All categories

1 year ago

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

1 answer:

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

You might be interested in

What is the answer to 1/9 + 3/5

hjlf

32/45 is the answer I believe

3 0

3 years ago

Read 2 more answers

(d) A car travels at an average speed of 80 km/h. How far does it travel in: (1) 2 hours? (11) 12 minutes?

zepelin [54]

Answer is (1) 160 km in 2 hours and
(2) 16 miles in 12 minutes.

Step by step.
80 km / 1 hour = x km /2 hours
Cross multiply =
x = 160

The second one requires a little more math. Because we are looking at how far in minutes, we change the rate of 80km in 1 hour to 80 km in 60 minutes.
80 km / 60 = x / 12
Cross multiply
12x = 960
Solve for x by dividing both sides by 12
X = 16

I did the math on a print screen to explain the cross multiply.

3 0

1 year ago

354 by rounding to the nearest hundred.

lara [203]

Answer:

400

Step-by-step explanation:

354>=350 and thus is rounded upwards to 400.

4 0

3 years ago

Read 2 more answers

A triangle has side lengths of 34 in., 20 in., and 47 in. Classify it as acute, obtuse, or right.

Anestetic [448]

34^2 + 20^2 = 1156 + 400 = 1556

47^2 = 2209

because the squares of the 2 smaller sides is less than the square of the longer side the triangle is Obtuse

3 0

3 years ago

A food packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. The graph below shows the height

melisa1 [442]

General Idea:

Domain of a function means the values of x which will give a DEFINED output for the function.

Applying the concept:

Given that the x represent the time in seconds, f(x) represent the height of food packet.

Time cannot be a negative value, so

$x\geq 0$

The height of the food packet cannot be a negative value, so

$f(x)\geq 0$

We need to replace $-15x^2+6000$ for f(x) in the above inequality to find the domain.

$-15x^2+6000\geq 0 \; \; [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0$

The possible solutions of the above inequality are given by the intervals $(-\infty , -2], [-2,2], [2,\infty )$ . We need to pick test point from each possible solution interval and check whether that test point make the inequality $(x+200)(x-200)\leq 0$ true. Only the test point from the solution interval [-200, 200] make the inequality true.

The values of x which will make the above inequality TRUE is $-200\leq x\leq 200$

But we already know x should be positive, because time cannot be negative.

Conclusion:

Domain of the given function is $0\leq x\leq 200$

4 0

3 years ago

Read 2 more answers

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

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