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1 answer:
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Answer:
Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.
As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.
Therefore, -28 is greater than -162.
Step-by-step explanation:
To determine:
Is -28 greater than or less than -162?
Solution Steps:
- In mathematics, a number line is considered to be a straight line with numbers placed at equal intervals along its length.
- A number line could be extended infinitely in any direction i..e -∞ to +∞.
- A number is usually represented horizontally.
Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.
As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.
Therefore, -28 is greater than -162.
In other words,
Keywords: number line, less than, greater than
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Answer:
11.1 years
Step-by-step explanation:
The formula for interest compounding continuously is:
Where A(t) is the amount after the compounding, P is the initial deposit, r is the interest rate in decimal form, and t is the time in years. Filling in what we have looks like this:
We will simplify this first a bit by dividing 2000 by 1150 to get
To get that t out the exponential position it is currently in we have to take the natural log of both sides. Since a natural log has a base of e, taking the natual log of e cancels both of them out. They "undo" each other, for lack of a better way to explain it. That leaves us with
ln(1.739130435)=.05t
Taking the natural log of that decimal on our calculator gives us
.5533852383=.05t
Now divide both sides by .05 to get t = 11.06770477 which rounds to 11.1 years.