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3 years ago

3. (a) Calculate the compound interest over an amount of N$ 58 000 that is invested for 6 years at a rate of 5% pa

Mathematics

1 answer:

seropon [69]3 years ago

3 0

Answer:

The final balance is $78,243.04.

<u>The total compound interest is $20,243.04.</u>

Step-by-step explanation:

<u>Year Principal Yearly Interest Total Interest Total Balance</u>

0 58,000 0 0 58,000

1 58,000 2,967.39 2,967.39 60,967.39

2 58,000 3,119.21 6,086.6 64,086.6

3 58,000 3,278.79 9,365.4 67,365.4

4 58,000 3,446.54 12,811.94 70,811.94

5 58,000 3,622.88 16,434.82 74,434.82

6 58,000 3,808.23 20,243.04 78,243.04

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Answer:

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Step-by-step explanation:

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3 years ago

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<h3>What is the Angles Addition Theorem?</h3>

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3 years ago

The sides of a triangle are 1, x, and x2. what are possible values of x?

Whitepunk [10]

The sides of the triangle are given as 1, x, and x².

The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.

Consider 3 cases
Case (a): x < 1,
Then in decreasing size, the lengths are 1, x, and x².
We require that x² + x ≥ 1
Solve x² + x - 1 =
x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
Reject the negative length.
Therefore, the lengths are 0.382, 0.618 and 1.

Case (b): x = 1
This creates an equilateral triangle with equal sides
The sides are 1, 1 and 1.

Case (c): x>1
In increasing order, the lengths are 1, x, and x².
We require that x + 1 ≥ x²
Solve x² - x - 1 = 0
x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
Reject the negative answr.
The lengths are 1, 1.618 and 2.618.

Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.

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3 years ago

3. (a) Calculate the compound interest over an amount of N$ 58 000 that is invested for 6 years at a rate of 5% pa​

3. (a) Calculate the compound interest over an amount of N$ 58 000 that is invested for 6 years at a rate of 5% pa