Answer:
(m + 30) / [(m - 4)(m + 3)(m - 3)].
Step-by-step explanation:
m+30/m^2 -16 / m^2 -9/m+4.
m+30/m^2 -16
= m + 30
----------
(m - 4)(m + 4)
m^2 -9/m+4
= (m + 3)(m - 3)
--------------------
m + 4
So m+30/m^2 -16 / m^2 -9/m+4
= (m + 30/ m^2 - 16 * m + 4 / m^2 - 9
= m + 30 m + 4
---------- * ------------
(m - 4)(m + 4) (m + 3)m - 3)
= (m + 30)
--------------------- (answer).
(m - 4)(m + 3)(m - 3)
This indicates that her graph will be abut the average rainfall in Seattle.
37.5 hours a week divided by the 5 days =7.5 hours a day
$15.75 per hour multiplied by 7.5 hours per day=$118.125
Answer:
Option 1:
He starts with $10, and for each week, we add $100
Then his balance as a function of weeks will be:
f(w) = $10 + $100*w
option 2.
Again, we start with $10, and for each week that passes this is doubled, then the equation will be:
g(w) = $10*(2)^w
Now, we want in week w = 7 to have at least $700, then we need to replace w by 7 in both equations and see which one is better.
option 1:
f(7) = $10 + $100*7 = $710
With option 1 he will have enough
option 2:
g(7) = $10*(2)^7 = $1280
Again, he will have more than $700 in week 7, and we can clearly see that this option is better.