pls help me with this maths question, I forgot how to do it :))
​

The NPV is -$37.65 and the IRR is approximately 11.55%. To calculate the net present value (NPV) and internal rate of return (IRR), we need to consider the cash flows and the discount rate.

Given cash flows:

Year 0: $0

Year 1: -$860

Year 3: $920

Discount rate: 8%

First, let's calculate the present value (PV) of each cash flow using the discount rate:

Year 0: $0 (no cash flow)

Year 1: PV = -$860 / (1 + 0.08)^1 = -$796.30

Year 3: PV = $920 / (1 + 0.08)^3 = $758.65

Now we can calculate the NPV by summing up the present values of all cash flows:

NPV = PV(year 1) + PV(year 3)

= -$796.30 + $758.65

= -$37.65

The NPV is -$37.65.

To calculate the IRR, we need to find the discount rate that makes the NPV equal to zero. In this case, we can use the trial and error method or utilize financial software or calculators to find the IRR. Let's assume the IRR is r%.

Using the cash flows and the IRR:

Year 0: $0

Year 1: -$860

Year 3: $920

Setting the NPV equal to zero:

0 = PV(year 1) + PV(year 3)

\(0 = -$860 / (1 + r)^1 + $920 / (1 + r)^3\)

Solving this equation for r gives us the IRR. However, solving this equation analytically can be complex, so it's better to use financial software or calculators.

Using a financial calculator or software, the IRR for these cash flows can be calculated as approximately 11.55%.

Therefore, the NPV is -$37.65 and the IRR is approximately 11.55%.

To know more about NPV here

https://brainly.com/question/33284820

#SPJ11

The option B, "The adult male foot length of 23.8 cm is significantly low because it is less than 24.26 cm" is correct.

In the given question, a group of adult males has foot lengths with a mean of 26.84 cm and a standard deviation of 1.29 cm.

We have to find the adult male foot length of 23.8 cm significantly low or significantly​ high.

According to thumb rule, a value is significantly low if it is 2 standard deviations below mean and significantly high if it is 2 standard deviations above mean

Mean = 26.84 cm

Standard deviation = 1.29 cm

Significantly low value = 26.84 - 2*1.29 = 24.26 cm

Significantly high value = 26.84 + 2*1.29 = 29.42 cm

Significantly low values are 24.26 cm or lower.

Significantly high values are 29.42 cm or higher.

The adult male foot length of 23.8 is lower than the significant low value of 24.26.

So the option B, "The adult male foot length of 23.8 cm is significantly low because it is less than 24.26 cm" is correct.

To learn more about thumb rule link is here

brainly.com/question/607952

#SPJ4

The profit is maximized when 5,156 thousand items are produced, and the maximum profit is $61,250.39.

The profit function is given by:

P(x) = R(x) - C(x)

where R(x) is the revenue function and C(x) is the cost function. Since the price of each item is $514, the revenue function is:

R(x) = 514x

Substituting the given cost function, we get:

\(P(x) = 514x - (300 + 19x + 48x^2)\)

Simplifying, we get:

\(P(x) = -48x^2 + 495x - 300\)

To find the production level that maximizes profit, we need to find the value of x that maximizes the profit function P(x).

We can do this by taking the derivative of P(x) with respect to x, setting it equal to zero, and solving for x:

P'(x) = -96x + 495 = 0

-96x = -495

x = 5.15625

Since x represents the number of thousands of items produced, the production level that will maximize profit is 5,156 items.

To find the maximum profit, we substitute x = 5.15625 into the profit function:

\(P(5.15625) = -48(5.15625)^2 + 495(5.15625) - 300\)

P(5.15625) = $61,250.39

Therefore, the profit is maximized when 5,156 thousand items are produced, and the maximum profit is $61,250.39.

Learn more about profit function and productive level.

brainly.com/question/31300228

#SPJ11

Answer:

y= x+ 4

is the answer

23

Step-by-step explanation:

\(f(3) = {(3)}^{2} + 3(3) - 7 = 9 + 9 - 7 \\ = 18 - 7 = 11\)

\(g(3) = 5(3) - 3 = 15 - 3 = 12\)

\(f(3) + g(3) = 11 + 12 = 23\)

RATE BRAINLIEST

The values for each blank is:

1. x

2. y

3. 4

4. 4

1. Change f(x) to y the  the result will be

y = √(x-4)

2. switch x and y, then solve for y

then, x = √y-4

x² = y-4

x² + 4 = y

3. Now change y to \(f^{-1}\)(x)

then  \(f^{-1}\)(x) = x² + 4

4. Since, the original function is defined only for x - 4 ≥ 0, you solve for x and get x ≥ 4.

Hence, the final blank is 4.

Learn more about Function here:

https://brainly.com/question/30721594

#SPJ12

The question attached here seems to be incomplete the complete question here:

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

consider the given function: f(x)= √x-4

To determine the inverse of the given function, change f(x) to y, switch______ and y, and solve for ______.

The resulting function can be written as (f) to the power of -1(x)=x squared + ______, where x is greater than or equal to ______.

Answer: -2√5

Step-by-step explanation:

The average charge on arginine at pH 9.20 is +1.

Arginine is an amino acid that contains multiple ionizable groups, including the amino group (-NH2), the carboxyl group (-COOH), and the guanidino group (-NH-C(NH2)2). The average charge on arginine depends on the pKa values of these groups and the pH of the solution.

At pH 9.20, which is alkaline or basic, the carboxyl group (-COOH) and the guanidino group (-NH-C(NH2)2) will be deprotonated and carry a negative charge, while the amino group (-NH2) will be protonated and carry a positive charge.

The pKa values of the ionizable groups in arginine are approximately as follows:

Carboxyl group: pKa ~ 2.17

Amino group: pKa ~ 9.00

Guanidino group: pKa ~ 12.48

To determine the average charge on arginine at pH 9.20, we need to consider the ionization states of these groups. Since the pH is greater than the pKa of the carboxyl group and the guanidino group, these groups will be deprotonated and carry a negative charge. The amino group will be protonated and carry a positive charge.

Therefore, at pH 9.20, the average charge on arginine is +1. This means that, on average, arginine will have a net positive charge of +1 under these conditions.

At pH 9.20, the average charge on arginine is +1. This indicates that, on average, arginine will carry a net positive charge of +1 in a solution with this pH.

To know more about ionizable groups, visit

https://brainly.com/question/30173945

#SPJ11

Answer:

ans willbe -8

Step-by-step explanation:

-1/2 × 2 =-1

-1×2=-2

-2×2=-4

-4×2=-8

It will take 13 minutes and 30 seconds for the tanks to have an equal amount of water.

Since Louis is filling two tanks of water in his home, and Tank A currently contains 27 gallons and has a hose filling it at a rate of 3 gallons per minute, while the other tank, Tank B, has 38 gallons and is being filled at a rate of 2 gallons per minute, to determine how many minutes will it take for the tanks to have an equal amount of water, the following calculation must be made:

Therefore, it will take 13 minutes and 30 seconds for the tanks to have an equal amount of water.

Learn more about quantities in https://brainly.com/question/25831031

Answer:

(x + 5)² + (y - 4)² = 17

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 5, 4 ) , then

(x - (- 5) )² + (y - 4)² = r² , that is

(x + 5)² + (y - 4)² = r²

r is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (- 1, 5)

r = \(\sqrt{(-1+5)^2+(5-4)^2}\)

  = \(\sqrt{4^2+1^2}\)

  = \(\sqrt{16+1}\)

  = \(\sqrt{17}\) ⇒ r² = (\(\sqrt{17}\) )² = 17

Then

(x + 5)² + (y - 4)² = 17 ← equation of circle

Answer:

x² + y² + 10x - 8y + 24 = 0

Step-by-step explanation:

equation of a circle :-

equation of a circle :-(x - h)² + (y - k)² = r²

for this circle :-

finding radius of the circle

we've been given a point ( -1, 5) that lies on the circle and hence should satisfy the equation of the circle

putting x = -1 and y = 5

=> (-1 - (-5))² + (5 - 4)² = r²

=> (-1 + 5)² + 1² = r²

=> 4² + 1 = r²

=> 17 = r²

\( = > r = \sqrt{17} \)

the radius if the circle is √17 units

__________________________________

finding the equation of the circle

=> (x + 5)² + (y - 4)² = (√17)²

=> x² + 25 + 10x + y² + 16 - 8y = 17

=> x² + y² + 10x - 8y + 24 = 0

Answer: the Equation is y-3=0.4(x-1) or y-5=0.4(x-6).

Step-by-step explanation: I hope this helps.

The number of students who earned a score of 90 or less in class 2 is 7, and the number of students who earned less than 75 in class 1 is 3. The difference between the two is 4.

The given problem presents two box plots representing the test scores for two different classes. Class 1 has 17 students, while class 2 has 13 students. It is required to find the difference between the number of students who earned a score of 90 or less in class 2 and the number of students who earned less than 75 in class 1.

By analyzing the box plots, we can see that 7 students in class 2 earned a score of 90 or less, while only 3 students in class 1 earned less than 75. Therefore, the difference between the two is 4. It is important to understand box plots and their interpretation to solve such problems.

To know more about box plot, here

brainly.com/question/15600223

#SPJ4

Step-by-step explanation:

Hi

Please mark brainliest ❣️

The answer is 21.4009

Since you don't need workings

Excision of

benign lesions

on chest, 0.4 cm, with simple closure(CPT CODE)CPT code is a five-digit numeric code that is used to describe medical, surgical, and diagnostic procedures.

The CPT code for the Excision of benign lesions on chest, 0.4 cm, with simple closure is 11400. The CPT code 11400 is used to report the removal of benign lesions or skin tags. It is a

surgical

procedure performed to remove a benign lesion, which is a tumor that is not

cancerous

.

The

excision

of benign lesions is performed for a variety of reasons, including cosmetic purposes, symptom relief, or to prevent the

lesion

from becoming cancerous. Excision of benign lesions on chest, 0.4 cm, with simple closure is a minor surgical procedure that can be performed in an outpatient setting.

The simple closure refers to the wound closure technique, where the edges of the incision are brought together and closed with sutures or staples. A simple closure is used when the wound is small and does not require extensive tissue

rearrangement

or grafting. The excision of benign lesions on the chest, 0.4 cm, with simple closure is performed to remove a benign lesion or tumor from the chest area that measures 0.4 cm in size.

Learn more about

excision

from:

https://brainly.com/question/32280628

#SPJ11

Answer:

? = 15 yards

Step-by-step explanation:

h² + b² = ?²

9² + 12² = ?²

81 + 144

225

√225 = 15

Answer:

Pythagorean theorem

Step-by-step explanation:

You should use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

9^2+ 12^2 = ?^2

81 +144 = ?^2

225 = ?^2

Take the square root of each side

sqrt(225) = sqrt(?^2)

15 =?

total time = 4 hours

Upstream = 15 km/h

downstream = 25 km/h

The disatance is the same

speed = distance / time

solve for distance

distance = speed x time

total distance = distance upstream + distance downstrem

4(average speed) = 15(first time) + 25(second time)

To accumulate $2,176,097.00 in his retirement account by age 65, Derek needs to make annual deposits of $5,000.00 starting on his 27th birthday and ending on his 65th birthday, assuming an 8.00% interest rate.

To determine the annual deposits Derek needs to make, we can use the future value of an ordinary annuity formula. First, we calculate the number of years between Derek's 25th and 65th birthdays, which is 65 - 25 = 40 years. Next, we calculate the future value of the retirement account using the given interest rate of 8.00%. Using the formula:

Future Value = Present Value * (1 + interest rate)^number of periods

In this case, the future value is $2,176,097.00, the interest rate is 8.00%, and the number of periods is 40. We can rearrange the formula to solve for the present value:Present Value = Future Value / (1 + interest rate)^number of periods

Substituting the values:Present Value = $2,176,097.00 / (1 + 0.08)^40 = $123,529.31 (rounded to 2 decimal places)

Now, we need to find the annual deposit amount. Since Derek starts making deposits on his 27th birthday and ends on his 65th birthday, he makes deposits for 65 - 27 = 38 years.Annual Deposit = Present Value / ((1 + interest rate)^number of periods - 1)Substituting the values:

Annual Deposit = $123,529.31 / ((1 + 0.08)^38 - 1) = $5,000.00 (rounded to 2 decimal places)Therefore, Derek must make annual deposits of $5,000.00 into his retirement account starting on his 27th birthday and ending on his 65th birthday to accumulate $2,176,097.00 by the time he turns 65.

To learn more about interest rate click here

brainly.com/question/32615546

#SPJ11

Answer:

a) 4:7 = 5:9 , there value is not equal

Answer: C

Steps:

39+17+17=73

73x0.06=4.38

4.38+73=77.38

Add the sales tax to price without tax

Answer:

C. $77.38

Step-by-step explanation:

Items + tax = total

Items × .06 = tax

OR

Items × 1.06 = total

39 + 17 + 17 = 73

73 × .06 = 4.38

73 + 4.38 = 77.38

OR

73 × 1.06 = 77.38

The Civil War was fought between the North and the South, and it was the bloodiest conflict in American history. The Civil War ended in 1865 with the defeat of the South and the reunification of the country.

The election of 1860 saw the defeat of the nationalistic candidate Stephen A. Douglas, which demonstrated the division of the country, and this led to the breakdown of the Union in 1861. The election of 1860 demonstrated the deep political, social, and economic divisions that had existed in the country since the time of the founding fathers and how these divisions could lead to the collapse of the government itself.The election of 1860 saw the defeat of the nationalistic candidate Stephen A. Douglas, who was defeated by Abraham Lincoln, who was the candidate of the Republican Party. The election of 1860 was the first in which the Democratic Party had split into two, and as a result, the party was unable to present a united front. The election also saw the rise of the Republican Party, which was a party that was strongly opposed to the extension of slavery into the western territories. The Republican Party had been formed in 1854, in opposition to the Kansas-Nebraska Act, which had allowed the people in the western territories to decide for themselves whether or not to allow slavery. The Republican Party had quickly become the party of the North, and the party's platform was focused on protecting the interests of the North, and opposing the interests of the South.The election of 1860 demonstrated how the country was deeply divided, and how this division could lead to the breakdown of the government itself. The election was followed by a series of events that led to the secession of the southern states, and the subsequent Civil War. The Civil War was fought between the North and the South, and it was the bloodiest conflict in American history. The Civil War ended in 1865 with the defeat of the South and the reunification of the country.

Learn more about war :

https://brainly.com/question/11874600

#SPJ11

A plasmid used in both yeast and bacteria requires two different selection markers because the same selection may not work for both hosts and bacteria and yeast recognize different promoters.

When using a plasmid in both yeast and bacteria, it is important to have two different selection markers for several reasons. First, the same selection, such as the presence of an antibiotic, may not be effective in both hosts. Different organisms have varying sensitivities to antibiotics, so a marker that works in bacteria may not work in yeast or vice versa. Therefore, two different selection markers are needed to ensure successful selection in both hosts.

Additionally, bacteria and yeast recognize different promoters, which are DNA sequences that control the initiation of gene expression. Promoters are specific to each organism and play a crucial role in regulating gene expression. By incorporating two different selection markers into the plasmid, each marker can be driven by a promoter recognized specifically by the corresponding host. This ensures that the selection marker is effectively expressed in the appropriate host organism, enabling accurate selection and maintenance of the plasmid.

In summary, using two different selection markers in a plasmid intended for both yeast and bacteria is necessary because the same selection may not be effective in both hosts, and different promoters are recognized by bacteria and yeast. This approach allows for successful selection and maintenance of the plasmid in both organisms.

To learn more about plasmid refer:

https://brainly.com/question/30313647

#SPJ11

The value of k is -3.

Based on the information provided, we can see that the lines f(x) and g(x) intersect at the point (-3, -3).

Since g(x) is defined as g(x) = k, where k is a constant.

So, we can determine the value of k by substituting the x-coordinate of the point of intersection into the equation for g(x).

In this case, when x = -3, g(x) = k = -3.

Therefore, the value of k is -3.

Learn more about function here:

https://brainly.com/question/30721594

#SPJ1

Using the Central Limit Theorem, it is found that the shape of \(\bar{x}\) is approximately normal.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

In this problem, the distribution is not normal, however the sample size is of 100 > 30, hence the Central Limit Theorem is applicable and the shape of \(\bar{x}\) is approximately normal.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/4086221

Answer:

a taco is 1.25 and a drink is 0.95

Step-by-step explanation:

tacos = t

drinks = d

5t + 3d = 9.10

3t + d = 4.70

this is a simultaneous equation so times the first one by one and the second by 3 and then take them away from each other and solving to get

t = 1.25 and d=0.95

one drink is $0.95

one taco is $1.25

Hope this helps!!

The probability of success, p, is the same for each trial. Each outcome is either a success (P) or a failure (Q). The correct option is A.

Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.

You should perform x trials until you observe a success.

We have given that,

There are exactly two possible outcomes success and failure.

We have to determine the following is NOT a common characteristic of a binomial distribution.

By process of elimination:-

A binomial experiment is a statistical experiment that must meet certain requirements

All trials are independent.

There are a fixed number of n trials.

The probability of success, p, is the same for each trial.

To learn more about the probability visit:

brainly.com/question/24756209

#SPJ1

The measure of angle MQS is 18°.

In mathematics, angles are typically measured in degrees or radians.

An angle is formed by two rays that have a common endpoint called the vertex. The rays are the sides of an angle, and the endpoint is called the vertex.

There are different types of angles:

Acute angle: an angle measuring between 0 and 90 degrees.

Right angle: an angle measuring exactly 90 degrees.

Obtuse angle: an angle measuring between 90 and 180 degrees.

Straight angle: an angle measuring exactly 180 degrees.

Reflex angle: an angle measuring between 180 and 360 degrees.

Draw QT  and QS

Angles TQP, SQT, and  SQR  will trisect the interior angle PQR

And PQR  = 108

So  ...angle  SQT  = 108 / 3   = 36

But...by symmetry....angle XQS  =  (1/2)angle SQT  = (1/2)36  = 18°

Therefore, The measure of angle MQS is 18°.

To know more about angles refer to:

brainly.com/question/28451077

#SPJ4

Answer:

80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

50 times .8 aka 80 percent is 40

The character of the string "str1" = part1 will be printed.

The correct option is C.

We have,

str1 = "part1"

str2 = "part2" for x in str1: print (x, end=" " )

The program will print each character of the string "str1" on a separate line, followed by a space.

In this case, the string "str1" is "part1", so the program will print "p a r t 1" (with spaces in between each character).

The string "str2" is not involved in the loop, so it will not be printed.

Learn more about Loop here:

https://brainly.com/question/14390367

#SPJ4