Why are there two solutions for the equation |6+y| = 2?
Explain.

The present value of a future amount is calculated using the formula: Present Value = Future Amount / (1 + R)N. This formula is used to calculate the present value of a future amount of $24,000 for 113 days with an interest rate of 7%. The time period (N) is 113 days and the interest rate is 7%. To convert the given number of days into years, one year is 365 days  113 days = 113/365 years. The present value of the future amount is $23,517.31 (approx).

Present Value of Future Amount:We can find the present value of the future amount using the following formula:Present Value = Future Amount / (1 + R)ᴺWhere, R is the annual interest rate, N is the number of periods. Now, we have to calculate the present value of the future amount of $24,000 for 113 days with an interest rate of 7%.Solution:

Given that, Future Amount (FV) = $24,000

Rate of Interest (R) = 7%

Time period (N) = 113 daysYear has 365 days,

so we have to change the time in years as follows:1 year = 365 days ∴ 113 days = 113/365 years

Interest Rate (R) = 7% = 0.07

Applying the formula,

PV = FV / (1 + R)ᴺPV

= 24000 / (1 + 0.07)⁽¹¹³/³⁶⁵⁾PV = $23,517.31 (approx)

Therefore, the present value of the future amount is $23,517.31 (approx).

Hence, option A is correct.

Note: By taking 365 days as 1 year, we can convert the given number of days into years.

To know more about present value Visit:

https://brainly.com/question/28304447

#SPJ11

Answer:

Step-by-step explanation:

I’m not too good with this but the answer should be 87.5

Answer:

82 degrees.

Step-by-step explanation:

Hope this helps!

Answer:

10% = 1/10

20% = 1/5

100% = 3/3

75% = 3/4

Step-by-step explanation:

Answer:

Awnser is down below

Step-by-step explanation:

75= 3/4

20= 1/5

10 = 1/10

100= 3/3

Hope this helps :)

Answer:

Step-by-step explanation:

the slope of the line represented by the equation y = - 2/3 - 5x

is : -5

To check the if a table represents a linear or non linear function we have to find the rate of change between the first two ordered pairs can be compared to the rate of change between the first and last ordered pairs to see if they are the same then they are linear else they are non linear.

Well, a straight line is proportional to a linear function (on a graph). And the answers to the numbers can't be the same. If the X input is 5, for instance, and the Y output is 7, then Another non-linear X input of 5 and Y output of 8 follows.

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

To know more about Straight line click on below link:

brainly.com/question/29223887#

#SPJ4

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

In scenario a, the function c(x) represents the density of traffic on a straight road, measured in cars per mile, where x is the number of miles east of a major interchange. The product c(x) · Ax has units of cars, as it represents the number of cars in a certain segment of the road. The definite integral ∫ c(x) dx and its Riemann sum approximation given by 1/n ∑ c(xi) · Δx have units of cars per mile, as they represent the average density of traffic over a certain distance. When evaluating the definite integral ∫ c(x) dx, we get a value that represents the total number of cars on the road between two given points.

In scenario b, the function B(x) represents the distribution of the weight of books on a shelf, in pounds per inch, where x is the number of inches from the left end of the shelf. The product B(x) · Ax has units of pounds, as it represents the weight of books in a certain segment of the shelf. The definite integral ∫ B(x) dx and its Riemann sum approximation given by 1/n ∑ B(xi) · Δx have units of pounds, as they represent the total weight of books on the shelf. When evaluating the definite integral ∫ B(x) dx, we get a value that represents the total weight of books on the shelf.
a. i. The units on the product c(x) · Δx are cars per mile (from c(x)) multiplied by miles (from Δx), resulting in cars.

a. ii. The units on the definite integral and its Riemann sum approximation are the same as the units on the product c(x) · Δx, which are cars.

a. iii. To evaluate the definite integral, we have:

∫(200 + 100e^(-0.12x)) dx

Using the integral rules, we get:

[200x - (100/0.12)e^(-0.12x)] (evaluate this from 0 to a specific value to find the total cars between 0 and that value)

The meaning of the value is the total number of cars on the road between 0 miles and the specified value of x miles east of the major interchange.

b. i. The units on the product B(x) · Δx are pounds per inch (from B(x)) multiplied by inches (from Δx), resulting in pounds.

b. ii. The units on the definite integral and its Riemann sum approximation are the same as the units on the product B(x) · Δx, which are pounds.

b. iii. To evaluate the definite integral, we have:

∫(0.5 + (x+1)^2) dx

Using the integral rules, we get:

[0.5x + (1/3)(x+1)^3] (evaluate this from 0 to 72 to find the total weight of books on the shelf)

The meaning of the value is the total weight of the books on the 6-foot-long shelf.

Learn more about :

Riemann sum : https://brainly.com/question/25828595?referrer=searchResults

#SPJ11

Answer:

Whats your last question?

Answer:

whats the question tho?

Step-by-step explanation:

Answer:

length should be 7.7 meters (if not 7.7 then 7.6)

Step-by-step explanation:

A=LW

(area equals length times width)

just plug in what you know...

we know the area (A) is 20 square meters

we know that the width (W) is 2.6 meters

20=L2.6

now divide 2.6 to get L by itself which will give you

7.69230769231 (rounded to the nearest tenth is 7.7)

you can check this by adding 5 to the width (since it says the length is 5 meters longer than the width) and see if you get the same answer

hope this helps !! :)))

Answer:

gregregerer,gmnhgtmbmfbfmbfgmbmfbmbnnhmm,m,jk,jk,j,j,jj,nnb,bn,n,hj,h,b,b,,b,g,df,vg,s,dfgjbldhldlbjdkbjdhkmjhfmndsjhmsnjhgnxdhgnxchgngnghngnngjgjgjgjgjgjgjggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggjggjgjgjgjj n fgjkhjsgs.q.ga;.ga;g;ergeg;gregs;g;erg;rgjrgrjg;jgdjgdfjg;dfjgdfjgjdfg;dfg;jfg;fg;jdfgdjgdjgjdgjdjgdjgjdgjdjgjdg;j;jdgjvjdfvjjjdg;g;jsjgkskskskskskskskksgkkgkgkkkkkkkkkk

Step-by-step explanation:

Answer:

a=30°; b=40°;c=40°; d=40°; e=110°: f=110°; g=30°; h=140°; i=70°; j=70°

To find the volume of the region D bounded below by the cone \(z=\sqrt{x^2+y^2}\) and above by the sphere \(x^2+y^2+z^2=25\), using rectangular coordinates, the z-limits of integration need to be determined. The z-limits depend on the intersection points of the cone and the sphere.

To determine the z-limits of integration for finding the volume of region D, we need to find the intersection points of the cone \(z=\sqrt{x^2+y^2}\) and the sphere \(x^2+y^2+z^2=25\). Setting these equations equal to each other, we have \(\sqrt{x^2+y^2}=\sqrt{25-x^2-y^2}\). Squaring both sides, we get \(x^2+y^2=25-x^2-y^2\). Simplifying, we obtain \(2x^2+2y^2=25\). Rearranging, we have \(x^2+y^2=12.5\). This equation represents the intersection curve between the cone and the sphere. By examining this curve, we can determine the z-limits of integration.

Since the cone is defined as \(z=\sqrt{x^2+y^2}\), the lower z-limit is given by z = 0. For the upper z-limit, we need to find the z-coordinate of the intersection curve between the cone and the sphere. By substituting \(x^2+y^2=12.5\) into the equation of the cone, we have \(z=\sqrt{12.5}\). Therefore, the upper z-limit is \(z=\sqrt{12.5}\). Hence, the z-limits of integration for finding the volume of region D using rectangular coordinates are 0 to \(\sqrt{12.5}\).

Learn more about integration here:

https://brainly.com/question/31744185

#SPJ11

The minimum length of the third side must be greater than 16 feet.

The minimum length of the third side can be determined using the Triangle inequality theorem. This theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. The Triangle Inequality Theorem can be expressed by the following inequality: a + b > c, where a, b, and c are the lengths of the three sides of the triangle. In this case, we have two sides of 4 feet and 12 feet, so the inequality can be written as 4 + 12 > c, which simplifies to 16 > c. Solving for c yields c > 16, which means that the minimum length of the third side must be greater than 16 feet.

Learn more about  Triangle inequality theorem here:

https://brainly.com/question/1163433

#SPJ4

The number of customers in line at a bank in a 24-hour period can be classified as a discrete variable.

A qualitative variable represents characteristics or qualities that cannot be measured numerically, such as colors or preferences, and does not apply in this case. The number of customers in line at the bank can be quantified using numbers, so it is not a qualitative variable.

A continuous variable represents values that can take any real number within a certain range, such as temperature or time. However, in this case, the number of customers in line can only be a whole number and cannot take on fractions or decimals. Therefore, it is not a continuous variable.

On the other hand, a discrete variable represents values that can only take on specific, separate values, often integers, with no values in between. The number of customers in line at a bank is discrete since it can only be a whole number (0, 1, 2, 3, and so on) and cannot have fractional or continuous values.

Based on the nature of the variable and the fact that the number of customers in line at a bank in a 24-hour period can only take on whole number values, it can be concluded that it is a discrete variable.

To know more about Variables, visit

https://brainly.com/question/28248724

#SPJ11

Answer:the sector is 280°

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

Pardon the handwriting and mark brainliest if possible please! ^-^

Answer:

26,600

Step-by-step explanation:

10 percent= 1,360

1 percent= 136

+=1,496

*9 =10,000

the other answer to this is wrong :/ It would actually be

A total of $14,722 must be repaid on November 7.

Answer:

\(The\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ = 90\\ The\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ =45\)

Step-by-step explanation:

\(We\ are\ given:\\Total\ no.\ of\ wagons\ in\ both\ the\ stations=135\ wagons\\Now,\\Let\ both\ the\ stations\ be\ denoted\ as\ Station\ A\ and\ Station\ B.\\\\Let\ the\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ be\ x\\Let\ the\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ be\ y\\Hence,\\We\ are\ also\ given\ that,\\Number\ of\ wagons\ that\ removed\ from\ Station\ A=45\\Number\ of\ wagons\ that\ were\ added\ to\ Station\ A=36\\Similarly,\\\)

\(Number\ of\ wagons\ that\ removed\ from\ Station\ B=36\\Number\ of\ wagons\ that\ were\ added\ to\ Station\ B=45\\Hence,\\The\ final\ number\ of\ wagons\ in\ Station\ A=x-45+36=x-9\\The\ final\ number\ of\ wagons\ in\ Station\ B=x+45-36=y+9\\Now,\\As\ we\ already\ know,\\No.\ of\ wagons\ in\ Station\ A\ at\ the\ beginning\\ +No.\ of\ wagons\ in\ Station\ B\ at\ the\ beginning=135\\Hence,\\x+y=135\\y=(135-x)\\Hence,\\The\ final\ number\ of\ wagons\ in\ Station\ B=y+9=(135-x)+9=(144-x)\)

\(We\ are\ also\ given\ that,\\Final\ number\ of\ wagons\ in\ Station\ A=\frac{3}{2}* Final\ number\ of\ wagons\\ in\ Station\ B\\Hence,\\(x-9)=\frac{3}{2}*(144-x)\\By\ simplifying:\\2(x-9)=3(144-x)\\2x-18=432-3x\\3x+2x=432+18\\5x=450\\x=\frac{450}{5}=90\\Hence,\\The\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ = x=90\\ The\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ =y=(135-x)=(135-90)=45\)

SUM (from n=0 to ∞) = (-1)^n * (1 / (4n+4))

The given sum can be written using sigma notation as follows:

SUM (from n=0 to ∞) = (-1)^n * (1 / (4n+4))

Here, "SUM" represents the summation, "sigma" is the Greek letter used for the summation notation, "n" is the index of summation, and we are "using" the formula (-1)^n * (1 / (4n+4)) to express the alternating series.

SUM (from n=0 to ∞) = (-1)^n * (1 / (4n+4)).

To learn more about sigma notation visit: brainly.com/question/27737241

#SPJ11

Answer:

D

Step-by-step explanation:

D is more appropriate for distance formula because you are looking for the whole length between two points rather than the point in between the the two points such as in the other answers.

Answer:

1

Step-by-step explanation:

Answer:

its b or d not c and not a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

this is because it increases quickly and then increases more slowly

Answer:

The value of x is 25.

Step-by-step explanation:

Given that M is the midpoint of LN. So the distance of LM is equals to MN.

\(lm = mn\)

\(43 = 2x - 7\)

Then you can solve it :

\(2x = 43 + 7\)

\(2x = 50\)

\(x = 25\)

The inequality that represents the domain of the function is \(\frac 12x - 10 \ge 0\)

The function is given as:

\(f(x) = \sqrt{\frac 12x - 10} + 3\)

Set the radicand greater than or equal to 0

\(\frac 12x - 10 \ge 0\)

Multiply through by 2

x - 20 ≥ 0

Add 20 to both sides

x ≥ 20  

Hence, the domain of the function is x ≥ 20  

Read more about domain at:

https://brainly.com/question/1770447

#SPJ1

a) The probability that the murder was committed with a knife: 0.55

b) The probability that the cook did it, given that the murder was committed with a knife: 0.275

To determine the probability that the murder was committed with a knife, we first need to find the total number of weapons.

The butler has four poison tipped pens, two crowbars and four knives and the cook has three rolling pins and seven knives.

So, the total knives: 4 + 7 = 11

crowbars: 2

poison tipped pens: 4

and rolling pins: 3

So, the total number of weapons: 11 + 2 + 4+ 3 = 20

The probability that the murder was committed with a knife:

p = 11/20

p = 0.55

Now we need to find the probability that the cook did it, given that the murder was committed with a knife.

P = 0.55 × 0.5

P = 0.275

The required probability is 0.275

Learn more about the probability here:

https://brainly.com/question/15124899

#SPJ4

Answer:

See below

Step-by-step explanation:

In this state, 88.3% of snapping turtles are legal to keep, and 11.7% are considered illegal to keep.

Explanation:

In this state, the percentage of snapping turtles that are legal to keep can be calculated using the z-score formula

: Z = (X - μ) / σ,

where X is the length requirement,

μ is the average length, an

d σ is the standard deviation.

1. Calculate the z-score for 25 inches: Z = (25 - 32.5) / 6.3 = -7.5 / 6.3 ≈ -1.19
2. Use a z-table to find the percentage: P(Z < -1.19) ≈ 0.117
3. The percentage of snapping turtles that are legal to keep is 100% - 11.7% = 88.3%.

In this state, 88.3% of snapping turtles are legal to keep, and 11.7% are considered illegal to keep.

For the department of natural resources to restrict fishing so that only the top 10% of snapping turtles are allowed to be kept, we need to find the minimum length that corresponds to the top 10% of the population.

1. Find the z-score corresponding to the top 10%: Using a z-table, we find that the z-score is approximately 1.28.
2. Use the z-score formula to find the minimum length: X = μ + Z * σ = 32.5 + 1.28 * 6.3 ≈ 40.56 inches.

The department of natural resources should set a minimum length of approximately 40.56 inches to only allow fishermen to keep snapping turtles in the top 10% of size.

To know more about length:

https://brainly.com/question/8552546

#SPJ11

Answer:0.5

Step-by-step explanation:

Answer:

Second option: DE

Step-by-step explanation:

Since Triangle ABC is congruent to Triangle DEF

Then AB is congruent to DE

hope this helps and is right. p.s. i really need brainliest :)

Answer:

DE

Step-by-step explanation:

Since you can see that triangle ABC and DEF are congruent and they are facing the same way you know that line DE is equal to AB

In order to solve the equation, since it is already factored, we just need to find the value of x that makes the factors be equal zero. So we have that:

So the solution is {-3/2, 1}.

The solution with the highest value is x = 1.