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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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Answer:

  $311.74

Step-by-step explanation:

A financial calculator computes the payment amount to be $311.74.

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Your graphing calculator may have the capability to do this. Certainly, such calculators are available in spreadsheet programs and on the web.

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The appropriate formula is the one for the sum of terms of a geometric series.

  Sn = a1·((1+r)^n -1)/(r) . . . . . where r is the monthly interest rate (0.005) and n is the number of payments (480). Filling in the given numbers, you have ...

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7 0
2 years ago
The proof TriangleABC ≅ TriangleDCB that is shown. Given: AngleA ≅ AngleD; CD||AB Prove: TriangleABC ≅ TriangleDCB Triangles C D
IrinaVladis [17]

Answer:

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Step-by-step explanation:

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2 years ago
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The cubit is an ancient unit. Its length equals six palms. (A palm varies from 2.5 to 3.5 inches depending on the individual.) W
olasank [31]

Assuminhg the ark has a shoe-box (cuboid) shape it´s volume would be:

V_{cuboid}=lenght*width*height

We have this three measurements (l=300cubits;w=50cubits;h=30cubits)) and it can be as simple as replacing them in the equation and solving but they are in all in cubits. We will convert them to ft because the problem requires the answer in ft^{3}. In order to do this we will use the given equivalences:

1cubit=6palms\\1palm=3.10in

and another one:

1ft=12in

First we will convert from cubits to palms:

l=300cubits*\frac{6palms}{1cubit}=1800palms\\w=50cubits*\frac{6palms}{1cubit}=300palms\\h=30cubits*\frac{6palms}{1cubit}=180palms\\

now from palms to in:

l=1800palms*\frac{3.10in}{1palm}=5580in\\w=300palms*\frac{3.10in}{1palm}=930in\\h=180palms*\frac{3.10in}{1palm}=558in\\

now from in to ft:

l=5580in*\frac{1ft}{12in}=465ft\\w=930in*\frac{1ft}{12in}=77.5ft\\h=558in*\frac{1ft}{12in}=46.5ft

We can calculate the Volume now like this:

V_{ark}=465ft*77.5ft*46.5ft=1675743.75ft^{3}

The volume of trhe ark would be 1675743.75ft^{3}

6 0
2 years ago
A twizzler factory makes regular 8in, king size 10in, extra long 16in, and snack size 3in twizzlers. Before packaging the candy,
serious [3.7K]

Answer:

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8 0
2 years ago
It takes your garden hose 20 seconds to fill your 2-gallon watering can. How long will it take to fill
White raven [17]

Answer: a) 1791 seconds

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Step-by-step explanation:

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a) The volume of inflatable pool measuring 3 feet wide, 8 feet long, and 1 foot deep.

Volume = 3 × 8 × 1 = 24 cubic feet

If 0.268 cubic foot = 20 seconds

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= 1791 seconds

b) Volume of a cylinder is πr²h

Diameter = 13 feet

Radius = diameter/2 = 13/2 = 6.5

Volume of the circular pool is

3.14 × 6.5² × 3 = 397.995 cubic feet

If 0.268 cubic foot = 20 seconds

397.995 cubic feet = (397.995 × 20)/0.268

= 29701 seconds

5 0
2 years ago
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