You recently invested $400,000 of your savings in a security issued by a large company. The security agreement pays you 12% per year and has a maturity of five year from the day you purchased it. What is the total cash flow you expect to receive from this investment, if compounded quarterly, separated into the return on your investment?

Answers

Answer 1

Answer:

$722444.49386776

Step-by-step explanation:

Use Compound Intrest Formula

[tex]a = p(1 + \frac{r}{n} ) {}^{nt} [/tex]

where p is the original amount.R is the amount of percentage compoundedN is amount of times compounded per year.T is how long the interest last.

P is 400,00p

T is 12% or 0.12

N is 4 since it is compounded quarterly

T is 5.

Plug the values in

[tex]400000(1 + \frac{0.12}{4} ) {}^{20} [/tex]

Ypu get

$722444.49386776


Related Questions

During each summer, many families spend part of their vacation time at a beach along the East or West Coast. Due to the popularity of movies like Jaws and The Shallows, and publicity about recent shark attacks on surfers, swimmers, snorkelers, and spearfishermen, Americans have become increasingly concerned about water activities. Research suggests that 58% of all shark attacks involve surfers. One thousand records of shark attacks are selected, and each is categorized by the victim group. Identify the population, sample, and variable for the study.
Population Sample Variable
a. all families who spend part of their vacation at a beach along the East or West coast
b. Americans who are concerned about water activities
c. the percentage of shark attacks that involve surfers
d. the set of groups to which the victims of shark attacks belong
e. all shark attacks
f. the 1000 records of shark attacks that were examined

Answers

Answer:

Population = e. all shark attacks.

Sample = f. the 1000 records of shark attacks that were examined.

Variable = d. the set of groups to which the victims of shark attacks belong.

Step-by-step explanation:

The population in a particular study refers to the entire set of people to which the research study encompasses, that is all those who are eligible to be a part of the study or those who the study relates to and the outcome of the study Cann be applied to them. In the research study described above, the population of the study is all events of shark attacks.

The sample is a subset of the larger population ; the subset selected in the scenario above is the 1000 records examined out of all the events of shark attacks.

The variable in the study may refer to a set of independent variables which is according to the scenario is the set of groups to which victims of shark attack belong.

Oakton Manufacturing makes two types of rocking chairs specifically designed for men and women known as the His and Hers models. Each chair requires four legs and two rockers but differing numbers of wooden dowels. Each His chair requires four short dowels and eight long dowels while each Hers chair requires eight short dowels and four long dowels. Each His chair contributes $10 in profit while each Hers chair contributes $12. The company has 900 legs, 400 rockers, 1200 short dowels, and 1056 long dowels available. The company wants to maximize its profit while also ensuring that it makes at least half as many His chairs as Hers chairs.

Required:
a. Formulate an LP model for this problem.
b. Sketch the feasible region for this problem.
c. Find the optimal solution.

Answers

Answer:

x  =  76    y  =  112     z (max)  =  2104 $

Step-by-step explanation:

                               legs    rockers    short dowels     long dowels  Profit $

Model His (x)           4           2                   4                          8                10

Model Her (y)           4          2                    8                          4                12

Availability             900      400              1200                    1056

From the table above we find z

Objective Function z :

z  =  10*x  +  12*y    to maximize

Subject to

Constraint  1  quantity of legs available: 900

4*x +4*y ≤ 900

Constraint  2  quantity of rockers available:  400

2*x +  2*y  ≤ 400

Constraint  3  quantity of short dowels available: 1200

4*x  8*y  ≤  1200

Constraint  4  quantity of long dowels available: 1056

8*x  +  4*y  ≤ 1056

Constraint 5 condition between  x  and y

x  ≥  0.5*y

The model:

z  =  10*x  +  12*y    to maximize

Subject to:

4*x +4*y ≤ 900

2*x +  2*y  ≤ 400

4*x  8*y  ≤  1200

8*x  +  4*y  ≤ 1056

x  ≥  0.5*y        or    x  - 0.5*y ≥ 0

General constraints:

x  ≥ 0   y  ≥ 0  both integers

After 6 iterations with AtomZmath on-line solver optimal solution is:

x  =  76    y  =  112     z (max)  =  2104 $

You currently have a balance of $34 in your checking account. You then write a check for $76 dollars to pay for groceries. Finally, you deposit a check for $30.

What is your new balance?

Answers

Answer:

Correct me if I'm wrong but I'm sure it's -12

Step-by-step explanation:

34+30= 64

64-76= -12

Find the area of the isosceles trapezoid shown below.
9 cm
6 cm
4.5 cm

Answers

Answer:

area = 40.5 cm^2

Step-by-step explanation:

A quick calculation tells me it is none of them

Area = 6*(9 + 4.5) / 2

Area = 3*13.5

Area = 40.5

Determine the derivatives of g(x)=-3x at any point by using first principle

Answers

Answer:

[tex]{ \tt{g(x) = - 3x}} \\ { \tt{g(x + h) = - 3(x + h)}} \\ \\ { \bf{ \binom{ \frac{ \delta \: y}{ \delta \: x} }{lim \: h→0} = \frac{g(x + h) - g(x)}{h} }} \\ \\ { \tt{ = \frac{ - 3(x + h) - ( - 3x)}{h} }} \\ \\ { \tt{ = \frac{ - 3x - 3h + 3x}{h} }} \\ \\ { \tt{ = \frac{ - 3h}{h} }} \\ \\ { \tt{ = - 3}} \\ { \bf{h→0, \: \frac{ \delta \: y}{ \delta \: x} = \frac{dy}{dx} }} \\ \\ { \tt{ \frac{dy}{dx} = - 3 }}[/tex]

Which of the folloing pairs consists of equivalent fractions? .4/6 and 3/5 or 9/16 and 3/32 or 18/48 and 15/40 or 7/10 and 10/7

Answers

Answer:

18/48 and 15/40

Step-by-step explanation:

18/48 = 3/8

15/40 = 3/8

•°• 18/48 is equivalent to 15/40

100 Brainly points!! Need help ASAP :)

In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B’. What is the scale factor of dilation?

A. 1
B. 2
C. 0.5
D. -0.5

Answers

Answer:

B

Step-by-step explanation:

I'm not really shure tho

Answer:

D. -0.5

Step-by-step explanation:

AB dilated by scale factor -0.5 to produce AB'.

the length of AB = 4 units and the length of AB' = 2 units, the direction is backward, so the scale factor is - 2/4 = -0.5

can someone pls help me quickkk

Answers

Answer:

(-4) ^6

Step-by-step explanation:

(-4)*(-4)*(-4)*(-4)*(-4)*(-4)

There are six (-4)'s multiplied together

(-4) is the base and 6 is the exponent

(-4) ^6

Answer:

A.(-4)^6

Step-by-step explanation:

-4 is being multiplied by itself 6 times

So you would get rid of all but one negative for and add ^-6

Which choices are correct when determining the distance between −56 and −31?

Answers

Answer:

I dont know sorry so much

As a manager of a company you are given 2 estimates for the annual firm’s profits: 1) Estimate A predicting that the mean profit would be between $1mil and $1.5 mil which is a 95% confidence interval; 2) Estimate B that the annual profits are between $1.2 mil and $1.4 mil, a 93% confidence interval. Which of the two estimates is more accurate and why?

Answers

Answer and Explanation:

A confidence interval determines the probability that a range of values(e.g-given a large data set )has the true parameter. Example, to find mean of height of 30+ men, our confidence interval will say that there is 96% confidence that the mean height of 30+ men is between 5ft and 6ft. While confidence intervals, narrow or broad with high or low significance levels may not be akin to accuracy, it will only help to determine the precision or otherwise of our estimate. For example, if confidence interval is narrow as in second option and confidence level is lower, it only narrows down our options to ascertain the true mean or parameter we are investigating and doesn't exactly affect accuracy since we are still not 100% confident our true mean lies in this interval.

I got 7 to go :( help plz

Answers

Answer:

I think the second one is the answer ; 2√b

The 2nd one is the answer i’m pretty sure.

Select the correct answer from the drop-down menu. Consider this system of linear equations: y − x = -13 -4x + 3y = -51 The solution of the system of equations is .

Answers

Answer:

b

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Somebody help please.

Answers

Answer:A

Step-by-step explanation: The formula for finding volume is LxWxH. 21x 11 is 231, and since one side is 11 so will the other side be, and then you get 2,541 m cubed.

I NEEEEED HELP!!!!!!

Answers

can you take a better photo?

What is the probability of spinning a yellow?

Answers

There are 8 triangles in this circle

An entire circle = 360 degrees

360/8=45

So I think the answer should be 45%

Answer:

number of total colour = 8

number of yellow colour = 1

the probability of spinning a yellow is :

p(y) = 1/8

in percentage it will be :

(1×100)/8

= 12.5 %

MATH PROBLEM 20 POINTS

Answers

The correct answer is D. x=9

The angles of a square are right angles (90 degrees) so it would be set up as 90=11x-9. Then you would combine like terms and solve.

If a book costs N10,000, at what price will the book be sold to make a profit of 15%?

Answers

Here,
We have,
Cost price of a book (CP) = N10,000
Profit percent (p%)= 15%
Now,
Using profit percent formula we get,
P% = (Sp-Cp)/ Cp*100
15 = (Sp-10,000)/10,000*100.
15*10000=100Sp-1000000
150000+1000000=100Sp
1150000/100=Sp
Sp=11500

Hence,
A book should be sold at 11500

Answer:

11,500

Step-by-step explanation:

cost price of a book (CP) = 10000

profit percent = 15%

selling price of a book (SP) = ?

SP = CP + profit% of CP

=10000 + 15 / 100 * 10000

=1000000 + 150000/100

=1150000/100

=11500

Therefore, the book will cost 11,500

Divide using a common factor of 2 to find an equivalent fraction for

Answers

Answer:

2/10ths?

Step-by-step explanation:

then it would be 1/5th

There are 24 chairs in a room numbered 1 through 24. If nine girls and 15 boys sit on these chairs at random, what is the probability that the thirteenth chair is occupied by a boy?

Answers

Answer:

[tex]5/8[/tex]

Step-by-step explanation:

Since all the people sit on the chairs at random, the probability of a certain chair being occupied by a boy is equal to the probability of randomly picking a boy from the class. Since there are 24 people total and 15 of them are boys, there is a [tex]\frac{15}{24}=\boxed{\frac{5}{8}}[/tex] chance that the thirteenth chair is occupied by a boy.

A woman's age is thirteen more than half of 60.How old is she?

Answers

Answer:

half of 60 is 30

13 more than that is

13+30=43

so the answer is 43

Step-by-step explanation:

hope it helps you

. Cho S là ngoại diên của khái niệm con người, p(x,y) = x yêu thương y.
1) Viết các phán đoán sau đây dưới dạng công thức:
a) Nhiều người yêu thương A. (Thay A bằng chính tên của em).
b) A yêu thương nhiều người. (Thay A bằng chính tên của em).

Answers

B làm k cho mình KQ với

the population of a town increases at a rate proportional to its population with an initial population of 1000. The corect initial value problem for the population p(t) as a function of time is

Answers

Answer:

This means that the correct initial value problem for the population p(t) as a function of time is is [tex]P(0) = 1000[/tex]

Step-by-step explanation:

The population of a town increases at a rate proportional to its population:

This means that this situation is modeled by the following differential equation:

[tex]\frac{dP}{dt} = kP[/tex]

In which k is the growth rate.

By separation of variables, the solution is given by:

[tex]P(t) = P(0)e^{kt}[/tex]

In which P(0) is the initial population.

Initial population of 1000.

This means that the correct initial value problem for the population p(t) as a function of time is is [tex]P(0) = 1000[/tex]

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given.

a = 8; r = -5

Answers

Answer:

[tex]a_n = 8(-5)^{n-1}[/tex]

The fifth term of the sequence is 5000.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio. The nth term of a geometric sequence is:

[tex]a_n = a_1(r)^{n-1}[/tex]

a = 8; r = -5

Thus:

[tex]a_n = a_1(r)^{n-1}[/tex]

[tex]a_n = 8(-5)^{n-1}[/tex]

Fifth term:

This is [tex]a_5[/tex]. So

[tex]a_5 = 8(-5)^{5-1} = 5000[/tex]

The fifth term of the sequence is 5000.

Which of the following are situations that can be modeled with a quadratic function? Select all that apply.

Answers

I attached the answers!! Have an awesome day!!

A jug is 80% full of water. After 360 millimeters of water are poured out, the jug is 60% filled with water. What is the capacity of the jug?
15 POINTS!!

Answers

Answer:

1800ml

Step-by-step explanation:

Given data

let the capacity of the Jug be x millimeters

from 80% to 60% = 20%

Since 20% of the capacity is equivalent to 360ml

the 100% will be x ml

cross multiply we have

360*100= 20*x

x= 36000/20

x= 1800ml

Hence the capacity of the jug is 1800ml

Given that 9x – 6y= 19
Find y when x=-6
Give your answer as an improper fraction in its simplest form.

Answers

[tex] \orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}} [/tex]

Given that 9x – 6y= 19

Find y when x=-6

[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]

[tex] \red{Equation - > } \\ \blue{9x – 6y= 19} \\ \purple{x = - 6 \: \: (given)}[/tex]

[tex] \tiny\pink{SO \: PUTTING \: VALUE} \: \orange{OF \: x \: FOR \: \: VALUE \: OF \: y}[/tex]

[tex] \red{Equation - > } \\ \blue{9x – 6y= 19} \\ {9( - 6) – 6y= 19} \\ - 54 - 6y = 19 \\ 6y = - 54 - 19 \\ - 73 = 6y \\ \green{ \frac{ - 73}{6} = y}[/tex]

[tex] \red{VARIFICATION - > }[/tex]

PUTTING VALUES IN EQUATION TO VARIFY THE ANSWER:-

[tex] \pink{Equation - > } \\ \blue{9x – 6y= 19} \\ \purple{x = - 6 \: \: (given)} \\ \green{y = \frac{ - 73}{6}} [/tex]

PUTTING VALUE

[tex] \pink{Equation - > } \\ \blue{9x – 6y= 19} \\ 9( - 6) - 6( \frac{ - 73}{6} ) = 19 \\ - 54 \cancel{-}^{ \tiny{+} } \cancel{6} \frac{ \cancel{- }73}{ \cancel{6}} = 19 \\ - 54 + 73 = 19 \\ 19 = 19 \\ \orange{L.H.S} \purple{=} \green{ R.H.S}[/tex]

Answer:

y = 73 / -6

Step-by-step explanation:

Given ;

9x - 6y = 19

Where, x = - 6

Solve for y

9x - 6y = 19

plug the value of x

9 ( -6 ) - 6y = 19

- 54 - 6y = 19

Add 54 to both sides

- 54 + 54 - 6y = 19 + 54

-6y = 73

divide both side by -6

-6y / -6 = 73 / -6

y = 73 / -6

Jeans are on sale for 20% off the regular price. Which function would give you the total cost for purchasing a pair of jeans that costs x dollars?

Answers

Answer:

0.8X = Final cost

Step-by-step explanation:

Given that jeans are on sale for 20% off the regular price, to determine which function would give you the total cost for purchasing a pair of jeans that costs X dollars, the following calculation must be performed:

1X = Initial cost of the jeans

20% = 0.2

1 - 0.2 = 0.8

0.8X = Final cost

Which is the graph of f(x) =3 sqrtx/4?

Answers

Step-by-step explanation:

f(x) = 3√x /4

x=0 => y = 0

x=1 => y = 0.75

x=4 => y = 1.5 ==> (4, 1.5)

x=16=>y= 3

the right answer is the second graph

Which of the following is NOT an example of a repeated-measures design?

a researcher tests the memory performance of students before and after their first year of high school

a researcher tests symptoms of anxiety before and after a new therapeutic treatment

a researcher measures self-perception before and after participants take a Zumba class

a researcher tests whether individuals from Generation Z use social media in ways that are different from Millenials

Answers

B is correct because I know

Answer:

its D

Step-by-step explanation:

the research is done on two groups seeing what they do on the same platform and isn't on before and after results of one subject

Data with 950 observations are drawn from a bell-shaped distribution with a mean of 78 and a standard deviation of 19. Approximately how many observations are more than 116

Answers

Answer:  there are 22 observations that are more than 116.

Step-by-step explanation:

Let x be the random variable.

Given: Sample size = 950

Mean = 78

Standard deviation = 19

The probability that the observations are more than 116 is given by :-

[tex]P(X>116)=P(\dfrac{X-mean}{standard \ deviation}>\dfrac{116-78}{19})\\\\=P(Z>2)\\\\=1-P(Z<2)\\\\=1-0.9772\ \ \ [\text{Using p-value calculator}]\\\\=0.0228[/tex]

Number of observations are more than 116 = [tex]0.0228\times950[/tex]

[tex]=21.66\approx22[/tex]

Hence, there are 22 observations that are more than 116.

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