please help for 25 points

The interest rate is 10.89%

1. Given,С = 200+ 0.69YI = 80 - 1,000rG = 20NX = 850.09ee = 90M = 115YL = 0.5Y - 200rY = 300Using the equation for National Saving, we get,National Saving = Investment + Government Saving + Net exports(S – I) + (T – G) + (X – M) = 0T = 0, hence (S – I) + (X – M) = 0(1 – t)Y – C – (I + G) + NX = 0Where t = 0, we get,0.5Y – 200r – 200 – 69/100Y + 80 – 850.09e = 0.5Y – 200r – 970.09e – 120 = 0.5Y – 200r – 970.09e – 120 = 0Therefore, Y = 325.0454 - 0.5r + 4.851eThis is the equation for the IS curve.On the other hand, the equation for the LM curve is given by,Ms / P = YL(i)115 / 1 = 0.5Y - 200rTherefore, Y = 400 + 400rThis is the equation for the LM curve.The interest rate is given by the point of intersection of the two curves. Equating Y from both equations, we get,325.0454 - 0.5r + 4.851e = 400 + 400rSolving the above equation for r, we get r = 0.1089 or 10.89%..

The size of the nominal money supply in the new short-run equilibrium is 121.07.

2. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate.Flexible Exchange Rates:In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output.Real exchange rate will fall.Increase in output will be higher compared to the fixed exchange rate case.Fixed Exchange Rates:In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.Real exchange rate will remain unchanged.Increase in output will be less compared to the flexible exchange rate case.The nominal money supply in the new short-run equilibrium will change in the case of Fixed Exchange Rates. In the fixed exchange rate case, the domestic interest rate will increase, leading to an inflow of capital. This will increase the money supply and the LM curve will shift downwards until it intersects the IS curve at the new equilibrium point.

Real exchange rate will remain unchanged.

3. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate. Flexible Exchange Rates :In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output .Real exchange rate will fall. Value of the real exchange rate in the new equilibrium is 0.891.Fixed Exchange Rates: In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.

Know more about  interest rate here:

https://brainly.com/question/28236069

#SPJ11

Answer:

Horizontal translation left 80 units

Step-by-step explanation:

f(x) -> f(x+80) -> (x,y) -> (x-80, y)

A random sampling method could be used to find the percentage of students in your grade who eat five servings of fruit and vegetables each day.

This method involves selecting a random sample of students from the entire population of your grade and surveying them about their eating habits.

In other word, its involves randomly selecting a subset of students from the entire grade population and collecting data on their eating habits. By selecting students at random, the sample is more likely to be representative of the entire grade. This cam provide accurate insights into the percentage of students meeting the desired dietary recommendation.

Read more about sampling

brainly.com/question/24466382

#SPJ1

The graph shows the  inequality x² ≤ 16

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.

Inequalities are often used to describe conditions or constraints in real-world problems.

You will notice that the values represented in the graph ranges from -4 to 4. Thus, solving x² ≤ 16 will produce these values. That is:

x² ≤ 16

x ≤ ±√16

x ≤ ±4

x ≤ -4 or x ≤ 4

Learn more about inequality on:

brainly.com/question/25275758

#SPJ1

The data states that a brisk walk is between 100 and 130 steps per minute, a mοderate walk is between 70 and 100 steps per minute, and a leisurely walk is between 50 and 70 steps per minute.

When sοmething is described as minute, it is exceedingly small. It οnly takes a tiny bit. Synοnyms: miniature, small, little, and small οther wοrds fοr minute.

The number οf steps a persοn takes each minute might change depending οn their age, gender, level οf fitness, and οther factοrs. Yet the fοllοwing serves as a basic rule fοr walking rates:

100–130 steps per minute fοr a brisk walk.

70 tο 100 steps per minute during a brisk walk.

50–70 steps per minute during a relaxed strοll

It's impοrtant tο keep in mind that all these rates are οnly suggestiοns, and that peοple may walk at different rates. Alsο, sοme pedοmeters and fitness trackers may calculate steps differently, making it pοssible that the step cοunts are nοt tοtally accurate.

To know more about Minute visit:

https://brainly.com/question/15600126

#SPJ1

What is the walking rate in steps per minute in a brisk walk according to Walking cadence?

Answer: X=Time(Minutes) Y=Gallons Y= 8x+70. I used slope intercept form: My example point would be (6, 118) (9, 142) 142-118/9-6=24/3=8. Therefore 8 is your slope. or you cold see that it increases by 24 everytime it skips 3 times.

Step-by-step explanation:

The Area of annulus - the region between the two circle is 50.26cm²

According to the question,

The length of chord of the large circle which is tangent to the small circle : AB = 8cm

Le the radius of large circle "R" and radius of smaller circle "r"

AB is a tangent to the smaller circle

AM = 8/2

=> AM = 4cm

In ΔOAM,

Using Pythagoras theorem ,

OA² = OM² + AM²

=> R² = r² + (4)²

=> R² - r² = 16

So, the area of annulus = π(R² - r²)

=> 16π (putting π = 3.14)

=> 50.26cm² is required area

To know more about Annulus here

https://brainly.com/question/22826138

#SPJ4

Answer:

length= 11 inches width= 6 inches height= 4 inches

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

11- 6(x – 8)

f(-3)

11-6(-3-8)

11+18+48

=77

From this graph , it takes 0.75 seconds to reach the highest position.

A graph is a visual representation of the relationship between two sets of data or variables, typically via lines or curves. A diagram or pictorial representation of facts or values that is arranged might be referred to as a graph in mathematics. The relationship between two or more items is frequently represented by the points on the graph

The graph indicates that the peak is at (0.75, 9)

The x-axis displays the time in seconds, while the y-axis displays the height in feet.

Consequently, it takes 0.75 seconds to reach the highest position.

To know more about graph visit:

brainly.com/question/17267403

#SPJ1

Answer:

  b)  -3

Step-by-step explanation:

You want the value of 'a' when the quadratic y = –3x² – 15x – 11 is written in the form y = a(x – h)² + k.

The leading coefficient in either form is the coefficient of x². It is the same in both forms: -3.

An equation that shows the dependence of \(y\) on \(x\) is \(y=20-3x\) and the domain of the function is \(x=[0,6], x \in N\).

Total number of cents \(= 20\).

She bought \(x\) pencils for \(3\) cents each.

Let \(y\) equals the number of cents left.

So, \(3x+y=20\).

\(y=20-3x\)

Here \(y\) must be positive

So, \(20-3x>0\)

\(20>3x\)

\(\frac{20}{3}>x\)

Domain of a function is the set of values for which the function is defined.

So, \(x\) can get values from \(0\) to \(6\).

Therefore, the domain is:  

\(x=[0,6], x \in N\).

Learn more about domain here:

https://brainly.com/question/17440903?referrer=searchResults

Answer:

Step-by-step explanation:

The scale factor is the ratio of corresponding side of the image to te original:

Answer:

g = 8.7

Step-by-step explanation:

3.1 (g - 7) = 5.2

Multiply by 3.1

3.1g - 21. 7 = 5.2

Add 21.7 to both sides

3.1g = 5.2 + 21.7

3.1g = 26.9

Divide both sides by 3.1

g = 26.9 / 3.1

g = 8.677 = 8.7

Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

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

More on adding polynomials: https://brainly.com/question/30791478

Hope this helps! :)

Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

Answer:

-3, -3

Step-by-step explanation:

To find out the percent change in profit between the two years, you need to use the percent change formula, which is given as: Percentage Change = (New Value − Old Value) / Old Value × 100Where Old Value = Profit of the previous year = birr 880,000New Value = Profit of this year = birr 970,000Now we will substitute these values in the formula and solve for the percentage change:

Percentage Change = (New Value − Old Value) / Old Value × 100Percentage Change = (970,000 − 880,000) / 880,000 × 100Percentage Change = 90,000 / 880,000 × 100Percentage Change = 0.102 × 100Percentage Change = 10.2%Therefore, the percentage change in profit between the two years is 10.2%. The company earned 10.2% more profit this year than last year.

To know more about profit visit:

brainly.com/question/32381738

#SPJ11

Answer:

A: 1(2x - 1) + 5(4x + 2)

B: Simplify above and divide by 0.5

C: (21 x 3) + (4 x 5 +2)

Step-by-step explanation:

Answer:

I don’t know

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

To solve this, first, take 22 minutes and divide it by 60 minutes, which is the number of minutes in an hour. Then, add two to the value, and multiply it by six square meters per hour, which is the rate that David can paint the wall. From there, you get 14.2 square meters which he painted in 2 hours and 22 minutes. Divide 14.2 square meters by the length of 11 meters to get 1.290 meters. Since they asked you to round to the nearest meter, you get 1 meter.

We find that P(Z < 0.64) = 0.7389. Therefore, P(X < 96) ≈ 0.7389, which is closest to answer (B) 0.6944.

We have n = 240 and p = 0.38, so we can use the normal approximation to the binomial distribution. We first find the mean and standard deviation of X:

mean = np = 240 × 0.38 = 91.2

standard deviation = sqrt(np(1-p)) = sqrt(240 × 0.38 × 0.62) ≈ 7.53

To find P(X > 83), we standardize 83 as follows:

z = (83 - mean) / standard deviation = (83 - 91.2) / 7.53 ≈ -1.09

Using a standard normal table, we find that P(Z > -1.09) = 0.8621. Therefore, P(X > 83) ≈ 1 - 0.8621 = 0.1379, which is closest to answer (A) 0.8468.

To find P(75 ≤ X ≤ 95), we standardize 75 and 95 as follows:

z1 = (75 - mean) / standard deviation = (75 - 91.2) / 7.53 ≈ -2.14

z2 = (95 - mean) / standard deviation = (95 - 91.2) / 7.53 ≈ 0.50

Using a standard normal table, we find that P(-2.14 ≤ Z ≤ 0.50) = 0.8244 - 0.0162 = 0.8082. Therefore, P(75 ≤ X ≤ 95) ≈ 0.8082, which is closest to answer (C) 0.8268.

To find P(X < 96), we standardize 96 as follows:

z = (96 - mean) / standard deviation = (96 - 91.2) / 7.53 ≈ 0.64

Using a standard normal table, we find that P(Z < 0.64) = 0.7389. Therefore, P(X < 96) ≈ 0.7389, which is closest to answer (B) 0.6944.

Learn more about binomial distribution here:

https://brainly.com/question/31197941

#SPJ11

Answer:

0.1

Step-by-step explanation:

Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

To know more about metrics visit.

https://brainly.com/question/32738513

#SPJ11

Answer:

150.72

Step-by-step explanation:

The volume of a cylinder is 2πrh. We have r = 3 and h = 8 so volume is 48π or 150.72.

Answer:

Not much of a difference but the second bottle is the best buy

Step-by-step explanation:

1) Make sure that all corresponding units are the same.

Litres to millilitres

1.5 L x 1000 = 1500 ml

2) Find out how much you are paying for 1 ml for each bottle

a) First bottle

330 ml = $0.42

1 ml = x

330x = 0.42

x = 0.42/330

x = 0.0013

b) Second bottle

1500 ml = $1.65

1 ml = x

1500x = 1.65

x= 1.65/1500

x= 0.0011

Answer:

226.8 rounded to the nearest whole number is 227

Step-by-step explanation:

226 is farther away than 227 on a number line, so it rounds to 227.

Answer:

911

Step-by-step explanation:

The expression  5k+m3  is a sum. The term 5k is an addend, but it is also a product. The term m3  is an addend, but it is also a quotient.

Answer:

-3

Step-by-step explanation:

Isolate -3y by subtracting x from both sides

-3y = -18 - x

Divide everything by -3

y = 6 + 1/3x

Slope is 1/3, and perpendicular lines have the reverse reciprocal slope, so our slope is -3

The value of expression n + p - 2q when n = p = q is 0

In this question, we have been given an expression n+p-2q

We need to find the value of given expression when n=p=q

Consider given expression,

n + p - 2q

Substitute n = p

= p + p - 2q

= 2p - 2q

Now we substitute p = q in above expression,

= 2q - 2q

= 0

Therefore, the value of expression n + p - 2q when n = p = q is 0

Learn more about an expression here:

https://brainly.com/question/1859113

#SPJ1