A number is missing the tens digit.
The number is 51 3 6.
What could the tens digit be if the number
is divisible by 2? By 4? By 8?

Answer:

36000

Step-by-step explanation:

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

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:

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:

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:

5

Step-by-step explanation:

10 divided by 2 is 5

Answer:

5

Step-by-step explanation:

you divided 10 by 2

The probability is approximately 0.9167 or 91.67%.

To find the probability that the sum of two dice numbers does not exceed 10, we need to determine the favorable outcomes (sums less than or equal to 10) and the total possible outcomes when rolling two dice.

There are 36 possible outcomes when rolling two dice because each die has six faces (1, 2, 3, 4, 5, and 6), and the total number of outcomes is obtained by multiplying the number of outcomes for each die (6 * 6 = 36).

Now let's determine the favorable outcomes (sums less than or equal to 10):

When the sum is 2: There is only one combination (1 + 1).

When the sum is 3: There are two combinations (1 + 2 and 2 + 1).

When the sum is 4: There are three combinations (1 + 3, 2 + 2, and 3 + 1).

When the sum is 5: There are four combinations (1 + 4, 2 + 3, 3 + 2, and 4 + 1).

When the sum is 6: There are five combinations (1 + 5, 2 + 4, 3 + 3, 4 + 2, and 5 + 1).

When the sum is 7: There are six combinations (1 + 6, 2 + 5, 3 + 4, 4 + 3, 5 + 2, and 6 + 1).

When the sum is 8: There are five combinations (2 + 6, 3 + 5, 4 + 4, 5 + 3, and 6 + 2).

When the sum is 9: There are four combinations (3 + 6, 4 + 5, 5 + 4, and 6 + 3).

When the sum is 10: There are three combinations (4 + 6, 5 + 5, and 6 + 4).

Adding up the favorable outcomes, we get: 1 + 2 + 3 + 4 + 5 + 6 + 5 + 4 + 3 = 33.

Therefore, the probability that the sum of the two dice numbers does not exceed 10 is given by:

Probability = Favorable outcomes / Total outcomes = 33 / 36 = 11/12 ≈ 0.9167.

So, the probability is approximately 0.9167 or 91.67%.

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Answer:

A b

Step-by-step explanation:

i m very frendly ask me anyrhing

Divide total miles by miles per gallon.

3298 / 12 = 274.83 gallons. ( Round the answer as needed).

Answer:

275 gallons of gas

Step-by-step explanation:

3298 divided by 12 = 274.83333

and then round that  = 275

Answer:

$0.30

Step-by-step explanation:

6 / 20

0.3

Best of Luck!

Answer:

the cost of 1 marker is $0.30.

Step-by-step explanation:

the ratio of number of markers is 20:6

Let's find an equivalent ratio that shows the cost for 1 marker.

A ratio where one of the terms is 1 is called a unit rate. We can divide the number of markers by 20 to get to 1 marker.

markers  -> cost

$6÷20=$0.30

The cost of 1 marker is $0.30.

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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A) We are told that cost of blueberries is $4.99 a pound.

Now, Diego buys b pounds of blueberries and pays $14.95.

Since 1 pound costs $4.99, then b pounds will cost $4.99b

Since he paid $14.95, then the equation is;

$4.99b = $14.95

B) We are told that cost of blueberries is $4.99 a pound.

Now, Jada buys p pounds of blueberries and pays $c.

Since 1 pound costs $4.99, then p pounds will cost $4.99p

Since he paid $c, then the equation is;

$4.99p = $c

C)  We are told that cost of blueberries is $d a pound.

Now, Lin buys q pounds of blueberries and pays $t.

Since 1 pound costs $d, then q pounds will cost $qd

Since he paid $t, then the equation is;

$qd = $t

idk rest

Answer:

I am doing the last 3

Step-by-step explanation:

1. 275 - 45 = n

2. v + 45 = m

3. x - y = w

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.

peacekeeper yesyklll

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

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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Answer:

.624

Step-by-step explanation:

Hope this helps.

Answer: 0.624

Step-by-step explanation:

Answer:

x=17

Step-by-step explanation:

−243=−9(10+x)

Step 1: Simplify both sides of the equation.

−243=−9(10+x)

−243=(−9)(10)+(−9)(x)(Distribute)

−243=−90+−9x

−243=−9x−90

Step 2: Flip the equation.

−9x−90=−243

Step 3: Add 90 to both sides.

−9x−90+90=−243+90

−9x=−153

Step 4: Divide both sides by -9.

−9x/−9

= −153/−9

x=17

Answer:

x=17

Step-by-step explanation:

I took the test!

Answer:

Equal heights, equal bases, and equal areas.

Step-by-step explanation:

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)

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.

To increase 600 by 8/3%, we can use the formula: New value = Old value + (Percent increase/100) x Old value. So, Rounding off to the nearest whole number, we get: New value ≈ 616

Using this formula, we can calculate the new value of 600 as follows:

New value = 600 + (8/3)% x 600

First, we need to convert the percent to a decimal by dividing it by 100:8/3% = 8/3 ÷ 100 = 0.0266

Substitute this value into the formula:

New value = 600 + 0.0266 x 600

Simplify by multiplying: New value = 600 + 15.96

New value = 615.96

Rounding off to the nearest whole number, we get: New value ≈ 616

Therefore, the correct answer should be approximately 616

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Answer:

48

Step-by-step explanation:

no explanation im just big brain

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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