Evaluate the numerical expression:3.1-1.3(1.6-1.1)

Answer:

4x+10=28

We simplify the equation to the form, which is simple to understand

4x+10=28

We move all terms containing x to the left and all other terms to the right.

+4x=+28-10

We simplify left and right side of the equation.

+4x=+18

We divide both sides of the equation by 4 to get x.

x=4.5

Step-by-step explanation:

Answer: each item cost 2.05

Step-by-step explanation:

10.25 divided by 5 = 2.05

checking

2.05 times 5 = 10.25

Answer:

y = 3/2x + 2

Step-by-step explanation:

first things first write the equation is y = mb+b form which would be 2y  = 3x + 14 then divide everything by 2 to get y by itsself --> 3/2x + 7  for an equation to be paralle the equation needs the same slope which is -6 so 3/2(-6) = -9 so the next equation would also start with 3/2x,  so you would then do this:

-11 = -9 + b (y = mx+b)

b = -9 + 11 --> b = 2

so the equation is

y = 3/2x + 2

Answer:

The midpoint is (-2,-1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2

( -7+3)/2 = -4/2 =-2

To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2

(-6+4)/2 = -2/2 =-1

The midpoint is (-2,-1)

Given that <A and <B are complementary angles, the measure of angle B is: [tex]41^{\circ}[/tex]

Apply the knowledge of what complimentary angles are to solve for x then find the measure of <B.

Since <A and <B are both complimentary angles, therefore:

m<A = (6x+1)

m<B = (8x-23)

[tex](6x+1) + (8x-23) = 90[/tex]

[tex]6x+1 + 8x-23 = 90[/tex]

[tex]6x+1 + 8x-23 = 90\\\\14x - 22 = 90[/tex]

[tex]14x = 90 + 22\\\\14x = 112[/tex]

[tex]x = 8[/tex]

[tex]m \angle B = 8x-23\\\\m \angle B = 8(8) - 23\\\\m \angle B = 41^{\circ}[/tex]

Therefore, given that <A and <B are complementary angles, the measure of angle B is: [tex]41^{\circ}[/tex]

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To find all complex numbers z satisfying the equation cos z = 4, we need to use the identity:

cos z = cos(x + iy) = cos(x)

cosh(y) - i sin(x)sinh(y)

Given cos(z) = 4, we have

cos(x)cosh(y) = 4 and sin(x)sinh(y) = 0

Since sin(x) and cosh(y) are non-zero, we have tan(x) = sinh(y)/cos(x)

Also, using the identity: cosh²(y) - sinh²(y) = 1, we get

cos²(x)cosh²(y) - sin²(x)sinh²(y) = 16 - 1 = 15

Dividing both sides by cos²(x), we get:

cosh²(y) - tan²(x)sinh²(y) = 15/cos²(x)

Therefore, substituting the value of tan(x) in the above expression, we get:

cosh²(y) - sinh²(y)/cos²(x) = 15/cos²(x)

Rearranging, we get:

cosh²(y) - 17/16 = 0

Therefore, cosh(y) = ±sqrt(17)/4

Taking the positive square root, we get

y = arccosh(sqrt(17)/4)

Taking the negative square root, we get

y = -arccosh(sqrt(17)/4

)Therefore, the solutions for cos(z) = 4 are

:z = nπ - arctan(tanh(y)) ± i arccosh(sqrt(17)/4)z = nπ - arctan(tanh(y)) ± i arccosh(-sqrt(17)/4)

where y = arccosh(sqrt(17)/4) or y = -arccosh(sqrt(17)/4) and n is an integer.

To find all complex numbers z satisfying the equation cos z = i sin z, we can use the identity:

cos z = i sin z, i.e., cos(x) + i sin(x) = i sin(x)cos(x) - sin(x) = 0sin(x)(cos(x) - 1) = 0

Therefore, either sin(x) = 0 or cos(x) = 1When sin(x) = 0, we have x = nπ where n is an integer When cos(x) = 1, we have x = 2nπ where n is an integer

Therefore, the solutions for cos(z) = i sin(z) are:z = nπ + i(nπ + π/2)z = 2nπ + i(2nπ) where n is an integer

The complex numbers z satisfying the equation cos z = 4 are:z = nπ - arctan(tanh(y)) ± i arccosh(sqrt(17)/4)z = nπ - arctan(tanh(y)) ± i arccosh(-sqrt(17)/4)where y = arccosh(sqrt(17)/4) or y = -arccosh(sqrt(17)/4)and n is an integer.The complex numbers z satisfying the equation cos z = i sin z are:z = nπ + i(nπ + π/2)z = 2nπ + i(2nπ)where n is an integer.

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The amount paid by person is given as follows:

400.

The amount paid by person is obtained applying the proportions in the context of the problem.

The total cost is given as follows:

1200.

The number of people is given as follows:

3.

Hence the amount paid by person is given as follows:

400.

The total cost is of 1200.

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The present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% can be calculated by the formula:PV = FV / (1 + r/m)^(m*t)Here, PV stands for Present Value FV stands for Future Valuer stands for the interest rate (9%)m is the number of times the interest is compounded (semi-annually, so m = 2)t is the number of years (5)

After substituting the values in the formula, we get:PV = 13,000 / (1 + 0.045)^10PV = 13,000 / 1.55709768854PV = $8,349.58. We can use the concept of present value (PV) and future value (FV) to solve this question. When the cash flow is considered at different points of time, the money's value changes with the time value of money. The time value of money takes into consideration the amount of interest that could be earned on the sum of money if invested. Present value (PV) is a mathematical concept that represents the current worth of a future sum of money, taking into account the time value of money and the given interest rate. PV is calculated by using a discount rate that is determined by the interest rate and the length of time between the present and future payment dates. Future value (FV) is a mathematical concept that represents the future worth of a present sum of money, taking into account the time value of money and the given interest rate. FV is calculated by using a compound interest rate that is determined by the interest rate and the length of time between the present and future payment dates. To calculate the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9%, we can use the formula PV = FV / (1 + r/m)^(m*t), where PV is the present value, FV is the future value, r is the interest rate, m is the number of times the interest is compounded per year, and t is the number of years. In this case, we know that FV is $13,000, r is 9%, m is 2 (since it is compounded semi-annually), and t is 5. After substituting these values into the formula, we get PV = $8,349.58. Therefore, the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% is $8,349.58.

Therefore, the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% is $8,349.58.

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Answer:

(0, 4)

Step-by-step explanation:

The y-intercept is the y-value when x = 0.

From the graph, we see that when x = 0, y = 4.

The coupon rate of the bond is 9.04% as calculated in the main answer.

Given:Selling price of bond= $13000Maturity value= $13161Time to maturity= 6 yearsThe yield to maturity of the bond is not given.Coupon rate refers to the rate of interest that is paid on the face value of the bond.

The formula to calculate the coupon rate is as follows: Coupon rate = (Annual coupon payment / Face value of the bond) x 100%The main answer to the given problem is as follows:We can find the annual coupon payment by using the formula as shown below:

Annual coupon payment = Yield to maturity x Face value of the bondSubstituting the given values, we getAnnual coupon payment = Yield to maturity x $13161Let the yield to maturity be ‘y’.Annual coupon payment = y x $13161We are given that the selling price of the bond is $13000

. Therefore, using the formula for yield to maturity, we can find the yield to maturity as shown below: 13000 = Annual coupon payment / (1+y/2)⁶ + $13161 / (1+y/2)¹²Simplifying the above expression,

we get a quadratic equation as shown below:2y² + 35y – 629 = 0On solving the above equation, we get y = 0.090398 or y = -17.540398We can ignore the negative value of ‘y’.

Therefore, the yield to maturity of the bond is 9.04%. Substituting this value in the formula for annual coupon payment,

we get Annual coupon payment = 9.04% x $13161. Annual coupon payment = $1189.72Using the formula to calculate the coupon rate, we get:

Coupon rate = (Annual coupon payment / Face value of the bond) x 100%Coupon rate = ($1189.72 / $13161) x 100%Coupon rate = 9.04%Therefore, the coupon rate of the bond is 9.04%.Option A - 11.987

The coupon rate of the bond is 9.04% as calculated in the main answer.

Therefore, the correct option among the given options is (A) 11.987. The solution to the given problem is explained in detail.

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Answer:

Equal heights, equal bases, and equal areas.

Step-by-step explanation:

Answer:

A b

Step-by-step explanation:

i m very frendly ask me anyrhing

Answer:

48

Step-by-step explanation:

no explanation im just big brain

Answer:

5 and 4/5

Step-by-step explanation:

Answer:

5 4/5 (5 12/15 not reduced)

Step-by-step explanation:

15 will go into 87 5 times.

15x1 = 15. 15x2 = 30. 15x3 = 45. 15x4 = 60. 15x5 = 75. 15x6 = 90. 90 can not go into 87, so you have to work with 75. 87-75=12. So, now your answer is

5 12/15. You are able to divide each of those numbers by 3, so let’s reduce. 12 divided by 3 is 4, and 15 divided by 3 is 5. So your reduced answer is 5 4/5. Hope that helped.

Answer:

The measure of angle DBE is 37° ⇒ (A)

Step-by-step explanation:

If two lines are intersecting at a point, then every two vertically opposite angles are equal in measure

Example:

If line XY intersects line MN at point Z, then angle MZX, angle NZY are vertically opposite angles, and angle MZY, angle NZX are vertically opposite angles

Let us use this fact to solve the question

∵ Line CE intersects line AD at point B

∴ ∠ ABC and angle ∠DBE are vertically opposite angles

∴ m∠ABC = m∠DBE

∵ m∠ABC = 37°

∴ m∠DBE = 37°

The measure of angle DBE is 37°

peacekeeper yesyklll

The exercise involves calculations with matrices A, B, and x. We need to perform various operations, including taking the inverse of matrix A, multiplying matrix A by matrix B, multiplying matrix x by the transpose of x, and calculating the dimension of the identity matrix used in each case.

Let's perform the calculations step by step:

(a) To find the inverse of matrix A, denoted as A^(-1), we need to check if matrix A is invertible. If the determinant of A is non-zero, then A^(-1) exists. If the determinant is zero, A is not invertible.

Determinant of A = |A| = 0*(-8*(-8) - 20) + 2(0*(-8) - 40) - 4(02 - (-8)(-8))

= 0 + 0 - 4*(-128)

= 512

Since the determinant is non-zero, matrix A is invertible. To find A^(-1), we can use the formula:

[tex]A^{-1} = (1/|A|) * adj(A)[/tex]

where adj(A) is the adjugate of matrix A. The adjugate can be found by taking the transpose of the cofactor matrix of A.

Calculating the adjugate of A:

Cofactor matrix of A:

C = [0 -8 16]

[0 0 0]

[4 8 0]

Transposing C:

adj(A) = [0 0 4]

[-8 0 8]

[16 0 0]

Calculating [tex]A^{-1}:[/tex]

[tex]A^{-1}= (1/512) * adj(A)[/tex]

= (1/512) * [0 0 4]

[-8 0 8]

[16 0 0]

= [0 0 1/128]

[-1/64 0 1/64]

[1/32 0 0]

(b) To calculate matrix B divided by matrix A, denoted as B/A, we need to multiply matrix B by the inverse of matrix A, which we already found in part (a).

[tex]B/A = B * A^{-1}[/tex]

= [6] * [0 0 1/128]

[-1/64 0 1/64]

[1/32 0 0]

= [60 + 0(-1/64) + 1/1280]

[60 + 00 + 1/640]

[61/32 + 00 + 1/128*0]

= [0]

[0]

[3/512]

(c) To calculate the product of matrix x and the transpose of x, denoted as xx', we simply multiply each element of x by the corresponding element in the transpose of x.

xx' = [x2x2 00]

[00 00]

= [x2^2 0]

[0 0]

(d) The dimension of the identity matrix used in each case:

For part (a), the dimension of the identity matrix used is 3x3 since the inverse of A is a 3x3 matrix.

For part (b), the dimension of the identity matrix used is 3x3 since we are multiplying a 3x1 matrix (B) by the inverse of A, which is a 3x3 matrix.

For part (c), the dimension of the identity matrix used is 2x2 since xx' is a 2x2 matrix.

For part (d), it seems there is a typo in the question, as it asks for x'1 which suggests it should be a column vector. However, x is given as [x2 0] which suggests it is a row vector. Therefore, the dimension of the identity matrix used cannot be determined in this case.

In summary:

(a) A^(-1) = [0 0 1/128]

[-1/64 0 1/64]

[1/32 0 0]

(b) B/A = [0]

[0]

[3/512]

(c) xx' = [x2^2 0]

[0 0]

(d) The dimension of the identity matrix used cannot be determined for part (d) due to the inconsistency in the provided data.

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Answer:

Step-by-step explanation:

M = (35 + 40 + 12 + 16 + 25 + 10)/5

M = 138/5

M = 27.6

Answer:

Just take the opposite of the number in the factor.

x = 7, x = -1, x = 9

Answer:

30

Step-by-step explanation:

N/-2=-15

N= -15 times -2

N= 30

Answer:

N = 30

Step-by-step explanation:

Step 1: Write equation

N/-2 = -15

Step 2: Solve for N

Step 3: Check

Plug in N to verify it's a solution.

30/-2 = -15

-15 = -15

Answer:

.624

Step-by-step explanation:

Hope this helps.

Answer: 0.624

Step-by-step explanation:

Answer:

lcm=(x+3)(x+2)(x-2)

Step-by-step explanation:

hcf=(x+2) using different of two squares for x square minus four

The minimum possible value of the European call option is approximately 2.8752.

Given the parameters S = 52 (current stock price), K = 50 (strike price), r = 24% (annual interest rate), and a time to maturity of 3 months, we can calculate the minimum call option value.

The Black-Scholes formula for European call option pricing is as follows:

C = S * N(d1) - K * e^(-r*T) * N(d2)

Where:

C = Call option price

S = Current stock price

N = Cumulative standard normal distribution function

d1 = (ln(S/K) + (r + σ^2/2) * T) / (σ * sqrt(T))

d2 = d1 - σ * sqrt(T)

K = Strike price

r = Annual interest rate

T = Time to maturity (in years)

e = Euler's number (approximately 2.71828)

σ = Implied volatility of the underlying asset

Using the provided values, we can calculate the minimum call option value as follows:

d1 = (ln(52/50) + (0.24 + 0^2/2) * (3/12)) / (0.24 * sqrt(3/12))

   = (ln(1.04) + 0.12 * 0.25) / (0.24 * 0.1443)

   = (0.0392 + 0.03) / 0.0346

   = 1.7507

d2 = 1.7507 - 0.24 * sqrt(3/12)

   = 1.7507 - 0.24 * 0.1443

   = 1.7507 - 0.0346

   = 1.7161

N(d1) = N(1.7507) ≈ 0.9599 (using standard normal distribution table)

N(d2) = N(1.7161) ≈ 0.9569 (using standard normal distribution table)

C = 52 * 0.9599 - 50 * e^(-0.24 * (3/12)) * 0.9569

 = 49.9152 - 50 * e^(-0.06) * 0.9569

 ≈ 49.9152 - 50 * 0.9408

 ≈ 49.9152 - 47.040

 ≈ 2.8752

Therefore, the minimum possible value of the European call option is approximately 2.8752.

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Answer:

36000

Step-by-step explanation:

Move the decimal to the right four times because of 10^4