Question 2 of 10
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The expanded form of the number 0.0001 is .
<u>SOLUTION: </u>
Given that, we have to write 0.0001 in expanded form.
Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression.
Now, take the given number 0.0001
As there are no other digits except 0 in front of 1 our work is simplified.
Expanded form will be
Hence, the expanded form of the number 0.0001 is .
It would take 10.7 years.
The formula for continuously compounded interest is:
where P is the principal, r is the interest rate as a decimal number, and t is the number of years.
Using our information we have:
We want to know when it will double the principal; therefore we substitute 2P for A and solve for t:
Divide both sides by P:
Take the natural log, ln, of each side to "undo" e:
Divide both sides by 0.065:
The formula for continuously compounded interest is:
where P is the principal, r is the interest rate as a decimal number, and t is the number of years.
Using our information we have:
We want to know when it will double the principal; therefore we substitute 2P for A and solve for t:
Divide both sides by P:
Take the natural log, ln, of each side to "undo" e:
Divide both sides by 0.065: