1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Darina [25.2K]
3 years ago
11

Compound interest £2000 for 3 years 5.5% annum

Mathematics
1 answer:
xenn [34]3 years ago
6 0
\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\£2000\\
r=rate\to 5.5\%\to \frac{5.5}{100}\to &0.055\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{per annum, thus once}
\end{array}\to &1\\
t=years\to &3
\end{cases}
\\\\\\
A=2000\left(1+\frac{0.055}{1}\right)^{1\cdot 3}
You might be interested in
Simon designed the game below, which is played by throwing one dart into the board
nataly862011 [7]

Answer:D

Step-by-step explanation:scoring 5 or greater

Because the least he can score is 5 till 20

So 5 or greater means it could be 10,15 or 20

Hope it help you

8 0
2 years ago
A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed w
evablogger [386]

The water in the cylinder will be 1179π in³. Thus, 2nd answer choice is correct.

<h3>What is the volume of a right circular cylinder?</h3>

Suppose that the radius of the considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

V = \pi r^2 h \: \rm unit^3

A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water.

A 6-inch-diameter ball is placed within the cylinder, and then the cylinder is filled with water.

We have to find the volume of the empty cylinder and then the volume of the ball.

Subtract the latter from the former.

The volume of the cylinder = πr^2h.  

= π(9 in)²(15 in)

= 1215π in³

Volume of the ball =  (4/3)π(3 in)³

                                = 36π in³

Subtracting

= 1215π in³ - 36π in³

= 1179π in³  

Thus, 2nd answer choice is correct.

Learn more about the volume of cylinder here:

brainly.com/question/12763699

#SPJ1

7 0
2 years ago
Jeremy wants to construct an open box from an 18-inch square piece of aluminum. He plans to cut equal squares, with sides of x i
serious [3.7K]

a.

The volume of the box V = 4x³ - 72x² + 324x

Since the dimensions of the square piece of paper are 18 inches each, and we cut out a length x from each side to give a total length of 2x cut from each side. So, each dimension is L = 18 - 2x.

Since the height of the open box is x and its base is a square, the volume of the open box ix V = L²x

= (18 - 2x)²x

= (324 - 72x + 4x²)x

= 324x - 72x² + 4x³

The volume of the box V = 4x³ - 72x² + 324x

b.

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

  • the length of the box, L = 12 inches,
  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Since the volume of the box is 432 cubic inches,

V = 324x - 72x² + 4x³

324x - 72x² + 4x³ = 432

4x³  - 72x² + 324x - 432 = 0

x³  - 18x² + 81x - 108 = 0

A factor of the expression is x - 3

So, x³  - 18x² + 81x - 108 ÷ x - 3 = x² - 15x + 36

So,  x³  - 18x² + 81x - 108 = (x² - 15x + 36)(x - 3) = 0

Factorizing the expression x² - 15x + 36 = 0

x² - 3x - 12x + 36 = 0

x(x - 3) - 12(x - 3) = 0

(x - 3)(x - 12) = 0

So,  x³  - 18x² + 81x - 108 = (x - 3)(x - 3)(x - 12) = 0

So, (x - 3)²(x - 12) = 0

(x - 3)² = 0 and (x - 12) = 0

x - 3 = √0 and x - 12 = 0

x - 3 = 0 and x - 12 = 0

x = 3 twice and x = 12

Since x = 3 is the minimum value, the minimum value of x = 3.

Since the length of the box, L = 18 - 2x

= 18 - 2(3)

= 18 - 6

= 12 inches

The width of the box = L = 12 inches

The height of the box = x = 3 inches.

So,

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

  • the length of the box, L = 12 inches,
  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Learn more about volume of a box here:

brainly.com/question/13309609

6 0
2 years ago
HELP! ANSWER AS SOON AS POSSIBLE ASAP!
Galina-37 [17]

Answer:c

Step-by-step explanation:

4 0
2 years ago
If you bought a cookie for 80¢ and paid for it with a 5 dollar bill, how much change would you receive?
Inessa [10]

Answer:

4 dollars and 20 cents

Step-by-step explanation:

5.00-.80=4.20

5 0
3 years ago
Read 2 more answers
Other questions:
  • Fl v = fl ʒ _____<br> any help please
    12·1 answer
  • The manager of a grocery store wants to determine the average amount of money spent at his store as it compares to the average d
    14·1 answer
  • John works at a computer outlet. He receives a weekly salary of $300 plus 5% commission on his sales. Last week, he sold $35,200
    5·1 answer
  • Could you please help me?
    7·1 answer
  • A Broadway theater has 400 ​seats, divided into​ orchestra, main, and balcony seating. Orchestra seats sell for $ 80 comma main
    7·1 answer
  • Select the fraction greater than 7/9. a)4/5 b)2/3 c)13/18 d)3/5
    5·1 answer
  • pheobe andy and polly share £270 pheobe gets three times as much as andy who hets twice as much as polly how much do they each g
    12·1 answer
  • Which of the following is not a polynomial?
    8·2 answers
  • (2^7 .〖 5〗^8)/〖10〗^7
    8·1 answer
  • Enter the number that 95.746 rounds to when rounded to the nearest hundredth.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!