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Answers by Oren S.

A: population, in millions e: Euler's number k: exponential rate of increase t: number of years after 1982   Putting the numbers into the equation, you get:   29=24e^(15k)   Divide both sides by 24 and take the natural logarithm of both sides:   ln(29/24)=15k   Then...

When working on a ratio problem like this, the only thing that is important is the relationship between the numbers.  In this case, it is easy to see that five is twice as large as five halves.  Thus, the answer is two to one.

One centimeter and one decimeter are both units on the metric scale.  Since the metric scale uses SI prefixes, it is very easy to compare units.   1 kilometer=10 hectometers 1 hectometer=10 decameters 1 decameter=10 meters 1 meter=10 decimeters 1 decimeter=10 centimeters 1...

There are three envelopes which each have independent choices between three options.  Thus, there are a total of 3*3*3=27 different ways the money can be configured.   Of those 27 ways, four of them add up to exactly $60:   1.  $5+$5+$50 2.  $5+$50+$5 3...

d+ 2d - 8 = 0 (answer)

As has been noted above, the problem can be solved both factoring and the quadratic formula.  If you can't factor or remember the formula, you can also solve it using a process called completing the square. First, divide the equation through by a, and subtract c from both sides...

The answer is y=3x+1. There are several ways to find the answer to this question, and a few different formats in which to put the answer.  I prefer slope-intercept form, so I will explain it by that method. y=mx+b m=slope b=y-intercept The y-intercept is the value...

A cube has 8 vertices (corners, points), 12 edges (line segments), and 6 faces (planes).  One formula that works for any solid with flat sides and no holes is vertices+faces-edges=2.