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12345 [234]
3 years ago
14

Calculate the amount and compound interest on Rs 5000 compounded annually or 2 years 6 months at the rate of 10% per annum.

Mathematics
1 answer:
cluponka [151]3 years ago
7 0

Answer:

Amount

Rs 6345.30

Compound interest

Rs 1,345.30

Step-by-step explanation:

Here in this question, we are interested in calculating the amount and the compound interest on the value given.

To calculate the amount, we use the formula below;

A = P(1 + r/n)^nt

Where; A is the amount which we want to calculate

P is the principal which is Rs 5,000

r is the interest rate per annum = 10% = 10/100 = 0.1

n is the number of times per year in which it is compounded ( since it is annually, then it is 1)

t is the number of years which is 2.5 years( kindly know that 6 months is same 1/2 year , so 6 months is same as 0.5, and thus 2 years 6 months becomes 2.5 years)

now let’s substitute all these values;

A = 5000(1 + 0.1/1)^(1*2.5)

A = 5000(1 + 0.1)^2.5

A = 5000(1.1)^2.5

A = 6,345.2935314294

This is approximately Rs 6,345.30

The second part of the question asks to calculate compound interest

Mathematically ;compound interest = Amount - principal

= 6345.3 - 5000 = Rs 1,345.30

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It is known that 10% of the 9-year old children in a town have three siblings. Fifteen 9-year old children are selected at rando
inn [45]

Using the binomial distribution, it is found that there is a 0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem, for the parameters, we consider that:

  • 10% of the 9-year old children in a town have three siblings, hence p = 0.1.
  • Fifteen 9-year old children are selected at random, hence n = 15.

The probability that more than 3 of these selected children have three siblings is given by:

P(X > 3) = 1 - P(X \leq 3)

In which:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Then:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059

P(X = 1) = C_{15,1}.(0.1)^{1}.(0.9)^{14} = 0.3432

P(X = 2) = C_{15,2}.(0.1)^{2}.(0.9)^{13} = 0.2669

P(X = 3) = C_{15,3}.(0.1)^{3}.(0.9)^{12} = 0.1285

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.2059 + 0.3432 + 0.2669 + 0.1285 = 0.9445

P(X > 3) = 1 - 0.9445 = 0.0555

0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.

More can be learned about the binomial distribution at brainly.com/question/24863377

5 0
1 year ago
Can someone plz help me
Goshia [24]

Answer:

Your table might look something like this:

The dads steps:

3

6

9

12

15

18

Sons steps:

5

10

15

20

25

30

You can notice the pattern. If dad walks 3 steps, son walks 5. If dad walks another 3, son walks another 5. And so on. This means dad walks 12 steps when the sin walks 20 steps.

Step-by-step explanation:

The ratio is 3:5. This means dad wlaks 3 steps so son must walk 5 steps basically. So.......... You can now create the table. Y I just have to multiply or divide each side ( of the colon:) so. Whatever you do to one side, you do to the other side. If you x3 on one side, you do it to other. Same goes for division. In the 'table' I did above, I x2 to get 6 and 10. Then I took the 3 and the 5 again and timsed those by 3. You can also change the 6 and the 10. So:

3:5

Then x2

6:10

Then I take the top layer (you can either choose to change the top layer, or layer above as long as you do the same thing to each side. Remember, only x and ÷. No + or-.) and I x3

9:15

Then I could take 9 and 15 and x5

45:75

It's crazy that all these. Ratios mena the same thing! 45 steps from dad would take the son 75 steps. You can also divide the last ratio of 45:75 to find the one you started with, 3:5.

So you get the idea.

It is probably best to do what I did in the table in the answer part because I did a pattern. Take the top layer, and x2, then x3, then x4, ect. Rather then doing random things.

5 0
3 years ago
How do we calculate the rate of change for a given domain
SashulF [63]

Answer:The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Slope and rate of changes describe the same value true or false​
Anit [1.1K]

Answer:

True

Step-by-step explanation:

“Rate of change” means the same as “slope.” If you are asked to find the rate of change, use the slope formula or make a slope triangle.

8 0
3 years ago
Suppose that a certain college class contains students. Of these, are juniors, are mathematics majors, and are neither. A studen
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Answer:

<h2>2/5</h2>

Step-by-step explanation:

The question is not correctly outlined, here is the correct question

<em>"Suppose that a certain college class contains 35 students. of these, 17 are juniors, 20 are mathematics majors, and 12 are neither. a student is selected at random from the class. (a) what is the probability that the student is both a junior and a mathematics majors?"</em>

Given data

Total students in class= 35 students

Suppose M is the set of juniors and N is the set of mathematics majors. There are 35 students in all, but 12 of them don't belong to either set, so

|M ∪ N|= 35-12= 23

|M∩N|=  |M|+N- |MUN|= 17+20-23

           =37-23=14

So the probability that a random student is both a junior and social science major is

=P(M∩N)= 14/35

=2/5

7 0
2 years ago
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