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Greeley [361]
3 years ago
6

Suppose you bought a 6 percent coupon bond one year ago for $920. The bond sells for $940 today.

Mathematics
1 answer:
velikii [3]3 years ago
7 0

Answer:

1. $80

2. 8.69%

3. 5.53%

Step-by-step explanation:

The computation is shown below:

1. Total dollar return

= Face value × interest rate + (Sale value - purchase value)

= $1,000 × $60 + ($940 - $920)

= $60 + $20

= $80

2. Total nominal rate of return equal to

= {Face value × interest rate + (Sale value - purchase value)} ÷ {Purchase value} × 100

= {$1,000 × $60 + ($940 - $920)} ÷ {$920} × 100

= ($60 + $20) ÷ ($920) × 100

= 8.69%

3. Total real rate of return is

= (1 + Nominal rate of return) ÷ (1 + Inflation rate) × 100

= (1 + 8.70%) ÷ (1 + 0.03) × 100

= 5.53%

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Assume that the Poisson distribution applies and that the mean number of aircraft accidents is 9 per month. Find​ P(0), the prob
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Answer: 0.0001

It is unlikely to have a month with no aircraft​ accidents .

Step-by-step explanation:

Given :  Mean number of aircraft accidents = 9 per month

The Poisson distribution formula :-

\dfrac{e^{-\lambda}\lambda^x}{x!}, where \lambda is the mean of the distribution.

If X = the number of aircraft accidents per month, then the probability that in a​ month, there will be no aircraft accidents will be :-

\dfrac{e^{-9}(9)^0}{0!}=0.000123409804087\approx0.0001

Hence, the probability that in a​ month, there will be no aircraft accidents = 0.0001

Since this is less than 0.5 , therefor it is unlikely to have a month with no aircraft​ accidents .

5 0
3 years ago
Paul needs 40 pounds of 48% silver alloy to finish a collection of jewelry. How many pounds each of 45% silver alloy and 60% sil
Salsk061 [2.6K]
<span>Equation:
silver + silver = silver
0.45x + 0.60(40-x) = 0.48*40
----------------
45x + 60*40 - 60x = 48*40

--------
-15x = -12*40
x = (4/5)40
x = 32 lbs (amt of 45% slloy needed)
40-x = 8 lbs (amt of 60% alloy needed)</span>
8 0
2 years ago
SOMEONE PLEASE HELP QUICK ITS TIMED
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Step-by-step explanation:

5 0
3 years ago
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Taxi Driver charges a fixed rate of R to pick up a passenger in addition to Taxi Driver charges a rate of M for each mile driven
IRISSAK [1]

Answer:

t=nm+r

Step-by-step explanation:

Since you are trying to find time, represented by t, you set the equation equal to t. Then you need to add n multiplied by miles, m, to the fixed rate, r.

3 0
2 years ago
Please help with 11,12,13
faltersainse [42]

Problem 11

<h3>Answer:  h = 2A/b</h3>

------------------

Explanation:

We need to get h by itself. To do so, we first multiply both sides by 2. Then we divide both sides by b

A = (1/2)*b*h

2A = b*h

b*h = 2A

h = 2A/b

================================================

Problem 12

<h3>Answers:</h3>
  • Equation:   (n+2)/5 = 14
  • Solution to that equation:  n = 68

------------------

Explanation:

The number n is increased by 2 to get n+2

Then we divide by 5 to get (n+2)/5

This is set equal to 14 to get the equation (n+2)/5 = 14

Solving the equation would look like this

(n+2)/5 = 14

n+2 = 5*14 .... multiply both sides by 5

n+2 = 70

n = 70-2 .... subtract 2 from both sides

n = 68

================================================

Problem 13

<h3>Answer: Not a solution</h3>

------------------

Explanation:

We'll replace every copy of x with -3 and simplify

-2x + 5 > 13

-2*(-3) + 5 > 13

6 + 5 > 13

11 > 13

The last inequality is false because 11 is not greater than 13. Since the last inequality is false, this makes the first inequality false when x = -3.

Therefore, x = -3 is not a solution.

3 0
2 years ago
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