Answer:
0 (None) solutions
Step-by-step explanation:
This Linear System has no Solution. It means that mathematically speaking, whatever value inserted for x, or y this will not result in an equality, i.e. we'll always have a false value. Like this:
FALSE Because then This Linear System does not have solution.
Geometrically, both equations are parallel lines, so they do not have any common point, i.e. solution. Notice they both have the same slope. Check the graph below.
Answer: B.
Step-by-step explanation:
The formula to find the compound amount (compounded yearly):-
, where P is the principal amount invested, is the rate of interest and t is time period.
As per given , we have
P=$5500 , r=5% = 0.05 and A = $7,739.05.
Substitute all the values in the formula , we get
Hence, the equation describes Meredith's investment based on t, the number of years she kept the account open :
Answer:
5 more than 30 trees should be planted, for a total of 40 trees per acre.
Step-by-step explanation:
Let x be the number of trees beyond 30 that are planted on the acre
The number of oranges produced = Oranges(x) = (number of trees) (yield per tree)
We are given that For each additional tree in the acre, the yield is reduced by 7 oranges per tree
So, number of oranges produced =
=
=
The derivative Oranges'(x) = 100-20x
Substitute first derivative equals to 0
Using the second derivative test,
Oranges"(x) = -20
20 is negative,
So, this is the case of maximum.
Thus, 5 more than 30 trees should be planted, for a total of 40 trees per acre.