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Ainat [17]
3 years ago
6

Mr. Sim invest $9000 at 1% per annum compound interest compounded daily. What is his amount at the end of the third day?

Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0

Answer:

The amount at the end of the third day is $9,000.74

Step-by-step explanation:

To calculate his amount, we shall be using the compound interest formula;

Mathematically;

A = I( 1 + r)^nt

where A is the amount which we want to calculate

I is the initial amount deposited = $9,000

r is the interest rate = 1% = 1/100 = 0.01

the daily interest will be 0.01/365 = 0.00002739726

nt is the number of times we shall be compounding = 3 times

Substituting these values;

A = 9,000(1 + 0.00002739726)^3

A = 9,000(1.00002739726)^3

A = 9,000.73974628665

which is approximately; 9,000.74

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You'll want to make a common denominator with 6 and 8.
That denominator would be 24.
24/6=4 so you would have to multiply 5/6 by 4/4 to get 20/24.
Next, 24/8=3 so 1/8 could be multiplied by 3/3 to get 3/24.
Since 3 is less than 20, 1/8 is smaller than 5/6.

If you want the same numerator, 5/8 = 15/24. This would make 5/8 smaller than 5/6 as well.
The highest eighth you can go is 6/8 which is 18/24.
So you can use any numerator between 1 and 6 with a denominator of 8 to get a fraction smaller than 5/6.
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From the question, we can see that the first event is she picked one marble from the bag. The second event is she replaced the marble before picking another marble. By doing this, the total number of possible outcomes for the probabilities of both events remains the same and they are unaffected.

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