Answer:
Part 1) The exponential function is equal to 
Part 2) The population in 2010 was 
Step-by-step explanation:
Part 1) Write an exponential decay function that models this situation
we know that
In this problem we have a exponential function of the form
where
y ----> the fish population of Lake Collins since 2004
x ----> the time in years
a is the initial value
b is the base
we have
substitute
----> exponential function that represent this scenario
Part 2) Find the population in 2010
we have
so
For 
substitute
Answer:
The price after the discount but before the tax is $21
Step-by-step explanation:
Here, we are told there is a price off of 40% on an item that costs $35.
What we want to calculate is the value of what the price would be before the tax
We proceed by finding 40% of $35
Mathematically, that would be;
40/100 * 35 = $14
The price of the item before the tax is thus;
35-14 = $21
Answer:
The solution of given equation is x = -4
Step-by-step explanation:
We are given the following in the question:
Let x be the variable such that
Relation:
The quotient of a number and 4 is negative 1
We can write the equation as:
Solution:
Thus, the solution of given equation is x = -4
Answer:
20 units
Step-by-step explanation:
The polygon has 4 vertices as indicated by the 4 coordinate points given.
(3, 1) and (8, 1) is a horizontal side of length 8 - 3 = 5
Similarly
(3, 6) and (8, 6) is the opposite horizontal side of length 8 - 3 = 5
Points (3, 1) and (3, 6) is a vertical side of length 6 - 1 = 5
(8, 1) and (8, 6) is the opposite side of length 6 - 1 = 5
The polygon is therefore a square of side 5 units.
Perimeter = 4 × 5 = 20 units
P=2*(L+l)=46
L+l=46:2
L+l=23
(L+l)^2=529
(L^2+l^2)+2l*L=529
D= V L^2+l^2= 17
L^2+l^2=289
so 289+2l*L=529
2l*L=529-289=240
l*L=240:2
A=120
