A three-year interest rate swap has a level notional amount of 300,000. Each settlement period is one year and the variable rate is the one-year spot interest rate at the beginning of the settlement period. One year has elapsed and the one-year spot interest rate at the start of year 2 is 4.45%.
Time to Maturity 1 2 3 4 5
Price of zero coupon bond with Maturity value 1 0.97 0.93 0.88 0.82 0.75
Calculate the net swap payment by the payer at the end of the second year.
A. −400
B. −300
C. −200
D. −100
E. 0
Hint : Find the swap rate R using the table and then use R and the one-year spot rate at the start of year 2 to find the net swap payment at the end of year 2.

Answer:

77/306 or around 25.2%

Step-by-step explanation:

[tex]\frac{7}{18} *\frac{11}{17}[/tex] section 1/total * section 2/(total-1) since there is no replacement

just solve and you get 77/306

Answer:

1/144

Step-by-step explanation:

(-1/12)^2

(-1/12)*(-1/12)

1/144

Answer:

8.75

Step-by-step explanation:

211/8 = 26.375

141/8 = 17.625

now,

211/8-141/8

26.375-17.625

8.75

Answer:

Here both probabilities are not equal.

Therefore the die is not fair and biased.

Step-by-step explanation:

Now n= 1200 times and x = 419 times.

a) Empirical Probability:

         [tex]=\frac{x}{n} \\\\= \frac{419}{1200}\\ \\=0.349[/tex]

Probability = 0.349

b) Theoretical Probability:

                     [tex]=\frac{1}{6}[/tex]

Here both probabilities are not equal.

Therefore the die is not fair and biased.

Answer:

Let r = amount of the 7% solution

y represent the amount of the 15 percent solution

r =7.5 L

y = 12.5 L

Step-by-step explanation:

Let r = amount of the 7% solution

y represent the amount of the 15 percent solution

.07r + .15 y = (r+y) .12

r+y = 20

y = 20-r

.07r + .15 (20-r) = (20) .12

0.07r+0.15(20-r)=2.4

.07r+ 3 - .15r = 2.4

-.08r = 2.4-3

-.08r = -.6

Divide by-.08

r =7.5

y = 20-7.5

y = 12.5

9514 1404 393

Answer:

  $11,715.65

Step-by-step explanation:

The applicable formula is ...

  FV = P(1 +r/n)^(nt)

where principal P earns interest at rate r compounded n times per year for t years.

  FV = $9500(1 +0.042/12)^(12·5) = $9500(1.0035^60) ≈ $11,715.65

The account will hold $11,715.65 after 5 years.

Answer:

A) 64x + 285 = 605

B) 5 hours

Step-by-step explanation:

64x + 285 = 605

64x + 285-285 = 605 - 285

64x = 320

64x/64 = 320/64

x = 5

Double check

($605 Total - $285 parts) / $64 Hourly rate = Labor per hour

$320 Labor / $64 Hour = 5 hours

or 64x

Answer:

x = -11/5 or -2.2

y = 13/5 or 2.6

Step-by-step explanation:

well, start by doing the multiplication. then we will see better.

2x + 2yi + xi + yii = -7 + 3i

2x + 2yi + xi - y = -7 + 3i

this is because, remember, i = sqrt(-1), and ii = -1.

now we group the i-factors and the terms without i and compare it to the corresponding parts on the right side.

2x - y = -7

2yi + xi = 3i

=> 2y + x = 3

x = 3 - 2y

and that we use ihr the first equation again

2×(3-2y) - y = -7

6 - 4y - y = -7

-5y = -13

y = 13/5

x = 3 - 2×13/5 = 3 - 26/5 = 15/5 - 26/5 = -11/5

Answer:

a)  [tex]Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}[/tex]

b)  [tex]n=24[/tex]

Step-by-step explanation:

From the question we are told that:

Rate r=90 units per hour

Setup cost =20

Operating Cost =26

Units=40000

Generally the equation for Total cost is mathematically given by

[tex]Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}[/tex]

[tex]T_n=20n+\frac{11556}{n}\\\\T_n=\frac{20n^2+11556}{n}.....equ 1[/tex]

Differentiating

[tex]T_n'=\frac{n(40n)-(40n^2+11556)}{n_2}\\\\T_n'=\frac{20n^2-11556}{n^2}.....equ 2[/tex]

Equating equ 1 to zero

[tex]0=\frac{20n^2+11556}{n}[/tex]

[tex]n=24[/tex]

Therefore

Substituting n

For Equ 1

[tex]T_n=\frac{20(24)^2+11556}{24}[/tex]

F(n)>0  

For Equ 2

[tex]T_n'=\frac{20(24)^2-11556}{24^2}[/tex]

F(n)'<0

Answer:

The missing side length is of 5.

Step-by-step explanation:

The sides are proportional, which means that the missing side can be found using a rule of three.

x - 10

3 - 6

Applying cross multiplication:

[tex]6x = 30[/tex]

[tex]x = \frac{30}{6} = 5[/tex]

The missing side length is of 5.

Answer:

0.01

Step-by-step explanation:

6/7% = 6÷7÷100 = 0.0085714286 round to the nearest hundredth = 0.01

Answer:

37

Step-by-step explanation:

Tan(B) = 6/8

B= arctan(3/4)=37

Answer:

Hello,

Answer 26.9

Step-by-step explanation:

[tex]z=\dfrac{x-m}{\sigma} \\m=20.8\\\sigma=5.2\\\\p(z>?)\geq 0.12\ \longrightarrow 1-p(z\leq ?)=(1-0.12))\\\\Using\ table\ of\ normal\ reduce\ with\ 4 \decimals : ?=1.175\\\\x=1.175*5.2+20.8=26.91\approx{26.9}[/tex]

Option 1 - StartFraction n Over 2 EndFraction minus 6 + 10; when n = 8, the value is 8.

Step-by-step explanation:

Given : Expression "six less than the quotient of a number and two, increased by ten".

To find : What is the expression and value of expression when n = 8?

Solution :

Let the number be 'n'.

The quotient of a number and two i.e. \frac{n}{2}2n

Six less than the quotient of a number and two i.e. \frac{n}{2}-62n−6

Six less than the quotient of a number and two, increased by ten i.e. \frac{n}{2}-6+102n−6+10

The required expression is \frac{n}{2}-6+102n−6+10 .

Now, when n=8,

\frac{n}{2}-6+10=\frac{8}{2}-6+102n−6+10=28−6+10

\frac{n}{2}-6+10=4-6+102n−6+10=4−6+10

\frac{n}{2}-6+10=82n−6+10=8

The value of the expression is 8.

Therefore, option 1 is correct.

StartFraction n Over 2 EndFraction minus 6 + 10; when n = 8, the value is 8.

Answer:

12 feet

BRAINLIEST, PLEASE!

Step-by-step explanation:

Area = base x height

60 = base x 5

base = 60/5

base = 12

[tex]3\frac{16}{99} = \dfrac{313}{99}= 3.161616161616.....[/tex]

Step-by-step explanation:

there must be something wrong with your text.

what we can see is

3.8 × 105

and

1.9 × 1022

the true answer for these values has nothing to do with the 4 answer options.

maybe you meant

1.9 × 10.5 ?

because that answer would be 20.

but first working with the presented numbers :

3.8 × 105 = 399

1.9 × 1022 = 1941.8

so, the second number is actually much bigger than the first number.

but if it is

1.9 × 10.5 = 19.95

that works.

and we can either use the calculator to calculate

399 / 19.95 = 20

or we can simply look at the factor changes of the multiplication terms.

3.8 = 1.9 × 2

105 = 10.5 × 10

so, the multiplication product of the two larger numbers is then 2×10=20 times larger than the product of the 2 smaller numbers.

Answer:

the last two answers are the only correct ones

Answer:

Paul is 2 and Kennedy is 6

Step-by-step explanation:

6 × 1/3 = 2

2 + 4 =6

Answer:

A) Exponential growth

Step-by-step explanation:

Answer:

−2x^2+6x

Explanation:

You just have to distribute meaning you have to multiply -2x to the equation.

Answer:

Step-by-step explanation:

Use ^2 to indicate ²

y = (x-3)² + 8

This is an up-opening parabola.

Vertex (3,8)

Axis of symmetry: x = 3

Domain: ℝ

Range: [8,+∞)

Answer:

AC+ CD = ACD

X+1 + 2X + 2 = 30

3X+3 =30

3X=30–3

3X=27

X= 27/ 3

X= 9

I'm not sure of the solution, but I solved it according to a straight line (Line segment) .

I hope I helped you^_^

Answer:

200

Step-by-step explanation:

4 is in the ones place so 4 just 4

7 is in the tens place so it is 70

2 is the hundreds place so 200

9 is in the thousands place so 9.000

Answer:

i think 3

Step-by-step explanation:

Answer: [A] 2

Step-by-step explanation:

100% on edge 2023

9514 1404 393

Answer:

  x = 45°

Step-by-step explanation:

The triangle interior angle at I will be the supplement of the angle marked 2x. The triangle interior angle at G will be equal to x, the alternate interior angle with respect to transversal GI crossing the parallel lines.

The angle marked 3x is the sum of these "remote" interior angles:

  3x = 180 -2x +x

  4x = 180 . . . . . . . . . add x; next, divide by 4

  x = 180/4 = 45 . . . . . degrees

  x = 45°

Step-by-step explanation:

Which is the first sincetist of world

Answer:

10 + .25t

Step-by-step explanation:

The total amount spent is equal to the amount to get in plus the cost of the tickets times the number of tickets

cost = 10 + .25t