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Rashid [163]
3 years ago
5

Find y using Pythagorean theorem or proportion

Mathematics
1 answer:
Tcecarenko [31]3 years ago
4 0

We have three similar triangles, let's see if we can get this right, right vertex first, then other vertex from small side:

EDF ~ GDE ~ GEF

As ratios that means

ED:DF:EF = GD:DE:GE = GE:EF:GF

x:20:y = 5:x:GE = GE:y:15

Since we're after y we choose

20/y = y/15

20(15) = y²

y² = 300

y = 10√3

y ≈ 17.32

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What is the current value of a zero-coupon bond that pays a face value of $1,000 at maturity in 6 years if the appropriate disco
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Answer:4

Step-by-step explanation:

A zero-coupon bond  doesn’t make any payments. Instead, investors purchase the zero-coupon bond for less than its face value, and when the bond matures, they receive the face value.

To figure the price you should pay for a zero-coupon bond, you'll follow these steps:

Divide your required rate of return by 100 to convert it to a decimal.

Add 1 to the required rate of return as a decimal.

Raise the result to the power of the number of years until the bond matures.

Divide the face value of the bond to calculate the price to pay for the zero-coupon bond to achieve your desired rate of return.

First, divide 4 percent by 100 to get 0.04. Second, add 1 to 0.04 to get 1.04. Third, raise 1.04 to the sixth power to get 1.2653. Lastly, divide the face value of $1,000 by 1.2653 to find that the price to pay for the zero-coupon bond is $790,32.

5 0
3 years ago
1 4th plus 5 8th equals
Finger [1]
These two have different denominators, so you find the least common multiple. This problem goes to be 2/8+5/8, which equals 7/8。
8 0
3 years ago
Jerome is writing a number in scientific notation. The number is greater than one million and less than ten million. What will b
fgiga [73]

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8 0
3 years ago
Read 2 more answers
Aflati un numar stiind ca 1/3 din 1/1/3 din el este 40 VA ROG MULT DAU COROANA
I am Lyosha [343]

Answer:

This is such a unique language. What language is this? I wanna try and learn it

6 0
3 years ago
Line AB and line BC form a right angle at point B. If A = (-3, -1) and B + (4, 4), what is the equation of line BC?
Andrej [43]

Answer:

C.) -7x - 5y = -48

Step-by-step explanation:

slope AB = (y2 - y1)/(x2-x1)

= {4-(-1)}/{4-(-3)} = 4+1/4+3 = 5/7

slope of BC = -1 ÷ 5/7 = -1 × 7/5 = -7/5

taking -7x - 5y = -48

-5y = 7x -48

y = 7x/-5 - 48

y = -7/5x -48

7 0
3 years ago
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