Which value of x makes the inequality true?

Jharana got Rs.1881 interest of certain sum for 2year at 9% compounded yearly.find the sum.

Lana71 [14]

The principal sum is Rs.10,000

Step-by-step explanation:

The formula of compound interest is:

$I=P(1+\frac{r}{n})^{nt}-P$ where:

I is the interest
P is the principal investment amount (the initial deposit or loan amount)
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

Jharana got Rs.1881 interest of certain sum for 2 year at 9%

compounded yearly

∵ I = Rs.1881

∵ r = (9/100) = 0.09

∵ n = 1 ⇒ compounded yearly

∵ t = 2 years

Substitute all of these values in the rule above

∴ $1881=P(1+\frac{0.09}{1})^{(1)(2)}-P$

∴ 1881 = P(1 + 0.09)² - P

∴ 1881 = P(1.09)² - P

∴ 1881 = 1.1881 P - P

∴ 1881 = 0.1881 P

- Divide both sides by 0.1881

∴ P = 10,000

The principal sum is Rs.10,000

Learn more:

You can learn more about the interest in brainly.com/question/11149751

#LearnwithBrainly

3 0

3 years ago

What is 1.024 repeating as a fraction

levacccp [35]

<span>The given number is = 1.024,
this is said to be a repeating decimals. Now, we need to find the fraction equivalent of this repeating decimals.
=> 1.024 = 1 024 / 1 000
=> Since this is an improper fraction, we need to convert it to mixed numbers.
=> 1 024 / 1 000
=> 1 24 / 1 000
Thus, the value OF 1.024 IN FRACTION is 1 24/1 000, where 1 is the whole number and 24/1 000 is the fraction</span>

8 0

4 years ago

The results of a national survey showed that on average, adults sleep 6.7 hours per night. Suppose that the standard deviation i

Roman55 [17]

Answer:

a) Atleast 75%

b) Atleast 88.9%

c) 95%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.7

Standard Deviation, σ = 1.6

Chebyshev's Theorem:

Atleast $1 - \dfrac{1}{k^2}$ percent of data lies within k standard deviation of mean.

Empirical Rule:

Almost all the data lies within 3 standard deviation for a normal data.
Around 68% of data lies within 1 standard deviation of mean.
Around 95% of data lies within 2 standard deviation of mean.
Around 99.7% of data lies within 3 standard deviations o mean.

a) minimum percentage of individuals who sleep between 3.5 and 9.9 hours

$3.5 = \mu - 2\sigma = 6.7 - 2(1.6)\\9.9 = \mu + 2\sigma = 6.7 + 2(1.6)$

We have to find the percent of data lying within 2 standard deviation of mean.

Putting k = 2

$1 - \dfrac{1}{(2)^2} = 0.75 = 75\%$

Atleast 75% of of individuals who sleep between 3.5 and 9.9 hours.

b) minimum percentage of individuals who sleep between 2.7 and 10.7 hours

$2.7 = \mu - 3\sigma = 6.7 - 3(1.6)\\10.7 = \mu + 3\sigma = 6.7 + 3(1.6)$

We have to find the percent of data lying within 3 standard deviation of mean.

Putting k = 3

$1 - \dfrac{1}{(3)^2} = 0.889 = 88.9\%$

Atleast 88.9% of of individuals who sleep between 2.7 and 10.7 hours.

c) percentage of individuals who sleep between 3.5 and 9.9 hours per day.

Thus, we have to find the percentage of data lying within 2 standard deviation.

By empirical rule, around 95% of data lies within 2 standard deviation.

Thus, 95% of of individuals who sleep between 3.5 and 9.9 hours.

This is higher than the percentage obtained from Chebyshev's rule.

4 0

3 years ago

Best answer gets brainliest

tamaranim1 [39]

Answer:

is mine the best answer

Step-by-step explanation:

please say it is

8 0

3 years ago

You draw one card from a standard 52-card deck. Make a table to show the probability distribution for each sample space.{the car

Ivahew [28]

Answer:

Step-by-step explanation:

What is the probability that when two cards are drawn from a deck of cards without

replacement that both of them will be 8’s?

(ℎ 8

′

) = ( 8) ∙ ( 8)

( 8) =

4

52

 There are three 8’s left in the deck if one is pulled and not replaced, and 51 total

cards remaining.

( 8) =

3

51

(ℎ 8

′

) =

4

52 ∙

3

51 =

12

2652 =

1

221 = .0045 .45%

4 0

3 years ago