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lyudmila [28]
2 years ago
15

A $1,000 face value bond is currently quoted at 100.8. the bond pays semiannual payments of $22.50 each and matures in six years

. what is the coupon rate?
Mathematics
1 answer:
gtnhenbr [62]2 years ago
5 0
We are given with
F = 1000
b = 22.50
P = 100.8

We use the formula to get the coupon rate
b = Fib
Substituting the given values
22.50 = 1000 ib
ib = 0.0255 or 2.25%

The coupon rate is 2.25%
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1350

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460 X 3

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Which graph shows a dilation? On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 2, 0), (ne
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its D

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there are two identical fridges for desserts. one of the fridge has 5/8 of its room left and the other fridge is only 1/8 full.
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1.5

Step-by-step explanation:

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A study of immunizations among school‑age children in California found that some areas had rates of unvaccinated school‑age chil
Rom4ik [11]

Answer:

Probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.

Step-by-step explanation:

We are given that a classroom of 20 children in one such area where 13.5% of children are unvaccinated.

If there are no siblings in the classroom, we are willing to consider the vaccination status of the 2020 unrelated children to be independent.

The above situation can be represented through binomial distribution;

P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......

where, n = number of trials (samples) taken = 20 children

            r = number of success = none of the 20 children

            p = probability of success which in our case is probability that

                   children are unvaccinated, i.e; p = 13.5%

<u><em>Let X = Number of children that are unvaccinated</em></u>

So, X ~ Binom(n = 20, p = 0.135)

Now, Probability that none of the 20 children in such a classroom would be unvaccinated is given by = P(X = 0)

           P(X = 0)  =  \binom{20}{0} \times 0.135^{0} \times (1-0.135)^{20-0}

                          =  1\times 1 \times 0.865^{20}

                          =  0.055

<em>Hence, the probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.</em>

8 0
2 years ago
renu purchased an air conditioner for rs 40500 including 8% VAT. what was the price before including VAT?
jekas [21]

Answer:

₹ 37500

Step-by-step explanation:

Let the price before VAT be ₹x.

\therefore \: x + 8 \% \: of \: x = 40500 \\  \therefore \: x +0.08x = 40500 \\  \therefore \: 1.08x  = 40500 \\  \therefore \: x =  \frac{40500}{1.08}  \\ \huge  \red{ \boxed{ \therefore \: x = Rs.  \: 37,500}}

Hence the price before including VAT of air conditioner was ₹ 37,500.

7 0
2 years ago
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