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3 years ago

A store decreases the price of a sofa by 16% this month only, to $5200. What was the price before the

Mathematics

1 answer:

zheka24 [161]3 years ago

3 0

9514 1404 393

Answer:

$6190.48

Step-by-step explanation:

The price is now 1 -16% = 84% of the original price (p).

$5200 = 0.84p

p = $5200/0.84 = $6190.48

The price before the discount was $6190.48.

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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]

Given:

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:

$Face \ value = 2.3880083\times 8375$

$=20,000$ ($)

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A display case for the artifact is in the shape of a cube. Each side of the display case is three times longer than the width ww

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