What is the measure of c in Figure 1.6?
I will give you brainly!

a. The equilibrium interest rate,  is determined by the risk-free interest rate, the probability of repayment, and the cost of default.

b. The probability of the government repaying its loan can be calculated using the loan repayment threshold and the distribution of the output.

c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default.

a. To find the equilibrium interest rate,  we need to consider the risk-free interest rate, the probability of repayment, and the cost of default. The equilibrium interest rate is given by the formula: r = r + (c/p), where r is the risk-free interest rate, c is the cost of default, and p is the probability of repayment.

b. The probability that the government will repay its loan can be calculated by determining the percentage of the output distribution that exceeds the loan repayment threshold. Since 0.5 of the output is required to repay the loan, we need to calculate the probability that the output exceeds L/0.5.

c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default. This can be proven by comparing the repayment threshold (L/0.5) with the loan repayment amount (L + Lr). If the repayment threshold is greater than the loan repayment amount, the borrowing country would default.

Calculations and further details would be required to provide specific numerical answers for each part of the question.

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25 - 5x = 5( -x + 5 )

25 - 5x = -5x + 25

or, 25 - 25 - 5x + 5x = 0

or, x = 0

Option B. x = 0

25 - 5x = 5 ( -x + 5 )

or, 25 - 5(0) = 5 ( 0 + 5 )

or, 25 - 0 = 0 + 25

or, 25 = 25

LHS = RHS

Hence, Verified.

Answer:

p(p+q-qr)

Step-by-step explanation:

p^2+pq-pqr​

Factor out a p

p(p+q-qr)

Answer:

p(p+q-qr)

Step-by-step explanation:

p^2 +pq-pqr

= p(p+q-qr)

Answer:

−1/2c+4

Step-by-step explanation:

Combine Like Terms:

−1/2c+26+−22=(−1/2c)+(26+−22)=

−1/2c+4

Hope this helped :)

Relative frequencies of past events can be used to predict future events by using probability theory. Probability theory is a branch of mathematics that deals with the study of random phenomena.

In the given example, if a student passed seven out of ten assignments in a course, the probability that the student will pass the next assignment in the course can be calculated by using relative frequency. We can use the formula of probability to calculate the probability of the student passing the next assignment. Probability is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.
In this case, the number of favorable outcomes is seven because the student passed seven out of ten assignments. The total number of possible outcomes is ten because the student attempted ten assignments. Therefore, the probability of the student passing the next assignment is 7/10 or 0.7. This means that there is a 70% chance that the student will pass the next assignment.

In conclusion, the relative frequency of past events can be used to predict future events. Probability theory can be used to calculate the probability of an event occurring in future events. By using the formula of probability, we can calculate the probability of an event occurring based on the relative frequency of past events. In the given example, the probability of the student passing the next assignment is calculated as 0.7 or 70%.

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Answer:

g = ( x - 2 ) / 3

Step-by-step explanation:

x = 3g + 2

subtract 2 from each side

x - 2 = 3g + 2 - 2

simplify

x - 2 = 3g

Divide each side by 3

(x - 2)/3 = 3g/3

Simplify

( x - 2 ) / 3 = g

Flip equation

g = ( x - 2 ) / 3

And we are done!

Answer:

AB= 8.1

AB=7.8

Step-by-step explanation:

\(ab = \sqrt{ {(8 - 1)}^{2} + {(6 - 2)}^{2} } \)

\( = \sqrt{ {7}^{2} + {4}^{2} } = \sqrt{49 + 16} \)

\( = \sqrt{65} = 8.1\)

\(ab = \sqrt{ {(6 - 1)}^{2} + {(2 - 8)}^{2} } \)

\(= \sqrt{ {5}^{2} + { ( - 6)}^{2} } = \sqrt{25 + 36} \)

\( = \sqrt{61} = 7.8\)

3ax-36x is the correct answer.

Hope it helps!

25% of the kids are older than Evie.

To find the percentage of kids older than Evie, we need to determine the total number of kids who are older than 9 and divide it by the total number of kids (20), then multiply by 100.

The number of kids older than 9 is the sum of the kids who are 10 and 12 years old: 4 + 1 = 5.

Now we can calculate the percentage:

Percentage = (Number of kids older than 9 / Total number of kids) * 100

Percentage = (5 / 20) × 100

Percentage = 25%

Therefore, 25% of the kids are older than Evie.

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Answer: A+P=11,    0.60A+0.35P=5.60

Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

Answer:

x=-2 willl be your answer

Answer:

X=-2

please mark brainliest if satisfied

Step-by-step explanation:

Subtract 5x from both sid

Answer:

the last answer

Step-by-step explanation:

the one with the division sign at the end i think

Answer: Option (C)

Step-by-step explanation: i got that in edgenuity

The equation of the axis of symmetry for the given function is x = 1.

To find the equation of the axis of symmetry for the function f(x) = -4x² + 8x - 28, we can use the formula:

x = -b / (2a)

where "a" and "b" are coefficients in the quadratic equation ax² + bx + c.

In this case, a = -4 and b = 8. Plugging these values into the formula, we get:

x = -8 / (2*(-4))

x = -8 / (-8)

x = 1.

The axis of symmetry for a quadratic function in the form of \(f(x) = ax^2 + bx + c\)  can be found using the formula x = -b / (2a).

In the case of the given quadratic function f(x) = -4x² + 8x - 28, the coefficient of \(x^2\) is a = -4 and the coefficient of x is b = 8.

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Answer:

4

Step-by-step explanation:

at x=3

since x=3 means x>= 1

use x+1 = 3+1=4

a. 36, 000 stadia = 5,664 km. b. 129 yojanas = 1,987 km. Stadia was an ancient unit of length, equal to about 185 meters. It was used in Greece, Rome, and other parts of the Mediterranean world.

Yojana was an ancient unit of length, equal to about 13 kilometers. It was used in India and other parts of Asia.

a. 36, 000 stadia = 5,664 km

1 stadia = 0.1575 km

36,000 stadia x 0.1575 km/stadia = 5,664 km

b. 129 yojanas = 1,987 km

1 yojana = 13.2 km

129 yojanas x 13.2 km/yojana = 1,987 km

To convert from stadia to kilometers, we can use the following conversion factor:

1 stadia = 0.1575 km

To convert from yojanas to kilometers, we can use the following conversion factor:

1 yojana = 13.2 km

In addition to the above, here are some additional information about stadia and yojanas:

Both stadia and yojanas are no longer in use as official units of measurement, but they are still sometimes used in historical and archaeological contexts.

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Answer:

The answer is A, the first one

Step-by-step explanation:

Hope this helps!

Answer:

-250

Step-by-step explanation:

It was right on edge

Answer:

The answer is -250

Step-by-step explanation:

it was on edge and i got it right

Answer:

y= -6/5x -3

Step-by-step explanation:

So for now lets bring it into mx + b format

Subtract 6x from both sides to isolate y which is also called subtraction property of equality.

so 5y = -6x -15

Now you divide both sides by 5 which is called division property of equality.

You now have y = -6/5x - 3

y= -6/5x -3 is the slope intercept form of the standard form equation of 6x + 5y = -15.

Hope this helps!

Step-by-step explanation:

Is a straight line through the origin

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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A. In the alternate universe, the p subshell would have 5 orbitals.

B. In the alternate universe, the d subshell would have 10 orbitals.

In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.

A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).

B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).

Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.

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The absolute value of change in the predicted value of dependent variable Y is 18.

Any variable whose value is influenced by an independent variable is said to be dependent. The thing that is measured or assessed in an experiment or mathematical equation is the dependent variable. The phrase "the outcome variable" is another name for the dependent variable.

Slope = b = -4

Intercept = a = -2.8

So, the equation of the regression line is

y  =  a + bx

y = -2.8 - 4x              ...Equation 1

Now suppose the value of x is changed by adding 4.5

i.e. put x = x + 4.5

So,

y = -2.8 - 4(x + 4.5)

y = -2.8 -4x - 18         ...Equation 2

Comparing 1 and 2 ,

We get the predicted value of dependent variable Y as 18

Therefore The absolute value of change in the predicted value of dependent variable Y is 18

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Answer:

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

Solve in below steps:

No solutions as we ended up with false equality.

Answer:

no solution

Step-by-step explanation:

0.5 ( -2 + 4d ) - 2d = -13

Solve the brackets.

-1 + 2d - 2d = -13

The term "-2d" cancels out, leaving us with:

-1 = -13

Since this equation is not true (the left side does not equal the right side), there is no solution to the equation.

In other words, there is no value of "d" that satisfies the equation.

Answer:

b is the correct geometry because there is vertices and coordinates

csc(x)/[1+cot^2(x)] simplifies to sin(x).

We can simplify csc(x)/[1+cot^2(x)] as follows:

csc(x) = 1/sin(x) [Reciprocal identity]

cot^2(x) = cos^2(x)/sin^2(x) [Definition of cotangent]

1 + cot^2(x) = (sin^2(x) + cos^2(x))/sin^2(x) = 1/sin^2(x) [Pythagorean identity]

Substituting these identities into the expression, we get:

csc(x)/[1+cot^2(x)] = (1/sin(x)) / [1/sin^2(x)] = sin(x)

Therefore, csc(x)/[1+cot^2(x)] simplifies to sin(x).

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To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

where:

Q is the discharge (flow rate)

n is Manning's coefficient (0.014 in this case)

A is the cross-sectional area of the channel

R is the hydraulic radius of the channel

S is the slope of the channel bed

First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:

A = π * r^2 = π * (3m)^2 = 9π m^2

Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:

R = r = 3m

Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:

S = 1/600

Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):

Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)

Using a calculator, the discharge can be evaluated to get the final result.

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Answer:

Solids can hold their shape because their molecules are tightly packed together. ... Atoms and molecules in liquids and gases are bouncing and floating around, free to move where they want. The molecules in a solid are stuck in a specific structure or arrangement of atoms.

I hope you find this helpful.

Answer:

y= ½x +5

Step-by-step explanation:

Slope- intercept form:

y= mx +c, where m is the slope and c is the y- intercept

Given that the slope is ½, substitute m= ½ into the equation.

y= ½x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -2, y= 4,

4= ½(-2) +c

4= -1 +c

c= 4 +1

c= 5

Hence, the equation of the line is y= ½x +5.

The inequality is x ≤ 35, where x represents the amount of gas in gallons.

This question means by the statement that we have been given that the number of gallons cannot exceed 35 so it actually means that they are either 35 or less than 35. so will use < = sign to come up with this equation.

You can have up to 35 gallons of gas at a time at the gas station. The inequality x ≤ 35 represents the fact that x (the amount of gas in gallons) is less than or equal to 35.

This means that the equation will be x≤35

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