Tegan’s aunt deposited $4,000 into a savings account for her. The account pays 4.5% simple interest each year. If she neither adds nor withdraws money from the account, how much interest will she earn after 20 months?

Answers

Answer 1
First, you need to multiply the money, the percentage and the year.

So, it’ll look like this:

4,000 x 4.5% x 20

Multiply those together and you’ll get 3600

Then, you need to add the amount with 20

3600 + 20 = 3620

And that’s your total interest which is $3620

Hopes this helps you!

Related Questions

Help I will. Give brainly

Answers

No, because there is one x value that corresponds to two y values

(5, 3) and (5, 7)

Isaiah measured a house and made a scale drawing. In real life, the hall closet is 5 feet long. It is 10 inches long in the drawing. What is the drawing's scale factor?

Simplify your answer and write it as a fraction.

Answers

Answer: The answer is a scale factor of 6

Step-by-step explanation:

5 feet is 60 inches, and on the drawing the closet is 10 inches while the real closet is 5 feet, so just divide 60 by whatever gets you 10.

Which of the following functions has an amplitude of 4 and a phase shift of pi over 4

Answers

The cosine function that has an amplitude of 4 and a phase shift of pi over 4 is given by:

f(x) = 4cos(2x - π/4) + 4.

How the cosine function is defined?

The cosine function is defined as follows, considering it's coefficients:

y = acos(bx - c) + d.

The meaning of the coefficients is given as follows:

Coefficient a is the amplitude of the cosine function.Coefficient 2π/b gives the period of the cosine function.Coefficient c gives the phase shift of the cosine function.Coefficient d gives the vertical shift of the cosine function.

In this problem, we want an amplitude of 4, hence coefficient a has a value of:

a = 4.

We also want a phase shift of π/4, hence the coefficient c has a value of:

c = π/4.

Among the given options, the one that gives a cosine function with the desired amplitude and phase shift is:

f(x) = 4cos(2x - π/4) + 4.

Which is the first option.

What is the missing information?

The options are missing, and are given by the image at the end of the answer.

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jonh had 5 dish soap and shared 16 how many did he share

Answers

Answer:

16

Explanation:

It states the answer in the question. Unless you meant something else?

Hope this helps!

Have a good day :)

Answer: He shared 16.

Step-by-step explanation:

The first and the last terms of two Arithme- tic progressions are the same. The first A.P. has 51 terms with a common difference of 6. Find the number of terms of the 2nd A.P if its common difference is given as 4.

Answers

The number of terms of the 2nd A.P if its common difference is given as 4 is 76.

What is common difference?

The difference between consecutive integers in an arithematic sequence is a frequent distinction. Simply subtract the first word from the second term, or the second from the third, or anything similar, to find it. See how we have to add 8 each time to reach the following term? Thus, our common difference is eight.

1st A.P

Let 1st term be a d = 6

Therefore T51 = a + ( 51 - 1 )6

= a + 300

Now 2nd A.P

let the 1st term be a

Therefore for n no. of terms,

lats term,  a + ( n - 1 )4

But according to the question:

 a + ( n - 1 )4 =  a + 300

n - 1 = 300/4

n = 75 + 1

n = 76

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if tan x = -4/3 and x is in quadrant 2, then cos2x is

Answers

Step-by-step explanation:

Trigonometric Identities are equalities that utilize trigonometry functions and hold true for all variables in the equation. The correct option is C, -7/25.

What are Trigonometric Identities?

Trigonometric Identities are equalities that utilize trigonometry functions and hold true for all variables in the equation. There are several trigonometric identities relating to the side length and angle of a triangle.

Given that the value of tan(x) = -4/3 and x is in quadrant 2.

In order to find the value of cos(2x), we can use the trigonometric identity of cos(2x), therefore, for cos(2x) we can write,

\cos(2x) = \dfrac{1-\tan^2(x)}{1+\tan^2(x)}cos(2x)=

1+tan

2

(x)

1−tan

2

(x)

Since the value of tan(x) is known, substitute the value in the identity,

\begin{gathered}\cos(2x) = \dfrac{1-(-\frac{4}{3})^2}{1+(-\frac{4}{3})^2}\\\\\cos(2x) = \dfrac{1-(\frac{16}{9})}{1+(\frac{16}{9})}\\\\\end{gathered}

cos(2x)=

1+(−

3

4

)

2

1−(−

3

4

)

2

cos(2x)=

1+(

9

16

)

1−(

9

16

)

cos(2x) = (-7/9) × (9/25)

Cancelling 9 from the numerator and the denominator,

cos(2x) = -7/25

Hence, if tanx=-4/3 and x are in quadrant 2 then cos2x=-7/25.

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how I answer this using Commutative and Associative Properties of Addition can help you evaluate the expression.

Answers

The value of the fraction given as - 1 3/4 - (-8 1/3) - (- 4 1/4) will be 10 5/6.

How to calculate the fraction?

It should be noted that a fraction is simply used to represent the numbers that aren't whole.

Based on the information given, the fraction is illustrated as:

= - 1 3/4 - (-8 1/3) - (- 4 1/4)

Note that (-) × (-) = +

Therefore,

= - 1 3/4 - (-8 1/3) - (- 4 1/4)

= - 1 3/4 + 8 1/3 + 4 1/4

The LCM of the denominator is 12

= - 1 9/12 + 8 4/12 + 4 3/12

= 12 7/12 - 1 9/12

= 10 10/12

= 10 5/6

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I don't understand this can you help me?

Answers

The missing digits are 0, 4, and 5 in descending order

The complete division operation is

    8 2 0 R 5

6 |4, 9 2 5

 - 4  8

       1 2

  -    1 2

          0  5

Division operation

From the question, we are to determine the missing digits in the division operation

From the diagram,

The first two digits of the divided were divided by the divisor, this resulted into a quotient of 8 and a remainder of 1.

The divisor is 6

Let the value of the first two digits be x

Thus,

x / 6 = 8 1/6

x/6 = 49 / 6

By comparison,

The first two digits is 49

Therefore,

The dividend of the division operation is 4,925

Now, we can complete the division operation

      8 2 0 R 5

6 |4, 9 2 5

 - 4  8

       1 2

  -    1 2

          0  5

Hence, the missing numbers are 0, 4, and 5

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What is the total surface area??

Answers

Check the picture below.

[tex]\stackrel{\textit{\LARGE Areas}}{ \stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(\underset{b}{8})(\underset{h}{6}) \right]}~~ + ~~\stackrel{\textit{three rectangles}}{(14)(6)~~ + ~~(14)(8)~~ + ~~(14)(10)}} \\\\\\ 48~~ + ~~84~~ + ~~112~~ + ~~140\implies \text{\LARGE 384}~cm^2[/tex]

Under her cell phone plan, Salma pays a flat cost of $55 per month and $5 per
gigabyte. She wants to keep her bill under $75 per month. Use the drop-down menu
below to write an inequality representing g, the number of gigabytes she can use
while staying within her budget.

Answers

Answer: 5

Step-by-step explanation:

The diference between two numbers is 3 their sum is 27. What is the smaller number?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

x - y = 3

x + y = 27

add them:

2x = 30

x = 15

from x+y=27, we can see that y = 12

A rental company charges $85 a day and 30 cents a mile for renting a truck. Michael rents a truck for 2 days, and his bill comes to $290. How many miles did he drive?

Answers

Answer:

400 miles

Step-by-step explanation:

Let m be the number of miles.

[tex]85(2) + .30m = 290[/tex]

[tex]170 + .30m = 290[/tex]

[tex].30m = 120[/tex]

[tex] m = 400[/tex]

Please help, have no clue what I’m doing. Math is not my specialty

Find the three solutions to the equation y = 3x - 5 for the following values of x.
Enter your answers as an ordered pair in the form (x, y).

Enter the solution when = 0.

Enter the solution when a = -1.

Enter the solution when a = 2.

(Picture below)

Answers

Answer:

1_y=3(0)-5

y=0-5

y=-5

(0,-5)

2_y=3(-1)-5

y=-3-5

y=-8

(-1,-8)

3_y=3(2)-5

y=6-5

y=1

(2,1)

Step-by-step explanation:

When x=0,y= [(3*0)-5] = -5
When x=-1, y= -8
When x=2, y=1

is y-4x=9 a linear equation

Answers

Answer:

it is a linear equation

Step-by-step explanation:

Respuesta d/4, d/x = 4

I really need this done in the next 10 minutes I will give 25 points please help asap

Answers

Answer:

Step-by-step explanation:

The graph starts at 70 and decreases by 5 temp after 15 mins

70

65               o

60                                      o

55                                                            o

50

45

40

35

30

25

20

15

10

5                 i                      i                     i

0   5   10   15   20   25   30   35   40   45   50

                      time

solve 11kx+13kx=6 for x

Answers

The solution of the equation 11kx+13kx= 6 is x = 1/(4k)

The given equation is 11kx+13kx = 6

To solve this equation first we have to take x as common and rearrange the equation, so we can group the like terms together

x(11k+13k) = 6

Add the like terms in the equation

x(24k) = 6

Move 24k to the right hand side of the equation

x = 6/(24k)

Here we have to simplify the value of x, for that we have to divide 6 by 24k in the equation

x = 1/(4k)

Hence, the solution of the equation 11kx+13kx= 6 is x = 1/(4k)

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hey please help
Using the digits to (no more than once per digit), fill in the boxes to create three equivalent ratios.
You will get 15 points! or maybe even 20!

Answers

3:6=7:14=29:58 or 3:6=9:18=27:54

This equation is three equivalent ratios.

Can someone help and please hurry i don't have a lot of time

Answers

hi! i believe it’s the second and fourth one.

Mark wanted to know the area of his backyard. his parents told him that the yard was 4/5 of a mile wide and 1/2 of a mile long. what is the area of his yard ?

Answers

Answer:

A = 0.041138659 Sq. Mi.

Step-by-step explanation:

now I'm guessing that mark's backyard is GIGANTIC

and according to the info the question gave I know his back yard is also a Rectangle, knowing this we can safely say the formula to find the Area of a rectangle: A = LW to break this down it's like saying:

Area = length × width

the question already states that the width was 4/5 of a mile and the length was 1/2 of a mile we would convert the miles to feet

1 mile = 5,280 ft

4/5 × 5,280 = 4,224 ft

so, 4/5 of a mile would be 4,224 ft

similarly, 1/2 of a mile would be 2,640

1/2 × 5,280 = 2,640

GREAT we found our new length and width

length= 2,640 ft

width=4,224 ft

plug it in the formula

A= L×W

A= 2,640 ft · 4,224 ft

A= 1,146,880 sq. ft.

change that into square miles by dividing by 27878000

0.041138659 Square Miles

What number makes the fractions equivalent?

Answers

different numerators and denominators but are equal to the same value.
-
if you need a specific number answer from a problem, you'd need to attach a picture

1. What value of x makes this equation true?


X/2-2= X/4+4

A. 4
B. 8
C. 16
D. 24


Please help me anyone :'( it would mean a lot!

Answers

The x value of 24 makes the equation to be true

How to determine the value of x in the equation?

The equation is given as

x/2 - 2 = x/4 + 4

Add 2 to all sides of the equation

So, we have

x/2 = x/4 + 6

Subtract x/4 from all sides of the equation

So, we have

x/2 - x/4 = 6

Multiply through by 4

So, we have

2x - x = 24

So, we have

x = 24

Hence, the value of x in the equation is 24

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A scale drawing of a car is presented in the following three scales. Order the scale drawings from smallest to largest. Explain your reasoning. (There are about 1.11.1​ yards in a meter and 2.542.54​ cm in an inch)

help me please ;-;

Answers

The order of the scales from smallest to largest would be,

inch, centimeter, yard, meter

In this question, we have been given a scale drawing of a car is presented in the following three scales.

We need to order the scale drawings from smallest to largest.

We know that,

1 cm = 2.54 inch

and 1 meter = 1.1 yards

We know that the metric conversion,

1 meter = 100 centimeters

And 1 cm = 2.54 inch

So, 1 meter = 254 inches

This means, meter is the largest scale and inch is the smallest scale.

1 yd = 91.44 cm

This means, yard is greater than centimeter.

Therefore, the order of the scales from smallest to largest would be,

inch, centimeter, yard, meter

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Please answer all 8 questions and show work, thank you.

1. A square classroom has 10 square yards more than 5 times the area of the hallway outside it. The classroom and hallway have a combined area that’s 50 square yards less than 10 times the area of the hallway. Find the length of each side of the classroom.

2. The area of a magenta circle is 100 square meters more than four times the area of a yellow circle. If the magenta circle has an area of 1,500 square meters, what is the radius of the yellow circle?

3. A cubed-shaped box has a volume of 343 cu. ft. What is the surface area of the box?

4. Ace and Charles are salesmen. If Ace had made another $20 in sales, he would have sold three times as much as Charles. Combined, they sold $80 less than 7 times Charles’s sales. How much money did Ace sell?

5. Maria, Dawn, and Hina painted a fence for a total of $480. Since they spent different amounts of time painting, they divided this total in the ratio 3:5:8 (Dawn, Maria, Hina.) How much more did Maria earn than Dawn?

6. 10 years ago, Charlotte was 40 years old, while Mark was 14 years old. When will Charlotte be 8 years more than twice Mark’s age?

7. Rewrite the volume of a cone’s formula to solve for the radius, then solve for the radius when the volume is 300in cubed and the height is 4in.

8. The area of a pink square is 20 square yards more than one-third the area of a purple square. If the pink square has an area of 300 square yards, what is the length of each side of the purple square?

Thank you so much to anyone who helps.

Answers

1. The length of each side of the classroom is 12 yards.
2. The radius of the yellow circle is 2 meters.
3. The surface area of the box is 1,728 square feet.
4. Ace sold $60 and Charles sold $40.
5. Maria earned $160 more than Dawn.
6. Charlotte will be 8 years more than twice Mark’s age in 12 years.
7. The radius of the cone is 2in.
8. The length of each side of the purple square is 12 yards.

Have a good day!

can I get help with this one? Jaylen's equation is y=8.3x, I need help with the missing values only not the writing.​

Answers

Based on Jaylen's equation and the distance, as well as the time, the missing values are:
                 Distance                               Time minutes

                      2.89                                        24.0

                       3                                             24.9

                     4.34                                          36.0

                       6                                             49.8

How to find the missing values?

The missing values can be found by Jaylen's equation where y is the Time in minutes and x is the distance.

With a time of 24 minutes, the distance is:

24 = 8.3x

x = 24/8.3

= 2.89

With a distance of 3, time would be:

= 8.3x

= 8.3 (3)

= 24.9 minutes

With a time of 36 minutes:

= 36 / 8.3

= 4.34  

With a distance of 6, the time is:

= 6 x 8.3

= 49.8 minutes

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Two fish tanks have measurements as shown.
Which tank has a greater volume? How much greater is its volume?
Use the drop-down menus to explain and show your answer.
8 ft
Choose.
Fish Tank A
The volume of fish tank A is Choose...
volume is greater by ose
Fish Tank B
Area of base: 25 ft²
Area of base: 40 ft²
4 ft
cubic feet, and the volume of fish tank B is
has a greater volume. Its
cubic feet. So fish tank Choose....
cubic feet

Answers

Step-by-step explanation:

sgshshsbhehdbdbdbsbehebebdbebd

please help wth my mathsssssssss

Answers

Answer:

A = 1

B = 5

Step-by-step explanation:

There are thirty three students in the chess club. There are five more boys than girls in the club. Write and solve a system of equations to find the number of boys and girls in the chess club.

Answers

Answer:

    There are 14 girls and 19 boys in the chess club.

Step-by-step explanation:

    Let x be girls and y be boys in the chess club. First, we need to write the system.

    We know there are 33 students in total.

x + y = 33

    We also know there are five more boys than girls in the club.

x + 5 = y

Here is our system of equations and the solving process:

x + y = 33

x + 5 = y

    First, we will solve for y with substitution:

x + y = 33

x + (x + 5) = 33

2x = 28

x = 14

    Now, we will plug in this x-value:

x + y = 33

(14) + y = 33

y = 19

           

           There are 14 girls and 19 boys in the chess club.

The weight of meteorite A is 3 times the weight of meteorite B. If the sum of their weights is 92 ​tons, find the weight of each.

Answers

The weights of meteorite A and meteorite B are 69 tons and 23 tons respectively.

It is given in the question that the weight of meteorite A is 3 times the weight of meteorite B.

Also, the sum of their weights is 92 ​tons.

We have to find the weights of meteorite A and meteorite B.

According to the data given in the question,

Let the weight of meteorite B be x and,

The weight of meteorite A be 3x

Hence, we can write an algebraic equation,

3x + x = 92 tons

4x = 92 tons

x = 92/4 tons

x = 23 tons

Hence, 3x = 3*23 = 69 tons.

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9. Michael needs 6 ½ feet of metal flashing to complete a household project. He has two small pieces measuring 3 1/8 feet and 1 ₴ feet. How many feet of metal flashing does Michc need to purchase?

Answers

The length of metal flashing needed to be purchase is [tex]1\frac{5}{8}[/tex] feet's.

How to find the length of feet he needs to purchase?

He needs 6 ½ feet of metal flashing to complete a household project.

He has two small pieces measuring 3 1/8 feet and 1 3 / 4 feet.

Therefore, the length of metals for him to purchase can be calculated as follows;

The length he has = 3 1 / 8 + 1 3 / 4

The length he has = 25  /8 + 7 / 4

The length he has =  25 + 14/ 8

The length he has = 39 / 8 feet

Therefore

length required to purchase =  [tex]6\frac{1}{2} - \frac{39}{8}[/tex]

length required to purchase = [tex]\frac{13}{2}-\frac{39}{8}[/tex]

length required to purchase =  [tex]\frac{52-39}{8}[/tex]

length required to purchase = [tex]\frac{13}{8}[/tex] feet

Therefore,

length of metal flashing required to be purchase = [tex]\frac{13}{8}[/tex] feet = [tex]1\frac{5}{8}[/tex] feet

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Sebastian used his knowledge of exponents to simplify the following expression. Did he simplify correctly? If not, what mistake did
Sebastian make?
87.8-4.40
87+(-4).40
83.40
8³.0
0

Answers

Sebastian has solved the expression wrongly and the correct answer will be 536.

We are given the expression:

(87 × 8) - (4 × 40)

We need to simplify the expression.

For this, we need to follow the rule of PEMDAS.

So, we get that:

696 - 160

= 536

Sebastian has simplified it wrong as he has not followed the rule of PEMDAS and first subtracted 4 from 8.

Therefore, we get that, Sebastian has solved the expression wrongly and the correct answer will be 536.

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The ratio of men to women working for a company is 4 to 7. If there is 253 employees total, how many men work at the company milo is the owner of a sporting goods store that has only been open for three months. the holiday season is coming up, and milo realizes that he will need extra help. milo asks his friend jess to help him out at the store. milo and jess agree that jess will work during the months of november and december. however, because milo is unsure how much help he will need and how much he will be able to pay, they agree to decide each week on the hours that jess will work for the following week, and to decide the hourly rate after jess has worked two weeks before she receives her first paycheck. just before november 1, jess takes a job at another store. if milo tries to sue jess for breach of contract, the court will probably decide: when na diffuses into the cell, the cell becomes more depolarized. na diffusing into the cell causes more na gates to open, which is a positive feedback loop. What is the slope of the line perpendicular to the line represented by the equation 2x+2y=-12 Which sentence from a business letter most clearly uses biased languageA: Some of my interests include hiking, rugby, and singing.B: One day I hope to get promoted and become your boss.C: I spoke to your African American receptionist before.D: During my last job, they practically had to kick me out! Describe the unique life of Sojourner Truth. There is a proportional relationship between the number of months a person has had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is $47.94. The point (6,47.94) is shown on the graph below.What is the constant of proportionality in this relationship? 104. The English language consists of vowels and consonants totaling 26 letters. A,E, I, O, U, and Y are the English vowels and the rest are consonants.A. What is the ratio of consonants to vowels in the English language? (3points)B. What fraction of the letters of the English language are vowels? (3 points) A school is arranging chairs in rows for an assembly. $11$ chairs make a complete row, and right now there are $110$ chairs total. The school wants to have as few empty seats as possible, but all rows of chairs must be complete. If $70$ students will attend the assembly, how many chairs should be removed? Ela enjoys scuba diving. On one particular trip she was diving at a rate of 5 ft perminute. If Ela started at the surface, how far below the surface was she after 6 minutes?(Hint: below sea level is a negative value) The following is the prime factorization of which composite number?22.3.5 1206020180 A food handler who spends an entire shift forming hamburger patties should change glovesA after one hour, because the gloves may quickly build up pathogens B every four hours during continual use, and more often if needed C at the end of the shift D every six hours to avoid wasting gloves Is there a periodic trend in oxidation strength of the halogens? The point (-13, 24) is on the graph of y = f(x). Find the corresponding point on the graph of y= g(x), where g(x) = 1/4f(x) The Cookie Booth started with148 cookies. They sold 66 cookiesby noon. What is the ratio of soldcookies to non-sold cookies? Please help, it's due today! Injecting a potassium solution into a persons blood is lethal. This is how capital punishment and euthanasia subjects die. Why do you think a potassium solution injection is lethal?. Bart and Homer are building a mini nuclear reactor to put in the backyard (don't try this at home). They need rectangles of metal for their reactor casing. Bart and Homer each measure the perfect sized sheet of metal, but with different tape measures. Homer records 2.6m X 4.4m X 3.0m. Bart records 2.65m X 4.38m X 3.05m. After taking sig figs into account, what will be the difference in their volume measurements in m3?(Hint: remember you need to do the correct type of sig fig/rounding every time you hit the equal sign)The difference is ______ m3 For this assignment, you will visit the website Separation of Powers in Action U.S. v. Alvarez. You will then use facts from the section called "In a Nutshell" to explain your ideas about how effective the system of checks and balances is in America today. Your response should be one to two paragraphs in length, and should answer the prompt:How does the case U.S. v. Alvarez show the system of checks and balances outlined in the U.S. Constitution? Does this case show that the system of checks and balances is still useful? Why or why not? Which equation represents the proportional relationship displayed in the table?x: 4, 9, 11, 14y: 32, 72, 88, 112A. y = 8xB. y = 8x + 4C. y = 1/8x