Explanation:
One formula for the area of a triangle is ...
Area = (1/2)ab·sin(C)
This presumes you know the measures of two sides and the angle between them. The Law of Sines is typically used where you know all the angles and only one side measure.
You would use the law of sines to find an additional side measure, then make use of the above formula for area.
For this case we have the following table:
x f(x)
<span><span><span>0 2
</span><span>1 5
</span><span>2 10
</span><span>3 17
</span></span></span> The equation that best fits the data in the table, for this case, is given by a quadratic function.
<span><span><span> </span></span></span>The quadratic function in its standard form is:
f (x) = x2 + 2x + 2
Answer:
f (x) = x2 + 2x + 2
Answer:
56, 57, and 58.
Step-by-step explanation:
Answer:
60 ; - 40 ; 22 ; - 11
Step-by-step explanation:
Given that:
Number of questions = 20
Rules :
Every correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0 points.
It is possible to finish the quiz with a negative score.
a)
Maximum score : answering all questions correctly :
(3 points * 20 questions)
= 3 * 20
= 60 points
b)
Minimum score is obtainable by answering all questions incorrectly ;
(-2 points * 20)
= - 40 points
c)
10 correct answers = (3 * 10) = 30 points
(14 - 10) = 4 incorrect answers = (-2 * 4) = - 8 points
Net total = 30 + (-8) = 30 - 8 = 22 points
d) Another student answers 18 questions,
5 are correct. How many points does she score?
5 correct answers = (5 * 3) = 15 points
(18 - 5) incorrect answers = (13 * - 2) = - 26 points
Net total = 15 + (-26) = - 11 points
Answer:
- scientific or graphing calculator
- TVM solver
- spreadsheet
Step-by-step explanation:
For many future-value calculations, a scientific calculator is a sufficient tool. Of course, one must know the appropriate formula to use.
A good alternative when the calculation is a little messy is a TVM solver or special-purpose financial calculator. I prefer this tool because it requires little more than entering numbers in to the right slots.
Most modern spreadsheet programs and apps come with financial formulas built in. So, they, too, can be easy tools to use for calculating future value. These are especially handy when a number of scenarios need to be explored. (I always have to look up the formulas to see which one is appropriate and what its inputs are. So, I find a spreadsheet less useful for a simple calculation.)
