How to represent fracctions on a line

Ivan has a $500 bond with a 5.8% coupon. Ivan purchased this bond for $515.

svetoff [14.1K]

Answer:

The yield is 5.974%

Step-by-step explanation:

We proceed as follows ;

coupon rate = Annual coupon payment/bond face value.

The face value is the original amount which the bond was bought and that is $515 according to the question. While the coupon rate is 5.8%

mathematically, annual coupon payment = coupon rate * bond face value = 0.058 * 515 = $29.87

mathematically;

current yield = Annual coupon payment/bond price

current yield = 29.87/500

= 0.05974 or simply 5.974%

so the answer is c. 5.6%

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Rocky lends $3000 to Ken at 10% per annum and the Ken lends the same sum to like at 12% per annum. Find kens gain over a period

zalisa [80]

Let t = time

Between Rocky and Ken:

3000 + 3000(.10)(t)

Between Ken and Mike:

3000 + 3000(.12)(t)

Kens gain = The difference

6 0

3 years ago

The shaded region R in diagram below is enclosed by y-axis, y = x^2 - 1 and y = 3.

Lostsunrise [7]

Cross sections of the volume are washers or annuli with outer radii x(y) + 1, where

y = x(y) ² - 1 ==> x(y) = √(y + 1)

and inner radii 1. The distance between the outermost edge of each shell to the axis of revolution is then 1 + √(y + 1), and the distance between the innermost edge of R on the y-axis to the axis of revolution is 1.

For each value of y in the interval [-1, 3], the corresponding cross section has an area of

π (1 + √(y + 1))² - π (1)² = π (2√(y + 1) + y + 1)

Then the volume of the solid is the integral of this area over [-1, 3]:

$\displaystyle\int_{-1}^3\pi y\,\mathrm dy = \frac{\pi y^2}2\bigg|_{-1}^3 = \boxed{4\pi}$

$\displaystyle\int_{-1}^3 \pi\left(2\sqrt{y+1}+y+1\right)\,\mathrm dy = \pi\left(\frac43(y+1)^{3/2}+\frac{y^2}2+y\right)\bigg|_{-1}^3 = \boxed{\frac{56\pi}3}$

8 0

3 years ago

Lexi made 14 sandwiches for a group picnic. The number of ham sandwiches she made was 4 less than the twice the number of turkey

shutvik [7]

x = # of ham sandwiches

14-x = # of turkey sandwiches ( as Lexi made 14 sandwiches)

as the question said that the number of ha sandwiches are 4 less than twice number of turkey sandwiches,

x = 2 * (14-x) - 4 = 24 - 2x

3x=24

x = 8

the number of ham sandwiches is 8, and the number of turkey sandwiches is 14-8=6

6 0

3 years ago

First Bank of Springdale operates a one-lane drive-in ATM machine. Cars arrive according to a Poisson distribution at the rate o

victus00 [196]

Answer:

a) 0.19

b) 0.9689

c) ≈ 6 cars

Step-by-step explanation:

Rate at which cars arrive = 12 cars/hour = 1/5 cars/minute

time needed by each car to complete ATM transaction = 6 minutes = 1/6 car/minute

capacity of lane = 10 car

n = 10

a) Calculate the probability of an arriving not using the ATM because the line is full

p ( not using the ATM ) = 0.19

b) probability that a car will not be able to use the ATM machine immediately on arrival

P ( n > 0 ) = 1 - Po

= 1 - 0.0311 = 0.9689

c) Average number of cars in the lane

Lq = 5.74 ≈ 6 cars

attached below is the detailed solution

4 0

3 years ago