Absolute value hope this helps
The number of doughnuts in bags is 4 times the number of bags of doughnuts. So the number in B bags of doughnuts will be
... 4B
The number of doughnuts in cartons is 10 times the number of cartons of doughnuts, so the number in C cartons will be
... 10C
The total number of doughnuts (T) is the sum of those in bags and those in cartons:
... T = 4B +10C
Answer:
--- (a)
---- (b)
Step-by-step explanation:
Given
Per ride (r) = $8
Per baseballs (s) = $6
Total = $100
Required
Represent using an equation
If 1 ride is $8.
r rides would be 8r
If 1 baseball is $6
s baseballs would be 6r.
So, total is:

Solving (b):
Value of s when r = 14

Substitute 14 for r


Solve for 6s


Solve for s


Answer:
Step-by-step explanation:
Volume of a rectangular prism
V=l*w*h
V=6*3.5*2.5=52.50 ft^3
Answer:

Step-by-step explanation:
The logistic equation is the following one:

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.
In this problem, we have that:
Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that
.
The number of fish tripled in the first year. This means that
.
Using the equation for P(1), that is, P(t) when
, we find the value of r.









Applying ln to both sides.


This means that the expression for the size of the population after t years is:
