Ismail has 44 sweets more than Johan. If the number of sweets Johan has is of the
7/11 of the number of sweets Ismail has, how many sweets do they have altogether?​

Answers

Answer 1

Answer:

121

Step-by-step explanation:

Find out the amount of units Ismail have more than Johan.

11 - 7 = 4 units

Since Ismail has 44 more sweets than Johan and 4 more units..

4 units = 44

1 units = 44 ÷ 4 = 11

Altogether, there's 11 units.

11 units = 11 x 11 = 121


Related Questions

Peter set off from Town A at 10 am, driving at an average speed of 84 km/h. He reached
Town B at 2 pm. If William set off 1 hour 25 minutes earlier than Peter and took the
same route at an average speed of 70 km/h, at what time would William reach Town B?

Answers

Peter left Town A around 10 a.m., traveling at an average speed of 84 km/h. William would reach Town B at 1:23 PM.

Firstly, we need to find the distance between Town A and Town B which can be calculated by calculating the distance travelled by Peter

Time taken by Peter = 2PM - 10AM

= 4 hrs

Speed of Peter = 84 km/h

Distance travelled by Peter = speed × time

= 84 × 4

= 336 km

So, the distance between Town A and Town B  = distance travelled by Peter = 336 km.

Now, we will calculate time taken by William.

Speed of William = 70 km / hr

Distance travelled by William = distance between Town A and town B = 336 km

Time taken by William = distance / speed

= 336 / 70 hr

= 4.8 hr

This can b converted into hrs and minutes

4.8 hr = 4 hr + 0.8 × 60

= 4 hr 48 mins

Time William took off = 10 AM - 1hr 25 mins

= 8:35 AM

Now, we will calculate the time William would reach town B.

Time = 8:35 + 4hr 48 mins

= 1:23 PM

To know more about speed:

https://brainly.com/question/31756299

#SPJ1

In a class of 26 students, 15 play an instrument and 5 play a sport. There are 3 students who play an instrument and also play a sport. What is the probability that a student chosen randomly from the class plays a sport and an instrument?

Answers

Answer:

3:26

Step-by-step explanation:

.

879 divided by 8 with remainder as fraction

Answers

in mixed number form 109 7/8
in decimal form 109.875

XZ.P Point P(-7, 2) is mapped onto P¹ (3, -11) by the reflection y=mx+c. find the values of the constants m and c.​

Answers

The values of the constants m and c include the following:

m = -1.3

c = 7.1

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.

Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;

2 = -7m + c    ...equation 1.

-11 = 3m + c    ...equation 2.

By solving the system of equations simultaneously, we have:

2 = -7m - 3m - 11

11 + 2 = -10m

13 = -10m

m = -1.3

c = 7m + 2

c = 7(-1.3) + 2

c = -7.1

Read more on slope-intercept here: brainly.com/question/7889446

#SPJ1

Find the 15th term of the geometric sequence 2,6,18,...

Answers

Answer:

In a geometric sequence, each term is found by multiplying the previous term by a constant value called the common ratio (r).

In this case, the first term (a₁) is 2, and the common ratio (r) can be found by dividing any term by its preceding term. Let's calculate it:

r = 6 / 2 = 3

Now, to find the 15th term (a₅₊₁₋₅), we can use the formula:

aₙ = a₁ * r^(n-1)

Substituting the values, we have:

a₁ = 2

r = 3

n = 15

a₁₅ = 2 * 3^(15-1)

Calculating the exponent first:

3^(15-1) = 3^14 = 4782969

Now, substituting this value back into the formula:

a₁₅ = 2 * 4782969

a₁₅ = 9565938

Therefore, the 15th term of the geometric sequence 2, 6, 18, ... is 9565938.

Step-by-step explanation:

Help My Daughter we not understanding?

Answers

Representation of a number in three different ways:

133: [12 tens and 13 ones], [13 tens and 3 ones], [1 hundred, 3 tens and 3 ones]

678: [67 tens and 8 ones], [60 tens and 78 ones], [6 hundreds, 7 tens and 8 ones]

877: [80 tens and 77 ones], [87 tens and 7 ones], [8 hundred, 7 tens and 7 ones]

543: [54 tens and 3 ones], [50 tens and 43 ones], [5 hundreds, 4 tens and 3 ones]

453: [45 tens and 3 ones], [40 tens and 53 ones], [4 hundreds, 5 tens and 3 ones]

341: [30 tens and 41 ones], [34 tens and one], [3 hundreds,4 tens and one]

555: [50 tens and 55 ones], [55 tens and 5 ones], [5 hundreds, 5 tens and 5 ones]

485: [48 tens and 5 ones], [40 tens and 85 ones], [4 hundreds, 8 tens and 5 ones]

789: [78 tens and 9 ones], [70 tens and 89 ones], [7hundreds, 8 tens and 9 ones]

864: [86 tens and 4 ones], [80 tens and 64 ones], [8 hundreds, 6 tens and 4 ones]

652: [65 tens and 2 ones], [60 tens and 52 ones], [6hundreds, 5 tens and 2 ones]

Here given an example to write a particular number in different representations.

13 tens and 12 ones = 13*10 + 12*1 = 130 + 12 = 142.

14 tens and 2 ones = 14*10 + 2*1 = 140 + 2 = 142.

1 hundred, 4 tens and 2 ones = 1*100 + 4*10 + 2*1 = 100 + 40 + 2 = 142.

So three representations are of number 142.

Rest blanks should be filled in same manner taking different numbers for each rows and three columns of each row should be filled with three different representation of that assumed numbers.

Representations for some numbers:

133: [12 tens and 13 ones], [13 tens and 3 ones], [1 hundred, 3 tens and 3 ones]

678: [67 tens and 8 ones], [60 tens and 78 ones], [6 hundreds, 7 tens and 8 ones]

877: [80 tens and 77 ones], [87 tens and 7 ones], [8 hundred, 7 tens and 7 ones]

543: [54 tens and 3 ones], [50 tens and 43 ones], [5 hundreds, 4 tens and 3 ones]

453: [45 tens and 3 ones], [40 tens and 53 ones], [4 hundreds, 5 tens and 3 ones]

341: [30 tens and 41 ones], [34 tens and one], [3 hundreds,4 tens and one]

555: [50 tens and 55 ones], [55 tens and 5 ones], [5 hundreds, 5 tens and 5 ones]

485: [48 tens and 5 ones], [40 tens and 85 ones], [4 hundreds, 8 tens and 5 ones]

789: [78 tens and 9 ones], [70 tens and 89 ones], [7hundreds, 8 tens and 9 ones]

864: [86 tens and 4 ones], [80 tens and 64 ones], [8 hundreds, 6 tens and 4 ones]

652: [65 tens and 2 ones], [60 tens and 52 ones], [6hundreds, 5 tens and 2 ones]

To know more about numbers here

https://brainly.com/question/30284303

#SPJ1

if gender would not have mattered, what would have been the number of males that would have survived, given the data for the number of females who survived (296/402) and the total number of passengers on the ship (1207).

Answers

If gender did not matter then the number of males who would have survived would be 593 males

How to find the number who would have survived ?

If gender would not have mattered, the survival rate would be the same for both genders. So, we would use the survival rate of females (which is 296/402) to calculate the expected number of males that would have survived.

First, calculate the survival rate of the females:

Survival rate = Number of females who survived / Total number of females

= 296 / 402

= 0.737

Expected number of male survivors = Number of males * Female survival rate

= 805 x 0.737

= 593 males

Find out more on survival rates at https://brainly.com/question/30894892

#SPJ1

Need help on please

Answers

Answer:

12

Step-by-step explanation:

The figure is a right triangle with hypotenuse = QS

The  base from the graph = 4 units
(or you can just subtract the x-coordinates 2 - (-2) = 4)

The height from the graph is 3 units
(Or you can subtract the y-coordinates: 1 - (-2) = 3)

Since this is a right triangle the square of the hypotenuse = sum of squares of the other two sides

QS² = 3² + 4² = 9 + 16 = 25

QS, the hypotenuse = √25 = 5

The perimeter = sum of the sides = 3 + 4 + 5 = 12 units

Roughly how much more does auto insurance cost for a 16 year old compared to a middle aged (40-50 year old) driver

Answers

A 16-year-old on their own policy pays on average $4,000 more per year than a 50-year-old would have to pay

The cost of insurance

Auto insurance costs vary significantly depending on factors such as location, vehicle type, and driving history. However, on average, a 16-year-old driver can expect to pay significantly more for auto insurance compared to a middle-aged driver (40-50 years old).

The exact amount varies, but it's not uncommon for a 16-year-old driver to pay two to three times more for auto insurance than a middle-aged driver. This is mainly because younger drivers are considered riskier due to their inexperience and higher likelihood of being involved in accidents.

Read more on insurance here:https://brainly.com/question/25855858

#SPJ1

Can someone pls explain

Answers

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.

What is the Pythagorean Theorem?

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

Real World Scenario: Sara and Kim are both three years old. Both have recently talked to their parents about doing chores around the house to earn some money. Both Sara and Kim's parents have agreed to start giving them a constant allowance every week. Sara currently has $1 in her piggy bank. Her parents have agreed to give her $.60 per week for doing her chores. Kim currently has $2.20 in her piggy bank. Her parents have greed to give her $.20 per week for doing her chores.

What equation and graph help support scenario?

Answers

The equation that represents the amount of money in Sara's piggy bank is y = 0.6x + 1 and the equation that represents the amount of money in Kim's piggy bank is y = 0.2x + 2.2.

The equation that represents the amount of money in Sara's piggy bank over time can be written as

Y = 0.6x + 1

Where Y represents the total amount of money in Sara's piggy bank and x represents the number of weeks.

Similarly, the equation that represents the amount of money in Kim's piggy bank over time can be written as

Y = 0.2x + 2.2

Where Y represents the total amount of money in Kim's piggy bank and x represents the number of weeks.

To visualize these equations, we can create a graph where the x-axis represents the number of weeks and the y-axis represents the amount of money in the piggy bank. We can plot the points for each week and draw a line connecting them. The resulting graph will show the trend of the amount of money in each piggy bank over time.

Here is a graph that represents the scenario

In the graph, the red line represents the amount of money in Sara's piggy bank and the blue line represents the amount of money in Kim's piggy bank. As we can see, Sara's piggy bank grows faster than Kim's piggy bank due to the higher allowance she receives for doing her chores.

To Know more about Equations here

https://brainly.com/question/10413253

#SPJ1

Question 1b Identify the amount in this statement. 6 is 30% of 20. The amount = The solution is

Answers

The amount in this statement, 6 is 30% of 20 is 6.

The amount in the statement "6 is 30% of 20" is 6.

This statement means that if we take 30% of 20, we get 6.

In other words, the amount 6 is 30% of 20.

We can also verify this by calculating 30% of 20:

30% of 20

= (30/100) × 20

= 0.3 × 20

= 6

Hence,  the amount in this statement is 6.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ1

A natural food company produces and sells organic almond milk for $9.00 per gallon. This company
estimates its fixed costs to be 1121 dollars per month and the variable cost to produce each gallon of
almond milk is $7.50.
What is the margin of profit if 1494 gallons of almond milk are produced and sold each month?
A Select an answer of $

Answers

Okay, here are the steps to solve this problem:

Fixed costs per month: $1121

Variable cost per gallon: $7.50

Selling price per gallon: $9.00

Monthly sales (gallons): 1494

Cost of goods sold = Variable cost per gallon * Monthly sales

= $7.50 * 1494 gallons

= $11,105

Gross margin = Revenue - Cost of goods sold

= $9 * 1494 gallons

= $13,446

- $11,105 (Cost of goods sold)

= $2,341

Margin of profit = Gross margin - Fixed costs

= $2,341 - $1121

= $1,220

So the margin of profit if 1494 gallons are produced and sold each month is $1,220.

The answer is:

B $1,220

Tommy and Ruth are cycling to meet each other. Tommy cycles twice as fast as Ruth and they both set off at the same time. At which coordinate will they meet?

Answers

Tommy and Ruth will meet at a coordinate that is 0.5x km away from Ruth's starting point.

In this problem, Tommy and Ruth are cycling towards each other. We are given that Tommy cycles twice as fast as Ruth and they both start cycling at the same time. Our goal is to determine at which coordinate they will meet.

To solve this problem, we need to use the concept of distance, speed, and time. Let's assume that Ruth cycles at a speed of "x" km/hr. Since Tommy cycles twice as fast as Ruth, his speed will be "2x" km/hr.

Let's say that Tommy and Ruth meet at a distance of "d" km from Ruth's starting point. Now, let's calculate the time taken by both Tommy and Ruth to reach this point.

Time taken by Ruth = Distance/Speed = d/x

Time taken by Tommy = Distance/Speed = d/2x

Since they both start cycling at the same time, we can set these two equations equal to each other:

d/x = d/2x

We can then simplify this equation by multiplying both sides by 2x:

2d/x = d

Now we can solve for "d" by multiplying both sides by "x":

2d = dx

d = 0.5x

This means that Tommy and Ruth will meet at a coordinate that is 0.5x km away from Ruth's starting point. To determine the exact coordinates, we need to know where Ruth started cycling from and in which direction they are cycling. If we assume that Ruth started cycling from the origin (0,0) and they are cycling towards each other on a straight path, then they will meet at the coordinate (0.5x, 0).

To know more about Coordinate here

https://brainly.com/question/27749090

#SPJ1

someone please answer this its confusing me

Answers

24. opposite sides of a parallelogram are always congruent

the line AB will be congruent to line DC so 8t + 7 = 9t - 2 which gives you t = 9

line AD will also be congruent to line BC so 4s + 1 = 2s + 25 which gives you s = 12

Mario was given the following enlargement.

A figure with top measurement A and side measurement 6 centimeters. Side A corresponds to a side with length 24 centimeters. A side with length 6 centimeters corresponds with a side with length 12 centimeters.
Figures not drawn to scale.

What is the length of side A, in centimeters?
12
15
24
33

Answers

The length of side A, in centimeters is 12. Option A

How to determine the value

To determine the value, we need to know that;

When two sides of a figure are equal in length, that is in (measure).

For example in a square all sides are equal in length so they're all corresponding measurements.

From the information given, we have that;

Side A corresponds to 24 cm

Length 6 cm corresponds to Length 12 cm

The given parameters can be represented mathematically as;

A/24 = 6/12

cross multiply the values, we have;

12A = 6(24)

Multiply the values

12A = 144

Divide by the coefficient, we have;

A = 12 centimeters

Learn more about measurements at: https://brainly.com/question/27233632

#SPJ1

The correct answer is, A (aka 12)

There are 5,144 blocks to be placed
evenly into 8 storage containers. How
many blocks are in each storage
container?

Answers

Divide the total number of blocks by the total number of storage containers.

5144/8 = 643 blocks in each storage container.

An object in the shape of a rectangular prism has a length of 9 inches, a width of 5 inches, and a height of 4 inches. The object's density is 11.1 grams per cubic centimeter. Find the mass of the object to the nearest gram.

Answers

Answer:

32.741 kg

---------------------------

Mass is the product of the volume and density and the volume of the rectangular prism is the product of its three dimensions.

Find the volume first:

V = 9*5*4 = 180 in³

Convert volume to cm³, taking 2.54 cm per in:

180*(2.54)³ = 2949.67152 cm³

Find the mass:

Mass = 11.1*2949.67152 = 32741.353872 g ≈ 32.741 kg (rounded)

i need the answer for this asap Please!

Answers

The system of inequalities for the graph is

a) y < 3x - 4

b) y = x + 3

Given data ,

Let the inequality equations be represented as A and B

where

Let the first point be P ( 0 , 3 )

Let the second point be Q ( -3 , 0 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 3 - 0 ) / ( 0 + 3 )

m = 1

Now , equation of line is y - y₁ = m ( x - x₁ )

y - 0 = 1 ( x + 3 )

y = x + 3

And , the second equation is

Let the first point be R ( 0 , -4 )

Let the second point be S ( 2 , 2 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( -4 - 2 ) / ( 0 - 2 )

m = -6/-2

m = 3

Now , equation of line is y - y₁ = m ( x - x₁ )

y - 2 = 3 ( x - 2 )

Adding 2 on both sides , we get

y = 3x - 4

Since , it is a dotted line ,

y < 3x - 4

And , the solution to the inequality is point of intersection

where A ( 3.5 , 6.5 ) is the solution

Hence , the inequality equations are solved and A ( 3.5 , 6.5 ) is the solution

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ1

On the map, the grocery store is 2 inches away from the library. The actual distance is 1.5 miles. The same map shows that the movie theater is 20 inches from the school.

What is the actual distance from the movie theater to the school, rounded to the nearest mile?

A: 15
B:27
C:30
D:60

Answers

The actual distance from the movie theater to the school is given as follows:

A. 15 miles.

How to calculate the actual distance?

The actual distance from the movie theater to the school is obtained applying the proportions in the context of the problem.

On the map, the grocery store is 2 inches away from the library. The actual distance is 1.5 miles, hence the scale factor is of:

2 inches = 1.5 miles

1 inch = 0.75 miles.

The same map shows that the movie theater is 20 inches from the school, hence the actual distance is given as follows:

20 x 0.75 = 15 miles.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Find the range of the number of points scored.
Range: – =

answer is 56, 41, 15

Answers

It would be 15, 41, 56
This is because I believe it is from smallest to biggest

If ARSU-AVST, then the triangles are
similar by:

Answers

Answer:

AA sim post

Step-by-step explanation:

They DO have equal (similar) angles.....but they do not have equal sides

what is the resultant displacement of 6m north 8m east and 10m north west?​

Answers

The resultant displacement is approximately 13.071m north and 8m east.

To find the resultant displacement, we need to combine the given displacements in a vector-like manner.

Let's break down the displacements into their components and then add them up.

The first displacement is 6m north.

Since it is purely in the north direction, its components would be 6m in the north direction (along the y-axis) and 0m in the east direction (along the x-axis).

The second displacement is 8m east.

As it is purely in the east direction, its components would be 0m in the north direction and 8m in the east direction.

The third displacement is 10m northwest.

To find its components, we can split it into two perpendicular directions: north and west.

The northwest direction can be thought of as the combination of north and west, each with a magnitude of 10m.

Since they are perpendicular, we can use the Pythagorean theorem to find the components.

The north component would be 10m multiplied by the cosine of 45 degrees (45 degrees because northwest is halfway between north and west).

Similarly, the west component would be 10m multiplied by the sine of 45 degrees.

Calculating the components:

North component = 10m [tex]\times[/tex] cos(45°) = 10m [tex]\times[/tex] 0.7071 ≈ 7.071m

West component = 10m [tex]\times[/tex] sin(45°) = 10m [tex]\times[/tex] 0.7071 ≈ 7.071m

Now, let's add up the components:

North component: 6m (from the first displacement) + 7.071m (from the third displacement) = 13.071m north

East component: 8m (from the second displacement).

For similar question on resultant displacement.

https://brainly.com/question/13309193

#SPJ8

what do you add to get the pattern 1, 8, 15, 22, 29 36, 43​

Answers

every time 7 is added (+7)

Answer:

7

Step-by-step explanation:

Finding the common difference of an arithmetic sequence is easy peasy lemon squeezy. All you have to do is take any term and subtract it from the next one. For instance, if you take 1 and subtract it from 8, you get 7. If you take 8 and subtract it from 15, you get 7 again. You can do this for any pair of terms and you will always get 7. That's the common difference of the sequence 1, 8, 15, 22, 29, 36, 43. It means that you just add 7 to each term to get the next one. Isn't that neat?

i dont know the answer to this

Answers

combine like terms. D) 2x+7

Need help asap, please and thank you

Answers

If the population in the year 2007 is 111.3 million, then the population in the year 2044 will be 148.37 million.

In order to find the population in the year 2044, we use the population growth formula; which is : P = P₀ × (1 + r)ⁿ;

where P = future population, P₀ = initial population, r = annual growth rate, and n = number of years;

Substituting the values,

We get;

⇒ P = (111.3 million) × (1 + 0.0078)²⁰⁴⁴⁻²⁰⁰⁷;

Simplifying this expression,

We get;

⇒ P = (111.3 million) × (1.0078)³⁷;

⇒ P ≈ 148.37 million;

Therefore, the population in the year 2044 is estimated to be approximately 148.37 million.

Learn more about Growth Rate here

https://brainly.com/question/29203229

#SPJ1

HELP PLEASE PHOTO INCLUDED

Answers

Answer:

Eat that cookie and you will not regret about it

1.
A 50 foot rope is stretched tight from the roof of a building to a spot 20 feet from the base of the
building. How tall is the building? Round your answer to TWO decimal places.

Answers

The required height of the building is approximately 45.82 feet.

Given that, a 50-foot rope is stretched from a building's top to a point 20 feet from the building's base.

We can use the Pythagorean theorem to solve the question.

Let h be the height of the building.

Pythagoras's theorem states that in a right-angled triangle, "the square of one side is equal to the sum of the squares of the other two sides".

Then, we have:

h² + 20² = 50²

Simplifying and solving for h, we get:

h² = 50² - 20²

h² = 2500 - 400

h² = 2100

h = √(2100)

h ≈ 45.82

Therefore, the height of the building is approximately 45.82 feet.

Learn more about Pythagoras's theorem here:

brainly.com/question/343682

#SPJ1

If r = 5 units and x = 11units then what is the volume if the cylinder shown above

Answers

The volume of cylinder which is having radius as 5 units and height as 11 units, is 863.5 cubic units.

A "Cylinder" is a 3-dimensional geometric shape that consists of a circular base and a curved surface which extends up from base to fixed height.

The volume(V) of a cylinder is the amount of space enclosed by the cylinder, and it is given by the formula : V = πr²h;, where π is = 3.14, "r" denotes radius of base; "h" denotes the height;

Given that the radius is 5 units and the height is 11 units,

Substituting the values,

We get,

V = π × (5)² × (11);

V = 275π cubic units;

V = 275×3.14 = 863.5 cubic units;

Therefore, the required volume is = 863.5 cubic units.

Learn more about Volume here

https://brainly.com/question/27033747

#SPJ1

The given question is incomplete, the complete question is

If radius is 5 units, and height is 11 units, Find the Volume of the Cylinder.

more equation things

Answers

For the given linear equation y = (1/4)*x + 5/4.

(1, 1.5) is a solution.(12, 4) is not a solution.The x-intercept is  (-16/5, 0).

Are these points solutions of the linear equation?

Here we have the linear equation:

y = (1/4)*x + 5/4.

to check if (1, 1.5) is a solution we need to evaluate this in x = 1 and see if we get 1.5.

y = (1/4)*1 + 5/4

y = 6/4 = 3/2 = 1.5

Then (1, 1.5) is a solution.

For the second point we evaluate in x = 12.

y = (1/4)*12 + 5/4

y = 3 + 5/4 = 4.25

So (12, 4) is not a solution.

Finally, to find the x-intercept, we evaluate in y = 0.

0 = (1/4)*x + 5/4

-4/5 = (1/4)*x

4*(-4/5) = x

-16/5 = x

The x-intercept is (-16/5, 0).

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Other Questions
your liabilities consist of a payment of $7 million coming due in one year and a payment of $5 million coming due in two years. the market interest rate is 2%. what are the duration and convexity of your liabilities? group of answer choices 1.4119 and 2.2356 1.2731 and 1.6548 1.8372 and 2.9746 1.6372 and 2.7947 Consider the following cash flows:Year Cash Flow2 $22,000 3 40,000 5 58,000 Assume an interest rate of 8.8 percent per year. If today is Year 0, what is the future value of the cash flows five years from now? T/F random numbers generated by a physical process instead of a mathematical process are pseudorandom numbers. By 1825, textile mills using power looms (both steam and water) were operating in New England. The earliest and most famous of these in Lowell at firstA) used primarily immigrant labor - men experienced with the machinery in the mills in England.B) used local farm boys trying to earn enough to settle in the West.C) used young unmarried farm women, carefully supervised, who had a chance to earn money for their dowries.D) all of the above are true. calculate the time delay when timer0 is loaded with the count of 676bh, the instruction cycle is 0.1 s, (microseconds) and the prescaler value is 128. A clinical assessment will likely include all of the following components EXCEPTO a structured interview.O behavioral observation.O a brain scan.O an initial diagnosis. Which is a stronger base? a. CH3CHCO or CH3CHCC BrCH2CH2CO or CH3CH2CO c. b. CH3CHCH2CO or CH,CH2CHCO d. CH3CCH2CH20 or CH,CH2CCH2O Cl Cl People's personal convictions about what end states one should expect from work and how one should behave at work constitute ________.A) work attitudesB) work moodsC) work behaviorsD) work values which of the curves in the figure represents an isothermal process? ________ involves combining two or more systems of transportation to move products.A) Vertical transportationB) DisintermediationC) Just-in-time managementD) Vertical integrationE) Multimodal transportation i need a answer for my homework that is due tomorrow making exercise a group routine can distract you from your personal goals. true false Why is high availability a requirement in todays network designs, and what mechanisms can help provide that high availability? the amount of air that remains in the lungs simply to keep them open is called the: as a water wave approaches a shoreline, wave speed decreases. A. and wavelength increase. B. is unchanged. C. increases. what are tides? what are tides? the regular daily rises and falls in sea level caused by the gravitational attraction of the moon on earth the regular daily rises and falls in sea level caused by the gravitational attraction of the moon and sun on earth the regular weekly rises and falls in sea level caused by the gravitational attraction of the moon on earth the regular weekly rises and falls in sea level caused by the gravitational attraction of the moon and sun on earth the regular daily rises and falls in sea level caused by the gravitational attraction of the sun on earth true or false: containers are used just like virtual machines. group of answer choices true false PLS HELP REALLY NEED HELP!!!!!!!!!!!!!!! what is the angle between a support force and the surface on object rests upon Solve the following equation: begin mathsize 12px style 5 straight a minus fraction numerator straight a plus 2 over denominator 2 end fraction minus fraction numerator 2 straight a minus 1 over denominator 3 end fraction plus 1 space equals space 3 straight a plus 7 end style