I need help! Someone help me please

I Need Help! Someone Help Me Please

Answers

Answer 1

Answer:

4. 27

Step-by-step explanation:

11-10=1 which is <=16

15-10=5 which is <=16

26-10=16 which is <=16

27-10=17 which isn't <=16

Therefore 27 doesn't satisfy the inequality

Answer 2

Answer:

4.   27

Step-by-step explanation:

w - 10 ≤ 16

w≤16 + 10

w ≤ 26

11 ≤ 26

15≤26

26≤26

26≤ 27 False


Related Questions

What is the range of the function y = -x ^2 + 1?


A. y ≤ -1

B. y ≥ -1

C. y ≤ 1

D. y ≥ 1

Answers

Answer:

  C.  y ≤ 1

Step-by-step explanation:

The maximum value of the function is 1. So, the range is all values of y less than or equal to that.

  y ≤ 1

If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?

Answers

Answer:

When x is 2, y is 16

Step-by-step explanation:

If y is 48 and x is 6, then y is 8 when x is 1.

Because of this, when x is 2, y will be 16.

Please mark Brainliest

which of the following represents a function​

Answers

Answer:

Second option

Step-by-step explanation:

For a set to represent a function, each input value in the set domain should match with one and only one output value of set range.

The option that follows this rule os second option as 1 is matched with 2 only, and 3 is matched with 3 only, and 5 is matched with 7 only.

Tony rode his bicycle 3 7/10 miles to school. What is this distance written as a decimal?

Answers

Answer:

7/10=0.7

3+0.7=3.7

3.7

Hope this helps

Step-by-step explanation:

HELP...it has timer​

Answers

Answer:

lily has a larger ratio

Step-by-step explanation:

PLEASE HELP ?


The range is the set of

A: first coordinates

B: ordered pairs

C:second coordinates

Answers

Answer:

C:second coordinates

Step-by-step explanation:

A range is the set of output coordinates

The domain is the input coordinates

Domain is the x, range is the y

Answer: its definitly c

Step-by-step explanation:

Solve 5(2x-3a)+2b=3ax-4, for x

Answers

Answer:

10x-15a

Step-by-step explanation:

so im gna write smthn so jejjxhejxheidjieh uruxueudueususus

The mean annual salary for intermediate level executives is about $74000 per year with a standard deviation of $2500. A random sample of 36 intermediate level executives is selected. What is the probability that the mean annual salary of the sample is between $71000 and $73500?

Answers

Answer:

11.51% probability that the mean annual salary of the sample is between $71000 and $73500

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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.

Central Limit Theorem

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

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 74000, \sigma = 2500, n = 36, s = \frac{2500}{\sqrt{36}} = 416.67[/tex]

What is the probability that the mean annual salary of the sample is between $71000 and $73500?

This is the pvalue of Z when X = 73500 subtracted by the pvalue of Z when X = 71000. So

X = 73500

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

By the Central Limit Theorem

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

[tex]Z = \frac{73500 - 74000}{416.67}[/tex]

[tex]Z = -1.2[/tex]

[tex]Z = -1.2[/tex] has a pvalue of 0.1151

X = 71000

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

[tex]Z = \frac{71000 - 74000}{416.67}[/tex]

[tex]Z = -7.2[/tex]

[tex]Z = -7.2[/tex] has a pvalue of 0.

0.1151 - 0 = 0.1151

11.51% probability that the mean annual salary of the sample is between $71000 and $73500

convert 6 kilograms to grams

Answers

Answer:

6000 grams the formula would be multiply the mass value by 1000

Step-by-step explanation:

Answer:

6000 grams

Step-by-step explanation:

6 kilograms

To convert kg into grams, we multiply by 1000

So,

=> 6 * 1000 grams

=> 6000 grams

Assuming the below results were obtained in a study used to test the accuracy of the rapid diagnostic test for influenza, calculate and interpret the sensitivity of the rapid diagnostic influenza test.
Frequency of Flu Cases Frequency of Non-Fu Cases
Frequency of Individuals who 47 10
Screened Positive
Frequency of individuals who 43 100
Screened Negative
A) When the rapid diagnostic influenza test is used, 52.22% of individuals who have the flu test positive for the flu.
B) When the rapid diagnostic influenza test is used, 90.91% of individuals who have the flu test positive for the
C) When the rapid diagnostic influenza test is used, 47.78% of individuals who have the flu test positive for the flu.
D) When the rapid diagnostic influenza test is used, 9.09% of individuals who have the flu test positive for the flu.

Answers

Answer:

c

Step-by-step explanation:

Florian ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles. Which shows the correct equation and value of x, the distance of 1 lap around the path at the park? 3.6 x + 1.2 = 4.8; x = 1 mile 4.8 x + 1.2 = 3.6; x = 1 mile 3.6 x + 1.2 = 4.8; x = 0.5 mile 4.8 x + 1.2 = 3.6; x = 0.5 mile

Answers

Answer:

The correct answer would be D) 4.8x + 1.2 = 3.6; x = 0.5 mile

Step-by-step explanation:

This is because laps would be the dependent variable, so we know the number of them (4.8) would be multiplied by the variable (x). We also know that 1.2 is the constant. Now we can solve to make sure this is the right equation.

4.8x + 1.2 = 3.6

4.8x = 2.4

x = 0.5

Answer:

D) 4.8x + 1.2 = 3.6; x = 0.5 miles

Find the number of possible outcomes if the numbers 1 through 7 are written on different pieces of paper and placed in a hat. Two of these numbered pieces of paper are selected without replacement, and a 2-digit number is formed using the first number drawn in the tens place and the second number drawn used in the ones place.

Answers

Answer:

The number of the possible outcomes are:

12,13,14,15,16,17

21,23,24,25,26,27

31,32,34,35,36,37

41,42,43,45,46,47

51,52,53,54,56,57

61,62,63,64,65,67

71,72,73,74,75,76

The total number of possible outcomes = 42

Step-by-step explanation:

Given that :

the numbers 1 through 7 are written on different pieces of paper; &

Two of these numbered pieces of paper are selected without replacement;

Also,

a 2-digit number is formed using the first number drawn in the tens place and the second number drawn used in the ones place.

Then:

if the first number drawn is 1 , then the possible outcomes will be :

12,13,14,15,16,17

If the  first number drawn is 2; then the possible outcomes will be:

21,23,24,25,26,27

If the  first number drawn is 3; then the possible outcomes will be:

31,32,34,35,36,37

If the  first number drawn is 4; then the possible outcomes will be:

41,42,43,45,46,47

If the  first number drawn is 5; then the possible outcomes will be:

51,52,53,54,56,57

If the  first number drawn is 6; then the possible outcomes will be:

61,62,63,64,65,67

If the  first number drawn is 7; then the possible outcomes will be:

71,72,73,74,75,76

The number of the possible outcomes are:

12,13,14,15,16,17

21,23,24,25,26,27

31,32,34,35,36,37

41,42,43,45,46,47

51,52,53,54,56,57

61,62,63,64,65,67

71,72,73,74,75,76

The total number of possible outcomes = 7 × 6 = 42

In Georgetown, the library is 8 miles due south of the courthouse and 6 miles due west of the community swimming pool. What is the distance between the courthouse and the community swimming pool?

Answers

Answer:

10  miles

Step-by-step explanation:

tree points form a right triangle with sides 8, 6 and x

x is the hypotenuse of the triangle

x²=8²+6²=100

x=√100=10  miles

A local country officials need to calculate the capacity of a large hole for the garbage refuse dump. The dump hole is 250 feet long,120 feet wide and 30 feet deep. What is the capacity of the dump hole in cubic feet.

Answers

Answer:

900000cubic feet

Step-by-step explanation:

capacity of dump hole= 250*120*30

= 900000cubic feet

A=(-2,-7) B=(-6,4) C=(-2,7) D=(2,4) What is the perimeter?

Answers

 

[tex]\displaystyle\bf\\AB=\sqrt{\Big(-6-(-2)\Big)^2+\Big(4-(-7)\Big)^2}\\\\AB=\sqrt{\Big(-6+2\Big)^2+\Big(4+7\Big)^2}\\\\AB=\sqrt{\Big(-4\Big)^2+\Big(11\Big)^2}\\\\AB=\sqrt{16+121}\\\\\boxed{\bf AB=\sqrt{137}}[/tex]

.

[tex]\displaystyle\bf\\BC=\sqrt{\Big(-2-(-6)\Big)^2+\Big(7-4\Big)^2}\\\\BC=\sqrt{\Big(-2+6\Big)^2+\Big(7-4\Big)^2}\\\\BC=\sqrt{\Big(4\Big)^2+\Big(3\Big)^2}\\\\BC=\sqrt{16+9}\\\\BC=\sqrt{25}\\\\\boxed{\bf BC=5}[/tex]

.

[tex]\displaystyle\bf\\CD=\sqrt{\Big(2-(-2)\Big)^2+\Big(4-7\Big)^2}\\\\CD=\sqrt{\Big(2+2\Big)^2+\Big(4-7\Big)^2}\\\\CD=\sqrt{\Big(4\Big)^2+\Big(-3\Big)^2}\\\\CD=\sqrt{16+9}\\\\CD=\sqrt{25}\\\\\boxed{\bf CD=5}[/tex]

.

[tex]\displaystyle\bf\\AD=\sqrt{\Big(2-(-2)\Big)^2+\Big(4-(-7)\Big)^2}\\\\AD=\sqrt{\Big(2+2\Big)^2+\Big(4+7\Big)^2}\\\\AD=\sqrt{\Big(4\Big)^2+\Big(11\Big)^2}\\\\AD=\sqrt{16+121}\\\\\boxed{\bf AD=\sqrt{137}}[/tex]

.

[tex]\displaystyle\bf\\P=AB+BC+CD+AD=\sqrt{137}+5+5+\sqrt{137}\\\\\boxed{\bf P=10+2\sqrt{137}}[/tex]

 

X+4 is prime. X2-9can be factored using the __formula

Answers

[tex] \purple \bold{a^2 - b^2} [/tex]

Step-by-step explanation:

X+4 is prime. X2-9can be factored using the [tex] \purple \bold{a^2 - b^2} [/tex] formula

[tex] x^2 - 9\\

=x^2 - 3^2 \\

= (x+3)(x-3)[/tex]

Answer: difference-of-squares

next one is (x+3)(x-3)(x+4)

Step-by-step explanation:

just took it on ed genuity :)

write eight hundred and seven thousand, two hundred and five in figures

Answers

Answer:

807,205

Step-by-step explanation:

Take the eight hundred and seven thousand and express that has 807,000. Then, add the two hundred and five at the end to get 807,205

The given statement is written in figures 807,205.

The given statement is eight hundred and seven thousand, two hundred and five in figures.

We need to write the given statement as the number.

What are numbers?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

Now, eight hundred and seven thousand, two hundred and five=807,205.

Therefore, the given statement is written in figures 807,205.

To learn more about the numbers visit:

https://brainly.com/question/17429689.

#SPJ2

What’s the correct answer for this question?

Answers

Answer:

C:

Step-by-step explanation:

In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc

So

AQD = ARC AD/2

<AQD = 78/2

<AQD = 39°

Given ∠E≅∠P, K is the midpoint of EP Prove EG≅MP

Answers

Answer:

∠E≅∠P || Given

∠EKG≅∠PKM || Vertical angles

EK≅KP || Midpoint Theorem

EKG≅PKM || AAS(Angle Angle Side)

EG≅MP || CPCTC (Corresponding Parts of Congruent Triangles are Congruent)

Step-by-step explanation:

Pedro owns a shrimp truck near the beach. He sells garlic shrimp for $8 a plate and spicy shrimp for $6 a plate. Each day Pedro stocks enough shrimp to sell at most 120 plates total, but he would like to earn at least $800. Which combination of garlic shrimp plates and spicy shrimp plates can Pedro sell to meet his goal? A. 15 garlic shrimp plates and 110 spicy shrimp plates B. 80 garlic shrimp plates and 20 spicy shrimp plates C. 90 garlic shrimp plates and 25 spicy shrimp plates D. 70 garlic shrimp plates and 55 spicy shrimp plates

Answers

Answer:

C

Step-by-step explanation:

You can plug in each combination to see what would work

C is the only combination that satisfies all the constraints: it earns him more than $800 and is less than 120 plates.

The combination of 40 plates of garlic shrimp was sold, and 80 plates of spicy shrimp were sold can Pedro sell to meet his goal.

Given that,

Pedro owns a shrimp truck near the beach.

He sells garlic shrimp for $8 a plate and spicy shrimp for $6 a plate.

Each day Pedro stocks enough shrimp to sell at most 120 plates total, but he would like to earn at least $800.

We have to determine,

Which combination of garlic shrimp plates and spicy shrimp plates can Pedro sell to meet his goal?

According to the question,

Let the x plates of garlic shrimp sold,

And y plates of spicy shrimp sold.

Each day Pedro stocks enough shrimp to sell at most 120 plates,

Then,

Plates of garlic shrimp + Plates of spicy shrimp = Total number of shrimp sell each day.

[tex]\rm x + y =120[/tex]

And He sells garlic shrimp for $8 a plate and spicy shrimp for $6 a plate.

He would like to earn at least $800.

Then,

Cost of garlic shrimp per plate + Cost of spicy shrimp per plate = Total earning,

[tex]\rm 8x + 6y = 800[/tex]

On solving both the equation,

[tex]\rm x+y = 120\\\\8x + 6y = 800[/tex]

From equation 1,

[tex]\rm y= 120-x[/tex]

Substitute the value of x in equation 2,

[tex]\rm 8x +6y = 800\\\\8(120-y) + 6y = 800\\\\960 - 8y + 6y = 800\\\\-2y = 800-960\\\\-2y = -160\\\\y = \dfrac{-160}{-2}\\\\y = 80[/tex]

Substitute the value of y in equation 1,

[tex]\rm x + y =120\\\\x +80=120\\\\x = 120-80\\\\x =40[/tex]

Hence, The combination of 40 plates of garlic shrimp was sold, and 80 plates of spicy shrimp were sold can Pedro sell to meet his goal.

For more details refer to the link given below.

https://brainly.com/question/475594

250cm3 of fresh water of density 1000kgm-3 is mixed with 100cm3 of sea water of density 1030kgm-3. Calculate the density of the mixture. *​

Answers

Answer:

[tex] m_{fresh}= 1000 \frac{Kg}{m^3} * 2.5x10^{-4} m^3 = 0.25 Kg[/tex]

And we can do a similar procedure for the sea water:

[tex] m_{sea}= \rho_{sea} V_{sea} [/tex]

And after convert the volume to m^3 we got:

[tex] m_{sea}= 1030 \frac{Kg}{m^3} * 1x10^{-4} m^3 = 0.103 Kg[/tex]

And then the density for the mixture would be given by:

[tex] \rho_{mixture}= \frac{m_{fresh} +m_{sea}}{v_{fresh} +v_{sea}}[/tex]

And replacing we got:

[tex] \rho_{mixt}= \frac{0.25 +0.103 Kg}{2.5x10^{-4} m^3 +1x10^{-4} m^3} = 1008.571 \frac{Kg}{m^3}[/tex]

Step-by-step explanation:

For this case we can begin calculating the mass for each type of water:

[tex] m_{fresh}= \rho_{fresh} V_{fresh} [/tex]

And after convert the volume to m^3 we got:

[tex] m_{fresh}= 1000 \frac{Kg}{m^3} * 2.5x10^{-4} m^3 = 0.25 Kg[/tex]

And we can do a similar procedure for the sea water:

[tex] m_{sea}= \rho_{sea} V_{sea} [/tex]

And after convert the volume to m^3 we got:

[tex] m_{sea}= 1030 \frac{Kg}{m^3} * 1x10^{-4} m^3 = 0.103 Kg[/tex]

And then the density for the mixture would be given by:

[tex] \rho_{mixture}= \frac{m_{fresh} +m_{sea}}{v_{fresh} +v_{sea}}[/tex]

And replacing we got:

[tex] \rho_{mixt}= \frac{0.25 +0.103 Kg}{2.5x10^{-4} m^3 +1x10^{-4} m^3} = 1008.571 \frac{Kg}{m^3}[/tex]

A report about how American college students manage their finances includes data from a survey of college students. Each person in a representative sample of 793 college students was asked if they had one or more credit cards and if so, whether they paid their balance in full each month. There were 500 who paid in full each month. For this sample of 500 students, the sample mean credit card balance was reported to be $825. The sample standard deviation of the credit card balances for these 500 students was not reported, but for purposes of this exercise, suppose that it was $200. Is there convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $905, the value reported for all college students with credit cards

Answers

Answer:

Yes. There is enough evidence to support the claim that college students who pay their credit card balance in full each month have a mean balance that is lower than $905.

Step-by-step explanation:

We want to test the claim that college students who pay their credit card balance in full each month have a mean balance that is lower than $905.

To perform this test we have a sample of 500 students which have paid their balance in full each month. The sample mean is $825 and the estimated sample deviation is considered $200.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=905\\\\H_a:\mu< 905[/tex]

The significance level is 0.05.

The sample has a size n=500.

The sample mean is M=825.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{200}{\sqrt{500}}=8.94[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{825-905}{8.94}=\dfrac{-80}{8.94}=-8.94[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=500-1=499[/tex]

This test is a left-tailed test, with 499 degrees of freedom and t=-8.94, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t<-8.94)=0[/tex]

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that college students who pay their credit card balance in full each month have a mean balance that is lower than $905.

Simplify [tex]4(y+11)2-3y^2[/tex]

Answers

Answer:

[tex]y^2+88y+484[/tex]

Step-by-step explanation:

[tex]4(y+11)^2-3y^2= \\\\4(y^2+22y+121)-3y^2= \\\\4y^2-3y^2+88y+484= \\\\y^2+88y+484[/tex]

Hope this helps!

A spherical gemstone just fits inside a plastic cube with edges 12cm. a) calculate the volume of gemstone, to the nearest cubic centimeter. b) how much empty space is there.

Answers

Answer:

a) (V)  = 904.78 of a sphere = 288pi diameter = 12

(V) = 1728cm^3 of a cube = face diagonal = 16.9cm

b) Difference Volume = 1728-904.78 = 823.22cm^3

 

Step-by-step explanation:

To find volume of an inscribed sphere within a square cube

We use 4 π/3 * r^3 for the equation

As Radius = 6 = 6cm this is the only thing plugged into the equation to create a division first then a multiplication square of radius and then a multiplication. 4pi /3 * 6^3

r^3 = 216

4pi/3 = 4.18

4.18 * 216 = 904.78

This means the answer is 288 pi cm^3.

Answer:

volume of gemstone = 905 cm^3

volume of empty space = 823 cm^3

Step-by-step explanation:

volume of cube = s^3, where s = length of edge

volume of sphere = (4/3)(pi)r^3, where r = radius of sphere

The cube has a 12-cm edge. The sphere fits tightly inside the cube, so the diameter, d, of the sphere is 12 cm. The radius is half the diameter, so radius = r = diameter/2 = 12 cm/2 = 6 cm.

a)

volume of sphere = (4/3)(pi)r^3

volume of sphere = (4/3)(3.14159)(6 cm)^3

volume of sphere = 905 cm^3

b)

The empty space is the difference between the volume of the cube and the volume of the sphere.

volume of cube = s^3

volume of cube = (12 cm)^3

volume of cube = 1728 cm^3

empty space = volume of cube - volume of sphere

empty space = 1728 cm^3 - 905 cm^3

empty space = 823 cm^3

You have 10 shirts 2 of them are black what is the probability of not choosing a black shirt.

Answers

80% or 4/5
Since there are 2 blacks shirts and 10 in total the probability is of not poking a black shirt is 8/10 which when reduced is 4/5

Answer:

80% or 4/5

Step-by-step explanation:

the probability of not choosing a black shirt

P = number of shirts that are not black ÷ total number of shirts

Total number of shirts = 10

Number of black shirts = 2

Number of shirts that are not black = 10-2 = 8

P = 8/10 = 4/5 or 80%

what is an example of a literal question​

Answers

Answer:

an example of a literal question is "what size do you wear", "what time does the show start", "who was the protagonist in your story"  etc

Step-by-step explanation:

Please answer this correctly

Answers

Answer:

  698 cm²

Step-by-step explanation:

The volume is given by ...

  V = LWH

Filling in the given values, we have ...

  1020 = (17)(5)y . . . . . . . using L=17, W=5, H=y

  y = 1020/(17·5) = 12

The surface area is given by ...

  A = 2(LW +H(L+W))

  A = 2(17·5 +12(17+5)) = 2(85 +264) . . . . . . . using L=17, W=5, H=y=12

  A = 698 . . . . square centimeters

Electricity usage data consists of 45 months has a mean number of units consumed is 390.47 per month with a standard deviation of 170.5 units per month. Assume that the number of units consumed are approximately normally distributed. Estimate 95% confidence interval for the average monthly electricity consumed units.

Answers

Answer:

The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 45 - 1 = 44

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0141

The margin of error is:

M = T*s = 2.0141*170.5 = 343.4

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 390.47 - 343.40 = 47.07 units per month

The upper end of the interval is the sample mean added to M. So it is 390.47 + 343.40 = 733.87 units per month

The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87

Jeff rear-ended a car on his way to work and damaged his vehicle. He drove his car to the local body shop for an
estimate of the cost to repair his car. Jeff has a $500 deductible. The local body shop provided an estimate of $3725,
How much will Jeff have to pay?

A $3225
B $3725
C $4225
D $500

Answers

Answer:

A $3225

Step-by-step explanation:

Total = $3725

Dectuable = Able to be deducted

$3725 - $500 = $3225

Aakash has a liability of 6000 due in four years. This liability will be met with payments of A in two years and B in six years. Aakash is employing a full immunization strategy using an annual effective interest rate of 5%.Calculate |A-B|

Answers

Answer:

|A-B|= 586.411565

Step-by-step explanation:

  We know that = Liability

[tex]PLiability= \frac{6000}{1.05^{4} }[/tex]

[tex]\frac{6000}{1.05^{4} }=\frac{A}{1.05^{2} }+\frac{B}{1.05^{6} }\\\\6000(1.05^{2} ) = (1.05^{4} ) +B\\B= 6000(1.05^{2} )-(1.05^{4} )----------(1)\\\\[/tex]

dAssets =dLiability

[tex]4=2*\frac{\frac{A}{1.05^2} }{\frac{6000}{1.05^4} } +6*\frac{\frac{B}{1.05^6} }{\frac{6000}{1.05^4} } \\4={\frac{6000}{1.05^4}= 2*\frac{A}{1.05^2} +6*\frac{B}{1.05^6}\\\\4[6000(1.05^2)]= 2*A(1.05^4)+6*B[/tex]

From equation 1 we have

[tex]4[6000(1.05^2)]= 2*A(1.05^4)+6*6000(1.05^2)-6*A(1.05^4)\\4*A(1.05^4)=2*6000(1.05^2)\\A=\frac{2*6000(1.05^2)}{4*(1.05^4)} \\A=272.088435\\[/tex]

Going back to equation 1 we have

[tex]B= 6000(1.05^2)-A(1.05^4)\\B= 3307.5\\|A-B|= |2721.088435-3307.5|= 586.411565[/tex]

Other Questions
A state end-of-grade exam in American History is a multiple-choice test that has 50 questions with 4 answer choices for each question. A student must get at least 25 correct to pass the test, and the questions are very difficult. Question 1. If a student guesses on every question, what is the probability the student will pass The answer ;)))))))) Use the quadratic formula to find both solutions to the quadratic equation given below. 2x^2+3x-5=0 which element causes burning when me mix it with oxygen Isabella files her income tax return 35 days after the due date of the return without obtaining an extension from the IRS. Along with the return, she remits a check for $40,000, which is the balance of the tax she owes.Note: Assume 30 days in a month.Disregarding the interest element, enter Isabella's failure to file penalty and and failure to pay penalty. Which level of organization is best represented by the liver? (Completa con el verbo querer y preferir ) Camarero: - Si, seor? Qu _______ ustedes para beber? Alberto: Nosotros_______ un zumo de naranja, un cafe cortado y una limonada. Cuanto_______ ? Which statement accurately describes a long-term cost of the Atlantic slavetrade? TIMED PLEASE HELP When f = 2 and g = 8, n = 4. If n varies jointly with f and g, what is the constant of variation?1/41/2464 Tanner-UNF Corporation acquired as a long-term investment $240 million of 6% bonds, dated July 1, on July 1, 2016. Company management has the positive intent and ability to hold the bonds until maturity. The market interest rate (yield) was 8% for bonds of similar risk and maturity. Tanner-UNF paid $200 million for the bonds. The company will receive interest semiannually on June 30 and December 31. As a result of changing market conditions, the fair value of the bonds at December 31, 2016 was $210 million. Required: 1. Prepare the journal entry to record Tanner-UNFs investment in the bonds on July 1, 2016. 2. Prepare the journal entry by Tanner-UNF to record interest on December 31, 2016, at the effective (market) rate. 3. At what amount will Tanner-UNF report its investment in the December 31, 2016, balance sheet? Why? 4. Suppose Moodys bond rating agency downgraded the risk rating of the bonds motivating Tanner-UNF to sell the investment on January 2, 2017, for $190 million. Prepare the journal entry to record the sale. Explain the Domino Theory, Why was the U.S. government so afraid of countries turning communist? Captain Jessica has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Michael and his merciless band of thieves.The Captain has probability \dfrac{1}{2} 21 start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability \dfrac{1}{6} 61 start fraction, 1, divided by, 6, end fraction.If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships? 55 Point MULTIPLE CHOICE / Will Impact On Other Homeschoolers / Will Mark BrainliestDrag each tile to the correct box.In which order do the events occur?Alice follows the White Rabbitdown the passage into a large room.Alice finds a small door behinda curtain which she unlocks, but itis too small for her to fit inside.Alice finds a bottle which says"Drink Me," but reads it carefullybefore deciding to take any action.Alice cannot unlock the doors in thepassage with the key, so she soshe searches for another way out.===========Passage in image below Which best summarizes Fortunato's motivation in the story?A. He wants to try Montresor's bottle of Amontillado.B. He wants Montresor to apologize for lying to him earlier.C. He wants to trick Montresor into embarrassing himself.D. He wants Montresor to forgive him for an upsetting insult. Pls Halp...Rewrite the expression as a sum of terms, where each term is in the form k*a^n.sqrt( a ) ( 2a^2 - 4/a ) A box contains 4 black pens and 2 red pens. One pen is chosen at random, and then another pen is chosen at random without replacement. What is the probability a black pen was chosen, and then another black pen? * Ms. Lawrence baked exactly 1 inch diameter cookies as shown below, howmuch space left on cookie tray, if the tray's dimensions are 7 inches by 3inches? Create a Python program that: Allows the user to enter a person's first name and last name. The user should be able to enter as many names as they desire. Create a function that takes the first name and last name, puts them together with the last name first, followed by the first name; with the names separated by commas. Take the result from the function, and place the resulting name in a list. Once the user finishes entering names, sort the contents of the list. Write the sorted names from a list into a text file. When you create the text file, allow the user to enter a name for the file to be created. After you finish writing names to the file, close the file and end the program. review the types of elements that create ionic bonds aswell as the types of elements that create covalent bonds. N2 CCl4 SiO2 AlCl3 CaCl2 LiBr Macro-economiscs college level .