Answer:
x = 2
Step-by-step explanation:
If a line is parallel to a side of a triangle and it intersects the other 2 sides then it divides those sides proportionally, that is
=
=
= 2 ( multiply both sides by x + 5 )
6x + 2 = 2(x + 5)
6x + 2 = 2x + 10 ( subtract 2x from both sides )
4x + 2 = 10 ( subtract 2 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
Note: The percent sign is already taken care of.
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Explanation:
The continuously compounded interest formula is
where,
Since the unknown variable r is in the exponent, we'll need logs to solve it. A handy phrase is "if the exponent is in the trees, log it down to find it". By "log it down" I mean in terms of lumber, and not a journal.
We could use any base logarithm, but it's handy to use the special base 'e' log. This is the natural logarithm abbreviated as Ln.
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Solving for r involves these steps
Move the decimal over 2 spots to the right to convert 0.0293 to 2.93%
This is the same as multiplying by 100.