A person deposited Rs 60000 in a bank for 2 years at the rate of 10%pa compounded annually.But after one year,bank has changed the policy and decided to pay semi-annual compound interest at the same rate.What is the percentage difference between compound interest of first year and second year?

Answers

Answer 1

Answer:

[tex]1.159\%[/tex]

Step-by-step explanation:

Given: Principal or P [tex]=\textrm{Rs }60,000[/tex].

Rate or R [tex]=10\%[/tex] per annum compounded annually.

Time or T [tex]=2[/tex] years.

To find: Percentage difference between compound interest of first year and second year.

Solution:

First year interest [tex]=\frac{\textrm{P}\times \textrm{R}\times \textrm{T}}{100}=\frac{60000\times 10\times 1}{100}=\textrm{Rs }6000[/tex].

First year amount [tex]=\textrm{Rs }60,000+\textrm{Rs }6,000=\textrm{Rs }66,000[/tex].

For the second year, the interest is compounded semi-annually.

So, time is doubled and the rate is halved.

Second year compounded amount [tex]=66,000\times [1+\frac{10}{2\times 100}]^2=66,000\times1.1025=\textrm{Rs }72,765[/tex].

Second year compound interest [tex]=\textrm{Rs }72,765-\textrm{Rs }66,000=\textrm{Rs }6,765[/tex].

Difference in interest of first and second year [tex]=\textrm{Rs }6,765-\textrm{Rs }6,000=\textrm{Rs }765[/tex].

Percentage difference [tex]=\frac{765}{66000}\times 100\%=1.159\%[/tex].

Hence, the percentage difference between compound interest of first year and second year is [tex]1.159\%[/tex].


Related Questions

Subtract (8x + 6) − (x + 4).
I WILL BE MARKING BRAINLIST!

Answers

Answer:

7x+10

Step-by-step explanation:

match like terms

8x-x+6+4

7x+10

Answer:

[tex]7x+2[/tex]

Step-by-step explanation:

Alright. First, we have to remember that anything, even a minus sign, directly outside of a term in parentheses means that the term is being multiplied by that number or sign outside of it. A minus sign simply means -1.

I'm going to show you one method. There might be another one, but this method will be useful later in algebra.

So, we've established that a minus sign is actually -1. Now, let's rewrite the equation.

[tex](8x+6)-1(x+4)[/tex]

We'll simplify this now by removing the parentheses and distributing that -1.

[tex]8x+6-x-4[/tex]

Rearrange.

[tex]8x-x+6-4[/tex]

Combine like terms.

[tex]7x+2[/tex]

So,  [tex](8x+6)-(x+4)[/tex] equals [tex]7x+2[/tex].

I need help please! ​

Answers

Answer:

Yes

Step-by-step explanation:

1/4+1/4+1/4=3/4 can also be written as

3*1/4

5+5+5+5+5+5+5+5+5+5+11111111111111111111111122222222222222222222222333333333333333333333333333334444444444444444444444444455555555555555555555555555666666666666666666666666666666677777777777777777777777777788888888888888888888888888888889999999999999999999999999999991111111111111111111111111111111100000000000000000000000000000000000

Answers

Answer:

w                  t                                   f

Step-by-step explanation:

Answer: Its kinda confusing lol

Step-by-step explanation:

I would help but I dont get it sorry

Alexis can buy an 12-pound- bag of dog food for $10.80 or an 8-pound bag of the same dog food for $10.20. Which is the better buy?

Answers

Answer:

The 12-pound bag of dog food.

Step-by-step explanation:

To find out which is the better buy you start by divinging 10.80 by 12 and then you divide 10.20 by 8 and you get .90 cents for the 12 pound while you get 1.275 dollars. Which means the 12 pound bag is the better by because it is less money per pound than the 8 pound bag.

Help pleasee! Thank uu

Answers

Answer:

The answer is the 2nd option

Step-by-step explanation:

..................the y intercept

Evelyn has a 32 ounce flavored water. She drinks 23 ounces. Enter the percentage of ounces Evelyn has left of her flavored water. Round your answer to the nearest hundredth. 10 points Your answer

Answers

Answer:

The answer is 7.36.

Step-by-step explanation:

23% of 32 = 7.36.

HELP ME RIGHT NOW GRAND PRIZE IS 10 POINTS COME ON COME ON PLEASE SJNDINKOJDEWNIOEW
Solve the system of equations using the substitution method. Make sure to check your solution.

y = 3x + 2

-4x + 4y = 16

In the blanks below, type just the number for the x-coordinate in blank 1 and just the number for the y-coordinate in blank 2.

x-coordinate:
y-coordinate:

Answers

Answer: X = 1

Y= 5

Step-by-step explanation:

Plug in y = 3x + 2 in the Y coordinate to find X

-4x + 4(3x + 2) = 16

Now you can solve for X

X = 1

Then plug in 1 in the X coordinate to find Y

-4(1)+ 4y= 16

Now you can solve for Y

Y= 5

YOUR WELCOME

X=3y
Y=x+4

I have the answers. I just need help showing my work plz :)

Answers

Step-by-step explanation:

Given, x=3y and y=x+4

y=3y+4.... substituting x=3y

y-3y=4

-2y=4

y=-2

Then substitute -2 either in x=3y or y=x+4 equations

x=3(-2)

=-6

Help Please! I dont understand these questions!
Directions: Write the equation of the line in point-slope form, then convert that equation to slope-intercept form. Show your work!

1. Write the equation of the line that is parallel to y = 2x + 4 and passes through the point (-4, -1).

2. Write the equation of the line that is parallel to y = ⅓x - 3 and passes through the point (3, -1).

3. Write the equation of the line that is perpendicular to y = ¾x - 1 and passes through the point (3, -3).

4. Write the equation of the line that is perpendicular to y = -x - 5 and passes through the point (7, 3).

Answers

The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

The slope-intercept form of the equation of line it's y = mx + b, where m is the slope and b is the y-intercept of the line.

1. Write the equation of the line that is parallel to y = 2x + 4 and passes through the point (-4, -1).

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 2x + 4  ⇒   m₁ = 2    ⇒    m₂ = 2

(-4, -1)  ⇒  x₁ = -4,  y₁ = -1

point-slope form:

y - (-1) = 2(x - (-4))

y + 1 = 2(x + 4)

y + 1 = 2x + 8               {subtact 1 from both sides}

y = 2x + 7         ←    slope-intercept form

2. Write the equation of the line that is parallel to y = ⅓x - 3 and passes through the point (3, -1).

y = ⅓x - 3  ⇒   m₁ =  ⅓    ⇒    m₂ =  ⅓

(3, -1)  ⇒  x₁ = 3,  y₁ = -1

point-slope form:

y - (-1) = ⅓(x - 3)

y + 1 = ⅓x - 1           {subtact 1 from both sides}

y = ⅓x - 2         ←    slope-intercept form

3. Write the equation of the line that is perpendicular to y = ¾x - 1 and passes through the point (3, -3).

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = ¾x - 1   ⇒   m₁ = ¾  

¾×m₂ = -1        ⇒    m₂ = -⁴/₃

(3, -3)  ⇒  x₁ = 3,  y₁ = -3

point-slope form:

y - (-3) =  -⁴/₃(x - 3)

y + 3 = -⁴/₃x + 4           {subtact 3 from both sides}

y = -⁴/₃x + 1         ←    slope-intercept form

4. Write the equation of the line that is perpendicular to y = -x - 5 and passes through the point (7, 3).

y = - x - 5   ⇒   m₁ = -1  

-1×m₂ = -1        ⇒    m₂ = 1

(7, 3)  ⇒  x₁ = 7,  y₁ = 3

point-slope form:

y - 3 =  -1(x - 7)

y - 3 = - x + 7           {add 3 to both sides}

y = - x + 10         ←    slope-intercept form

8s-3x+4k= what is the answer

Answers

Answer:

K= -2s + 0.75x is answer

Step-by-step explanation:

I hope it's helpful!

Answer:

v

Step-by-step explanation:

A recipe for punch calls for 5 parts grape soda to 2 part seltzer. If hector has 10 cups of of grape soda, how much seltzer does he need?

Answers

Answer:

assuming 10 cups it 10 parts then the answer is 4 cups of seltzer

will mark brainliy
Solve the Equation for f: -2/3f-4=10 *

Answers

Answer:

F=-21

Step-by-step explanation:

M a t h w a y

(3y^2 – 4y + 1) +
(- y^2 + 4y – 3)

Answers

Answer:

2y^2-4y+2

Step-by-step explanation:

3y^2-4y+1-y^2+4-3

3y^2-y^2-4y+1+4-3

2y^2-4y+1+4-3

2y^2-4y+2

Marta earns 12.50 from babysitting and, and then spends some of her earnings on a new book. She has 8.00 of her earrings left. Write and solve an equation to find the cost of the book. And answer the questions above

Answers

Answer:

$12.50 -  $8:00 = ? , ? = $4.50

Step-by-step explanation:

$12.50 earned from babysitting

Spends some on a new book

$8.00 left

12.50 - 8.00

0-0= 0 , 5- 0 = 5 , 12-8 = 4,

Reverse ur answer and add a dot (.) between 4 and 50

Answer: $4.50, $12.50 -  $8:00 = ? , ? = $4.50

Need help for extra credit please???

Answers

Answer:

what si the extra credit

The average temperature at the South Pole is -49.62°C, and the average temperature at the North Pole is -34.68°C. How much higher is the average temperature at the North Pole than at the South Pole?

Answers

Answer:

14.94 degrees higher

Step-by-step explanation:

all you gotta do is find the difference, -49.62 minus -34.68, i suggest a calculator for things that are more difficult to do in your head

how do i do a coordinate plane

Answers

Answer:

To find out the coordinates of a point in the coordinate system you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate.

Step-by-step explanation:

The bike store marks up the wholesale cost of all of the bikes they sell by 30%. The store buys a bike for $125. How much will they sell the bike for at the store? (Assume that there is no sales tax.)

Answers

Answer:

$162.50

Step-by-step explanation:

this is because 30°/• of 125 us 37.5 then if you add that you get 162.50

Answer:

aaaaaaaa

Step-by-step explanation:

Which of the following logarithms do not exist?
a) logarithms with fractional bases
b) logarithms of negative numbers
c) logarithms that equal zero
d) logarithms of irrational numbers

Answers

Answer:

B. logarithms of negative number don't exist

Answer:

B. logarithms of negative number

Step-by-step explanation:

The class sizes of the Introductory Psychology courses at a college are shown below.
121, 134, 106, 93, 149, 130, 119, 128
The college adds a new Honors Introductory Psychology course with 45 students. What effect does the new class size have on the center and
spread of the class sizes of the Introductory Psychology courses at the college?
OA. The value of the center decreases and the distribution has a smaller spread.
O B. The value of the center increases and the distribution has a larger spread.
OC. The value of the center increases and the distribution has a smaller spread.
OD. The value of the center decreases and the distribution has a larger spread.

Answers

Answer:

pic of question

Step-by-step explanation:

option D) The value of the center decreases and the distribution has a larger spread.

What is the mean of a distribution?

Mean is the measure of the central tendency or the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.  

Given here the distribution as 121, 134, 106, 93, 149, 130, 119, 128

therefore their mean is = (121+134+106+ 93+ 149+ 130+ 119+ 128)/8

                                       = 122.5

Again after the new course was added the new mean is          

  =  (121+134+106+ 93+ 149+ 130+ 119+ 128+45)/9

 = 113.88

Hence clearly the mean has decreased and the distribution has a larger spread.

Learn more about the mean here:

https://brainly.com/question/13451489

#SPJ2

EXPAND:
(p-2p)^3
Plz answer. ​

Answers

Answer:

-p^3

Step-by-step explanation:

( p - 2 p ) ^ 3

combine p and 2p to get -p

》expand (-p)^3

》(-1)^3p^3

calculate -1 to the power of 3 and get -1

and this equals -p^3

A picture that is 6 3/4 feet wide has to be centered on a wall that is 15 1/2 feet wide, how much space is there from the edge of the wall to the picture.

Answers

Answer: 4 3/8 feet

Explanation: First off, you want to do 15 1/2 - 6 3/4 which gives you 8 3/4. Next, to get your answer, you want to divide 8 3/4 by 2 since 8 3/4 is the TOTAL distance on both sides, not the distance from the wall to the picture on one side. After you divide, you will get a final answer of 4 3/8. Hope this helped!

please help me as soon as possible! :)

Answers

Answer:

-8,-7,-5,-3,-2

-80,-40,20,60

Step-by-step explanation:

help help help help help help help help!!!!

Answers

Answer:

c is the answer have a nice day

Step-by-step explanation:

PLZ HELP ASAP!!!!! Show all work

Answers

Answer:

a) 198.7% interest

Not too sure about answer to (b)

b) 4.75% annualized  

Step-by-step explanation:

a) i used Interest = Principal x Rate x Time

   40 = 525 x [tex]\frac{14}{365}[/tex] x r

    40 = 20.13r

    r = 1.987 or 198.7%

b) i used this proportion:   [tex]\frac{1.98}{1/24}[/tex] = [tex]\frac{x}{1}[/tex]      'x' represents annualized rate

                                                             1/24 represents 2 weeks out of a year

1/24x = 1.98

x = 4.75%

Which is more, 1 pint or 16 fluid ounces?

Answers

Answer:

they are the same

Step-by-step explanation:

Answer:

there the same I think. sorry if its wrong

What is the period of the graph of y = 5 sin (4 pi x) + 3?

A. 5
B. 1/2
C. 4pi
D. 3

Answers

Here’s the answer and how you get it :)

The image below is an example of what construction?

Answers

Answer:

a regular hexagon

Step-by-step explanation:

6 corners

If Rectangle A has a length of 4 and a width of 2 and Rectangle B has a length of 16 and a width of 8 what would the scale factor be from A to B

Answers

Answer:

4

Step-by-step explanation:

To know the scale factor here, just know that 16/4 = 4, and 8/2 = 4 too, so the scale factor is 4.

Just that the respective sides need to have the same ratio.

Note, if it was from B to A, it'd be 1/4.

Answer:

I took the test the answer isnt 4 its 7 hes wrong

Step-by-step explanation:

glad to help :)

How much is 75% of 10 liters of milk?

Answers

Answer:

1. 75% of 10 liters of milk = 0.75 * 10 liters of milk = 7.5 liters of milk  

2. To find 75% of a number, multiply the number by 0.75.

Answer by mathstudent55 give credit to him/her

Answer 7.5

Step-by-step explanation:

You can find this by dividing the number by 10, for example let’s use the number 20.

you would divide 20 by 10 which is 2 and times it by 7.

This is 14.

By finding this you have found 70% of 20.

now to find 5%, i would divide 20 by 10 once again which is 2 and then i would divide it by 2 which is 1.

then you would add the 2 numbers so 14+1 to get 15 therefore 75%of 20=15

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