Answer: -7/5
Step-by-step explanation:
-4(1/5)⋅(1/3)
Convert -4(1/5) to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
− (4 +1/5) ⋅(1/3)
Add 4 and 1/5
-21/5 ⋅ 1/3
Cancel the common factor of 3.
Move the leading negative in − 21
/5 into the numerator.
−21/5 ⋅ 1/3
Factor 3 out of −21.
3 (−7)/5 ⋅ 3
/1
Cancel the common factor.
Rewrite the expression.
−7
/5
Answer:
36/360 0.1 10/100 10%
Step-by-step explanation:
This is exponential growth/decay function, in this case decay, of the form:
f=ir^t, f=final value, i=initial value, r=common ratio or "rate", and t=times rate is applied or "time".
In this case i=2100 and r=(100-14)/100=0.86 so the equation is:
f=2100(0.86^t) and in five years...
f(5)=2100(0.86^5)
f(5)≈$987.90 (to nearest whole cent)
A picture of graph of g(x) = (1/5x)^2 .
If you have learned how to find the line of best fit manually, then you can do it that way. Perhaps you may want to just find a line that can connect at least two of the points and I believe that that line will be able to represent the other points because, in general, the points are pretty close to one another.
If you don't want to do it manually and have a graphing calculator (which I recommend) then you can use that to find the line of best fit (and if you want then you can see how precise your points are with your r^2 value). Or there is a website (http://illuminations.nctm.org/Activity.aspx?id=4186), which you can use to help you to find the equation of that particular line.
Once you have that done, then you can substitute 2009 for the x value in the equation and then see what y value the equation produces. That will then be your answer :)