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3 years ago

What is the measure of angle ABC

Mathematics

1 answer:

inysia [295]3 years ago

3 0

1 + 1 = 2 - 1 = 1 hope this helps.

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If CB =3(x+8) and AD= 4(x+3), find AB

kkurt [141]

CD=CA+AB+BD

AB=CD-CA-BD

AB=CD-BD-BD

AB=CD-2.BD

AB=CD-2(BC+CD)

AB=CD-2BC-2CD

AB=-(CD+2BC)

AB=-{98-6(x+8)}

AB= 6x-50

6 0

2 years ago

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

3 years ago

The sum of three integers is 92. The second number is three times the first number. The third number is ten less than twice the

daser333 [38]

X+y+z=92

y=3x

z=2x-10
subsitute
x+3x+2x-10=92
6x-10=92
add 10 to both sdies
6x=102
divide by 6
x=17
subsitute

y=3x
y=3(17)
y=51

z=2x-10
z=2(17)-10
z=34-10
z=24

x=17
y=51
z=24

the numbers are 17,51,24

4 0

3 years ago

Read 2 more answers

Simplify 5 to the power of negative 2 over 4 to the power of 6?

Naya [18.7K]

Answer:

Step-by-step explanation:

$\frac{5^{-2} }{4^{6} } =\frac{1}{5^{2} 4^{6} }$

4 0

3 years ago

a fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closest to

gregori [183]

Answer:

The volume of the water in the fishbowl is equal to

$(682\frac{2}{3})\pi\ in^{3}$ or $2,144.6\ in^{3}$

Step-by-step explanation:

we know that

The volume of the sphere (a fishbowl) is equal to

$V=\frac{4}{3}\pi r^{3}$

In this problem we have

$r=16/2=8\ in$ ----> the radius is half the diameter

substitute

$V=\frac{4}{3}\pi (8^{3})=\frac{2,048}{3}\pi\ in^{3}$

convert to mixed number

$\frac{2,048}{3}\pi\ in^{3}=\pi (\frac{2,046}{3}+\frac{2}{3})=(682\frac{2}{3})\pi\ in^{3}$

$(3.14156)*(682\frac{2}{3})=2,144.6\ in^{3}$

6 0

3 years ago

Read 2 more answers