Bob wants to take his wife, Mary, to Europe in three years to commemorate their 40th wedding anniversary. He recently received a $25,000 inheritance from an uncle, which he plans to put towards the trip. Bill calculates that the trip will cost $30,000 and that he can earn 6% yearly compound interest on his investment. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1, FVAD of $1, FVAD of $1, FVAD of $1, FVAD of $1, FVAD of $1, FVAD of $1, FVAD of $1, F (From the tables provided, select the appropriate factor(s).)

To calculate the future value, fill out the table below. Will he be able to pay for the trip with the money he has saved up? (Round up your totals to the nearest whole dollar amount.)

Answers

Answer 1

Answer:

10%

Explanation:

Use future value formula

Future Value =  Present Value ((1+r)^n)

26,600 =  20,000 ((1+r)^3

26,600/20,000 = (1+r)^3

1.33 = (1+r)^3

1.33^1/3 = 1+r

1.0997 = 1+r

1.0997 - 1 = r

r = 0.997 = 9.97% = 10% (rounded of to the nearest whole percentage)

(pls give brainliest)


Related Questions

suppose y varies inversely as x and y=12 when x=6 find y if x=8

Answers

Answer:

y = 9

Step-by-step explanation:

given that y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

to find k use the condition y = 12 when x = 6

12 = [tex]\frac{k}{6}[/tex] ← multiply both sides by 6 to clear the fraction

72 = k

y = [tex]\frac{72}{x}[/tex] ← equation of variation

when x = 8 , then

y = [tex]\frac{72}{8}[/tex] = 9

NO LINKS!!! Please help me with this problem​

Answers

Answer:

1. 0.75

2. 0.15

3. 1

Step-by-step explanation:

1. P(student is female) = 1 - 0.25 = 0.75

2. P(student is male and does not walk to school) = 0.25 × 0.6 = 0.15

3. P(student walks to school or does not walk to school) = 0.4 + 0.6 = 1

Answer:

The sum of the probabilities of all possible outcomes is 1.

Given:

Male students = 25% = 0.25Students who walk to school = 40% = 0.4

Therefore:

Female students = 1 - 0.25 = 0.75

Part (a)

[tex]\begin{aligned}\sf P(\textsf{female}) & = 1 - 0.25\\ & = 0.75\\ & = 75\%\end{aligned}[/tex]

Part (b)

[tex]\begin{aligned}\sf P(\textsf{does not walk to school}) & = 1 - 0.4\\ & = 0.6\\ & = 60\%\end{aligned}[/tex]

[tex]\begin{aligned}\implies\sf P(\textsf{student is male and does not walk to school}) & = 0.25 \times 0.6\\ & = 0.15\\ & = 15\%\end{aligned}[/tex]

Part (c)

[tex]\begin{aligned}\implies\sf P(\textsf{student walks to school or does not walk to school}) & = 0.4+0.6\\ & = 1\\ & = 100\%\end{aligned}[/tex]

Question 6 of 10
Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.

6.833
3.594
+1.369
————

Answer here

Answers

Step-by-step explanation:

7

4

1

----

12

reality

6.833

3.594

1.369

----------

11.796

CA is parallel to DE. The measure of BA is 120. The measure of BC is 180. The measure of BD is 80. What is the measure of BE?
A) 60
B) 80
C) 100
D) 120

Answers

The measure of BE is 100

Sure hope this helps you

Which of the following is an identity?

Answers

sin²x sec²x +1 = tan²x cosec²x is an Identity and therefore Option C is an Identity.

What is a Trigonometric Identity ?

Trigonometric Identities are based on Trigonometric ratios , these are useful in conversion of the ratios into each other and to solve the problems of Trigonometry.

There are four Identities Given

Among them Option C is an Identity because on solving it

sin²x sec²x +1 = tan²x cosec²x

(sin²x/cos²x) +1 = sin²x / (sin²x cos²x)

sin²x +cos²x = 1

Which is an Identity and

therefore Option C is an Identity.

To know more about Trigonometric Identity

https://brainly.com/question/12537661

#SPJ1

Select the correct answer.
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30
pages, what can you conclude?
OA About 60% of the books have fewer than 150 pages.
O B.
About 16% of the books have fewer than 150 pages.
OC.
About 95% of the books have more than 150 pages.
OD. About 16% of the books have more than 150 pages.

Answers

Answer:

B

About 16% of the books have fewer than 150 pages.

Step-by-step explanation:

Quizlet also said so

Evaluate the expressions.
(-7)⁰ = 0
0
2²( ³ ) = 0
5
010
X
Ś

Answers

Im pretty sure this is in a wrong format.

Answer:

[tex]format \: examples \: )[/tex]

(30-30) = 40 RIGHT THE SIMILAR FROM 60 -40 AND CALCULATE ALL OF IT +4

ANSWER: 405

-6x +3>-39

sombody pls do this problem

Answers

Answer:

x>-7

Step-by-step explanation:

Answer:

x>-7

It wont always be easy, but always try to do what ' s right!

   In a world of worriers, be the warrior!

        When nothing goes right, go left.

PLS HELPPPPPPPPPPPP WILL GIB BRAINLIEST Jimmy Needs to buy 1'000 boxs of Mac n' cheese for a confrecne meeting.

Each box costs 50.Cent how much money will he have to buy.
After u figure out The answer divide that by the by 56.
A 84712 = FIRST.... 84712 ÷ = 393893.329432112
B 50000 = FIRST.... 50000 ÷ = 892.857142857
C 43792 = FIRST.... 9382784 ÷ = 94923.2232
D 37263 = FIRST.... 8438493 ÷ = 4095923.31


PART B

The answer you just figured out find out how much cents that equals in dollars

A 5000
B 2123
C 3282
D 3921

Answers

Answer:

its 500$ to buy 1000 mac and cheese at 50 cent a piece so im asuming the answer is A

Step-by-step explanation:

Write the next whole number after 111 in the base-two system.

Answers

Answer:

111 (base 8) = 64 +8+1 =73(base10)

111 (base 2) = 4+2+1 =7(base 10)

Sum =73+7=80 (base 10)

8| 80|

8 | 10 | 0

8 | 1 | 2

8| 0 | 1

= 120 (base8)

80 (base10) = 120 (base 8)

Step-by-step explanation:

mark as brilliant

The next whole number after 111 in the base-two system is 1000.

What is the next whole number after 111 in the base-two system.

In the base-two system (binary), the numbers are represented using only 0 and 1. After 111 in the base-two system, the next whole number is 1000.

To convert 1000 from base-two to base-ten (decimal), we can calculate as follows:

1 * 2^3 + 0 * 2^2 + 0 * 2^1 + 0 * 2^0 = 8 + 0 + 0 + 0 = 8

So, the next whole number after 111 in the base-two system is 1000.

Learn more about (binary) at https://brainly.com/question/33366836

#SPJ3

An auto weighing 2,000 pounds is on a street inclined at 10° with the horizontal. Find the force necessary to prevent the car from rolling down the hill. (Round your answer to the nearest whole number.)

347 pounds
14,397 pounds
2,462 pounds

Answers

Force (F) = WSin(angle)

F = 2000×Sin(10)

Therefore, F = 347lb.

what is the answer to thiss

Answers

Hi Student!

This question is fairly simple because it gives us an equation and they also give us a value for the variable that is within the equation and they tell us evaluate the expression.  So let's plug in the values and solve.

Plug in the values

[tex]m^2 + 5[/tex][tex](9)^2 + 5[/tex]

Factor out the exponent

[tex](9*9) + 5[/tex][tex]81 + 5[/tex]

Combine

[tex]86[/tex]

Therefore, the final answer that we would get when substituting m with 9 in the given equation is that we get 86.

Which table represents a linear function?
(i’m trying to help my friend pass)

Answers

Answer:

if I remember I did this two days ago its was c

What is (f−g)(x) ?



f(x)=x3−3x2+2x−3

g(x)=4x2−5x+7



Enter your answer in the box.

(f−g)(x)=

Answers

Answer:

Step-by-step explanation:

(F-G)(X)=x^4-x^3+2x-6

Solve: x = 27

A) X= 3
B) X = 3 and x = -3
C) X = 9
D) X = 9 and x = -9

Answers

Answer:

A) x=3

Step-by-step explanation:

I guess it's : [tex]x^{3} =27[/tex]
[tex]x^{3} =27[/tex]
[tex]x=\sqrt[3]{27}[/tex]
[tex]x = 3[/tex]

XO
0
1
2
3
4
5
6

f(x)
15
20
25
30
35
чо
45

Answers

Answer:

56

Step-by-step explanation:

Translate "the sum of 6 and the product of 8 and x" into a mathmatical expression

Answers

Answer:

6 + 8x

Step-by-step explanation:

I need help. This is an ixl

Answers

Answer: 2

Step-by-step explanation:

     We will first pull the data values.

0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3

     Now, we will find the middle data value. This is the median.

0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3

/,  /,  /, /, /, 2,  /,  /,  /,  /,  /

     Our median is 2.

Read more about finding the median here:

https://brainly.com/question/7730356

The rectangle shown is rotated about line k.

Rectangle A B C D is shown. A line of rotation goes through the midpoint of sides A B and D C to cut the side into two equal lengths of 5 inches. Side A D has a length of 4 inches.

What is the approximate base area of the resulting figure?

Area of a circle: A = πr2

31 sq. in.
50 sq. in.
79 sq. in.
314 sq. in.

Answers

The approximate base area of the resulting figure is 79 in²

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The resulting figure formed from the rotation is a cylinder with a radius of 5 inches and height of 4 inches

Area of base = π * radius² = π * 5² = 79 in²

The approximate base area of the resulting figure is 79 in²

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

I am 6 foot and 4 inches what is my height in metres?12 inches=to 1 foot and 1 foot=to 30 cm

Answers

Answer:

1.9 m

Step-by-step explanation:

1 ft = 30 cm (approximately)

12 in. = 1 ft

100 cm = 1 m

Find the height in ft:

4 in. / 12 in/ft = 1/3 ft

6 ft 4 in. = 6 ft + 1/3 ft = 6 1/3 ft

Convert ft to cm:

6 1/3 ft × 30 cm/ft = 190 cm

Convert cm to m:

190 cm × 1 m / 100 cm = 1.9 m

Every year in Delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. The equation y = 15 + 110x – 16x2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. What is the maximum height that the pumpkin reaches? How many seconds have passed when the pumpkin hits the ground? (Hint: If the pumpkin hits the ground, its height is 0 feet.)

Answers

Answer:

See below

Step-by-step explanation:

y = - 16x^2 + 110x + 15    is a dome shaped parabola

  max will occur at x = -b/2a = -  110/(2*-16) = 3 7/16   seconds

     using this value in the equation results in y = 204  units  (feet?)

Height = 0 = -16x^2 +110x + 15     use quadratic formula

                                  with  a = -16    b = 110    c = 15    to find  7 seconds

Confirmed as of 12.14.22

Here you go! Please mark Brainliest! Tysm if you do and have a great holiday!

__________

1. $11.50

2. Distributive Property

3. x ->-4 and x -< 3

4. x = 0 or x = -3/2

5. D = all real numbers

  R = {y | y -> 0}

6. y = 12/13x - 10/13

  slope: 12/13; y-intercept: -10/13

7. y - 3 = 4/9 (x - 9)

8. (1/4, -7); x = 1/4; translated to the right 1/4 unit and down 7 units.

9. Graph C (representing the inequality y -< x/2 - 3)

10. Graph C (representing the system {x -> 0, y -< -1/8x + 5, y -> 5/8x - 1)

11. [ -12  -13  13  |  -15]

    [ 7     -10   -3  |   11]

    [ 7      14    5  |    -5]

12. Graph C (representing y = 3(x - 3)^2 + 3)

13. The pumpkin's maximum height is 204.06 feet and it hits the ground after 7.01 seconds.

14. 4x^2 + 3x - 6

15. 7/2 -+ sqrt17/2

16. -15

17. (0,3), (3,0)

18. -3. -2. 2

19. Graph C (Goes vertically down, up, then down again.)

20. -6, -2

21. 2, -2, 4i, -4i

22. s^4 + 15s^4 v + 90s^3 v^2 + 270s^2 b^3 + 405sv^4 + 243v^5

23. y = x - 2

24.  f(x) = 295(1.07)^x; 338

25. y = 497(1/2)^38x; 462.029 kg

26. 4

27. 1.03

28. 4.55

29. r = Q/8s^2

30. x = 2

31. Constant of variation: -1/3

    x = -63

32. (-1, 7, 5)

33. (x + 4)(6x + 7

______________________________________________

Directions: In this last section, you will answer one problem. Be sure to read the
problem carefully and to answer the question completely. Show your work and circle
your answer. Use any method to solve this problem.
74. A restaurant has a total of 60 tables. Some of the tables can seat 4 people and some
seat 2 people. All of the seats are occupied when there are 160 people seated. How man
tables for 4 are there?

Answers

Answer:

40 tables

Step-by-step explanation:

I think lol I'm just guessing. Hope you get it right. If I'm right just remember me as legend or the chosen one.

If the volume of a cube is 64 cubic inches, find the length of one edge

Answers

The length of one edge of the cube is 4
4cm is the length on one edge

In the cycle-plane, what is the y-intercept of the graph of the equation y=6 (x-0.5) (x+3)

Answers

The y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be negative 9.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The parabolic equation of the function is given below.

y = 6 (x - 0.5) (x + 3)

Then the y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be

We know that for the y-intercept, the value of x is zero. Then we have

y = 6 (x - 0.5) (x + 3)

y = 6 (0 - 0.5)(0 + 3)

y = 6 (-0.5)(3)

y = -9

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+64x+89

Answers

Step-by-step explanation:

I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.

y = -16x² + 64x + 89

shows us that the tower is 89 ft tall (the result for x = 0, at the start).

anyway, if the original assumption is correct, then we need to solve

0 = -16x² + 64x + 89

the general solution for such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/)2a)

in our case

a = -16

b = 64

c = 89

x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =

= (-64 ± sqrt(4096 + 5696))/-32 =

= (-64 ± sqrt(9792))/-32

x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s

x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s

the negative solution for time is but useful here (it would be the time calculated back to ground at the start).

so, x2 is our solution.

the rocket hits the ground after about 5.09 seconds.

Determine whether or not the situation describes a function. Give a reason for your answer. The letter grade in this course is a function of your numerical grade. a. No, it is not a function. Each letter grade corresponds to one numerical grade. b. No, it is not a function. Each numerical grade corresponds to one letter grade. c. Yes, it is a function. Each numerical grade corresponds to one letter grade. d. Yes, it is a function. Each letter grade corresponds to one numerical grade. Please select the best answer from the choices provided A B C D

Answers

Yes, it is a function. Each numerical grade corresponds to one letter grade. Then the correct option is C.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Determine whether or not the situation describes a function.

The letter grade in this course is a function of your numerical grade.

Yes, it is a function. Each numerical grade corresponds to one letter grade.

Then the correct option is C.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

What are the values of x and y?
Figure and answers shown below.

Answers

Answer:

C) x = 8√3 ; y = 4√3

Step-by-step explanation:

In this figure, the triangle is 30°-60° right triangle.

So x/12= 2/√3, y/12 = 1/√3

Answer:

C

Step-by-step explanation:

A skydiver is falling at a rate of 1.1 × 10 2 miles per hour. About how long will it take him to fall 5 miles?

Answers

Answer:

See below

Step-by-step explanation:

distance / rate = time

5 miles / 110 m/hr = .04545 hr = 2.727 min = 2 min 44 sec = 1/22 hr

If a city with a population of 283,900 doubles in size every 66 years, what will the population be 198 years from now


PLEASE HELP

Answers

Here’s the answer to your question and solution

The population after 198 years from now will be 2,270,200.

What is an exponent?

Let a be the initial value and x be the power of the exponent function. Then the exponent is given as,

[tex]\rm y = 283,900\times (2)^{x/198}[/tex]

The population after 198 years from now will be calculated as,

[tex]\rm y = 283,900 \times (2)^{198/66}[/tex]

Simplify the equation, then we have

y = 283,900 x 8

y = 2,270,200

The population after 198 years will be 2,270,200.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

A rectangle has a width of 46 centimeters and a perimeter of 210 centimeters. What is the rectangles length?

Answers

Answer:

59 cm

Step-by-step explanation:

First, we can do 46x2=92 to find one part of the perimeter. 210-92=118. 118/2=59. So the length is 59.

Other Questions
Which of the following shapes have faces? Select two options.cuberectanglehexagonoctagonpyramidcircle 4x - 1 < 11solve the inequality -1 A 4m long wire of cross-sectional area 2.5 X 10 m has a resistance of 5. The conductivity of the wire is (a) 2.5 X 10' m (b) 4.0 X 10' m (c) 2.5 X 10'' m -1 -1 (d) 4.0 X 10''m' What did Hernn Corts do after the Aztec emperor Montezuma II welcomed him to Tenochtitln? Mack signs into his laptop and gets a message saying all his files have been encrypted and will only be released if he sends money to the attacker. what kind of software did this On a bond paper, craft your resume. Your task is to write a resume for an internship opportunity as partial fulfillment of your specialized subject in the Senior High School. The (blank) were a powerful group during this time because they developed a new style of (blank) middle ages europe. f(7) if f(x) = x + 10. When discussing Newtons laws of motion, which terms do people most likely use when talking about Newtons third law of motion?force and accelerationinertia and forceaction and reactionmass and inertia How many children between birth and 19 are treated in emergency rooms every hour for injuries sustained in motor vehicle crashes?. 7Read the passage from act 4, scene 3, of TheTragedy of Julius Caesar.BRUTUS. No man bears sorrow better. Portia is dead.CASSIUS. Hal Portia?BRUTUS. She is dead.CASSIUS. How scaped I killing when I crossed youso?O insupportable and touching loss!Upon what sickness?BRUTUS. Impatient of my absence,And grief that young Octavius with Mark AntonyHave made themselves so strong-for with her deathThat tidings came. With this, she fell distraught,And, her attendants absent, swallowed fire.CASSIUS. And died so?Which statement best describes how an element oftragedy in this excerpt reveals the theme thatuninformed decisions lead to tragic ends?O Brutus's decision to join the conspiracy has led to acatharsis, Cassius making him angry.O Brutus's decision to join the conspiracy has led to acatastrophe, Lepidus being disgarded by Antonyand Octavius.O Brutus's decision to join the conspiracy has led to atragic flaw, Cassius making him angry.O Brutus's decision to join the conspiracy has led to acatharsis, the confrontation of Antony and Octavius. Which statements best scribe how the element of tragedy in the expert reveals the theme that uninformed decisions led to traffic mean tragic ends Qu simboliza Aydin para la gente de Gerze? The British surrendered at Yorktown as a result of which of the following?a. Their inability to win even a single battle in the warb. The Continental Army's invention of cannonsc. A secret agreement with Native American groupsd. An alliance between the U.S. and France please help, what are the answers (a hundred points what more do u want bro)Puppies increase in size as their cells grow and divide. Almost all cells complete a full cell cycle that includes interphase and cell division. In interphase, cells serve their specialized functions, grow, and copy their genetic material. Mitosis is the first stage of cell division, in which the copied chromosomes are separated into two new nuclei. Then in cytokinesis the cell divides into two daughter cells. If no mutations or errors occur, the genetic material in each daughter cell is identical to what was in the original cell.Now that you have completed this lesson, you should be able to:describe the stages of the cell cycleuse a model to illustrate the role of cellular division in the formation of new cellsdescribe the structure of a chromosomefollow chromosomes through the processes of mitosis and cytokinesisIf you do not feel comfortable with these topics, go back and review the lesson before attempting your assignment.Now it is time to complete the assessment for this lesson. Contact your instructor if you have questions or need additional help. When fertilization occurs, one half of the dna comes from the ____ and one half from the ______ What is the slope of a line perpendicular to the line whose equation is 5x - y = -7.Fully simplify your answer. Hayley went shopping and purchased clothing that cost $23, $25, $25, $27, $30, $31, and $35. Which measure of central tendency would Hayley use if she wanted to prove to her parents that she did not spend too much money on clothing? What is the slope of the line that is parallel to the line whose equation is 4x + y2 = 0? What can you conclude about the population density from the table provided? Population Area (km) Region A 20,178 521 Region B 1,200 451 Region C 13,475 395 Region D 6,980 426