equivalent expression for 8x + 15

The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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Answer:

depends on how much she pays per month, anywhere from $16.67-$583,179.69

Answer:

After investing for 3 years at 7% interest, your $600 investment will have grown to $735.03

The human head weighs 160 ounces which is equivalent to 100/22 kilograms

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

1 pound = 16 ounces

Hence:

160 ounces = 160 ounces * 1 pound per 16 ounces = 10 pounds.

1 kilogram = 2.2 pounds

Hence:

10 pounds = 10 pounds * 1 kilogram per 2.2 pounds = 100/22 kilograms

The human head weighs 160 ounces which is equivalent to 100/22 kilograms

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The following expression (-3/5)x-7-(-12)+(3/10)x can be written in the simplest form as -3/10x+5( three over 10 times x plus 5). So, option c is correct.

An expression or mathematical expression is a finite arrangement of symbols that are well-formed in line with context-dependent criteria. To help define the logical grammar and order of operations, mathematical symbols can be used to represent variables, operations, functions, brackets, punctuation, and grouping. A sentence qualifies as a mathematical expression if it comprises one or more mathematical operations, at least two numbers, or variables. Mathematicians have the ability to multiply, divide, add, and subtract. The following is the structure of an expression: Expression, number/variable, and mathematical operator.

(-3/5)x-7-(-12)+(3/10)x

-3/5x-7+12+3/10x

-6/10x-7+12+3/10x

-3/10x+5

Three over 10 times x plus 5

Therefore, the following expression (-3/5)x-7-(-12)+(3/10)x can be written in the simplest form as -3/10x+5( three over 10 times x plus 5).

Hence, option c is correct.

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Answer: you would get 6 games and 2 books

Step-by-step explanation:

Answer:

5x² + 2a

Step-by-step explanation:

Given :

40x4a² + 16x²a³

Simplifying by given HCF :

Answer:

y - 2 = (-3/13)(x-(-6))

or

y - (-1) = (-3/13)(x-7)

Step-by-step explanation:

point slope form is y - y1 = m(x - x1)

slope is m = (y2 -y1)/(x2-x1) =  (-1 - 2)/(7 - (-6)) = -3/13

y - 2 = (-3/13)(x-(-6))

or

y - (-1) = (-3/13)(x-7)

Answer:

  b = 30

Step-by-step explanation:

You want the value of b given line y = 20x +b passes through the points (6, 150) and (11, 250).

The equation y = 20x +b can be solved for b:

  b = y -20x . . . . . . . . subtract 20x

Using the given point (x, y) = (6, 150), you have ...

  b = 150 -20(6) = 150 -120

  b = 30

the probability of rolling 4 or a number less than 6 is P = 5/6

The standard number cube has the outcomes {1, 2, 3, 4, 5, 6}

We want to find the probability of rolling 4 or a number less than 6. (4 is a number less than 6).

The outcomes that meet that condition are:

{1, 2, 3, 4, 5}

So 5 out of 6 outcomes meet the condition, then the probability is:

P(4 or less than 6) = 5/6

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The volume of the composite figure in this problem is given as follows:

76 ft³.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

Hence the volume is given as follows:

2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.

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Answer:

option 3

hope youre online exam will be easy

Step-by-step explanation:

The equation with variables on the both sides that would have one solution is 7x+2 =5x+10

The given condition is "The equation with variables on both sides that would have one solution"

A linear equation in one variable is the equation that has one variable of order one. The general form of the equation is ax+b =0

Where a and b are the integers and x is the variable

The equation with variables on the both sides that would have one solution is 7x+2 = 5x+10

Solve the equation

7x+2 =5x+10

Move the 5x to the left hand side and 2 to the right hand side of the equation

7x-5x = 10-2

Subtract it

2x =8

Move the 2 to right hand side

x =8/2

x = 4

Hence, the equation with variables on the both sides that would have one solution is 7x+2 =5x+10

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Answer:

7 1/8

Step-by-step explanation:

1 1/8 + 1 1/8 is 2 2/8

2 2/8 + 4 7/8 is 6 9/8 = 7 1/8

Answer:

C;  11 1/4 feet

Step-by-step explanation:

4.5 x 2.5

Answer:

4/3/2/7-8= -7

Step-by-step explanation:

25 must be added to the function in order to begin writing the function in vertex form.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.

Given:

f(x) = x² - 10x - 4

Compare the above function with

f(x) = ax² + bx + c

So, the values are a= 1, b= -10 and c= -4.

As, In order to get the vertex form we must add and subtract

(b/2)² = (-10/2)²

         = (-5)²

         = 25

So, It implies that in order to start expressing the function in vertex form, 25 must be added to it.

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No, the relationship on the table is not proportional

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

x   y

____ ____

6 -2

7 -1

8 0

9  1

On the table of values, we can see that:

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

The relationship is not a proportional relationship

This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)

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A proportion is a mathematical comparison between two ratios.

A ratio is a comparison between two numbers.

For instance, the ratio of apples to bananas in a fruit basket is 1 apple to 2 bananas:

This is proportional to the ratio of apples to bananas in another fruit basket, which is 2 apples to 4 bananas:

To write a proportion from this information, we can compare the ratios by makign them equal to each other:

We're given:

$118 per week is one ratio:

$472 per 4 weeks is another ratio:

Now, set them equal to each other to create a proportion:

Therefore, the proportion is \(\dfrac{118}{1}=\dfrac{472}{4}\).

Answer:

A

Step-by-step explanation:

(2x-3)=4x, x=-3/2 which isn't possible as x>3/2

-(2x-3)=4x, x=1/2.

Hence the answer is x=1/2

Answer:

2 0 4 3 1.

Step-by-step explanation:

u mean 10 points

She would have made $72

Each cup of lemonade is $3, so 3x24 is 72. Or you could just do 6x12, it's all the same.

Answer:

×=-11

Step-by-step explanation:

3x+21=-12

3×=-33

×=-11

Answer:

x=-11

x+7=-4

Step-by-step explanation:

3(x+7)=-12

3x+21=-12

3x=-12-21

3x=-33

x=-33/3

x=-11

-11+7=-4

Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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Answer:

a) 120

b) 6

c) 1/20

Step-by-step explanation:

a) 5! = 120

b) (5 - 2)! = 6

c) 6/120 = 1/20

Answer:

2 7/24

Step-by-step explanation:

Answer:

Step-by-step explanation: 6

The amount of the sale of the home is $2090181.82

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

Commission = 5.5% on the sale of a home

Also, we have

Commission  = 114960

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

5.5% on the sale of a home = 114960

So, we have

5.5% * sale of a home = 114960

Divide both sides by 5.5%

sale of a home = 114960/(5.5%)

Evaluate

sale of a home = 2090181.82

Hence, the sale of the home is $2090181.82

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Answer:

C- 100 values

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

118-17+1 = 102