A corporation recently sold zero-coupon $400 bonds maturing in 4 years with an annual yield of 12%. Find the price. [Hint: The price is the present value of $400 4 years from now at the stated interest rate.] (Round your answer to the nearest cent.)

Answer:

C

You have to check which of numbers is the lowest.

Cheers :D

Suppose {xn} is increasing and has a subsequence {xnk} which converges to L. We will prove that {xn} itself converges to L.

For any ϵ>0, we want to find an integer Nϵ such that |xn−L|≤ϵ for any n≥Nϵ.

Since {xnk} is increasing and converges to L, we can find kϵ such that for any k≥kϵ, −ϵ<xnk−L<0.

Take Nϵ=nkϵ, then for any n≥Nϵ, xnkϵ≤xn≤L, so −ϵ≤xnkϵ−L≤xn−L≤0.

Similarly, we can prove when {xn} is decreasing

Step-by-step explanation:

Given that

A = {3,4}

B = { 2,3,4}

C ={3,4,5}

BXB = {2,3,4}×{2,3,4}

⇛ {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4),(4,2),(4,3),(4,4)}

and

CXC = {3,4,5}X{3,4,5}

⇛ {(3,,3),(3,4,)(3,5),(4,3),(4,4),(4,5),(5,3),(5,4),(5,5)}

Now

(BxB) n(CxC)

⇛ {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4),(4,2),(4,3),(4,4)} n

{(3,,3),(3,4,)(3,5),(4,3),(4,4),(4,5),(5,3),(5,4),(5,5)}

⇛ {(3,3),(3,4),(4,3),(4,4,)}

Additional comment:

Answer:

100-200     Step-by-step explanation: yes 600 is half the students most of them are going to be in class

Answer:

d

Step-by-step explanation:

plan 2 grows exponentially so it grows at a faster rate than plan 1, even though plan 1 starts with 100 members

Answer:

After 10 weeks: 40 inches

Step-by-step explanation:

Equation

15 + 2.5w = h

15 = beginning height

2.5 = rate per week

w = weeks passed

h = total height

Two or more expressions with an Equal sign is called as Equation.15+2.5W tall l would the sunflower be after w weeks and 40 inches tall after 10 weeks.

Two or more expressions with an Equal sign is called as Equation.

Given that, At the beginning of spring, Caroline planted a small sunflower in her backyard

The initial height of the sunflower was  15 inches tall.

The sunflower then began to grow at a rate of 2.5 inches per week.

We need to find the height of the tree after 10 weeks.

15+2.5(10)

15+25

40 inches tall after 10 weeks.

the sunflower height after w weeks

15+2.5W

Hence 15+2.5W tall l would the sunflower be after w weeks and 40 inches tall after 10 weeks.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Answer:

y=3x-1 = x=1/3

Step-by-step explanation:

y=3x-1

to find the 0-intercept at x, underline y = 0

0=3x-1

move the variable to the left side and change its sign

-3x=-1

divide both sides of the equation by -3

x=1/3

Answer: its bottom left, because look at the axis, y axis is the vertical line, check that closely :)

Answer:

Area: (3+√7) x (1+2√7) = 17+7√7 = 35.52

Perimeter: 2(3+√7) + 2(1+2√7) = 8+6√7 = 23.87

Answer:

x=50

Step-by-step explanation:

60+70=130

180-130=50

according to vertical angles x equals 50 degrees

Answer:

12.56 m²

Step-by-step explanation:

Circle with diameter 4 has a radius of 2

Area of Circle = πr²

Area of Circle = 3.14(2²)

Area of Circle = 12.56

El círculo de diámetro 4 tiene un radio de 2

Área del círculo = πr²

Área del círculo = 3,14 (2²)

Área del círculo = 12.56

-Chetan K

Answer:

Part A: f(x) = 1.50x/g(x) = 0.01(3)^x-1

Part B: Option A:  $9 

Part C: Option B:  $1,771.47

Part D: The eighth bushel picked is when the exponential function exceeds the linear function.

Step-by-step explanation:

Part A: Write a function to model each option.

Option A:  f(x) = 1.50x, where x is the number of bushels of apples picked

Option B: g(x) = 0.01(3)^x-1, where x is the number of bushels of apples picked.

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

Part B: If Rachel picks six bushels of apples, which option should she choose?  

Option A:  $9    Option B:  $2.43   

Option A is better since what the number is would be higher.

1.50x6 = 9. If I were to do the same for option b, option a would end up higher.

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

Part C: If Rachel picks twelve bushels of apples, which option should she choose?  

Option A:  $18 Option B:  $1,771.47

After calculating both of them by multiplying by 12 for each, option B ends up to be much better.

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

Part D: How many bushels of apples does Lucy pick to make option B better for her than option A?

The eighth bushel picked is when the exponential function exceeds the linear function.

Answer:

It leaks 420 gallons per hour.

Step-by-step explanation:

7g/m

?/h

7/1 = x/60

(Cross Multiplication)

7 × 60 = x × 1

420 = x

It leaks 420 gallons per hour.

Answer:

3.28 gallons per hour

Step-by-step explanation:

Given that the pipe is leaking at a rate of 7 fluid ounce per minute, and that we need to determine the equivalent leaking rate in gallons per hour.  It is important to establish the necessary conversion rates of fluid ounces (fl oz) to gallons (gal), and minutes to an hour.

Now that we have established the conversion rates, we can set up the following mathematical operations that will allow us to convert the leaking rate from fluid ounces per minute, to gallons per hour. We can express the conversion process in fraction form:

[tex](\frac{7 fl. oz.}{min})[/tex] × [tex](\frac{1 gal}{128 fl. oz.})[/tex] × [tex](\frac{60 min}{1 hr})[/tex]

Start by multiplying the first two fractions together:

[tex](\frac{7 fl. oz.}{min})[/tex] × [tex](\frac{1 gal}{128 fl. oz.})[/tex] = 0.546875 gallons per minute, or 0.546875 gal/min

Next, multiply 0.546875 gal/min by 60 min/hr.  This cancels out the "minute" as a unit of measurement, leaving you with gal/hr.

[tex](\frac{0.546875 gal}{min})[/tex] × [tex](\frac{60 min}{1 hr})[/tex]  = 3.28125 gallons per hour, or 3.28 gal/hr.

Therefore, the pipe is leaking at a rate of 3.28 gallons per hour.

Answer:

The number is 2

Step-by-step explanation:

(22+2)/2=12

6*2=12

May you please give brainliest?

Rewrite 133% as a decimal by dividing by 100:

133% = 1.33

Now multiply:

200 x 1.33 = 266

Answer: 266

133% of 200 = 266

133 of 200 can be written as:

133/200

To find a percentage, we need to find an equivalent fraction with the denominator 100. Multiply both numerator & denominator by 100

Multiply both numerator & denominator by 100 Therefore, the answer is 66.5%If you are using a calculator, simply enter 133÷200×100 which will give you 66.5 as the answer and as we know 66.5 is also known as 226.

source:

https://answers.everydaycalculation.com/percent-is/133-200

Answer:

if its me then i will bye the store. but the answer is 50%

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

77 quarters and dimes

q + d = 77

subtract q from both sides

d = 77 - q

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

A collection of  quarters and dimes is worth $12.50 (1250 cents)

25q + 10d = 1250

substitute for d

25q + 10(77 - q) = 1250

distribute

25q + 770 - 10q = 1250

Combine like terms

15q + 770 = 1250

subtract 770 from both sides

15q = 480

divide both sides by 15

q = 32

Using probability of complementary events, it is found that there is a 0.41 probability that such a person moves to one of the higher income classes fifteen years later.

When two events are complementary, the sum of their probabilities are 1.

In this problem, either a person moves to a higher income class or they do not, hence, the events are complementary.

A similar problem is given at https://brainly.com/question/24084986

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{Guide}\downarrow\\\large\text{10's = X}\\\large\text{20's = XX}\\\large\text{30's = XXX}\\\large\text{40's = XL}\\\large\text{50's = L}\\\large\text{60's = LX }\\\large\text{70's = LXX}\\\large\text{80's = LXXX}\\\large\text{90's = IX}\\\large\text{100's = C}\\\large\text{200's = }CC \\\large\text{300's = CCC}\\\large\text{400's = CD}\\\large\text{500's = D}\\\large\text{600's = DC}\\\large\text{700's = DCC}\\\large\text{800's = DCCC}\\\large\text{900's = CM}\\\large\text{1,000's = M}[/tex]

[tex]\large\textsf{NOW THAT WE HAVE THAT GUIDE/INFORMATION OUT OF}\\\large\textsf{THE WAY, WE CAN ANSWER YOUR GIVEN QUESTION.}[/tex]

[tex]\huge\text{1,052 = \boxed{\rm{\bold{M}LII}}}\huge\checkmark\\\\\\\\\huge\text{450 = \boxed{\rm{\bold{CD}L}}}\huge\checkmark\\\\\\\huge\text{952 = \boxed{\rm{\bold{CM}LII}}}\huge\checkmark\\\\\\\huge\text{942 = \boxed{\rm{\bold{\bold{CM}}XLII}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

what is the question where is the rest of the equation

Step-by-step explanation:

if you respond I will give you the right answer but hope you have a great rest of your night :)❤

Answer:

D

Step-by-step explanation:

Answer:

52.7%

Step-by-step explanation:

If I am correct it means to round the percentage, so it would be 58% if you are rounding it

Answer:

12 inches

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h  where r is the radius and h is the height

113.04 = 1/3*3.14 ( 3)^2 h

113.04 = 9.42 h

Divide each side by 9.42

113.04/9.42 = h

12 = h

12 inches

Answer:

Height = 12 in

Step-by-step explanation:

Volume Cone = 1/3(πr²h)

113.04 = 1/3(3.14)(3²)(h)         [tex]\longmapsto[/tex]           Note that the 1/3 and 9 simplify

113.04 = 3.14(h)(3)

37.68 = 3.14(h)

h = 12

-Chetan K

Answer:

315

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

24-10=14

14x2=28

Answer:

willaim had 28 comic books to begin with

Step-by-step explanation:

So we can take 24-10=  to see how many comics he had before his total of 24  which :

24-10=14

Then we want to find how many he had in the beging so to reverse division we would use multiplication so we would do 14x2=  because a half x a half will equal a whole :

14x2=28

So therefor William started of with 28 comic books

Using the independence between an individual's party affiliation and his support of full-body  scans, it is found that:

a) 57 Republicans would be expected to not support the use of full-body scans.

b) 305 Democrats would be expected to support the use of full-body scans.

c) 18 Independents would be expected to not know or not answer.

The independence between an individual's party affiliation and his support of full-body  scans means that no matter the political party, the proportions for each option would be the same.

In the sample, there are 318 + 369 + 450 = 1137 people.

Item a:

[tex]\frac{170}{3} = 56.67[/tex]

Rounding, 57 Republicans would be expected to not support the use of full-body scans.

Item b:

264 + 299 + 351 = 914 people support the use of full-body scans, hence:

[tex]\frac{914}{3} = 304.67[/tex]

Rounding, 305 Democrats would be expected to support the use of full-body scans.

Item c:

16 + 15 + 22 = 53 people do not know or do not answer, hence:

[tex]\frac{53}{3} = 17.67[/tex]

Rounding, 18 Independents would be expected to not know or not answer.

A similar problem is given at https://brainly.com/question/24372153

Answer:34

Step-by-step explanation:

32+2=34

Answer:

= 34

Step-by-step explanation:

8t + 2 = (4) + 2 = 32 + 2 = 34

that's my answer , i wish my answer helps you

Answer: 4.6

Step-by-step explanation: let the missing length be x

2+2+4.8+4.8+4.8+4.8+.4.8+x=32.6

28+x=32.6

x=32.6-28

x=4.6