Current Attempt in Progress Present value. On the first day of your college career you decide that you want to make one deposit into a mutual fund so that exactly four years later you have enough to purchase a car costing $30000. Given that the account will generate a yield of 4.7% interest compounded monthly, what should your initial deposit be in order to have that big pot of money at graduation? Round the answer to two decimal places. Check your answer by plugging into initial equation to be sure you would not be short of $30000. _____________ $

Answers

Answer 1

Answer:

You will need to invest $24,867.52 at the beginning to reach the future value of $30,000.00.

Step-by-step explanation:

a) Data and Calculations:

Future value for the purchase of a car = $30,000

Interest rate = 4.7%

Monthly interest = 0.39167% (4.7%/12)

Period of interest = 48 months (12 * 4)

FV (Future Value) $30,000

PV (Present Value) $24,867.52

N (Number of Periods) 48.000

I/Y (Interest Rate) 0.392%

PMT (Periodic Payment) $0.00

Starting Investment $24,867.52

Total Principal $24,867.52

Total Interest $5,132.48


Related Questions

Urgent!! Find the length of B by using the Pythagorean Theorem

Answers

Answer:

Step-by-step explanation:

24^2 + b^2 = 40^2

576 + b^2 = 1600

b^2 = 1024

b = 32

32

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

a= 24 , b= b , c=40

In order to find b, you have to change the equation a bit. Your new equation will look like [tex] {c}^{2} - {a}^{2} = {b}^{2} [/tex]

here is the step by step now

[tex] {40}^{2} - {24}^{2} = {b}^{2} [/tex]

[tex] {1600} - {576} = {b}^{2} [/tex]

[tex] {1024} = {b}^{2} [/tex]

**now you need to take the square root of both sides and you get 32**

A package of 24 pencils costs $3.60. What is the cost per pencil?

Answers

Answer:

6.66666666667

Step-by-step explanation:

Answer: 6.66

Step-by-step explanation: because you have to divide 24/3.6

Each sentence shows the number of pages a student reads a book and the amount of time it takes to read those pages.

Answers

Answer:

65 mins

Step-by-step explanation:

I well help anyone because I’m a hero and I well always be one thanks to all of you

Match the terms to their definition.

1. speed
a rate with a denominator of 1; a rate that shows an amount of something compared to 1 of something else
2. rate
an average rate comparing distance to time
3. unit rate
a type of ratio that compares two different kinds of quantities or numbers
4. complex fraction
a fraction with fractions in both the numerator and denominator

Answers

Answer:

2 goes to a type of ratio that compares two different kinds of quantities or numbers

Step-by-step explanation:

a type of ratio that compares two different kinds of quantities or numbers

Unit rate - A rate with a denominator of 1; a rate that shows an amount of something compared to 1 of something else

Rate- A type of ratio that compares two different kinds of quantities or numbers

Speed- An average rate comparing distance to time

Complex fraction- a fraction with fractions both in the numerator and denominator


Hope this helps! (

Properties to solve an equation

Answers

What is the equation? I would give you the properties but I don’t know the equation. Try editing your question.

You are looking for your first credit card. You plan to use this credit card only for emergencies and to pay the credit card balance in full each month. Which credit card feature is most important?
a.
No annual fee
b.
Low APR
c.
Generous rewards program
d.
No balance transfer fee



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

A    No Annual Fee

Step-by-step explanation:

Edge 100%

Pappi

Determine whether f(x) = 4x^2 – 16x + 6 has a maximum or a minimum value and find that value.
a
maximum; –10
b
minimum; –10
c
maximum; 2
d
minimum; 2

Answers

Answer:

minium:-2................

The function f(x) = 4x² – 16x + 6 has a minimum value is –10 when the value of x is 2. Then the correct option is B.

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

The function is given below.

[tex]f(x) = 4x^2 -16x + 6[/tex]

Differentiate the function, then we have

[tex]\dfrac{d }{dx} f(x) =\dfrac{d}{dx}(4x^2 -16x + 6) \\\\ \dfrac{d }{dx} f(x) =8x - 16 \\[/tex]

The value of x will be

[tex]8x - 16 = 0\\x = 2[/tex]

Then again differentiate the function, if the value comes negative then maxima and if the value is positive then minima.

[tex]f''(x) = \dfrac{d }{dx} f'(x) \\\\f''(x)=8x - 16 \\\\f''(x) = 8\\\\ f''(x) > 0[/tex]

Then the function is minimum at 2.

More about the differentiation link is given below.

https://brainly.com/question/24062595

-3x + 7 y = -16
-9x + 5y = 16

Answers

Answer:

x = -4y = -4

Step-by-step explanation:

-3x + 7y = -16   (-3)  to eliminate x

-9x + 5y = 16

9x - 21y = 48

      -16y = 64

           y = 64/-16

           y = -4

substitute y= -4 into eq. 1

-3x + 7y = -16

-3x + 7(-4) = -16

-3x = -16 + 28

  x = 12 / -3

  x = -4

check:

-3(-4) + 7(-4) = -16

- 16 = -16 ok

-9x + 5y = 16

-9(-4) + 5(-4) = 16

16 = 16  ok

Answer:

x=44/3, y=4

Step-by-step explanation:

Assuming you have to solve for x and y

-3x+ 7y = -16 (1)

-9x+ 5y =16 (2)

multiply (1) by -3 and add it to (2)

9x-21y=48

-9x+5y=16

Add up and get

-21y+5y=48+16 combine like terms

16y=64 divide both sides by 16 and get

y=4

Substitute y=4 in (1)

-3*x+7*4=-16

28+16=3x

44=3x

x=44/3

When a stone is dropped in a pond, ripples are formed and travel in concentric circles away from where the stone was dropped. The equation of the least-squares regression line is Area = 0.010 + 3.141 (Time^2) . What is the predicted area, in cm2, of the circle 8 seconds after the stone was dropped?


A. 25.14cm^2

B. 50.27 cm^2

C. 64.01 cm^2

D. 201.03 cm^2

Answers

Answer: D.

Step-by-step explanation: calculator

Answer:

d) 201.03

Step-by-step explanation:

Which show a way to factor the expression 32t-48? Select all that apply.
A 2(16t-24)
B 4(12t-48)
C 6(26t-42)
D 8(4t-6)
E 16(2t-3)

Answers

The answer is A and E

Please give me the correct answer.​

Answers

Answer:

First ?: 4

Second ?: -6

Step-by-step explanation:

40-40=0, which leaves 4n left.

34-40=-6

The final answer would be n= 3/2.

-4/5 x -7/6
Please help!

Answers

Answer:

0.93333333333

Step-by-step explanation:

-4/5 = 0.8

-7/6 = 1.16666666667

-1.16666666667 x -0.8 = 0.93333333333

0.93333333333 is the answer !

Solve the system of equations.
14r + 5y = 31
2r - 3y = -29

Answers

My work for your question

Which best describes the expression b(4-n)?

Answers

Answer:

4b−bn

Step-by-step explanation:

Can i have brainliest pls?


If the expression ax^4 + bx^3 – x² + 2x + 3 has a remainder
3x+5
when it is divided x^2-x-2 find the values a and b

Answers

There's probably a more efficient way to do it, but the following method works.

First, note that

x² - x - 2 = (x + 1) (x - 2)

Now use synthetic division to divide

a x⁴ + b x³ - x² + 2x + 3

by the two factors above.

Division by x + 1 :

-1   |   a           b               -1                   2                3

…   |               -a          a - b      -a + b + 1      a - b - 3

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

…   |   a      b - a     a - b - 1      -a + b + 3           a - b

which is to say,

(a x⁴ + b x³ - x² + 2x + 3) / (x + 1)

= a x³ + (b - a) x² + (a - b - 1) x + (-a + b + 3) + (a - b) / (x + 1)

Division by x - 2 :

2   |    a        b - a           a - b - 1          -a + b + 3

…   |                 2a          2a + 2b       6a + 2b - 2

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

…   |    a       a + b        3a + b - 1       5a + 3b + 1

meaning,

(a x³ + (b - a) x² + (a - b - 1) x + (-a + b + 3)) / (x - 2)

= a x² + (a + b) x + (3a + b - 1) + (5a + 3b + 1) / (x - 2)

Putting everything together, we have

(a x⁴ + b x³ - x² + 2x + 3) / (x² - x - 2)

= a x² + (a + b) x + (3a + b - 1) + (5a + 3b + 1) / (x - 2) + (a - b) / (x² - x - 2)

Combine the remainder terms:

(5a + 3b + 1) / (x - 2) + (a - b) / (x² - x - 2)

= ((5a + 3b + 1) x + (6a + 2b + 1)) / (x² - x - 2)

We're given that the remainder is 3x + 5, so

5a + 3b + 1 = 3

6a + 2b + 1 = 5

Solve this system for a and b :

5a + 3b = 2

6a + 2b = 4

5a + 3b = 2

3a + b = 2

5a + 3b = 2

-9a - 3b = -6

(5a + 3b) + (-9a - 3b) = 2 + (-6)

-4a = -4

a = 1

5 • 1 + 3b = 2

3b = -3

b = -1

Which equations listed below contain like terms?
A. 2c-4x=13
B. 14p-3p=9
C. 12(13v-13)+3=14
D. 77-2x+ 15-3x=29

Answers

Answer:

B

Step-by-step explanation:

14p and 3p have the same variable

8 pencils and one eraser cost $1.35 and 6 pencils and one eraser cost $1.05. How much does one pencil cost?

Answers

Answer:

one pencil cost  $0.15

Step-by-step explanation:

Answer: $0.15 and/or 15 cents

Explanation: If you use common sense, information provided, and basic math, you notice that after 2 pencils were removed the total cost dropped 30 cents/$0.30; therefore, after 2 pencils are taken away the cost drops 30 cents and to find the price for one pencil all you have to do is divide 30/2 and you get 15 cents and/or $0.15.

Which of the following best describes the slope of the line below ?
A) Undefined
B) Positive
C) Negative
D) Zero ​

Answers

I think b positive let me know if it is correct
the answer would be C) zero slope

I WILL MARK U BRAINLIEST ANSWERRRRRR PLS

Answers

Answer:

11000

Step-by-step explanation:

Keep the ratio and multiply. I will explain more later but you needed the answer

Answer:

The answers are correct so what do I do now?

Step-by-step explanation:

Please mark as brainliest

its due in 1 hour please i need help i give brainliest 2/9 x 3/10 *


This is a required question
There are 10 students in a class. 1/2 of the class are playing a game. How many of the students are playing the game? *

6/10 ÷ 1/2 *

3/5
8/10 ÷ 4/5 *


This is a required question
0.56 + 1.452

Aliyah has 19.8 feet of rope. She uses a 13.5 foot piece to hang a plant. How much rope does she have left?
0.9 ÷ 0.3

What does 4 cubed look like written out?

What does 12 to the fourth power look like written out? *

Answers

1. 5 students are playing the game

2. (6/10)/(1/2)
this can be rewritten as (6/10)*(2)
u get 12/10 or 6/5 or 1 1/5

3. (8/10)/(4/5)
this can be rewritten as (8/10)*(5/4)
8*5=40
10*4=40
40/40=1 is the answer

4.
.56+.1.452=
2.012

5. rope problem
19.8-13.5=6.3 feet of rope left

6. .9/.3 = 3

7. 4^3

8. 12^4

An artist sculpted a scale model of a giraffe for the zoo gift shop. The artist used the scale 1 inch: 4 feet to create the scale model giraffe. The actual giraffe at the zoo is 20 feet tall.

How tall is the scale model giraffe in inches?

Enter your answer in the box.
inches

Answers

Answer:

The scale model giraffe is 5 inches tall.

Step-by-step explanation:

To determine the size of the giraffe sculpted by the artist, knowing that it has been built on a scale of 1 inch for every 4 feet, and knowing that the real giraffe in the zoo is 20 feet, the following calculation must be performed:

20 feet / 4 inches = X

5 = X

Therefore, the size of the giraffe sculpted to scale by the artist is 5 inches.

Example 5 Given m angle7=38^ and m angle10=102^ the measure of each missing angle

Answers

angle 1 - 78

angle 2- 102

angle 3- 78

angle 4- 102

angle 5- 38

angle 6- 142

angle 8- 142

angle 9- 78

angle 11- 78

angle 12- 102

angle 13- 38

angle 14- 142

angle 15- 38

angle 16- 142

What is the greatest common factor of 72 and 34?

Answers

Answer:

2 is GCF

Step-by-step explanation:

The greatest common factor of 72 and 34 is 2

What is greatest common factor ?

GCF means Greatest Common Factor.

By one examples we can understand this concept more easily.

We are taking four numbers 20,50,70,100.

By prime factorisation,

[tex]20 = 2 \times 2 \times 5 \\ 50 = 2 \times 5 \times 5 \\ 70 = 2 \times 5 \times 7 \\ 100 = 2 \times 2 \times 5 \times 5[/tex]

Here greatest common factor of 20,50,70 and 100 is [tex](2 \times 5) = 10[/tex]

So,GCF of 20,50,70 and 100 is 10.

Here numbers are 72 and 34

By prime factorisation,

[tex]72 = 2 \times 2 \times 2 \times 3 \times 3 \\ 34 = 2 \times 17[/tex]

So, greatest common factor of 72 and 34 is 2

So,GCF of 72 and 34 is 2

Greatest common factor related one more question:

https://brainly.com/question/11444998

#SPJ2

Pls help due tomorrow just numbers 7 - 12

Answers

Answer:

Step-by-step explanation:

7). 5.75% = [tex]\frac{5.75}{100}[/tex] = [tex]\frac{575}{10000}[/tex] = [tex]\frac{23}{400}[/tex]

10). [tex]16\frac{2}{3}[/tex] % = [tex]\frac{50}{3}[/tex] % = [tex]\frac{50}{300}[/tex] = [tex]\frac{1}{6}[/tex]

12). [tex]79\frac{5}{6}[/tex] % = [tex]\frac{479}{6}[/tex] % = [tex]\frac{479}{600}[/tex]

Now is you turn. You can do it!

what negative 8 in graphing

Answers

Answer:

The 8 is in the quadrant III and IIII

Step-by-step explanation:

CAN SOMEONE TRANSLATE THIS INTO NUMBERS PLZ ITS DUE IN 10 minutes

Twice a number plus nine is negative seventeen.

Answers

Answer:

2x+9=-17

Step-by-step explanation:

hopefully this helps :)

Answer: I’m not sure what the number is but it’s a negative number, probably somewhere around 26. Take 9 from it and you will get 17.

Step-by-step explanation:

given the side lengths
of 10, 24,26, determine whether the triangle is acute, right, obtuse or not a triangle.

Answers

Answer:

Right angled triangle

Step-by-step explanation:

Longest side = hypotenuse = 26

26² = 676

24² + 10² = 576+ 100

               = 676

               = hypotenuse²

As Pythagorean rule is satisfied, this makes an right angled triangle

Hansika paid $9.25 for 2.8 pounds of pretzels. About how much did she pay for a pound of pretzels? ( Round your answer to the nearest whole number )
$2.00
$3.00
$4.50
$5.00

Answers

Answer:

3.00

Step-by-step explanation:

Rounding down

Answer:

$3.00

Step-by-step explanation:

shaminapodiepooo

Which values of k are solutions to the inequality?



k>12



Select each correct answer.



k = 11.9

k = 12.1

k = 13.0

k = 19.9

k = 10.2

Answers

Answer:

B: k = 12.1

C: k = 13.0

D: k = 19.9 ARE THE CORRECT ANSWERS

Step-by-step explanation:

Answer:B: k = 12.1

Step-by-step explanation:

Mathematics

12g - 16 =

Answers

Answer:

g= -4 is correct answer

Other Questions
My friend was very happy when she met her favorite actor yesterday. What is the independent clause in the sentence? * who sings That song elewife What is the product of -8/9 x -6/7 Mis pasatiemposA. Cierto o falso? You must determine whether the sentence is true or false (cierto o falso). Write in the letter C if it's true and F if it's false either to the side of the sentence or underneath the sentence. 1. Gustavo es muy activo.2. Martina juega ftbol los sbados.3. Gustavo tiene un perro.4. Miguel toca la guitarra.5. Rosa tiene hermanas.6. El novio de Martina toca en una banda. 7. A Martina le gusta leer.8. Rosa no canta.9. Miguel nada los mircoles.10. Martina hace yoga.B. In Spanish, write down one activity you do per day. Some verbs you can use are jugar, pasar tiempo, correr, caminar, comer and there are many others. Also, remember to conjugate the verb to the yo form (you) Los lunes ________________________________________.Los martes ____________________________________________. Los miercoles __________________________________________. Los jueves __________________________________________. Los viernes __________________________________________. Los sabados __________________________________________. Los domingos __________________________________________. In recent decades, the traditional family has been replaced by a. dual-earner families. e, childless families. b. one-parent families d all of the above Please select the best answer from the choices provided O A Can someone pls help me with this pls Ill mark the brainliest Which best describes how to find an equation of the line shown?A. The slope m is rise over run, so y over x =m. Solve for Y to get y=mx.B. The slope m is run over rise, so x over y=m. Solve for x=ym.C. The slope m is run over rise, so x over y=m. Solve for y to get y= x over m.D. The slope m is rise over run, so x over y=m. Solve for x to get x=ym. When water freezes and becomes a solid, the atoms are they a/move more freely.b) move less freely. A fellow student offers to sell you the answers to last year's test for $20. You dont know if the test is different each year. Do you buy them? Give 3 reasons why or why not. i might give you brainliest if you nailed it Which statement best describes what happens when a person sees an orange t-shirt?The t-shirt absorbs orange light from human eyes.Human eyes reflect orange light back to the t-shirt.Orange light reflected from the t-shirt enters human eyes.Orange light absorbed by the t-shirt is perceived by the human eyes. KONGThe population of Kingsfield grew from 5,400 people to7,200 people in one year. During the same time, thepopulation of Queensville dropped from 24,000 people to19,600 people. If these rates continue, how many yearsbefore the two towns have the same population? The model below represents an equation.2 long x tiles and 3 square 1 tiles = 3 long x tilesWhich represent like terms in the model of the equation? 2 long x tiles and 3 square 1 tiles2 long x tiles and 3 long x tiles3 long x tiles and 3 square 1 tiles1 long x tile and 1 square 1 tile What is being compared or contrasted in this excerpt? Read this excerpt from an adaptation of "The Fox and the Cat" from Aesop's Fables. Identify three Instances of stage directions that explain thepositions of the characters..(A cat and a fox are in a forest. They are standing in front of a backdrop with trees. On stage left there is a large tree. The cat looks at the fox inadmiration. The fox is center stage. The cat approaches the fox)CAT: (Thinking aloud to herself as she walks) He is clever and full of experience. He is much esteemed in the world.CAT: (Speaking to the fox in a friendly way) Good day, dear Mr. Fox. How are you? How are you getting on in these hard times?(The fox looks at the cat from head to foot. There is a long pause before he replies.)FOX: (Arrogantly) oh, you wretched and hungry mouse hunterl What can you be thinking of? How dare you ask me how I am getting on? Whatsort of education have you had? How many arts do you understand?CAT: (Modestly, I understand but one.FOX: What art is that?CAT: When the hounds are following me, I can spring into a tree and save myself.FOX: (Laughing) Is that all? I am master of a hundred arts, and I have a sack full of Cunning. You make me sorry for you; come with me, I willteach you how people get away from the hounds.(A hunter enters with four dogs enters from stage right. The cat springs into the tree and sits at the top where the branches and foliage conceaher)CAT: Open your sack, Mr. Fox. Open your sack!(The dogs seize the fox and hold him fast.)CAT: (Gloomily Ah, Mr. Fox. You with your hundred arts are left in the lurch! Had you been able to climb like me, you would not have lost yourlife. I need help quick, can anyone of you compose one line of Latin poetry, QUICK!!! Whoever answers first gets brainiest! Which of the following pairs of elements would form an ionic bond? (Select all thatapply.)T Pand clHand Nu Kand FMg and I someone plzzz help and hurry plzz i beg of you hurry How does the repetition in each stanza shape the meaning of Part I of "The Highwayman"?The repetition of the words riding, twinkle, daughter, or moonlight reinforces the highwayman's priorities.The repetition of the words trees, wrinkle, window, and perfume shows what is important to Bess.The repetition of the words galleon, breeches, cobbles, and cascade emphasizes the dreary setting.The repetition of the words inn-door, cocked-hat, to-night, and love-knot shows what is important to the landlord. Pleaseeeee helpppp xxx If yall need help tell me and i will help you A six-sided die is tossed and a coin is flipped. What is the fractional probability that the die lands on an even number and the coin is heads?