The discriminant of a quadratic equation is 40. What is the nature of solutions?
1 answer:
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The correct formula for this is as follows:
where n is the number of compounding periods per year, and r is the annual interest rate as a decimal,
Plugging the given values into the formula, we get:
This equation can be simplified to:
Taking logs of both sides gives:
which can be rearranged to get:
So it will take about 5.864 years for the amount to reach $4550.
where n is the number of compounding periods per year, and r is the annual interest rate as a decimal,
Plugging the given values into the formula, we get:
This equation can be simplified to:
Taking logs of both sides gives:
which can be rearranged to get:
So it will take about 5.864 years for the amount to reach $4550.
Since 
, you have
and since
is odd, i.e. 
, you have
and since
Answer:
a.
b.
Step-by-step explanation:
a. The sides of an Equilateral triangle are all equal.
Then, in this case:
Based on this, you can identify that AD divides the side BC into two equal parts and the triangle into two equal Right triangles. Then:
Knowing the length CD, you can find "x" using the Pythagorean Theorem. This is:
Where "a" is the hypotenuse and "b" and "c" are the legs.
In this case:
Substituting values and solving for "x", you get:
b. By definition, the measure of each interior angle of an Equilateral triangle is 60 degrees. Therefore: