (30/2)²

By substitution, we have

x² + (38/2)² = 12² + (30/2)²

So, we have

x² = -(38/2)² + 12² + (30/2)²

Evaluate

x² = 8

Take the square root of both sides

x = 2.8

Hence, the value of x is 2.8 units

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Alam Tegar Bhd has issued bonds with a par value of RM1,000 and a maturity period of three years. The yearly coupon rate offered is 10%. Rating Agency Malaysia Berhad (RAM) has given a rating of AAA to the bonds of Alam Tegar Bhd. If the bonds were sold at the price of RM980, what is the yield to maturity (YTM) of the said bond?

Answers

The yield to maturity (YTM) of the bonds is 10.77%.

How to calculate the yield to maturity (YTM) of a bond?

To calculate the yield to maturity (YTM), we need to use the following formula:

YTM = [(Annual Interest Payment + (Par Value - Market Price) / Years to Maturity) / (Par Value + Market Price) / 2] x 100%

Where:

Annual Interest Payment = Coupon rate x Par value

Par value = RM1,000

Market Price = RM980

Years to Maturity = 3

Coupon rate = 10%

First, let's calculate the annual interest payment:

Annual Interest Payment = Coupon rate x Par value = 10% x RM1,000 = RM100

Next, we can substitute the given values in the formula:

YTM = [(100 + (1,000 - 980) / 3) / (1,000 + 980) / 2] x 100%

YTM = 10.77%

Therefore, the yield to maturity (YTM) of the bonds is 10.77%.

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PLEASEEE HELP URGENT

Answers

The scale factor between the original and resulting points is equal to 4 / 3.

How to derive the scale factor

In this problem we find a representation of a quadrilateral and its image depicted in Cartesian plane. According to the statement, the coordinates of the original and resulting points are, respectively:

B(x, y) = (- 3, 6), B'(x, y) = (- 4, 8)

Then, the scale factor can be found by means of the following formula:

B'(x, y) = k · B(x, y)

(- 4, 8) = (- 3 · k, 6 · k)

k = 4 / 3

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In the given equation, b is a positive constant.
The sum of the solutions of the equation is 5.
What is the value of b?
x²(x+3)(x - b) = 0

Answers

Answer:

0

Step-by-step explanation:

X^2(x+3)(x-b)=0x2 = 0x =√0x= 0

(hope this helps you <:)

place the four problem-solving steps in order

Answers

Since the sum of a triangle's internal angles is always 180 degrees, x has a value of 40 degrees.

what is triangle ?

The polygonal shape of a triangle has three edges and three angles. It is one of the most fundamental and significant geometric shapes and is utilised in a wide range of mathematical, scientific, and engineering fields. The edges and angles of a triangle can be used to classify it in various ways. Triangles can be categorised in one way by their sides: Three equal sides make up an equilateral triangle. Two of the edges of an isosceles triangle are equal. Three of the edges of a scalene triangle are unequal.

given

The property of angles in a triangle, which says that the sum of a triangle's interior angles is always 180 degrees, can be used to determine the value of x in the given figure.

Triangle ABC consists of:

∠A + ∠B + ∠C = 180

Since we know that A = 50 degrees and B = 90 degrees, we can use these numbers as a substitute:

50 + 90 + ∠C = 180

When we simplify the solution, we obtain:

140 + ∠C = 180

140 from both sides is subtracted, giving us:

∠C = 40

Since the sum of a triangle's internal angles is always 180 degrees, x has a value of 40 degrees.

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