if £2000 is placed into a bank account that pays 3% compound interest per year how much will be in the account after two years

Answers

Answer 1

[tex]~~~~~~ \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}\dotfill &\pounds 2000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=2000\left(1+\frac{0.03}{1}\right)^{1\cdot 2}\implies A=2000(1.03)^2\implies A=2121.8[/tex]

Answer 2

Answer:

2,121.8

Step-by-step explanation:

2000(1.03)^2

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Related Questions

Natalie can hop 24 times in 8 minutes at a constant rate. How many times can she hop in 7 minutes?

Answers

Answer:

in 7 mins she can hop 21 times

Step-by-step explanation:

24 divided by 8 = 3

24-3=21

Answer:

Natalie can hop 21 times in 7 minutes

Step-by-step explanation:

To figure out how many times she can hop in 7 minutes you need to find the average hop each minute.

First, you write 24/8. You simply that to 3/1.

So Natalie can jump 3 times in 1 minute.

If you want 7 minutes, you multiply 1 by 7, and 3 by 7, which gets you 21 hops for 7 minutes.

-I hope this helps!

Find the smallest number by which 6615 is to be multiplied by to get a perfect square

Answers

Answer:

3x 5

Step-by-step explanation:

Question 7 (1 point)
Which polynomial is equivalent to x2 + 3x ?
O a
-
-
Ob
-
-3 (22 – 2x) + 4x (x + 3) - 12x
3 (22 + 2x) - 4x (x - 3) + 3x
-3 (x2 + 2x) + 4x (x + 3) - 3x
3(x2 - 2x - 4x (x - 3) + 12x
ос
Od
-
-
-

Answers

Answer:

c

Step-by-step explanation:

how do you do thissss???

Answers

The solid above is a triangular prism. Therefore, the surface area of the triangular prism is 157.2 cm².

How to calculate surface area

The figure above is a triangular prism. The surface area of a triangular prism can be calculated as follows:

Surface area = bh + l(p)

where

p = perimeter of the triangular basel = height of prismb = base of the triangular baseh = height of the triangular base

Therefore,

p = 6 + 6 + 6 = 18 cm

l = 7 cm

b = 6 cm

h = 5.2 cm

Therefore,

Surface area = (6 × 5.2) + 7(18)

Surface area = 31.2 + 126

Surface area = 157.2 cm²

learn more on surface area here: https://brainly.com/question/2835293

1. Janelle began the work below to find 368 ÷ 16. Complete the work.​

Answers

Answer:

23

Step-by-step explanation:

[tex]368/16=23[/tex]

23 is the answer because if you divide the answer will be 23.

2/5 g+3h -6 when g=10 h=6

Answers

hello!

let's evaluate this expression

[tex]\pmb{\displaystyle\frac{2}{5}g+3h-6 }[/tex]

[tex]\pmb{\displaystyle\frac{2}{5} *10+3(6)-6}[/tex]

[tex]\pmb{\displaystyle\frac{2}{5} *10+18-6}[/tex]

[tex]\pmb{\displaystyle\frac{2}{5} *10+12}[/tex]

Multiply:

[tex]\pmb{\displaystyle\frac{2}{5} *\frac{10}{1} =\frac{20}{5} =4}[/tex]

Final Step:-

[tex]\pmb{4+12}[/tex]

[tex]\pmb{16}[/tex]

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

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

I need the green box with question mark I can’t get the second part

Answers

Answer:

-14

Step-by-step explanation:

-8 = 3/2 x 4 + ?

-8 = 6 + ?

-8 - 6 = -14

Your answer will be -14.

Have an amaizng day!!

Please rate and mark brainliest!!

ASAPPPP!! Please!
The histogram shows the number of days in the past week that 30 surveyed people exercised.

Number of Days per person.
And days

How many people who were surveyed exercised fewer than 4 days last week?

12
14
16
18

Answers

Answer:

16

Step-by-step explanation:

2 from 3 days

another 2 on 2 days

5 for 1 day

7 for 0 days

2+2+5+7= 16

Thank you to who ever answers this

Answers

Answer:

The answer is G.

Step-by-step explanation:

Trust me.

Answer:

J is the answer

Step-by-step explanation:

I had given the explanation but brainly deleted it for having a link.

Just use this:

"What is a box and whisker plot?

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.

In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.

Example: Finding the five-number summary

A sample of 101010 boxes of raisins has these weights (in grams):

252525, 282828, 292929, 292929, 303030, 343434, 353535, 353535, 373737, 383838

Make a box plot of the data.

Step 1: Order the data from smallest to largest.

Our data is already in order.

252525, 282828, 292929, 292929, 303030, 343434, 353535, 353535, 373737, 383838

Step 2: Find the median.

The median is the mean of the middle two numbers:

252525, 282828, 292929, 292929, \large{30}3030, \large{34}3434, 353535, 353535, 373737, 383838

\dfrac{30+34}{2}=32

2

30+34

=32start fraction, 30, plus, 34, divided by, 2, end fraction, equals, 32

The median is 323232.

Step 3: Find the quartiles.

The first quartile is the median of the data points to the left of the median.

252525, 282828, \large{29}2929, 292929, 303030

Q_1=29Q

1

=29Q, start subscript, 1, end subscript, equals, 29

The third quartile is the median of the data points to the right of the median.

343434, 353535, \large{35}3535, 373737, 383838

Q_3=35Q

3

=35Q, start subscript, 3, end subscript, equals, 35

Step 4: Complete the five-number summary by finding the min and the max.

The min is the smallest data point, which is 252525.

The max is the largest data point, which is 383838.

The five-number summary is 252525, 292929, 323232, 353535, 383838.

Example (continued): Making a box plot

Let's make a box plot for the same dataset from above.

Step 1: Scale and label an axis that fits the five-number summary.

Step 2: Draw a box from Q_1Q

1

Q, start subscript, 1, end subscript to Q_3Q

3

Q, start subscript, 3, end subscript with a vertical line through the median.

Recall that Q_1=29Q

1

=29Q, start subscript, 1, end subscript, equals, 29, the median is 323232, and Q_3=35.Q

3

=35.Q, start subscript, 3, end subscript, equals, 35, point

Step 3: Draw a whisker from Q_1Q

1

Q, start subscript, 1, end subscript to the min and from Q_3Q

3

Q, start subscript, 3, end subscript to the max.

Recall that the min is 252525 and the max is 383838.

We don't need the labels on the final product:

Want to learn more about making box and whisker plots? Check out this video.

Want to practice making box plots? Check out this exercise."

please help me with the question in the picture

Answers

Answer:

(x - 5) / (x - 6) (don't put them in brackets, i'm doing this to signify that all of x - 5 is being divided by all of x - 6).

Step-by-step explanation:

x² + 2x - 35:

what multiplies into -35 and adds into 2?

7 and -5

so the top is now (x + 7)(x - 5)

x² + x - 42

what multiplies into -42 and adds into 1?

-6 and 7

so the bottom is now (x + 7)(x - 6)

the 2 lots of (x + 7) cancel and you are left with (x - 5) / (x - 6)

Answer:

[tex]\frac{x-5}{x-6}[/tex]

Step-by-step explanation:

Let's start with the numerator to factor it.

We need two numbers adding up to 2 and multiplying to -35. Easy to see the number are +7 and -5. You can then factor as [tex]x^2+2x-35=(x+7)(x-5)[/tex]

Denominator then. Same story, Two number adding to 1 and multiplying to -42. Numbers are +7 again and -6. Factors as before:

[tex]x^2+x-42=(x+7)(x-6)[/tex].

Now you can simplify

[tex]\frac{x^2+2x-35}{x^2+x-42} = \frac{(x+7)(x-5)}{(x+7)(x-6)}= \frac{x-5}{x-6}[/tex]

Whoever answers first gets 30 points plus brainliest

how many months are there in 7 years???

good luck ;)

Answers

Answer:

84

Step-by-step explanation:

1 year= 12 months

7 years × 12 months each= 84 months in total for 4 years

A box of 15 cookies costs $9dollar sign, 9. What is the cost for 1 cookie?

Answers

Answer:

$1.66 or $1.70 if you round up

Step-by-step explanation:

Can someone help me out with this?

What is the value of x?



Enter your answer in the box.

Answers

Answer:

x = 4

Step-by-step explanation:

x has the same value as RT since they are equal sides of the isosceles triangle.

RT is also the hypotenuse of ΔRST - 30°×60°×90° right triangle.

Acoording to the property of such triangles, the ratio of sides is:

a : b : c = 1 : √3 : 2

We have:

b = 2√3 and c = RT

Use the ratio to find the lenght of RT

2√3 : RT = √3 : 2RT = 2*2√3/√3RT = 4

So the value of x is 4 units

Find RT

sin60=2√3/RT√3/2=2√3/RTRT=4√3/√3RT=4

Now

tan45=x/4x=4

An angle of measure [tex]\frac{4\pi }{3}[/tex] intersects the unit circle at point ([tex]-1/2,- \frac{\sqrt{3} }{2}[/tex]). What is the exact value of tan([tex]\frac{4\pi }{3}[/tex])?
a. -1/2
b. [tex]\sqrt{3[/tex]
c. [tex]\frac{\sqrt{3} }{3}[/tex]
d. [tex]-\frac{\sqrt{3} }{2}[/tex]

Answers

Answer:

  b.  √3

Step-by-step explanation:

Given a point on the unit circle that represents the position of the terminal ray of an angle, the tangent of that angle is the ratio of the y-coordinate to the x-coordinate.

  tan(4π/3) = y/x = (-√3/2)/(-1/2) = √3/1

  tan(4π/3) = √3

_____

Additional comment

A calculator can confirm this for you.

Pllllssss answer!! i only have a few more minutess!! (i'll give brainilest) tyler wants to buy some cherries at the farmer's market. he has $ 10 and cherries cost $4 per pound. 1. if c is the number of pounds of cherries that tyler can buy, write one or more inequalities or equations describing c. 2. can 2 be a value of c? can 3 be a value of c? what about -1? explain your reasoning. 3. if m is the amount of money, in dollars. tyler can spend, write one or more inequalities or equations describing m. 4. can 8 be a value of m? can 2 be a value of m? what about 10.5? explain your reasoning. did you answer all 4 parts?​

Answers

answer:

step by step explanation:

10-4 = c

6 = c

he can buy 2 pounds of cherries

2. 2 can be the value of c

c = 2

10- 4c

10- 4(2)

10 - 8 = 2

c = 3

10 - 4c

10- 4(3)

10 - 12 = -2

c = -1

10 - 4(-1)

10 - (-4)

10 + 4

= 14

manage this

mark me brainliest

The function P(x) is mapped to I(x) by a dilation in the following graph.
Which answer gives the correct transformation of P(x) to get to I(x)?

Answers

The correct transformation of P(x) to get I(x) is I(x) = 2P(x)

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

From the graph of I(x) and P(x), we can see that:

I(x) = 2P(x)

The correct transformation of P(x) to get I(x) is I(x) = 2P(x)

Find out more on transformation at: https://brainly.com/question/1548871

someone please help me find the value of x

Answers

Answer:

x = 102.5°

Step-by-step explanation:

these two angles are adjacent and supplementary which means their sum must be equal to 180 degrees

create this equation to find 'x':

x + x-25 = 180

combine 'like' terms:

2x - 25 = 180

add 25 to each side:

2x = 205

x = 205/2 or 102.5°

What is the standard form of the equation of a parabola that opens left or right? A. Y = ax2 + bx + c B. X = ay2 + by + c C. X = a(y - v)2 + h D. Y = a(x - h)2 + v

Answers

Answer:

The equation of the parabola which opens left or right is (B) x= ay^2 + by + c

:)

please check picture and answer correctly please.

Answers

Answer:

27

Step-by-step explanation:

multiply 9 x 6 and you get 54. Since it's a triangle divide by 2 and you get 27

Determine which polynomial is a perfect square trinomial. 4x2 − 12x 9 16x2 24x − 9 4a2 − 10a 25 36b2 − 24b − 16.

Answers

This [tex]4x^2 - 12x + 9[/tex] factors into [tex](2x - 3)^2[/tex], and is thus a perfect square trinomial.

What is a perfect square?

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

Trinomial [tex]Ax^2 + Bx + C[/tex] is a perfect square if

A > 0

C > 0

B = ±2√A√C

1. [tex]36b^2 - 24b - 16[/tex]

C < 0

2. [tex]4a^2 - 10a + 25[/tex]

2√A√C = 2×2×5

              = 20,

B = −10

3. [tex]16x^2 + 24x - 9[/tex]

not a perfect square,

C < 0

4. [tex]4x^2- 12x + 9[/tex]

perfect square

A>0,

C>0,

2√A√C = 2×2×3

-B = 12

= [tex](2x - 3)^2[/tex]

Thus,  [tex]4x^2- 12x + 9[/tex] the polynomial is a perfect square trinomial.

Learn more about perfect square;

https://brainly.com/question/1832550

Tom earns $3200 a month. He pays $950 to rent an apartment. What percent of Tom’s income does he pay

Answers

Hey there!

Answer:

336.84%

3200 out of 950 is 336.84%

Solution:

3200 out of 950 is what %?

3200 out of 950 is P%

Equation: Y/X = P%

Solving our equation for P

P% = Y/X

P% = 3200/950

p = 3.3684

Convert decimal to percent:

P% = 3.3684 * 100 = 336.84%

well, if we take 3200 to be the 100%, what is 950 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 3200 & 100\\ 950& x \end{array} \implies \cfrac{3200}{950}=\cfrac{100}{x}\implies \cfrac{64}{19}=\cfrac{100}{x} \\\\\\ 64x=1900\implies x=\cfrac{1900}{64}\implies x = 29.6875[/tex]

Solve the system of equations at right. 2^(x+y)=16 2^(2x+y)= 1/8

Answers

Answer:

  (x, y) = (-7, 11)

Step-by-step explanation:

The system of exponential equations can be solved by the use of logarithms. Equivalently, the equations can be written so that exponents can be equated. This system is equivalent to two linear equations.

First equation:

  2^(x+y) = 16

  2^(x +y) = 2^4 . . . . use the same base to write the constant

  x +y = 4 . . . . . . . . equate exponents of 2 (take log₂ of both sides)

Second equation:

  2^(2x +y) = 1/8

  2^(2x +y) = 2^(-3) . . . . use the same base to write the constant

  2x +y = -3 . . . . . . equate exponents of 2

Solve the linear equations:

We can subtract the first equation from the second to get ...

  (2x +y) -(x +y) = (-3) -(4)

  x = -7

  y = 4 -x = 4 -(-7) = 4 +7 = 11 . . . . use the first equation to find y

The solution to the system is (x, y) = (-7, 11).

What is the correct answer for this?

Answers

side=a=5cm

Volume:-

side³a³5³125cm³

Angle 1 and Angle _____________ are supplementary angles.

Answers

Answer: number 2

Step-by-step explanation: so a supplementary Angle adds up to a 180 angle so it would be number 2 I think.

A figure is made up of three triangles. Each triangle has a base of 5 feet and a height of 4.5 feet. What is the total area of the figure?
Group of answer choices

33.75 ft²

43.75 ft²

67.5 ft²

22.5 ft²

Answers

Answer:

Step-by-step explanation:

3 * 1/2 * 5 * 4.5

= 33.75 fT^2.

Find the amplitude and period of y = 5 cos (4x)

Answers

Answer: amplitude is 5 and Period is pi/2

Step-by-step explanation:

yes ‍♀️

Find S.P. in the following cases. a) M.P. = Rs 540, discount = 5 %​

Answers

Step-by-step explanation:

Given:-

MP = Rs 540. Discount = 5 %

To Find:-

Sell price

Solution:-

SP = MP - Discount.

MP = Marked Price ( Also called List Price) SP = Selling Price.

Discount = (Discount %) of MP

Discount = (5/100) 54p

Discount = 27 Rs

Subtract discount from MP to get SP

SP = MP - Discount

SP = 540 - 27 Rs

SP = 513 Rs

Answer;

soln;

MP= Rs 540

discount = 5%

now,

SP = MP - D% of MP

    = 540 - 5/100 * 540

    =Rs 513

   

please help i am confused

Answers

Answer:

Step-by-step explanation:

If 70% passed both, then that means 30% passed either one test, or neither test.

Since 80% passed the first test, we know that 20% of the students failed the first test.

This means that the other 10% of the students came from the 80% that already passed the first test.

These make up 10/80 = 12.5% of the people that passed the first test, meaning your answer is 100-12.5=87.5%


What is the value of c

Answers

Answer:

x = 49º

Step-by-step explanation:

This is  right angle, and right angle's are always a 90º angle. 90º - 41º is 49.

So the basic answer is 49, but it's properly written as "49º".

Hope this helps!!

The value of x: 49 degrees

Note: All the angles in a triangle add up to 180 degrees

What we're given:

41 degrees, A right angle, and x.

A right angle is 90 degrees.

Equation:

41 + 90 + x = 180

131 + x = 180

x = 49 degrees

Elaine sold twice as many T-shirts as Kim
How many did each girl sell if the total
number of T-shirts sold was 27?
(no links no files) I need equation

Answers

x + 2x = y this equation will solve the problem
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Read Philiipians 2:12-16 Complaining is a serious problem. What does Paul saying about grumbling and why should we avoid it? voltaire: what was his thinking in religious tolerance and free speech Find the perimeter of a triangle with sides lengths 8, 10, and 12.36141530 Tomas used 3 and one-third cups of flour and now has 1 and two-thirds cups left. Which equation can he use to find f, the number of cups of flour he had to begin with? f + 3 and one-third = 1 and two-thirdsf minus 3 and one-third = 1 and two-thirds3 and one-third f = 1 and two-thirdsf divided by 3 and one-third = 1 and two-thirds What is the relationship between the electron configuration of an element and the period in which that element appears in the periodic table?. Thermal energy is transferred between objects when they have?A. the same massB. different temperaturesC. the same kinetic energy If a buffer is composed of 33. 80 ml of 0. 164 m acetic acid and 31. 63 ml of 0. 189 m sodium acetate, how many ml of 0. 100 m hcl can be added before the buffer capacity is reached? The ______ carries urine from the kidney to the bladder, and the ______ carries urine from the bladder to the outside of the body. Which feature is common to both living cells and viruses?A. capsidB. cytoplasmC. nucleic acidD. ribosome Write this ratio as a fraction in simplest form without any units six weeks to 18 days Davion wants to buy 4 tickets to a basketball game. He sees that there is a discount for $25 o hisentire purchase at checkout, so the tickets would cost him $215 before tax,What was the originalprice of each ticket? Which number can each term of the equation be multiplied by to eliminate the fractions before solving?6-3/4x+1/3=1/2x+523612 find the sum, plss help thanks! Which of the following is TRUE of the process of meiosis?A. It results in the number of chromosomes being reduced by half.B. The process adds an extra twenty-first chromosome.C. Meiosis results in two cells, each with 46 chromosomes. 50 POINTS 50 POINTS please help me with these 5 questions attached pictures Maggie brought $10 to the candy store. She will buy a certain amount of fudge. One pound of fudge costs $2.30. If p represents the amount of fudge, in pounds, Maggie buys, which expression represents the money Maggie has left after visiting the candy store? Find the total surface area of the cube.2.2 cm grade 6 math 1. Mr. Carlos bought a T-shirt for 254.95. Round this off to the nearest peso. F(x)=4x^2 and g(x)=x+1, find (f x g)(x) SECTION (A) (Answer ALL questions) a) Iff:R R is defined by f(x) = x2 +3, find the function g such that (fog)(x) =9x2 12x+7.