calculate the amount and compound interest on rupees 4000 at the rate of 8% per annum compounded annually for 2 years​

Answers

Answer 1

Step-by-step explanation:

To calculate the compound interest we use the formula

C = A - P

Where

A is the amount

P is the principal

C is the compound interest

To find the amount we use the formula

[tex]A = P(1 + \frac{r}{100} ) ^{n} [/tex]

where P is the principal

r is the rate

n is the period

From the question

P = 4000 rupees

rate = 8%

n = 2 years

Substitute the values into the above formula

That's

[tex]A = 4000( 1 + \frac{8}{100} )^{2} [/tex]

[tex]A = 4000 ({1 + 0.08})^{2} [/tex][tex]A = 4000 ({1.08})^{2} [/tex]

A = 4665.6

The amount is 4665.60 rupees

Since the amount is found we can now find the compound interest

C = 4665.60 - 4000

C = 665.6

The compound interest is 665.60 rupees

Hope this helps you


Related Questions

In March, Mateo ran 19 miles. In April, he ran twice as many miles as he ran in March. In May, he ran four times as many miles as he did in April. How many total miles did Mateo run in the three months? Enter your answer in the box.

Answers

Answer:

209

Step-by-step explanation:

march = 19 miles

april = 19 times 2 = 38

may = 38 times 4 = 152

so that'd be 19 + 38 + 152 = 209 miles in total.

209 miles Mateo ran in the three months.

What is Simplification?

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

Given that,

Mateo ran in March = 19 miles,

Also,

Mateo ran in April = 2 times of ran in March = 2 x 19 = 38 miles

Mateo ran in May = 4 times of ran in April = 4 x 38 = 152 miles.

Total distance ran by Mateo in all three months

= ran in March + ran in April + ran in May

= 19 + 38 + 152

= 209 miles.

Mateo ran 209 miles in all three months.

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Hi how do I solve this simultaneous equation

Answers

Answer:

for the first one find a common dinominator which is 6 because you multiplied 2 times 3 which is 6 you have to do the same for the top so 3 multiplyed by 3 is 9 than the same for the other side than for x

Step-by-step explanation:

Megan leaves her house at 4:15 to go soccer practice. It takes her 35 minutes to get there. Her practice is two hours long. Then, she drives home, which takes 40 minutes. What time does she get back home?

Answers

Answer:

7:35

Step-by-step explanation:

we take the 35 and 45 and add it together, then take out the 60 minutes and put that in as an hour. the practice is two hours long plus the hour we took out. then the remaining minutes are 20. we add 20 minutes and three hours

Subtract the matrices

Answers

Answer:

pleas learn subtraction

Step-by-step explanation:

so it can make you better in math

Answer:

[tex]\large \boxed{\mathrm{Option \ A}}[/tex]

Step-by-step explanation:

[tex]{\mathrm{view \ attachment}}[/tex]

PLS ANSWER I WILL GIVE YOU BRAINLIST AND A THANK YOU!!

Answers

Answer:

x=45

Step-by-step explanation:

2x+45+x=180

Combine 2x and x to get 3x.

3x+45=180

Subtract 45 from both sides.

3x=180−45

Subtract 45 from 180 to get 135.

3x=135

Divide both sides by 3.

x=135/3

Divide 135 by 3

x=45

10 points to the person who answers this whole thing and I will mark you as brainliest.

Answers

Answer:

Step-by-step explanation:

Perimeter is found by adding together all the lengths of the sides. For us, that is x + (2x + 5) + (6x - 17) + (3x + 2). Now we will just combine like terms. We can also drop the parenthesis because they do nothing for us and mean nothing to the problem.

x + 2x + 5 + 6x - 17 + 3x + 2 becomes

12x - 10

What is the volume of this rectangular prism?
2 cm
7/3 cm
2 cm

Answers

Answer
9.3
Explanation
I got it right

Answer:

28\3

Step-by-step explanation:

The value of which of these expressions is closest to e?

Answers

Answer:

b

Step-by-step explanation:

Which explanation can be used to derive the formula for the circumference of a circle? Will give brainliest!
A) Find the length of the diameter and double this length. Multiply this length by ​π​ and set equal the to the circumference. Substitute the diameter for 2 times radius.
B) Find the difference between the length of the circumference and diameter. Set up an equation showing the relationship of the circumference to diameter to the difference. Rearrange the equation to solve for the circumference. Substitute the diameter with 2 times the radius.
C) Find the ratio of the diameter to the area of the circle. Use this ratio to set up an equation to show this ratio equaling ​π​. Substitute the area with 3 times the circumference. Then rearrange the equation to equal to the circumference.
D) First find the relationship of the circumference to its diameter by finding that the length of the diameter wraps around the length of the circumference approximately ​π​ times. Use this relationship to write an equation showing the ratio of circumference to diameter equaling ​π​ . Then rearrange the equation to solve for the circumference. Substitute the diameter for 2 times the radius.

Answers

Answer:

D. First find the relationship of the circumference to its diameter by finding that the length of the diameter wraps around the length of the circumference approximately ​π​ times. Use this relationship to write an equation showing the ratio of circumference to diameter equaling ​π​ . Then rearrange the equation to solve for the circumference. Substitute the diameter for 2 times the radius.



Step-by-step explanation:

Last year, there were 245 pies baked for the bake sale. This year, there were k pies baked . Using k, write an expression for the total number of pies baked in the two years.

Answers

Answer:

245 + k

Step-by-step explanation:

Since we know that,

245 = amt. of pies baked for the bake sale last year.

--> and k = (unknown) amt. of pies baked for the bake sale this year.

Using k, we need to write the total amt. of pies baked for bake sales in the 2 years.

last year + this year =>

respectively, 245 and k

Thus, we get 245 + k

HELP! URGENT!
Alice wrote three consecutive even numbers. The sum of these numbers was 252.

Pat wrote three consecutive odd numbers. Pat's numbers were larger than Alice's numbers.

The difference between the largest of Pat's numbers and the largest of Alice's numbers was 25.

What was the sum of Pat's numbers?

Answers

Answer:

333

Step-by-step explanation:

Let a represent Alice's numbers and p represent Pat's numbers.

Alice wrote three consecutive even numbers. The sum of the three is 252. This means:

[tex]a+(a+2)+(a+4)=252[/tex]

The first term is even. Each consecutive even term is two more than the previous term. Simplify:

[tex]3a+6=252\\3a=246\\a=84[/tex]

In other words, Alice's first number was 84.

Pat wrote three consecutive odd numbers. His numbers were larger than Alice's numbers. Similar to Alice, we can write:

[tex](p+1)+(p+3)+(p+5)=x[/tex]

The first term is odd. Each consecutive odd term will be 1 more, then 3 more, then 5, etc. We want to find Pat's sum, or x.

We are told that the difference between the largest of Pat's and Alice's  numbers is 25. Therefore:

[tex](p+5)-(a+4)=25[/tex]

Simplify. Substitute a. Solve for p:

[tex]p-a+1=25\\p-84=24\\p=108[/tex]

Therefore, Pat's sum is:

[tex](108+1)+(108+3)+(108+5)=333[/tex]

2x + 5 = 22.
how can I write it in a scenario?

Answers

Answer:

Alexis sold 22 lemon cups, 5 of the cups she sold were large and the rest were small, how many small cups did she sell?

when a number is divided by 37, the quotient is 57, and the remainder is 29. what is the number

Answers

Answer:

Step-by-step explanation:

Hello, it means that the number is

57 * 37 + 29 = 2138

Thank you

3 friends Mary, Peter, John have 10 flowers. Mary has the most flowers, Peter has the least. Know that the number of John's flowers is double Peter's . How many flowers that Peter, John and Mary got? (Detail Solution pls) Thanks

Answers

Answer:

Mary has 7 flowers

Peter has 1 flower

John has 2 flowers

Step-by-step explanation:

M + P + J = 10

J = 2P

M + P + 2P = 10

M + 3P = 10

P = 1

M + 3 = 10

M = 7

The sum of 3 consecutive odd numbers is 183. What is the second number in this sequence?

Answers

Answer:

61

Step-by-step explanation:

x+x+1+x+2 = 183

3x+3 = 183

3x = 180

x = 60

Second number = x+1 = 61

What is negative sqrt 64?

Answers

Answer:

8i. In real numbers only, this isnt possible, but if immagenary numbers are allowed then 8i is your answer          

What is the rule for the transformation from triangle EFG to triangle E'F'G'?

Answers

Answer:

The rule of the transformation is 6 units up and 3 units to the right [tex]T_{(3, \ 6)}[/tex] and an horizontal dilation of 2 as well as a vertical dilation of 4.

Step-by-step explanation:

The given coordinates of EFG and E'F'G' from the chart are;

E(3, 2)

F(9, 5)

G(9, 2)

E'(6, 8)

F'(18, 20)

G'(18, 8)

Therefore, we have, given that the y-coordinates of E and G are the same, the length of segment EG = 9 - 3 = 6 units

Similarly, given that the x-coordinates of F and G are the same, the length of segment FG = 5 - 2 = 3 units

The length of segment FE =  [tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex] which gives;

Length from E(3, 2) to F(9, 5) = [tex]l = \sqrt{\left (5-2 \right )^{2}+\left (9-3 \right )^{2}} = 3 \cdot \sqrt{5}[/tex]

For similarly oriented E'F'G', we have;

E'G' = 18 - 6 = 12

F'G' = 20 - 8 = 12

E'F' = 12·√2

Therefore, the transformation is 6 units up and 3 units to the right and an horizontal dilation of 2 as well as a vertical dilation of 4.

The product of 2 rational numbers is -16/9 . If one of the numbers is -4/3 find the other plz fast

Answers

Answer:

4/3

Step-by-step explanation:

let the other number be x.

-4/3 x=-16/9

x=-16/9×-3/4=4/3

Which Mean Absolute Deviation represents more consistency? 15.2 or 10.9

Answers

Answer:

10.9

Step-by-step Explanation:

The Mean Absolute Deviation of a given data set tells us how far apart, on average, each data value is to the mean of the data set.

The smaller the Mean Absolute Deviation of a given data set is, the closer each data value is to the mean. This also implies less variability of the data set.

Invariably, the smaller the M.A.D, which connotes less variability, the more consistent the data set is.

Therefore, a M.A.D of 10.9 represents more consistency than a M.A.D of 15.2

A blue print for a house has a scale of 1:10. A wall in the blueprint is 8in. What is the length of the actual wall?

6.67. inches
80 feet
969 feet
6.67 feet

Answers

Answer:

80 feet

Step-by-step explanation:

1 inch represents 10 feet

Then 8 inches represent = 8 × 10

= 80 feet

Each serving of a pancake recipe calls for 1/4 cup of flour. How many servings can be made with 2 cups of flour?

Answers

Answer:

The correct answer is 8 servings of pancakes.

Step-by-step explanation:

If each serving of pancakes calls for 1/4 cup of flour, to find how many servings can be made with 2 cups of flour, we should divide 2 cups by 1/4 cup.

To do this, we can first convert 1/4 to a decimal by dividing the numerator by the denominator.  

1/4 = 0.25

Next, we can go ahead with the division.

2 / 0.25 = 8

Therefore, 8 servings of pancakes can be made with 2 cups of flour.

Hope this helps!

25. Solve for x.
[tex] \frac{x}{20} = \frac{1}{5} [/tex]
HELP as fast as you can if possible plz. thank you.​

Answers

Answer:

x = 4

Step-by-step explanation:

x * 5 = 20 * 1

x = 4

Answer:

[tex]\boxed{x=4}[/tex]

Step-by-step explanation:

Hey there!

Well to solve for x we need to cross multiply,

x/20 = 1/5

5x = 20

Divide both sides by 5

x = 4

Hope this helps :)

Suppose the population of a country is 100 people: 40 work full-time, 20 work half-time but would prefer to work full-time, 10 are looking for a job, 10 would like to work but are so discouraged they have given up looking, 10 are not interested in working because they are full-time students, and 10 are retired. What is the number of unemployed

Answers

Answer:

10

Step-by-step explanation:

Those people who are actively seeking for a job are counted as unemployed. Underemployment is not considered as unemployment. Those who have given up looking for jobs are also not considered as unemployed as well. Hence there are 10 unemployed people.

Determine what type of model best fits the given situation: The height of a tree increases by 2.5 feet each growing season.

Answers

Answer: Linear model

The fact the height increases the same amount each time indicates we have a linear model. The slope is the rate of growth, so it is 2.5 feet per season.

Keep in mind that the linear model only works for a specific interval and doesn't work forever (the tree can't grow forever and at the same rate). A more realistic scenario is that the tree's height grows quickly at first and then slows down over time. For this type of scenario we would use a logarithmic model.

The linear model best fits the given situation option (B) linear is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

The height of a tree increases by 2.5 feet each growing season.

Let h is the height and s be the number of seasons.

The relation between h and s:

h = 2.5s

Thus, the linear model best fits the given situation option (B) linear is correct.

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I need help factoring this question, Factor 4(20) + 84.

Answers

Answer:

164

Step-by-step explanation:

B for brackets

O for of

D for division

M for multiplication

A for addition

S for subtraction

You first start with the brackets (20) and multiply with 4 which is equal to 80 and then add it to 84 which makes 164

I hope this helps

please help on 30–31

Answers

Step-by-step explanation:

30-option c

because only crows r black in appearance

31-option d

thats the option which represents the question asked

Given: x - 7 > -2.



Choose the solution set.

A{x | x R, x > 14}
B{x | x R, x > -5}
C{x | x R, x > 5}
D{x | x R, x > -9}

Answers

Answer:

x > 5 (Choice C)

Step-by-step explanation:

x - 7 > -2

add 7 on both sides

x > 5

Answer:

x > 5 (Choice C)

Step-by-step explanation:

x - 7 > -2

add 7 on both sides

x > 5

How do I even start this? And how to i order the equation to solve

Answers

[tex]f(g(h(x)))=f(g(\sqrt x))=f(\sqrt x-1)=\boxed{(\sqrt x-1)^4+4}[/tex]

This is because

[tex]h(x)=\sqrt x[/tex]

[tex]g(x)=x-1[/tex]

[tex]\implies g(h(x))=\sqrt x-1[/tex]

(that is, replace any instance of x in the definition of g with √x )

and

[tex]f(x)=x^4+4[/tex]

[tex]\implies f(\sqrt x-1)=(\sqrt x-1)^4+4[/tex]

(replace any x in f with √x - 1)

Also acceptable:

[tex](\sqrt x-1)^4+4=((\sqrt x)^4-4(\sqrt x)^3+6(\sqrt x)^2-4\sqrt x+1)+4[/tex]

[tex]=\boxed{x^2-4x\sqrt x+6x-4\sqrt x+5}[/tex]

(assuming x is not negative)

What is the value of x in the equation 3x-4y=65, when y=4?
x=13 1/4
x=21 2/3
x =23
x = 27

Answers

Hello there! :)

Answer:

[tex]\huge\boxed{x = 27}[/tex]

Given the equation:

3x - 4y = 65 where y = 4

Substitute in 4 for "y":

3x - 4(4) = 65

Simplify:

3x - 16 = 65

Add 16 to both sides:

3x - 16 + 16 = 65 + 16

3x = 81

Divide both sides by 3:

3x/3 = 81/3

x = 27.

Answer: x = 27

Explanation:

3x - 4y = 65
3x - 4(4) = 65
3x - 16 = 65
3x = 65 + 16
3x = 81
x = 81/3
x = 27

FWML is a parallelogram. Find the values of x and y. Solve for the value of z, if z=x−y.

Answers

Answer:

x = 5, y = 8, z = -3

Step-by-step explanation:

Opposite sides of a parallelogram are congruent so to find x:

x + 7 = 3x - 3

-2x = -10

x = 5

To find y:

y + 2 = 2y - 6

-y = -8

y = 8

Therefore, z = x - y = 5 - 8 = -3.

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