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2 years ago

Find the coordinates of the midpoint ab a(6,4) and b(2,-6)

Mathematics

1 answer:

Shtirlitz [24]2 years ago

8 0

Answer:

`let a(6,4) be x1, y1

b (2, -6) be x2,y2

coordinates of midpoint = { (x1+x2/2), (y1 +y2/2)

= (4, -1)

Step-by-step explanation:

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Springfield nuclear energy inc bonds are currently trading at 283.30. The bonds have a face value of $1,000, a coupon rate of 2%

vampirchik [111]

<u>Answer:</u>

The yield to maturity of the bonds is 11%

<u>Explanation:</u>

Price at which the bonds is currently trading = 283.30$

Face Value = $1000

Coupon rate = 2%

Hence the coupon bond rate = $1000 ×2%

= $1000\times \frac{2}{100}$

=$20

Years to maturity: 20 years

Formula used:

= $\frac{(C+ (\frac{(F-P)}{n}))}{(\frac{(F+P)}{2})}$

Where C is the bond coupon rate

F is the face value

P is the price

N is the number of years

= $\frac{(20 +(\frac{(1000-283.30)}{20})}{(\frac{(1000+283.30)}{2})}$

=11%

The yield to maturity of the bonds is 11%

3 0

2 years ago

X+y=3 x=6-4y using substitution

kenny6666 [7]

Givens

x + y = 3

x =6 - 4y

Solution

Use the top equation to substitute for x in the second equation.

x = 3 - y

Put this result into the second given equation and solve for y

3 - y = 6 - 4y Add 4y to both sides.

3 - y + 4y = 6 Combine on the left

3 + 3y = 6 Subtract 3 from both sides

3 - 3 + 3y = 6 - 3 Combine

3y = 3 Divide by 3

3y/3 = 3/3 Combine

y = 1

=========================

x + y = 3 but y = 1

x + 1 = 3 Subtract 1 from both sides.

x + 1 - 1 =3 - 1

x = 2

Answer

x = 2

y = 1

4 0

2 years ago

Read 2 more answers

Sin4u=2sin 2u cos 2u

yKpoI14uk [10]

Answer:

If you've learnt sin(A+B) = sinAcosB + cosAsinB,

sin(4u)

= sin(2u+2u)

= sin(2u)cos(2u) + cos(2u)sin(2u)

= 2 sin(2u) cos(2u).

4 0

2 years ago

You have taken up gardening for relaxation and have decided to fence in your new

daser333 [38]

Answer:

13 meters

Step-by-step explanation:

Adjacent sides form half the perimeter, so the sum of the unknown side and the given side is 34/2 = 17 meters.

4 meters + width = 17 meters

width = 13 meters . . . . . subtract 4 meters

7 0

2 years ago

Express 80 inches in standard notation using feet and inches.

Vladimir79 [104]

80 inches in standard notation using feet and inches would be expressed as 6 ft 8 inches by converting inches into feet and inches.

The solution to the given problem is to use some standard conversion units that are:

1 foot = 12 inches

1 inch = 0.8333 feet

Solution:

As mentioned above that one inch is equal to 0.8333 foot therefore

1 foot = 12 inches

then,

80 inches would be equal to

= $\frac{80}{12}$ ft

= $\frac{20}{3}$ ft

= 6ft 8 inches

= 6' 8"

Thus, 80 inches in standard notation using feet and inches would be expressed as 6 ft 8 inches by converting inches into feet and inches.

Learn more:

brainly.com/question/884268

3 0

2 years ago