3 years ago

Use the given figure to find the length of x

1 answer:

5 0

${(x + 6)}^{2} = {x}^{2} + {12}^{2} \\ \Leftrightarrow {x}^{2} + 12x + 36 = {x}^{2} + 144 \\ \Leftrightarrow 12x = 108 \Leftrightarrow x = 9$

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or, <2 = 135 - 86

so, <2 = 49°

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emmasim [6.3K]

Answer:

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Find the face value of the 20-year zero-coupon bond at 4.4%, compounded semiannually, with a price of $8,375.

umka21 [38]

<u>Given</u>:

Time,

t = 20 years

Rate,

r = 4.4%

Price

= $8,375

Now,

The yield will be:

= $\frac{4.4}{2}$

= $1.1$ (%)

Time will be:

= $20\times 2$

= $40 \ periods$

As we know the formula,

⇒ $Price \ of \ bond = \frac{Face \ value}{(1+\frac{r}{2} )^{n\times 2}}$

By substituting the values, we get

$8375=\frac{Face \ value}{(1+\frac{0.044}{2} )^{20\times 2}}$

$8375=\frac{Face \ value}{(1.022)^{40}}$

$8375=\frac{Face \ value}{2.3880083}$

The face value will be:

$Face \ value = 2.3880083\times 8375$

$=20,000$ ($)

Learn more about face value here:

brainly.com/question/14862802

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3 years ago