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dangina [55]
4 years ago
12

If the simple interest rate is 5%p.a. , how long does it take for the amount to become twice the principal

Mathematics
1 answer:
solong [7]4 years ago
3 0
A = P + I
2a = a + PTR/100
2a = a + 5aT/100
2a = a(1+T/20)
2=1+T/20
T=20 yrs

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

Given system of equations are:

-1x + 2y = -4  -------- eqn 1

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We can solve the above system of equations by elimination method

<em><u>Multiply eqn 1 by 4</u></em>

4(-1x + 2y = -4)

-4x + 8y = -16  ------ eqn 3

<em><u>Add eqn 2 and eqn 3</u></em>

4x + 3y = 5

-4x + 8y = -16

( + ) --------------------

0x + 11y = -16 + 5

11y = -11

y = -1

<em><u>Substitute y = -1 in eqn 1</u></em>

-1x + 2(-1) = -4

-x -2 = -4

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-x = -2

x = 2

<em><u>Check the answer:</u></em>

Substitute x = 2 and y = -1 in eqn 2

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8 - 3 = 5

5 = 5

Thus the obtained answer is correct

Thus the solution to given system of equations is (x, y) = (2, -1)

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