Answer: 500 miles
Step-by-step explanation:
Given : Sergio and Lizeth have planned to rent a car from a company that charges $75 a week plus $0.25 a mile.
i.e. Fixed charge= $75
Rate per mile = $0.25
Let x denotes the number of miles.
Then, Total charges = Fixed charge+ Rate per mile x No. of miles traveled
= $75+ $0.25x
To keep budget within $200, we have following equation.

Hence, they can travel 500 miles and still keep within their $200 budget.
Answer:
<h2>V = 5 cm³</h2>
Step-by-step explanation:
The formula of a volume of a pyramid:

<em>B</em><em> - base area</em>
<em>H</em><em> - height</em>
<em />
In the base we have a square withe side <em>s = 2cm</em>
The formula of an area of a square with side <em>s</em>:

Substitute:

The height <em>H = 3.75 cm</em>.
Calculate the volume:

9514 1404 393
Answer:
(dN)/(dt) = (0.4)/(1200)N(1200-N) -50
142 fish
Step-by-step explanation:
A) The differential equation is modified by adding a -50 fish per year constant term:
(dN)/(dt) = (0.4)/(1200)N(1200-N) -50
__
B) The steady-state value of the fish population will be when N reaches the value that makes dN/dt = 0.
(0.4/1200)(N)(1200-N) -50 = 0
N(N-1200) = -(50)(1200)/0.4) . . . . rewrite so N^2 has a positive coefficient
N^2 -1200N + 600^2 = -150,000 +600^2 . . . . complete the square
(N -600)^2 = 210,000 . . . . . simplify
N = 600 + √210,000 ≈ 1058
This steady-state number of fish is ...
1200 - 1058 = 142 . . . . below the original carrying capacity
Answer:

Step-by-step explanation:
Let
be the average of the sample, and the population mean will be
We know that:
gr
Let
be the standard deviation and n the sample size, then we know that the standard error of the sample is:

Where


In this case we are looking for:

This is:
or 

Now we get the z score



Looking at the tables for the standard nominal distribution we get


Answer:
A
Step-by-step explanation:
its the most logical one to me