16
The graph below plots the aggregate demand curve for an economy.
Aggregate Demand Curve
Inflation Rate
13%-
12%
11%
10%
9%
8%
7%
6%
5%
4%
3%
2%
1%
0%
-1%-
-2%-
-1% 0% 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14%
Real Growth Rate
What is the expenditure growth rate in the economy?
There is not enough information to answer the question
0%
O 10%
O 11%
None of the above is correct

Answer: The answer is 1 and 2/3

Hope this helps you bye

The medicine bottle has 120 doses of 100 miligram each.

As per the known fact, 1000 miligram is 1 gram. So, the amount of medicine in the bottle in milligrams = 12×1000

Performing multiplication on Right Hand Side of the equation

Amount of medicine in bottle = 12000 milligrams.

Now, number of dose of 100 miligram medicine = 1

Amount of dose of 12000 miligram medicine = (1/100)×12000

Performing division and multiplication on Right Hand Side of the equation

Amount of doses in 12000 miligram medicine = 120

Thus, there are 120 doses in a medicine.

Learn more about dosage calculations -

https://brainly.com/question/24793154

#SPJ4

Answer:

it is 15 percent decay

Step-by-step explanation:

Answer: To graph the function f(x) = -2/3x -3, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

Comparing the given function with the slope-intercept form, we can see that the slope of the function is -2/3 and the y-intercept is -3.

To graph the function, we can start by plotting the y-intercept, which is -3, on the y-axis. Then, we can use the slope to find additional points on the line.

The slope of -2/3 means that for every unit we move to the right along the x-axis, we need to move down by 2/3 units along the y-axis. So, starting from the y-intercept at (-3,0), we can move 3 units to the right along the x-axis and 2 units down along the y-axis to get the point (-0.6,-2). We can repeat this process to get more points on the line, or we can simply draw a straight line through the two points we have found.

Putting it all together, the graph of f(x) = -2/3x -3 looks like:

     |

     |

     |

 -2  |       ●

     |      

     |          

 -3  | ●      

     |______________

        -3   -0.6    x

The ● symbols indicate the two points we found, and the line connecting them represents the graph of the function.

Step-by-step explanation:

Answer:

<32 - </3 5810-24

Step-by-step explanation:

32

Answer:

k<-9

Step-by-step explanation:

First you want to isolate the variable, or k in this case. So you will subtract 12 on both sides which will leave you with -2k<18. Then you will divide both sides by -2. Which turns into k>-9. But since you divided by a negative, the sign changes, so the answer would be k<-9.

Yes, the altitude of an isosceles triangle bisect the vertex angle as ∠BAD = ∠CAD (by CPCT) in isosceles triangle ABC.

Given, an isosceles triangle ABC

now, the two sides are equal

AB = AC

now, drawing an altitude AD in the triangle.

So, in triangles ADB and ADC

AB = AC (given)

AD = AD (common)

∠ADB = ∠ADC (90°)

So, by RHS congruence rule

ΔADB ≅ ΔADC

and therefore ∠BAD = ∠CAD (by CPCT)

Hence, Yes the altitude of an isosceles triangle bisect the vertex angle as ∠BAD = ∠CAD (by CPCT) in isosceles triangle ABC.

Learn more about Congruent Triangles here https://brainly.com/question/28914794

#SPJ4

Answer:

Step-by-step explanation:

Answer:

0.153 or 15.3%

Step-by-step explanation:

Subtract save percentage last season from save percentage this season:

0.738 - 0.585 = 0.153

Convert the decimal answer to a percent

0.153 x 100% = 15.3%

Answer:

5 - \(\frac{5}{6}\)

Step-by-step explanation:

(4 \(\frac{3}{8} + \frac{5}{8}\)) - \(\frac{5}{6}\)

(4 \(\frac{8}{8}\)) - \(\frac{5}{6}\)

(5) - \(\frac{5}{6}\)

5 - \(\frac{5}{6}\)

Hope this helps! May I please have brainliest? :)

Answer:

Step-by-step explanation:

simplfied 31/24

factored 1/2 times 31/12

At 22nd percentile in the distribution of ages of homeless Floridians, an 18 year old would be considered.

Given that 78% of the ages are greater than or equal to 18 years. Hence.

18 years will be (100 - 78)th percentile

i.e. 22nd percentile.

Historically, policymakers and practitioners at every level of government have focused special attention on specific subpopulations.

Decision-makers are often concerned about children and young people due to their vulnerability. People in families with children make up 30 percent of the homeless population. Unaccompanied youth (under age 25) account for six percent of the larger group.

Finally, due to their service to our country, veterans are often analyzed separately from the larger group. They represent only six percent of people experiencing homelessness.

Learn more about  homeless here

https://brainly.com/question/9784214

#SPJ4

Answer

B

Step-by-step explanation:

I think that the answer is B.  I know it can't be D or C

Answer:

KN = 11

Step-by-step explanation:

In right triangle LNM, by Pythagoras theorem:

\(LN=\sqrt{LM^2 -MN^2} \\ \\ \implies \: LN=\sqrt{ {(100)}^{2} -(80)^2} \\ \\ \implies \: LN=\sqrt{ 10000 -6400} \\ \\ \implies \: LN=\sqrt{ 3600} \\ \\ \implies \: LN=60\)

In right triangle LNK, by Pythagoras theorem:

\(KN = \sqrt{LK^2-LN^2}\)

\(\implies KN = \sqrt{(61)^2-(60)^2}\)

\(\implies KN = \sqrt{3721-3600}\)

\(\implies KN = \sqrt{121}\)

\(\implies\huge{\orange{ KN =11}}\)

Answer:

\( \: \)

Step-by-step explanation:

Before, Finding the length of KN, we must have to find the length of LN. So

\( \: \)

Here, LNM is a right angled triangle where measure of two sides are given and we are to find the measure of the third side LN(Perpendicular).

\( \: \)

We'll find the measure of third side with the help of the Pythagorean theorem.

\( \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\\)

Here,

\( \: \)

So, substituting the values in the above formula we get :

\(\\ {\longrightarrow \pmb{\sf {\qquad (NM) {}^{2} + (LN {)}^{2} = ( LM{)}^{2} }}} \\ \\\)

\( {\longrightarrow \pmb{\sf {\qquad (80) {}^{2} + (LN {)}^{2} = ( 100{)}^{2} }}} \\ \\\)

\( {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = ( 100{)}^{2} - (80) {}^{2}}}} \\ \\\)

\( {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = 10000 - 6400}}} \\ \\\)

\( {\longrightarrow \pmb{\sf {\qquad (LN {)}^{2} = 3600}}} \\ \\\)

\( {\longrightarrow \pmb{\sf {\qquad LN = \sqrt{3600} }}} \\ \\\)

\({\longrightarrow \pmb{\sf {\qquad LN = \frak{60}}}} \\ \\\)

Therefore,

\( \\ \)

As, we found the length of LN, now we can find the length of KN.

Where,

So, in the right angled triangle LKN, by Pythagorean theorem we get,

\(\\ {\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} + (LN {)}^{2} = ( LK{)}^{2} }}} \\ \\\)

\({\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} + {60}^{2} = ( 61{)}^{2} }}} \\ \\\)

\({\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} = ( 61{)}^{2} - {(60)}^{2}}}} \\ \\\)

\({\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} =3721 - 3600}}} \\ \\\)

\({\longrightarrow \pmb{\sf {\qquad (KN) {}^{2} = 121}}} \\ \\\)

\({\longrightarrow \pmb{\sf {\qquad KN = \sqrt{121} }}} \\ \\\)

\({\longrightarrow \pmb{\sf {\qquad KN = \frak{11} }}} \\ \\\)

Therefore,

the solution to the system of equations is x = 2 and y = 1.

To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.

Given the system of equations:

1) y = 6x - 11

2) -2x - 3y = -7

Step 1: Solve equation (1) for y.

  y = 6x - 11

Step 2: Substitute the value of y from equation (1) into equation (2).

  -2x - 3(6x - 11) = -7

Step 3: Simplify and solve for x.

  -2x - 18x + 33 = -7

  -20x + 33 = -7

  -20x = -7 - 33

  -20x = -40

  x = (-40)/(-20)

  x = 2

Step 4: Substitute the value of x into equation (1) to find y.

  y = 6(2) - 11

  y = 12 - 11

  y = 1

Therefore, the solution to the system of equations is x = 2 and y = 1.

Learn more about Equation here

https://brainly.com/question/31345430

#SPJ4

The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.

To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.

Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.

Therefore, the solution to the system of equations is x = 2 and y = 1.

https://brainly.com/question/35467992

#SPJ11

Answer:

9:thirty one

Step-by-step explanation:

Add 46 twenty and 5three then add the answer in 7:thirty

Substituting this value into the exponential equation, we can represent the growth for Ingrid's business. k = ln(25) / 3.

Our current growth rate is k. When this quantity is substituted into the exponential equation,

We may use the standard exponential equation to illustrate Ingrid's company's exponential growth:

P(t) = P₀ *\(e^{(kt)\),

, where P(t) is the population or the number of employees at time t, P0 is the starting population or the number of employees, e is the natural logarithm's base (about 2.71828), k is the growth rate, and t is the amount of time in years.

Ingrid had 2 employees when she began her business in 2000 (t = 0), and she had 50 employees in 2003 (t = 3), therefore we can enter these numbers into the equation to determine the growth rate, k.

Using P0 = 2 and P(3) = 50, we have

50 = 2 * \(e^{(3k)\).

Dividing both sides by 2:

25 = \(e^{(3k).\)

Taking the natural logarithm (ln) of both sides to isolate the exponent:

ln(25) = 3k.

At last, we find k: k = ln(25) / 3.

Our current growth rate is k. This amount can be used to indicate the growth of Ingrid's company in the exponential equation.

for more  such questions on  visit

https://brainly.com/question/2456547

#SPJ8

The relative atomic mass of Interactium is 290.14 amu.


We can calculate the relative atomic mass of Interactium using the following equation:

Ar = (Ab × Mb) + (Ac × Mc) + (Ad × Md) where Ar is the relative atomic mass, Ab is the abundance of Interactium-284, Mb is the mass of Interactium-284, Ac is the abundance of Interactium-289, Mc is the mass of Interactium-289, Ad is the abundance of Interactium-294, and Md is the mass of Interactium-294.  

Substituting the given values in the equation, we get:

Ar = (0.16 × 284) + (0.27 × 289) + (0.57 × 294)
Ar = 45.44 + 77.97 + 167.43
Ar = 290.14 amu

Therefore, the relative atomic mass of Interactium is 290.14 amu.

Learn more about atomic mass here:

https://brainly.com/question/29117302

#SPJ11

For many hotels, including the Grand Hotel Toplice, the price of a room will fluctuate depending on  the time of year. Option B

The rates of hotel rooms tend to fluctuate depending on the demand during different seasons and times of high travel activity.

Hotels have a tendency to increase their room rates during peak tourist seasons or notable holiday periods, namely summer vacations or significant local events.

During times when there is less demand or fewer guests, prices may be decreased in order to entice visitors. The demand for hotel rooms and subsequent price changes can be impacted by factors such as climate, nearby activities, and cultural festivities specific to certain periods.

Generally, the room rates at hotels are not directly influenced by additional elements like the individual's gender, nationality, or the time of day.

Learn more about hotels at: https://brainly.com/question/25324744

#SPJ1

The probability of rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die at the same time is 1/216, or approximately 0.46%.

Assuming that each die is fair and that the outcome of rolling one die does not affect the outcome of rolling the others, the probability of rolling a 6 with the red die is 1/6, the probability of rolling a 5 with the green die is also 1/6, and the probability of rolling a 4 with the blue die is 1/6.

Since the three events of rolling each die are independent of each other, we can multiply their probabilities to get the probability of all three events happening at the same time, i.e., rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die:

Probability of rolling 6 with the red die = 1/6

Probability of rolling 5 with the green die = 1/6

Probability of rolling 4 with the blue die = 1/6

Probability of rolling 6 (R), 5 (G), 4 (B) at the same time = Probability of rolling R and G and B together = Probability of R × Probability of G × Probability of B

= 1/6 × 1/6 × 1/6 = 1/216

Therefore, the probability of rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die at the same time is 1/216, or approximately 0.46%.

To learn more about probability please click on below link.

https://brainly.com/question/30034780

#SPJ4

You have three dice: one red (R), one green (G), and one blue (B). When all three dice are rolled at the same time, calculate the probability of the following outcome: 6 (R), 5 (G), 4 (B)?

You have the following function:

f(b) = 3b ÷ 45/60

Consider Emma put way 3 carts of books in 45 minuntes.

The factor 45/60 means the conversion to hours of the number of books Emma put way. 45 minutes in hours is the same as 45/60.

the factor 3b means that Emma put way 3 carts of books, and the division stablish the rate of time in one hour. This means b is the number of book on one cart.

Hence, the following statement is a correct interpretation of the function f(b):

b) the variable b represents the number of book on one cart.

Answer:

t = 9/10. Try to substitute the t value into all the t's to see if the answer is correct. Ex: 2t+2, 2(9/10) + 2

Step-by-step explanation:

First you are going to multiply the 2 with the t+1, which is 2t+2. Then you are going to do the same with the other side of the equation. 102 times t+1 is 102t+102.

Now the equation is 2t+2 = 102t+102 = 10

You are now going to combine like terms, 2t - 102t = 102 - 2  = 10

-100t = 100 = 10.

Now subtract 100 from 100 and 10, which makes it: -100t = -90

Then you are going to make the -100t = -90 to -10t = -9, finally it is t = 9/10

Answer:

t = 4

Step-by-step explanation:

The row where three consecutive entries occur in the ratio 3:4:5 is row 7 in Pascal's Triangle.

To find the row in Pascal's Triangle where three consecutive entries occur in the ratio 3:4:5, we can use the property of Pascal's Triangle, where each entry is the sum of the two entries above it.
Let's denote the three consecutive entries in the ratio as 3x, 4x, and 5x. Since these are consecutive entries, we can use the following relationships from Pascal's Triangle:
1. 4x = C(n, k) = C(n-1, k-1) + C(n-1, k), where C(n, k) represents a binomial coefficient.
2. 3x = C(n-1, k-1) and 5x = C(n-1, k).
Now, we can write the equation:
4x = 3x + 5x => x = 3C(n-1, k-1) = 5C(n-1, k).
We can see that 3 divides C(n-1, k) and 5 divides C(n-1, k-1). Let's try different values of n until we find the smallest integer that fits this condition.
For n = 6:
C(5, 1) = 5, which is divisible by 5.
C(5, 2) = 10, which is not divisible by 3.
For n = 7:
C(6, 1) = 6, which is not divisible by 5.
C(6, 2) = 15, which is divisible by 3.

for such more question on Pascal's Triangle

https://brainly.com/question/29630251

#SPJ11

Answer:

Step-by-step explanation:

Bánh mì 1.5 đô

Cà phê 2 đô

Answer:

y=x-1

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the points (7, 6) and (-2, -3)

There are 3 ways to write the equation of the line:

The most common (and usually, the easiest way) would be slope-intercept form, so let's write it that way

First, we'll need to find the slope of the line

The slope can be found using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points

We have two points, which is needed, but let's label their values in order to avoid any confusion:

\(x_1= 7\\y_1=6\\x_2=-2\\y_2=-3\)

Now substitute these values into the formula to find the slope (m):

m=\(\frac{y_2-y_1}{x_2-x_1}\)

m=\(\frac{-3-6}{-2-7}\)

Subtract the numbers

m=\(\frac{-9}{-9}\)

Divide

m=1

The slope of the line is 1

So far, we can write the equation of the line as this:

y=1x+b, or y=x+b

We'll need to find b

As the equation passes through both (7,6) and (-2, -3), we can use either one of them to solve for b

Taking (7, 6) for instance, substitute 7 as x and 6 as y:

6=1(7)+b

Multiply

6=7+b

Subtract 7 from both sides

-1=b

Now substitute -1 as b:

y=x-1

Hope this helps!

The position vector r (with components x1, x2, x3) and any vector v can be expressed as r = x1*i + x2*j + x3*k and v = a*i + b*j + c*k, respectively.

The dot product of two vectors is defined as the sum of the products of their corresponding components. Therefore, the dot product of r and v can be calculated as:

r · v = (x1*i + x2*j + x3*k) · (a*i + b*j + c*k)

     = (x1*a) + (x2*b) + (x3*c)

Here, we multiplied the corresponding components and summed them up. The dot product represents the scalar projection of one vector onto the other, which indicates the magnitude of one vector in the direction of the other.

Learn more about position vector

brainly.com/question/33610367

#SPJ11

Answer:

answer to question 1: 24

Explanation: (btw sorry i couldn't answer question 2) multiply 8 times 3 and you get the answer

The required group of number is 24 of 1/8 in 3.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

The given numbers are 1/8 and 3.

Let there are n number of groups of 1/8 in 3.

To find the value of number of groups n,

Use equation form,

1/8 n = 3

n = 3 x 8

n = 24.

There are 24 groups of 1/8 in 3.

To know more about Algebra on:

https://brainly.com/question/24875240

#SPJ2