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adelina 88 [10]
3 years ago
12

1.Find the compound interest on Rs25000 for 3 years at 10% per annum ,Compounded annually.

Mathematics
1 answer:
LekaFEV [45]3 years ago
6 0

Answer:

The compound interest is Rs8275

Step-by-step explanation:

The rule of the compound interest is A = P(1+\frac{r}{n})^{nr}, where

  • A is the new amount
  • P is the initial amount
  • r is the interest rate in decimal
  • n is the number of periods
  • t is the time

The interest I = A - P

∵ The amount of investment is Rs25000 for 3 years

∴ P = 25000

∴ t = 3

∵ The rate of interest is 10% per annum, compounded annually

∴ r = 10% = 10 ÷ 100 = 0.1

∴ n = 1 ⇒ compounded annually

→ Substitute these value in the 1st rule above to find the new amount

∵ A = 25000(1+\frac{0.1}{1})^{1(3)}

∴ A = 25000(1.1)^{3}

∴ A = Rs33275

→ Use the 2nd rule above to find the interest

∵ I = 33275 - 25000

∴ I = 8275

∴ The compound interest is Rs8275

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Proof:

Consider \triangle WXZ, \triangle YZX:

\overline W\overline X = \overline Y\overline Z (given)

\angle WXZ = \angle YZX (alternate angles are equal, \overline W\overline X\parallel \overline Y\overline Z)

\overline Z \overline X is a common side

∴ \triangle WXZ \cong \triangle YZX (SAS)

Hope this helps :)

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3 years ago
If the measure of arc AD = (6x -80)° and &lt;G = (x + 2)°, what is the measure of &lt;G?<br>​
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Step-by-step explanation:

Remember that an inscribed angle is defined as an angle formed by two chords and whose vertex lies on the circle.

By definition, the measure of an inscribed angle is:

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You know that:

Intercepted\ Arc=AD = (6x -80)\\\\Inscribed\ Angle=\angle G=(x + 2)

Then, you need to substitute values and solve for "x":

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Substituting the value of "x" into \angle G=(x + 2)\° you get:

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The answer is number 2.
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