Find a quadratic equation which has solutions x=square root of 10and x=-square root of 10. Write the quadratic form in the simplest standard form x^2+bx+c

The answer is 1/5^12.

Multiply the -6 by 2 to get 5^-12. Then, to make the exponent positive, move it to the denominator to get your answer, 1 over 5^12.

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: 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

14/25

Answer:

Step-by-step explanation:

56/100=14/25

divide by GCM

Answer:

y = 78

Step-by-step explanation:

x - 5 = 72

x = 77

77 - 5 = y -6

I hope this helps!!

3x-1=4x+8-x

3x -4x +x = 8+1

4x -4x = 9

0x =9

x= 9/0 which is undefined .

Answer:

A.10,4

B.5,10

C.5,5

D4,4

Step-by-step explanation:

KERE ON LERNER?

The expression (sinx + cosx)^2 + (sinx - cosx)^2 simplifies to

To simplify the expression (sinx + cosx)^2 + (sinx - cosx)^2 using trigonometric identities, we can expand and simplify the expression.

Expanding the squared terms

(sin^2x + 2sinxcosx + cos^2x) + (sin^2x - 2sinxcosx + cos^2x)

Using the trigonometric identity sin^2x + cos^2x = 1, we can simplify further:

(1 + 2sinxcosx + 1) + (1 - 2sinxcosx + 1)

Simplifying the expression, we have:

2 + 2sinxcosx + 2

Combining like terms, we get:

4 + 2sinxcosx

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Answer:

x = 24

Step-by-step explanation:

x + 11 = 35

x = 35 - 11

x = 24

x+11=35

Subtract 11 on both sides.

Subtract 11 from 35 to get 24.

The functions are f(x) = 600 - 10x & g(x) = 20/3x, and the graphs are added as attachments

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

The table of values

For the membership application, we have the following features

So, the function is

f(x) = 600 - 10x

For the membership available, we have the following features

So, the function is

g(x) = 20/3x

So, the functions are f(x) = 600 - 10x & g(x) = 20/3x

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\(t+7.87 > 9.87\)

Subtract 7.87 from both sides:

\(t+7.87-7.87 > 9.87-7.87\)

Answer:

\(t > 2\)

Answer:

\( \sf \: t > 2\)

Step-by-step explanation:

Now we have to,

→ find the required value of t.

The inequation is,

→ t + 7.87 > 9.87

Then the value of t will be,

→ t + 7.87 > 9.87

→ t > 9.87 - 7.87

→ [ t > 2 ]

Hence, the value of t is 2.

The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.

The last payment amount is the result of the mathematical operations of subtraction and multiplication.

The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.

Using multiplication, the monthly payments are determined to be $3,400 for 17 months.  This is subtracted from the remaining balance to obtain the last payment amount.

The cost of a custom video game/virtual sound system = $4,210

Down payment = $100

The remaining balance for monthly payment = $4,110 ($4,210 - $100)

Payment period = 18 months (1¹/₂ years)

Monthly payments = $200

Payment for the first 17 months = $3,400 (17 x 200)

Last payment = $710 ($4,110 - $3,400)

Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.

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He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?

Answer:

76° is the other one

Step-by-step explanation:

nope, no precise calculation here. the option are thankfully enough apart that solving it graphically is just fine. look at the screenshot. the upper intersection is the one with the 7° angle

the lower one is somewhat less than 90° :P

Answer:

76 is the other

Step-by-step explanation:

Answer: $1856

Step-by-step explanation: 88 x 58 = 5104. 5104/2.75= 1856

Answer:

8:15:30

Step-by-step explanation:

8:15:30 a.m hope I helped ;)

The initial height of the rocket is 24 metres, the rocket hit the ground in 0.88 seconds and the height of the rocket after 4 seconds is 24 metres.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The initial height of the rocket is given by the value of h when t = 0:

h(t)=-4t² + 16t + 24

h(0)=-4(0)² + 16(0) + 24

h(0)=24

So the initial height of the rocket is 24 metres.

The rocket will hit the ground when its height is 0 metres, so we can set h = 0 in the equation and solve for t:

0 = -4t²+ 16t + 24

-4t² + 16t + 24 = 0

t=-0.88 seconds

So the rocket will hit the ground after approximately 0.88 seconds.

The height of the rocket after 4 seconds is given by:

h(4)== -4(4)²+ 16(4) + 24

=-64+64+24

=24

So the height of the rocket after 4 seconds is 24 metres.

Hence, the initial height of the rocket is 24 metres, the rocket hit the ground in 0.88 seconds and the height of the rocket after 4 seconds is 24 metres.

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Hello!

\(\large\boxed{x = 15}\)

Use the Pythagorean Theorem to solve for x:

a² + b² = c²

We are given the lengths of two sides, so we can plug those into the formula:

9² + 12² = x²

81 + 144 = x²

225 = x²

√225 = x

x = 15.

1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, the amount paid for the month of June is approximately $252.75, and the amount paid for the entire year is approximately $6,144.

To calculate the amount paid for the month and the year, we need to consider the number of days covered by the insurance policy. Let's break it down step by step:

Step 1: Determine the number of days covered in June.

Since the policy doesn't go into effect until June 16th, there are 15 days remaining in June that will be covered by the insurance policy.

Step 2: Calculate the daily rate.

To find the daily rate, we divide the total cost of the insurance policy by the number of days in a year:

Daily rate = 6,144 / 365

Step 3: Calculate the amount paid for June.

The amount paid for June can be found by multiplying the daily rate by the number of days covered:

Amount paid for June = Daily rate * Number of days covered in June

Step 4: Calculate the amount paid for the year.

To calculate the amount paid for the year, we simply multiply the daily rate by 365 (the total number of days in a year):

Amount paid for the year = Daily rate * 365

Now let's perform the calculations:

Step 2: Daily rate

Daily rate = 6,144 / 365 ≈ 16.85 (rounded to two decimal places)

Step 3: Amount paid for June

Amount paid for June = 16.85 * 15 ≈ 252.75 (rounded to two decimal places)

Step 4: Amount paid for the year

Amount paid for the year = 16.85 * 365 ≈ 6,144 (rounded to two decimal places)

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Option (D) The radio waves from the radio station are causing electrons in your radio's antenna to move up and down 97 million times each second, is correct answer.

A radio station that broadcasts at a frequency of 97 MHz (megahertz) operates at a frequency within the FM (frequency modulation) radio band. FM radio stations typically broadcast in the frequency range of 88-108 MHz. The radio station you are listening to broadcasts at a frequency that is within this range and therefore can be classified as an FM radio station. The FM radio band is used for high-fidelity radio broadcasting, which provides a higher quality of sound compared to other radio broadcasting methods, such as AM (amplitude modulation) radio. When you listen to a radio station broadcasting at 97 MHz, you can expect to hear high-quality sound with minimal static or interference.

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The complete question is :

Suppose you are listening to a radio station that broadcasts at a frequency of 97 Mhz (megahertz). Which of the following statements is true?

A.) The radio waves from the radio station have a wavelength of 97 million meters.

B.) The "radio waves" received by your radio are not light waves like those we talk about in astronomy, but rather are a special type of sound wave.

C.) The radio station broadcasts its signal with a power of 97 million watts.

D.) The radio waves from the radio station are causing electrons in your radio's antenna to move up and down 97 million times each second.

The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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In the above problem, the annual interest rate on this loan is 1.15%, rounded to the nearest percent.

To calculate the annual interest rate on this loan, we can use the following formula:

r = (I / P) / n

where r is the annual interest rate, I is the total amount of interest paid over the life of the loan, P is the initial loan amount, and n is the number of years for the loan.

Using the information provided in the amortization schedule, we can calculate I as the sum of all the interest payments:

I = 750 + 748.92 + 216.45 = 1715.37

We can calculate P as the initial balance on the loan:

P = 149,783.55

Since the loan is being paid off over 123 months, we can calculate n as:

n = 123 / 12 = 10.25

Substituting these values into the formula for r, we get:

r = (1715.37 / 149,783.55) / 10.25

r = 0.0115

To convert this to a percentage, we multiply by 100:

r = 1.15%

Therefore, the annual interest rate on this loan is 1.15%, rounded to the nearest percent.

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Answer:

That is the simplest answer I'm pretty sure

Step-by-step explanation:

Answer:

it cannot be simplified further

Answer:

\(\text{c. }r>0\)

Step-by-step explanation:

Define a positive number by all real numbers greater than, but not including, zero.

The inequality that represents this is \(\boxed{\text{c. }r>0}\)

*Note: The sign \(\geq\) represents including the value following it. However, we do not want to include zero in our set, hence \(r>0\)

Answer:

r > 0

Step-by-step explanation:

a. r≤ 0            the equation is represented as r value is equal to zero or less than zero. So r can be zero or negative since its saying less than zero.

b. r≥ 0            the equation is represented as r value is greater than but equal to zero. So r can be zero and nonpositive.

c. r> 0            the equation is represented as r value greater than 0 which makes the answer positive.

d. r≤ ∞           the equation is represented as r value is equal to all positive integers but all negative integers.

e. r< ∞           the equation is represented as r value is all negative numbers since the inequality sign is less than

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1) Given

2) Midpoint theorem

3)vertical opposite angle

4)SAS =side angle side rule

The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

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Step-by-step explanation:

f(0):

f(0) = (0^2 - 9) / (0 + 5)

= -9/5

f(-1):

f(-1) = ((-1)^2 - 9) / (-1 + 5)

= (-8) / 4

= -2

f(1/k):

f(1/k) = ((1/k)^2 - 9) / (1/k + 5)

= (1/k^2 - 9) / (1/k) + 5

= (1 - 9k^2) / (k^2 + 5k)

Therefore, f(0) = -9/5, f(-1) = -2, and f(1/k) = (1 - 9k^2) / (k^2 + 5k).

Answer:

Step-by-step explanation:

To find the values of f(x) at the given points, we substitute the values of x into the expression for f(x) and simplify:

f(x) = (x^2 - 9)/(x + 5)

a) To find f(0), we substitute 0 for x:

f(0) = (0^2 - 9)/(0 + 5) = -9/5

Therefore, f(0) = -1.8.

b) To find f(-1), we substitute -1 for x:

f(-1) = (-1^2 - 9)/(-1 + 5) = (-10)/4

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor of 2:

f(-1) = -5/2

Therefore, f(-1) = -2.5.

c) To find f(1/k), we substitute 1/k for x:

f(1/k) = ((1/k)^2 - 9)/(1/k + 5)

We can simplify the numerator by multiplying out the square:

f(1/k) = (1/k^2 - 9)/(1/k + 5)

We can simplify the denominator by multiplying by k/k:

f(1/k) = (1 - 9k^2)/(1 + 5k)

Therefore, f(1/k) = (1 - 9k^2)/(1 + 5k).

The difference between Tom and Alfie is  1 kg

Let's call the weight of Tom T, the weight of Harry H, the weight of Freddie F, and the weight of Alfie A. We are given that T = H + 5, H = F + 3, and F = A - 2.

Substituting the second and third equations into the first equation gives us:

T = (A - 2) + 3 + 5

T = A - 2 + 3 + 5

T = A + 1

So the difference between Tom and Alfie is T - A = A + 1 - A = 1 kg.

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Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

(x, y) = (-y, x)

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

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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