please help
Solve for n. 5 + 2n = 7​

The coupon rate of the bonds by King of Diamonds Industries would be 7 %.

The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:

= (Coupon payment  x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value /  (1  + rate )^ number of years

1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14

103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x  (1 - ( 1 + 0.07) ^ ( - 14) )

Using a calculator, C is $ 70.

This means that the coupon rate is:

= 70 / 1, 000

= 7 %

Find out more on the coupon rate at https://brainly.com/question/28528712

#SPJ1

Answer:

Step-by-step explanation:

2^0 is less than or equal to 1!, because 1<= 1

if 2^n <= (n+1)!, we wish to show that 2^(n+1) <= (n+2)!, since

(n+2)! = (n+1)! * (n+2), and (n+1)!>= 2^n, then we want to prove that n+2<=2, which is always true for n>=0

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

Answer:

(x-5)^2 + (y+6)^2 = 4

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x-5)^2 + (y- -6)^2 = 2^2

(x-5)^2 + (y+6)^2 = 4

The domain of the quadratic function in this problem is given as follows:

All real values.

The domain of a function is the set of all the possible input values that can be assumed by the function.

On the graph, the domain of the function is given by the values of x of the function.

A quadratic function has no restrictions on the domain, hence it is defined by all the real values.

More can be learned about the domain of a function at https://brainly.com/question/10687170

#SPJ1

The question that is a statistical question is "How many miles did your family drive last week?"

A statistical question is a question that requires collecting and analyzing data to answer.

It involves investigating a specific variable or variables and determining patterns, trends, or relationships within the data.

The question "How many miles did your family drive last week?" is statistical, as it involves collecting and analyzing data related to a specific variable (miles driven) over a certain period of time (last week).

Read more about statistical question at

https://brainly.com/question/22334957

#SPJ1

D)

Table D is the only table of the four that represents a graph in which, when x increases, y increases at a constant rate, like a linear graph should. This means that, when graphed, it would show a straight line, with slope 0.5

Answer:

\(29.4\ cm^3\)

Step-by-step explanation:

b = 4 × 3.5 = 14 cm²

h = 2,1 cm

then

\(V=b\times h\)

   \(=14\times2.1\)

   \(=29.4\ cm^3\)

Step-by-step explanation:

The length of the rectangle is 4cm and the width is 3.5cm

The area of the rectangle is A = lw

The base area is 4 x 3.5 or 14cm squared

The height is 2.1cm

Substitute 14 for B and 2.1 for h

V = Bh

V = (14)(2.1)

=29.4

Therefore the volume of the prism is 29.4 cubic centimetres

Answer:

The minimum score required for the job offer is 751.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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.

In this question, we have that:

\(\mu = 587, \sigma = 152\)

What is the minimum score required for the job offer?

Top 14%, so the minimum score is the 100-14 = 86th percentile, which is X when Z has a pvalue of 0.86. So X when Z = 1.08.

Then

\(Z = \frac{X - \mu}{\sigma}\)

\(1.08 = \frac{X - 587}{152}\)

\(X - 587 = 1.08*152\)

\(X = 751.16\)

Rounding to the nearest whole number:

The minimum score required for the job offer is 751.

The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

Learn more about the tangent line:

https://brainly.com/question/30162650

#SPJ1

Answer:

\(y' = (6,4)\)

Step-by-step explanation:

Given

\(y = (3,2)\)

\(x = (4,0)\)

\(z = (2,-2)\)

\(D_{(O,2)}\)

Required

The image of y

\(D_{(O,2)}\) implies that y is dilated by a scale factor of 2 across the origin.

So, the image of y is:

\(y' = 2 * y\)

\(y' = 2 * (3,2)\)

\(y' = (6,4)\)

Answer:

I think the answer is 98?

Step-by-step explanation:

I added 225+45+25 and got 295. Next, I divided 295 by 3 and got 98. (sorry if I'm wrong.)

Three postal workers can sort a stack of mail in 25 ​minutes, 45 ​minutes, and 225 ​minutes, respectively. Time taken if all the three work together is 15min

What is Time?

Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future. The duration of events or the gaps between them can be measured, compared, or even ordered using time.

The first worker can sort the stack in 25 minutes. So every minute that goes by,

he does 1/25 of the job.

The second employee completes 1/45 of the stack per minute,

While the third employee completes 1/225 of the task.

Minutes are represented by x, and I've set them all to 1 to indicate that a single stack was sorted.

x·1/25 + x·1/45 + x·1/225 = 1

To eliminate all fractions from the calculation, multiply each term by 225.

225x/25 + 225x/45 + 225x/225 = 225

9x + 5x + 1x = 225

15x = 225

x = 225 / 15

x = 15

Hence, It will take 15min to sort the mail if all three work together

To learn more about Time click on the link

https://brainly.com/question/2854969

#SPJ2

The sample space of the experiment is {Yes 18-34, No 18-34, Not sure 18-34, Yes 35-49, No 35-49, Not sure 35-49, Yes 50 and older, No 50 and older, Not sure 50 and older}

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

Event 1: Yes, No, Not sure

Event 2: 18-34, 35-49, 50 and older

To determine the sample space of the experiment, we simply take one of the entries in event 1 and combine it with one of the entries in event 2

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

Sample space = Yes 18-34, No 18-34, Not sure 18-34, Yes 35-49, No 35-49, Not sure 35-49, Yes 50 and older, No 50 and older, Not sure 50 and older

The above represents the sample space

Read more about probability at

https://brainly.com/question/251701

#SPJ1

Complete question

A probability experiment consists of recording a response to the survey statement on the right and the age (18-34, 35-49, 50 and older) of the respondent.

Yes, No, Not sure

Determine the sample space

The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

Read more about probability,

https://brainly.com/question/30390037

The critical value is 13.28 when the distribution of final marks in the statistics department.

Given that,

According to a teacher, the distribution of final marks in the statistics department is: A, 25%; B, 25%; C, 40%; D, 5%; and F, 5%. The following number of grades were recorded at the conclusion of a randomly chosen semester.

We have to recognize the important value.

We know that,

Given a=0.01,

The critical value of chi-square with 0.99,

df=n-1=4  is

13.28 (From chi-square table)

Therefore, The critical value is 13.28 when the distribution of final marks in the statistics department.

To learn more about distribution visit: https://brainly.com/question/29062095

#SPJ4

Answer:

where are the other statements

Step-by-step explanation:

Step-by-step explanation:

scatter plot s are similar to line graphs in that they start with mapping quantitive data points. The difference is that with a scatter plot, the decision is made the the individual points should not be connected directly together with a line but, instead express a trend

Answer: I believe the answer here is 210.

Step-by-step explanation: 210 is the first number that can be divided by 2, 5, 6, 7, and 14 and the quotient is still a natural whole number.

The probability that a person has the virus given that they have tested positive find the P(A/B)=0.0045

We can use Bayes' theorem to find the probability that a person has the virus given that they have tested positive:

P(A | B) = P(B | A) * P(A) / P(B)

where P(B | A) is the probability of testing positive given that the person has the virus, P(A) is the prior probability of a person having the virus (1/300), and P(B) is the total probability of testing positive.

To find P(B), we can use the law of total probability, which states that:

P(B) = P(B | A) * P(A) + P(B | not A) * P(not A)

where P(B | not A) is the probability of testing positive given that the person does not have the virus. This is the false positive rate, which is 5% or 0.05 in this case. P(not A) is the complement of P(A), which is 299/300.

Substituting the values, we get:

P(B) = 0.85 * 1/300 + 0.05 * 299/300

= 0.059

Now we can plug in the values into Bayes' theorem:

P(A | B) = 0.85 * 1/300 / 0.059

= 0.0045 or 0.45%

Therefore, the probability that a person has the virus given that they have tested positive is 0.45% or 0.0045 (rounded to the nearest tenth of a percent).

To learn more about probability here:

https://brainly.com/question/30034780

#SPJ1

Answer:

12 ft

Step-by-step explanation:

we know the areas of the 2 top squares.

the area of a square is simply the square of its side length.

=>

81 ft² means side length is 9 ft.

225 ft² means side length is 15 ft.

these are also 2 of the sides of the right triangle.

the third side we get by using Pythagoras :

c² = a² + b²

with c being the side opposite of the 90 degree angle.

so,

225 = 81 + x²

as x is also the third side of the triangle.

=> 144 = x²

x = 12 ft

Answer:

A. 125 because 35+90=125

Step-by-step explanation:

Hi!

The coefficient of x is known as the slope, and that can be represented as rise/run, and in this example is it 1/4, therefore your rise is 1.

Hope this helps! :D

Answer:

Step-by-step explanation:

We know that:

Let's compare the slope and its formula.

Work:

Hence, the rise of the slope is 1.

Hoped this helped.

\(BrainiacUser1357\)

Answer: 30

Step-by-step explanation:

If s is 2, the new equation would be 15x2, which is 30.

Answer:

30

Step-by-step explanation:

\(15 \times 2 = 30\)

I think this is the answer

The measure of BX in the triangle is 5.97.

Option B is the correct answer.

We have,

Using Pythagorean theorem in ΔABX.

AB² = AX² + BX²  _________(1)

Now,

AB = 6.4

AX = 2.3

Substituting in (1).

6.4² = 2.3² + BX²

BX² = 6.4² - 2.3²

BX² = 40.96 - 5.29

BX² = 35.67

BX = √35.67

BX = 5.97

Thus,

The measure of BX is 5.97.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ1

163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units

164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.

165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.

166. Missing side = 29 ft.

The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.

163. The distance between A(-5, 6) and B(5, -5):

AB = √[(5−(−5))² + (−5−6)²]

AB = √221

AB ≈ 14.9 units

164. Apply the Pythagorean theorem to find the diagonal:

Diagonal = √(15² + 15²) ≈ 21.2 ft.

165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:

c = √676 = 26 units.

166. Missing side = √(20² + 21²) = 29 ft.

Learn more about the Pythagorean theorem  on:

https://brainly.com/question/27997683

#SPJ1

Answer:

The closest should be 6 aka the first option

Answer:  Therefore, at the start of the game, Peter had 80 marbles and Jack had 80 marbles.

Step-by-step explanation:

Answer:All you have is multiply

4.50/5 = 0.9

The unit price is 0.9

Step-by-step explanation: I did it and got it right

The product of the expression 1 1/6 x 7/8  is 49/48

Fractions are defined as parts of a whole number.

The different types of fractions are;

From the information given, we have the fractions;

1 1/6 x 7/8

convert the mixed fraction to improper fractions, we have;

7/6 × 7/8

Now, multiply both the numerators and denominators, we get;

49/48

Learn about fractions at: https://brainly.com/question/11562149

#SPJ1