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erica [24]
2 years ago
14

A man invested R30 000 at 10% how long did it take for him to get R50 000​

Mathematics
1 answer:
Licemer1 [7]2 years ago
6 0

The time it takes for a man to get Rs 50,000 is 5 years and 4 months i.e., t = 5.36 years. Using the compound interest formula the required value is calculated.

<h3>What is the formula for calculating compound interest?</h3>

The formula for calculating the compound interest is

A = P(1 + r)^t

Where

A = total amount at the end of the tenure

P = Initial amount

r = Interest rate

t = time(years)

<h3>Calculation:</h3>

It is given that,

A man invested Rs 30,000; the rate of interest r = 10% and he gets a total amount of Rs 50,000 after some time 't'.

Then,

A = P(1 + r)^t

⇒ 50000 = 30000(1 + 0.1)^t

⇒ (1.1)^t = 50000/30000

⇒ (1.1)^t = 5/3 =1.67

Applying logarithm on both sides,

log(1.1)^t = log(1.67)

⇒ t (log(1.1) = log(1.67)

⇒ t = log(1.67)/log(1.1)

∴  t = 5.38 years

Therefore, it takes 5 years and 4 months to get the amount of Rs 50,000 for the initial investment of Rs 30,000.

Learn more about the compound interest here:

brainly.com/question/24924853

#SPJ9

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AlladinOne [14]
Answer: 78 pounds
Explanation: if 1 kilogram is 2.2 pounds, just multiply the weight in kg by 2.2:
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Ted and Jude are each saving money each month. After x months, the amount of money, in dollars, that Ted has saved is represente
Nadusha1986 [10]

Answer:

True Statements are -

B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.

D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.

Step-by-step explanation:

Given - Ted and Jude are each saving money each month. After x months, the amount of money, in dollars, that Ted has saved is represented by the

equation T = 40x, and the amount of money that Jude has saved is represented by the equation J = 60x.

To find - Choose all of the statements that are true.

A. Each month, Jude saves two-thirds as much money as Ted saves.

B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.

C. The amount of money Jude saves each month is $20 more than the amount Ted saves each month.

D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.

Proof -

Given that,

After x months,

Ted saved the amount of money, T(x) = 40x

Jude saved the amount of money, J(x) = 60x

Now,

In 1 month,

Ted saved money, T(1) = 40(1) = 40

Jude saved money, J(1) = 60(1) = 60

So,

In 1st month, Jude saved money 20 more than Ted saved.

Now,

In 2 month,

Ted saved money, T(2) = 40(2) = 80

Jude saved money, J(2) = 60(2) = 120

So,

In 2nd month, Jude saved money 40 more than Ted saved.

Now,

In 3 month,

Ted saved money, T(3) = 40(3) = 120

Jude saved money, J(3) = 60(3) = 180

So,

In 3rd month, Jude saved money 60 more than Ted saved.

So,

Option C is incorrect

Because

In 1st month, Jude saves  is $20 more than the amount Ted saves

In 2nd month, Jude saves  is $40 more than the amount Ted saves

Now,

In 1st month,

Ted saves = 40

and

\frac{2}{3}(40) = 26.67

So, Jude will save = 40 + 26.67 = 66.67

But Jude saves 60

So,

Option A is incorrect.

i.e. A. Each month, Jude saves two-thirds as much money as Ted saves.

Now,

We can see that,

In 3 months, Ted will have saved the money = 120

In 2 months, Jude will have saved the money = 120

So,

Option B is correct.

i.e. B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.

Also,

We can see that

In 1st month, Jude saved money 20 more than Ted saved.

In 2nd month, Jude saved money 40 more than Ted saved.

In 3rd month, Jude saved money 60 more than Ted saved.

So,

Option D is correct.

i.e. D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.

∴ we get

True Statements are -

B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.

D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.

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The following information is obtained from two independent samples selected from two normally distributed populations.
AysviL [449]

A. The point estimate of μ1 − μ2 is calculated using the value of x1 - x2, therefore:

μ1 − μ2 = x1 – x2 = 7.82 – 5.99

μ1 − μ2 = 1.83

 

B. The formula for confidence interval is given as:

Confidence interval = (x1 –x2) ± z σ

where z is a value taken from the standard distribution tables at 99% confidence interval, z = 2.58

and σ is calculated using the formula:

σ = sqrt [(σ1^2 / n1) + (σ2^2 / n2)]

σ = sqrt [(2.35^2 / 18) + (3.17^2 / 15)]

σ = 0.988297

 

Going back to the confidence interval:

Confidence interval = 1.83 ± (2.58) (0.988297)

Confidence interval = 1.83 ± 2.55

Confidence interval = -0.72, 4.38

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3 years ago
(4x3y3)3<br>me pueden ayudar​
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Answer:

12x9y9

Step-by-step explanation:

( 4x3y3 ) 3

= 4x ⋅ 3 ⋅ 3y ⋅ 3 ⋅ 3 ⋅ 3

= 12x9y9

7 0
3 years ago
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