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tino4ka555 [31]
3 years ago
9

At 10 percent interest, how long does it take to quadruple your money?

Mathematics
1 answer:
horsena [70]3 years ago
7 0

It takes about 14.55 years for quadruple your money

<em><u>Solution:</u></em>

Given that,

At 10 percent interest, how long does it take to quadruple your money

Rule of 144:

The Rule of 144 will tell you how long it will take an investment to quadruple

Here,

Rate of interest = 10 %

Therefore, number of years to quadruple your money is obtained by dividing 144 by 10

<em><u>Rule of 144 Formula: </u></em>

N = \frac{144}{R}

Where:

N = Number of many years times.

144 = Is the constant variable.

R = Rate of interest.

\rightarrow N =  \frac{144}{10} = 14.4

Thus it takes about 14.4 years for quadruple your money.

<em><u>Another method:</u></em>

If initial amount is $ 1 and it if quadruples it should be $ 4

We have to find the number of years if rate of interest is 10 %

Let "n" be the number of years

Then we can say,

Amount = Principal(1+\frac{R}{100})^n

4 = 1(1+\frac{10}{100})^n

4 = 1(1+0.1)^n\\\\4= 1(1.1)^n\\\\4 = 1.1^n\\\\We\ know\ that,\\\\(1.1)^{14.55} = 1.1^n\\\\We\ know\ that\\\\If\ a^m = a^n\ then\ m = n\\\\Therefore,\\\\14.55 = n\\\\n = 14.55

Thus Option D 14.55 years is correct

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-3q + 12 greater than equal too 4q - 30 solve for q
valentina_108 [34]

Solving the inequality -3q+12\geq 4q-30 the value of q is q\leq 6

Step-by-step explanation:

We need to solve the inequality: -3q+12\geq 4q-30 and find value of q

Solving:

-3q+12\geq 4q-30\\Adding\,\,-12\,\,on\,\,both\,\,sides:\\-3q+12-12\geq 4q-30-12\\-3q\geq 4q-42\\Adding\,\,-4q\,\,on\,\,both\,\,sides:\\-3q-4q\geq 4q-42-4q\\-7q\geq -42\\Divide\,\,both\,\,sides\,\,by\,\,7\\\frac{-7q}{7}\geq \frac{-42}{7}\\ -q\geq -6\\Multiply\,\,both\,\,sides\,\,by\,\,-1\,\,and\,\,reverse\,\,the\,\,inequality:\\q\leq 6

So, solving the inequality -3q+12\geq 4q-30 the value of q is q\leq 6

Keywords: Solving inequality

Learn more about solving inequality at:

  • brainly.com/question/7490805
  • brainly.com/question/9590016
  • brainly.com/question/2840217

#learnwithBrainly

6 0
3 years ago
The scores of eighth-grade students in a math test are normally distributed with a mean of 57.5 and a standard deviation of 6.5.
Firlakuza [10]
Approximately 68% of a normal distribution lies within one standard deviation of the mean, so this corresponds to students with scores between (57.5-6.5,57.5+6.5)=(51,64).
5 0
3 years ago
Read 2 more answers
I’ll give brainlest so pls help ;-;
natali 33 [55]

Answer:

-3

Step-by-step explanation:

1+-3= -2

5-4= 1

-2+1= -3 i think

3 0
2 years ago
Read 2 more answers
Please help me with this
Sati [7]

Answer:

x = \sqrt{11.4^2+2.6^2}\\\\

Rounded to the nearest hundredths: 11.69.

Step-by-step explanation:

I would use the Pythagorean theorem for this problem.

The difference between the highest point and the lowest point of AD is 9.8-7.2 = 2.6, so that would be the height of the triangle. The length/base of the triangle would be 11.4.

Now, just solve using Pythagorean's theorem:

x = \sqrt{11.4^2+2.6^2}\\\\

Rounded to the nearest hundredths: 11.69.

I hope this helped you.

5 0
3 years ago
Solve for x. 0.2x – 1.8 5 = 4.2​
spin [16.1K]

Answer:

<h2>x = 114</h2>

Step-by-step explanation:

0.2x – 1.8/5 = 4.2​

0.2x - 1.8 = 4.2 (5)

x =<u> 21 + 1.8 </u>

        0.2

x = 22.8 / 0.2

x = 114

4 0
3 years ago
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