18. George invests $5000 for 14 years at a rate of 2% per year compound interest. Calculate the interest he
receives. Give your answer correct to the nearest dollar.

Answers

Answer 1

Answer:

He will receive $1, 400 for interest

&

A total amount of $6, 400

Step-by-step explanation:

To find the interest, we must apply the following formula:

I = P × R × T

I represents interest

R represents rate

T represents time

P represents principle

Steps:

1. Change the rate, which is 2%, into a decimal.

2. Multiply the principle, which is 5,000, by the rate, which is 0.02.

3. Multiply the product of the principle and rate, which is 100, by the time, which is 14 years.

So he will receive $1, 400 interest.

To find the total amount he recieved, we must:

Add the principle, which is 5,000, and the current interest, which is 1, 400.

5,000 + 1,400= 6,400

He will receive a total of $6, 400

I hope this helps! I'm sorry if it's wrong.


Related Questions

A business recently upgraded a conference TV they had in their conference room. Originally the TV was 32 inches (across the diagonal) and had a perimeter of 87.16 inches. The new TV is 70 inches across the diagonal. Since the new TV will be recessed in the wall, it will need trim put on the border. What is the perimeter of the new TV? Round your answer to two decimal places.

Answers

Answer:

The perimeter of the new TV is approximately  95.32 inches

Step-by-step explanation:

The diagonal dimension of the original TV = 32 inches

The perimeter of the original TV = 87.16 inches

The diagonal dimension of the new TV = 70 inches

The perimeter of the new TV = 87.16 inches

For the original TV, we have;

Let w be the width of the original TV and l be the length of the original TV, we have;

2·w + 2·l = 87.16

√(w² + l²) = 32

Therefore, we have;

32² = w² + l²

w = (87.16 - 2·l)/2

w = 43.58 - l

32² = l² + (43.58 - l)²

l² + (43.58 - l)² - 32² = 0

l² + 43.58² - 2 × 43.85 × l + l² - 32² = 0

2·l² - 87.16·l + 875.2164 = 0

By the quadratic formula, we have;

l = (87.16 ± √((-87.16)² - 4×2 × 875.2164))/(2 × 2)

Therefore, l = 27.89 inches or l = 15.69

Therefore, w = (87.16 - 2·l)/2 = (87.16 - 2× 27.89)/2 = 15.69

or w = (87.16 - 2× 15.69)/2 = 27.89

Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;

15.69/27.89

w₂/l₂ for the new TV = 15.69/27.89

∴ w₂ = l₂ × 15.69/27.89

w₂² + l₂² = 70²

∴ (l₂ × 15.69/27.89)² + l₂² = 70²

l₂² × (15.69/27.89)² + l₂² = 70²

l₂²((15.69/27.89)² + 1) = 70²

l₂² = 70²/((15.69/27.89)² + 1) = 3722.04

l₂ = √(3722.04) ≈ 61.0

w₂ = l₂ × 15.69/27.89 = 61 × 15.69/27.89 ≈ 34.32

Therefore;

The perimeter of the new TV = 34.32 + 61 = 95.32 inches.

In this exercise we have to use the knowledge and information given to calculate the perimeter that will correspond to:

The perimeter of the new TV is approximately  95.32 inches

So the data for this exercise is from:

The diagonal dimension of the original TV = 32 inches The perimeter of the original TV = 87.16 inches The diagonal dimension of the new TV = 70 inches The perimeter of the new TV = 87.16 inches

Let w be the width of the original TV and l be the length of the original TV, we have;

[tex]2*(w) + 2*(l) = 87.16\\\sqrt{(w^2 + l^2)} = 32[/tex]

Therefore, we have:

[tex]32^2 = w^2 + l^2\\w = (87.16 - 2*l)/2\\w = 43.58 - l\\32^2 = l^2 + (43.58 - l)^2\\l^2 + (43.58 - l)^2 - 32^2 = 0\\l^2 + 43.58^2 - (2 * 43.85 * l)+ l^2 - 32^2 = 0\\(2)*(l)^2 - 87.16*l + 875.2164 = 0[/tex]

By the quadratic formula, we have;

[tex]l = (87.16 +/- \sqrt{((-87.16)^2 - 4*2 * 875.2164))/(2 * 2)} )[/tex]

Therefore:

[tex]w = (87.16 - (2)*(l))/2 = (87.16 - 2* 27.89)/2 = 15.69\\w = (87.16 - 2* 15.69)/2 = 27.89[/tex]

Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;

w₂/l₂ for the new TV = [tex]15.69/27.89[/tex]

[tex]w_2 = (l_2)* (15.69/27.89)\\w_2^2 + l_2^2 = 70^2\\(l_2 *15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2 * (15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2((15.69/27.89)^2 + 1) = 70^2\\l^2_2 = 70^2/((15.69/27.89)^2 + 1) = 3722.04\\l_2 = \sqrt{(3722.04)} = 61.0\\w_2= l_2 * 15.69/27.89 = 61 * 15.69/27.89 = 34.32\\[/tex]  

The perimeter of the new TV :

[tex]P = 34.32 + 61 = 95.32[/tex]

See more about perimeter at brainly.com/question/6465134

6 divided by 2/3 = tell me thee answer in fraction form

Answers

Answer:

There wouldn't be a fraction form because its a whole number which is 9

5. A girl is told to buy some melons and oranges. Melons are 50c each and oranges 25c each, and she has $2 to spend. She must not buy more than 2 melons and she must buy at least 4 oranges. She is also told to buy at least 6 fruits all together.

Let x be the number of melons

Let y be the number of oranges.

a) Write down four inequalities which must be satisfied.

b) Draw a graph and use it to list the combinations of fruit that are open to her.

Answers

Answer:

a) The four inequalities are;

1) x ≤ 2

2) y ≥ 4

3) x + y ≥ 6

4) 0.5 × x + 0.25 × y ≤ 2

b) The limits of the combinations of fruits that are opened to her, derived using the Chart function on Microsoft Excel are;

1) (0, 8) which is 0 melons and 8 oranges

2) (0, 6) which is 0 melons and 6 oranges

3) (2, 4) which is 2 melons and 4 oranges

Step-by-step explanation:

The price per Melon = 50c = $0.5

The price per orange = 25c = $0.25

The amount she has to spend = $2

The number of melons she must buy ≤ 2

The number of oranges she must buy ≥ 4

The total number of fruits she should ≥ 6

Let x be the number of melons

Let y be the number of oranges

a) The four inequalities are;

1) x ≤ 2

2) y ≥ 4

3) x + y ≥ 6

4) 0.5 × x + 0.25 × y ≤ 2

b) Please find attached the required graph of the combination of fruits the girl buys created with Microsoft Excel

The combinations of the vertices of the feasible combinations that are opened to her, obtained from the creation of the combined graph, using Microsoft Excel are;

1) (0, 8) which is 0 melons and 8 oranges

2) (0, 6) which is 0 melons and 6 oranges

3) (2, 4) which is 2 melons and 4 oranges

7x – 3y = 42
solve for x when y = 0
solve for y when x = 0

Answers

Step-by-step explanation:

y=0

7x-3*0=42

7x=42

x=42/7=6

x=0

7*0-3*y=42

-3y=42

y=-42/3=-14

Answer:

y=-14, x= 6

Step-by-step explanation:

Sun-Li has $30 to spend at the carnival. Admission is $5, and each
ride costs $2. What is the greatest number of rides she can ride?
Write and solve an inequality.

Answers

Answer:

Sun-Li will be able to ride 12 rides. (30-5)/2=24

Step-by-step explanation:

on saturday keisha ran 2.175 kilometers. on sunday she ran 1.88 kilometers. how much farther did she run on saturday than on sunday?
Pls help fast I don't know what to do

Answers

Answer:

0.295

Step-by-step explanation:

you needed to subtract 2.175-1.88=0.295

Ok now these are my very last points please help

Answers

Answer:

wait what grade are you in ?

What is the x-intercept of the line graphed on the grid?​

Answers

Answer:

2

Step-by-step explanation:

If you use rise over run, you should get to. From one point to the other, the rise is 2 and the run to the right is 1. So, you do 2 divided by 1, which is 2. So, the slope would be 2.

The volume of a solid cube is 1700m3.
Work out the surface area.
Give your answer rounded to 1 DP.

Answers

Answer:

849.7m2

Step-by-step explanation:

L= length

SA = surface area

volume = L x L x L

1700= L x L x L

find cube root

=11.93m

round off to 1 dp

=11.9m

SA= 6( L x L)

     = 6( 11.9 x 11.9)

       =6(141.61)

       =849.66m2

round off to 1 dp

=849.7m2

according to exponent rules, when we multiply like bases, we ______ the exponents

Answers

You would add the exponents.

Example: 4x^2(5x^2)= 20x^4

I think of a number, multiply it by 5 and subtract 3 from the result

Answers

Answer:

Do you need the result of the end?

Step-by-step explanation:

5*3=15

15-3=12

5*3=15
15-3=12. I believe this is the answer

help
4. Which list shows the integers in order from least to greatest?
A) -8, -5, 0, 2, 6
B) 0, 2, -5, 6, -8
C) -5, -8, 0, 2, 6
D) 0, -3, -5, 2, 6

Answers

I’m pretty sure it’s A

A company that teaches self-improvement seminars is holding one of its seminars in Belmont. The company pays a flat fee of $250 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $4 to purchase books and supplies. Each attendee will pay $14 for the seminar. Once a certain number of attendee register, the company will be breaking even. How many attendees will that take?

Answers

Answer:

Step-by-step explanation:

250 for place  4 for books each.

If they charge 14 per person, 4 of that goes for the books and 10 will be applied to the rental fee.

250/10= 25 people to break even. Any people beyond that  is a profit of 10.00 since the other 4 will still go to the books.

please help me this question​

Answers

Answer: Choice D.  (x/8) - 2 = 5

Work Shown:

x = Aatif's age

x/8 = divide the age by 8

(x/8) - 2 = divide the age by 8 first, then subtract off 2

(x/8) - 2 = 5 .... the previous result is equal to 5

Brainliest for correct answer! There are several ways to collect data. Which of the following is crucial for statisticians to call a method an experiment?
A. Eliminating bias
B. Randomness
C. Researcher assigns subjects to groups
D. Placebos

Answers

Answer:

I think the answer would be A

Answer:

A

Step-by-step explanation:

PLEASE HELP! I will give brainliest

Answers

3 Answers:

A) y intercept is (0,3)

C) Axis of symmetry is x = -1

D) Vertex is (-1, 4)

So basically everything but choice B is true.

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

Explanation:

Choice A is true because plugging in x = 0 leads to y = 3. Effectively, anything with an x goes away when x = 0 leaving that 3 behind. So finding the y intercept in this form is fairly fast.

-------------------

To check choices B through D, let's convert the equation into vertex form.

y = -1x^2 - 2x + 3 is in the form y = ax^2 + bx + c where

a = -1

b = -2

c = 3

The vertex is located at (h,k) such that h = -b/(2a)

Plug the values of 'a' and 'b' into the equation below

h = -b/(2a)

h = -(-2)/(2*(-1))

h = 2/(-2)

h = -1

The x coordinate of the vertex is x = -1

Then use this to find the y coordinate of the vertex

y = -1x^2 - 2x + 3

y = -1(-1)^2 - 2(-1) + 3

y = 4

The y coordinate of the vertex is 4, meaning k = 4

The vertex overall is (h,k) = (-1, 4)

This shows choice D is true, meaning choice B has to be false.

Choice C is true because the axis of symmetry is the x coordinate of the vertex. This is the vertical line that cuts the parabola into two mirrored halves. This vertical line always goes through the vertex.

Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = x^2+2

Answers

+2 means It transforms up 2 units

A plane flies at 350 mph in the direction N 40° E with a wind blowing at 40 mph in the direction S 70° E. What is the plane’s drift angle?

Answers

Answer:

The drift angle is approximately 7.65° towards the East from the plane's heading

Step-by-step explanation:

The speed of the plane = 350 mph

The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction

The speed of the wind = 40 mph

The direction of the wind = S 70° E = 20° clockwise from the eastern direction

The component velocities of the plane are;

[tex]R_{Plane}[/tex] = (350 × cos 50)·i + (350 × sin 50)·j

[tex]R_{Wind}[/tex] = (40 + cos 20)·i - (40 × sin 40)·j

The resultant speed of the plane = [tex]R_{Plane}[/tex] + [tex]R_{Wind}[/tex] = 265.915·i +242.404·j

The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°

Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East

Answer: A. 5.89

Step-by-step explanation:

edge2020

If p = 2 and q = 8, the value of p3 + V64 q ls____​

Answers

Answer:

518

Step-by-step explanation:

P = 2

Q = 8

p3 + 64q

Multiply "p" (which is 2) with 3

Multiply "q" (which is 8) with 8

Add the two numbers you get

And you have you answer

I hope this helps. :)

The answer I got was: {{ 2,8}}

Hope this helps, and happy holidays!!

what is always true about a line that Slants downward from left to right select all that apply help plz​

Answers

Answer:

A line that slants down from left to right has a negative slope. Horizontal and vertical lines also have a slope.

Step-by-step explanation:

A.
B.
C.
D.

Help me please!!

Answers

It's B!!!           ik cuz i ggogled it lol

Answer:

I think the answer is B. $92

Step-by-step explanation:

$80 time (115 on calculator will give you 9200

given that
f(n) = n^2 - 4n + 3
& g(n) = 2n - 1
find gf(-2)

Answers

Answer:

The value of [tex]gf\left(-2\right)[/tex] will be:

[tex]gf\left(-2\right)=29[/tex]

Step-by-step explanation:

Given the functions

[tex]f(n) = n^2 - 4n + 3[/tex]

[tex]g\left(n\right)\:=\:2n\:-\:1[/tex]

[tex]f\left(-2\right)\:=\:\left(-2\right)^2\:-\:4\left(-2\right)\:+\:3[/tex]

           [tex]=\left(-2\right)^2+4\cdot \:2+3[/tex]

           [tex]=2^2+4\cdot \:2+3[/tex]

            [tex]=2^2+8+3[/tex]

            [tex]=4+11[/tex]

            [tex]=15[/tex]

so

[tex]gf\left(-2\right)=g\left(15\right)[/tex]

             [tex]=2n-1=2\left(15\right)-1=30-1=29[/tex]

Therefore,

[tex]gf\left(-2\right)=29[/tex]

-6 5 4 3 2 1
1 2 3 4 5 6
1
1-2
-3
Water Slide
Restrooms
-5

Answers

Answer:

I am sorry what are you showing

Determine how (if possible) the triangles can be proved similar.

Answers

Answer:

It's not similar :)

hope this helps<3

The triangles are not similar because the sides are not proportional.

What are Similar Triangles?

Similar triangles are those triangles which has the same shape but different size.

The length of sides and angles are proportional in similar triangles.

So we know that length of sides are proportional.

If we find the ratio of corresponding sides of the two triangles, then they must be equal to a common value.

We have only the length of two sides of each triangle.

If those sides are proportional, we must have an angle of each triangle to be equal.

Here, the angles formed by the intersecting lines are vertical angles and are thus equal.

Let's look if the sides are proportional.

20 / 36 = 5/9

24 / 42 = 4/7

Sides are not proportional.

Hence the given triangles are not similar.

Learn more about Similar Triangles here :

https://brainly.com/question/14926756

#SPJ2

Help plz plz plz plz

Answers

Answer:

.4 and it terminates

Step-by-step explanation:

Answer:

red

Step-by-step explanation:

what is the value of x that satisfies the following equation
1 over 3 ( x - 9) = 2 over 3 (2x + 6)​

Answers

Answer:

x=-7

Step-by-step explanation:

BRAINLIEST PLS

y is inversely proportional to x. Given that y = 12 and x = 6. Find the value of y when x = 8.

Answers

Answer:

9

Step-by-step explanation:

formula for inverse proportion is y = [tex]\frac{k}{x}[/tex]

k is the constant of probability

to find k,

y is 12, x is 6

12 = [tex]\frac{k}{6}[/tex]

so x = 12 × 6

∴ k is 72

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

∴ y is 9

I am doing a science project and need a fun or short title. The project is on whether filtered water affects plant growth. Any creative title ideas?

Answers

Answer: Water: The battle between the clean vs the dirty :P

Step-by-step explanation:

Given that polygon ABCD≅ polygon EFGH, identify the congruent corresponding part for CD¯¯¯¯¯.

Answers

Answer:

Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.

Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

Step-by-step explanation:

Evaluate the function f(x) = x/3+4 for f(-9).
a. -23
b. -2
c. 7
d. 1​

Answers

Answer:

d. 1

Step-by-step explanation:

To evaluate a function, plug the number in the parentheses into the expression in place of x:

(-9/3) + 4 = 1

Answer:

option d.

Step-by-step explanation:

answer is 1

as LCM is 3

-9/3+ 4/1*3/3=

-9+12/3= 3/3

=1

Other Questions
a window washer clean 38 windows in 2 hours at this rate how many windows did he clean in 7 hours? The body converts carbohydrates intoA. fats.B. acids.C. calories.D. glucose. It will take 20 points to make the playoffs, the Hockey Team coach told the players. "We get 2 points for a win and 1 point for a tie." Let be the number of wins and be the number of ties. Write an equation to describe the values of and that will let them make the playoffs. 24 is 40% of what number? Use the percent equation. what was the voting experience like for African Americans after the Civil War? List the elements that make up the compound copper sulfate (b) In the USA, drones are not allowed to be flown too high above the ground. Suggest one possible risk of flying a drone too high above the ground.Plz complete thank you in advance During the Enlightenment there was a great interest in developing which part of society?A. local and international businessesB. education and community awarenessC. the promotion of law and order Need help with this art question HELP IM ON GRADPOINT I AM ON A QUIZ IF I CAN ALSO GET THE REST OF THE ANSWERS I WILL MARK BRAINLYEST The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:Graph titled Distance Vs Time is shown with Time in minutes along the x axis and Distance from Nest in miles along the y axis. The scale on the x axis shows the numbers 0 to 25 at increments of 5, and the scale on the y axis shows the numbers 1 to 8 at increments of 1. A straight line joins the ordered pairs 0, 3 and 5, 4 and 10, 5 and 15, 6 and 20, 7.Based on the graph, what is the initial value of the graph and what does it represent? (1 point) a3 miles per minute; it represents the speed of the bird b0.2 mile per minute; it represents the speed of the bird c0.2 mile; it represents the original distance of the bird from its nest d3 miles; it represents the original distance of the bird from its nest What positions in society do you think are most valuable? somebody please help me what is 15 / 3 7/20 Uniform Circular Motion: You need to design a wheel for testing purposes such that its rim will have an acceleration of 1.5 g when the rim is moving at 37 m/s while spinning. What should be the diameter of this wheel? find the value of x and the measure of MNW What is the greatest common factor of 9 and 12? 3 9 36 108 What are the Laws of conservation of atoms? Fleming is one of the world's most popular opera stars. In 2010, she accepted a job at the Lyric Opera of Chicago.Part of her job is to share this form of music with wider audiences. She was full of ideas, but what she wasespecially excited about was coaching teens at a music school in Chicago. Students in the program take backstagehours of an opera house. They have the chance to observe singers in rehearsal Fleming says that theseopportunities are valuable for developing singers. She hopes to find and encourage promising young singers. Theprogram is becoming well known and serves as an example to other communities Lisa loaned John $5000 at an interest rate of 6%. He repaid her $5750 to cover the principal and interest. How long did he borrow the money? Factorise fully 2x+8