At an effective annual interest rate i, i > 0, each of the following two sets of payments has present value K:

a. A payment of 121 immediately and another payment of 121 at the end of one year
b. A payment of 144 at the end of two years and another payment of 144 at the end of three vears.

Calculate i.

Answers

Answer 1

Answer:

Hence the calculated

Step-by-step explanation:

Now,

[tex]121+121v=144v^{2} + 144 v^{3} =K\\121(1+v)=144v^{2} (1+v)\\v^{2} =\frac{121}{144} \\\\v=\frac{11}{12}[/tex]

Then K is calculated as,

[tex]K=121(1+v)\\K=121(1+\frac{11}{12} )\\K=\frac{121(23)}{12} \\\\K= 231.916[/tex]

Here we get,

[tex]i=\left | \left ( \frac{v-1}{v} \right ) \right |\\i=\left | \frac{\frac{11}{12}-1}{\frac{11}{12}} \right |\\i=\frac{1}{11}[/tex]


Related Questions

a piece of ribbon is 5.4 meters long. What will be the length of 8 similar pieces?​

Answers

Answer:

43.2 meters

Step-by-step explanation:

Multiply the length of one piece of ribbon by 8 to determine the total length

5.4 * 8 =43.2 meters

5.4x8=43.2
answer: 43.2 meters


Can someone answer this please

Answers

Answer:

good luck man

Step-by-step explanation:

you will get answers after some time

II ZPQR measures 75', what is the measure of SQR?
22
0 45°
0 539
097

Answers

Answer:

53degrees

Step-by-step explanation:

Find the diagram attached

<PQR = 75degrees

From the diagram'

<SQR + <PQS = <PQR

<SQR + 22 = 75

<SQR = 75-22

<SQR= 53degrees

Hence the measure of <SQR is 53degrees

What’s the area of the rectangle

Answers

Answer:

66

Step-by-step explanation:

You multiply the length and the width. 11 times 6 equals 66

The nth term of a sequence is 5n.
Work out the 10th term of this sequence.

Answers

Answer:

The 10th term is 50

Step-by-step explanation:

5(10) = 50

What is an equation that represents the line that passes through the points (1, 1) and (-2, 7)?

Answers

Answer:
Not sure if this is correct but I hope this helps :)


in rectangle ABCD above,
1. How many opposite sides are equal?
2. Name the parallel opposite sides.
3. Name the opposite angles that are equal.
4. How many right angles can you identify?
5. Identify the equal opposite sides.
6. How many triangles can you identify?
7. Line AB and CD are adjacent to each other.
true or false?
8. the dotted lines AC andBD are called what?

Answers

Answer and Step-by-step explanation:

1. 2 pairs (aka 4 sides) of Opposite Sides are equal

2. AB and DC are parallel, and AD and BC are parallel  

3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal

4. 4 right angles

5. AB and DC are equal, and AD and BC are equal

6. 4 Triangles

7. False

8. Diagonals of a rectangle.

#teamtrees #PAW (Plant And Water)

100 POINTS HELP ME NOW!

Answers

Answer:

[tex]160[/tex]

Step-by-step explanation:

A rectangular prism's surface area is [tex]2(wl+hl+hw)[/tex].

2·(10·5+2·5+2·10)=160.

Answer:

a or c

Step-by-step explanation:

surry if im wrong

really need help quick GR5 question

Answers

Answer:

Amount won : $3,000,000

Step-by-step explanation:

Let the amount won be =100 x

Amount spent on house :

                                     [tex]\frac{4}{5} \ of \ 100 x = 80 x[/tex]

Remaining amount = 100x - 80x = 20x

Amount spent on yacht :

                                    [tex]\frac{3}{4} \ of \ 20x = 15x[/tex]

Remaining amount = 20x - 15x = 5x

Amount spent on a trip :

                                   [tex]\frac{2}{3} \ of \ 5x = \frac{10}{3}x[/tex]

Remaining amount =

                         [tex]5x - \frac{10}{3}x = \frac{15x -10x}{3} = \frac{5x}{3}[/tex]

This amount is given for charity :

                                                     [tex]\frac{5}{3}x[/tex]

But given :

           Amount given to charity is  50000

Therefore ,

                 [tex]\frac{5}{3}x = 50000[/tex]

                [tex]5x = 3 \times 50000\\\\5x = 150000\\\\x = 30000[/tex]

Therefore , the amount won on lottery is = 100x = 100 ( 30000) = 3,000,000

The amount of money he won

If f(x) = 3 x2 + 2 and g(x) = x2 - 9, find (f - g)(x).

Answers

Answer:

2x^2 +11

Step-by-step explanation:

(x) = 3 x^2 + 2

g(x) = x^2 - 9

(f - g)(x) =3 x^2 + 2 - (x^2 - 9)

Distribute the minus sign

             = 3x^2 +2 - x^2 +9

Combine like terms

             = 2x^2 +11

What is the expression in radical form?

(20) 5/2


Enter your answer, in simplest form, in the box.

Answers

I believe the answer is 50

Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

35 is the value of x

How much space does Lacey’s mom cover in frosting?

Answers

1,360 cm^2

Please just trust me, this took me a long amount of time to solve.

Basically this question is asking for the surface area. Just find the area of each face in the figure. Thats what I did.

Keep in mind that if the figure is composite and difficult like this, I separated it into 2 prism in this case.

I REALLY HOPE THIS HELPS

PLEASE SAY IF MY ANSWER IS CORRECT

-SpaceMarsh

(2x+8)-(x-8) PLS HELP

Answers

16 : 2 = 8 so it’s technically 8
X+16


Explanation:


(2x+8)-(x-8)

You would first distribute the - into the (x-8)
-1*x= -x -8*-1= 8

(2x+8)+(-x+8)

Now you combine like terms

2x-x=x 8+8=16

16+x or x+16

What is the value of k in the linear pair below?
A straight line. A line comes out of the line to form angles 104 degrees and k.
A. 14 degrees
B. 76 degrees
C. 104 degrees
D. 180 degrees

Answers

B. I do know if it’s a triangle but 180 degrees is what you need to get to so 104+76=180

Please if your able to solve this pls do. I’d really really extremely appreciate it if someone would!

Answers

Answer:

32

Step-by-step explanation:

1-4

Answer:

1331/x =x²/1331

cros multiplying

x³=1331²

x=³√(1331²)

A rectangle is 1 1/2 length and 4 1/4 width what is the area of rectangle




The numbers are a whole and a fraction that’s why there is a space

Answers

Answer:

6 3/8 units

Step-by-step explanation:

1 1/2* 4 1/4= 6 3/8

Reeba is baking cookies for the bake sale. She bakes 3 ¾ dozen chocolate chip cookies to sell . If Reeba sells ⅔ of the cookies, how many cookies did she sell?

Answers

Answer:

30 cookies

Step-by-step explanation:

Reeba sells [tex]\frac{2}{3}[/tex] of [tex]3\frac{3}{4}[/tex] of 12 chocolate chip cookies.

Let us start by finding [tex]3\frac{3}{4}[/tex] of 12. We simply have to multiply the two numbers. However, it would be much easier if we had an improper fraction than a mixed number. Let us make [tex]3\frac{3}{4}[/tex]  an improper fraction first.

[tex]3\frac{3}{4} =\frac{15}{4}[/tex]

Ok! Let's multiply.

[tex]\frac{15}{4} *\frac{12}{1} =\\15*3\\=45[/tex]

Ok, Reeba baked 45 cookies in total. We know that she sells  [tex]\frac{2}{3}[/tex]  of her baked cookies, so we can again multiply the two numbers.

[tex]\frac{2}{3} *\frac{45}{1} =\\2*15=\\30[/tex]

Therefore, Reeba sold 30 cookies.

I hope this helps! Let me know if you have any questions :)

The functions f(x) and g(x) are defined below. (in the image attached)




Which expression is equal to f(x) + g(x)?

Answers

[tex] \frac{2x - 20}{ {x}^{2} + 6x - 40 } [/tex]

This is the right answer.

Refer to the attachment for the complete work.

Jonah runs 3/6 mile on sunday and 7/10 mile on monday. he uses the model to find that he ran a total of 1 mile. What mistake does Jonah make?

Answers

Jonah should shade 6 parts of 10 equal parts to show 3/5.

Hope this helps! :)

help please. really need answers to understand

Answers

Answer:

hmmmm.... each question here is relatively straight forward, the issue is that these questions basically represent an entire unit (possible two) of an Algebra II class... I can provide answers, but the explanation (if you don't know the basic ideas might be elusive, But I will try to help)

Step-by-step explanation:

1) A = P (1+ r/n) ^ nt

interest equation ... monthly compounding so n = 12 thus r gets divided by 12 and t get multiplied by 12

A = 10,000(1 + .04/12)^(3*12)

A = 10000(1.00333)^36

A = $11,272.71

========================

2) [tex]A = pe^{rt}[/tex]  

A = 15,000 [tex]e^{.06 t}[/tex]

18,000= 15,000 [tex]e^{.06 t}[/tex]

1.2= [tex]e^{.6 t}[/tex]

ln(1.2) = .06t (ln e)

.1823 / .06 = 3.03 years

Note: ln e = 1

==========================

[tex]3^{5x+1} = 27[/tex]

[tex]3^{5x+1} = 3^{3}[/tex]

thus: 5x+ 1 = 3

5x = 2

x = 2/5

==============================

f(x) = 5x - 12

y = 5x - 12

inverse

x = 5y - 12

5y = x + 12

y = 1/5 x + 12/5

=====================

fog(X) =

f(X) =6x+12

g(x) = x^2 + 3

fog(X) = 6(x^2 + 3)+12

           = 6x^2 + 18 + 12

            = 8x^2 + 30

Domain (- infinity, + infinity)

======================

vertex 3x^2 - 6x + 2

verted = [-b/2a, f(-b/2a)]

a=3 , b=-6 , c = 2

-b/2a = 6/6 = 1

f(-b/2a) = -1

vertex = (1,-1)

=======================

30x - .4x^2

-30/-.8 = 37.5

max rev =  30(37.5) - .4(37.5)^2 = $562.5

Mr. Jackson lengthened the fence along the back of his yard. Before he added 130 feet, the fence was 300 feet long. He divided the fence into 5-foot sections.
How many 5-foot sections does he have now?
A. 86
B. 60
C. 26
D. 430
is it A?

Answers

Answer:

The answer is A, 86 sections.

Step-by-step explanation:

Step one : Add the 130 feet on to the 300 feet to find the new length of the fence.

130 + 300 = 430

Step two : find how many 5 foot sections he has now, divide 430 by 5.

430/5 = 86

Mr. Jackson can divide the new fence into 86 5-foot sections.

The answer is A, 86 sections.

What is the slope of the line?

Answers

Answer:

2/3

Step-by-step explanation:

Find two points

(0,-2) and (3,0)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = (0- -2)/(3-0)

  = (0+2)/(3-0)

   = 2/3

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

From the graph, we can see the line passes through the points (3,0) and (0,-2).

The slope of a line, [tex]m[/tex], that passes through points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let [tex](x_1,y_1)\implies (3,0)[/tex] and [tex](x_2,y_2)\implies (0,-2)[/tex].

The slope of the line that passes through these points is:

[tex]m=\frac{-2-0}{0-3}=\frac{-2}{-3}=\boxed{\frac{2}{3}}[/tex]

Find the product of (4z2 + 7z – 8) and (–z + 3).

The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 +
z2 +
z – 24.

Answers

Answer:

-4z^3 + 5z^2 + 29z -24

Step-by-step explanation:

(4z^2 + 7z-8) (-z+3)

would equal -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24

and simplified to -4z^3 + 5z^2 + 29z -24

Answer:

5

29

Step-by-step explanation:

f(x)=[tex]\frac{3}{x+2}[/tex]-[tex]\sqrt{x-3}[/tex]

Answers

f(x) = 3/x+2 - √x - 3

We can put any value of x so, let x be 3

f(3) = 3/3 + 2 - √3 - 3

f(3) = 3/3 + 2 - √0

f(3) = 3/5 - 0

f(3) = 3/5

You can let x be any value of your choice.

A teacher wishes to choose a group of students to help with a presentation. If he needs 2 boys and 3
girls to help with the project and has 14 boys and 12 girls in his classroom, in how many ways can he
make the selection?

Answers

20020 ways

Choosing 2 boys can be done in 14 x 13 = 182 ways.
But this puts them in order ( first and second) which is not required so the unordered number ways is 182 / 2 = 91
Choosing 3 girls can be done in 12 x 11 x 10 = 1320 ways but 3 girls can appear in 3! ways = 6.
The number of unordered selections of 3 girls = 1320 / 6 = 220
The total number of selections is 91 x 220 = 20020.

If you thought the answer was 240240 it is because you used permutations rather than combinations.

If you are still confused, remember choosing Alan and Bruce is the same as choosing Bruce and Alan.
For the girls you could choose CDE, CED, DCE, DEC, ECD OR EDC and still get exactly the same 3 girls.

The Grade 8 students had a graduation dinner. They paid a flat rate of $125 for the use of the hall, plus $13 for each student who attended. The total cost for the dinner was $944.
How many students attended the dinner?
a) Write an equation you could use to solve the problem.
b) Solve the equation.
Verify the solution.



CAN SOMEONE GIVE ME THE ANSWERS AND EXPLANATION FOR THIS QUESTION IN SIMPLE FORM PLEASEEEEEEEEE I CANT FAIL

Answers

Answer:

65

Step-by-step explanation:

Solve x2 – 8x + 15 < 0.

Select the critical points for the inequality shown.

Answers

Answer:

x> 17/8

Step-by-step explanation:

add the numbers

17-8x<0

move the constant to the right-hand side and change its sign

-8x<-17

Divide both side of the inequality by -8 and flip the inequality sign

x>17/8

in Lindsay's class, there were three students who scored 90 on a test and six students who scored 40 on a test. what is the mean of the scores in the class?​

Answers

Answer:

((90*3)+(40*6))/9

=(90+90+90+40+40+40+40+40+40)/9

=66.66

Step-by-step explanation:

A, higher than her sisters score

List the smallest three values in the set below. {x | x ∈ E and x < 30}

Answers

Answer:

Step-by-step explanation:

Notation

We need some notation to make talking about sets easier. Consider,

A

=

{

1

,

2

,

3

}

.

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