This is an exponential equation that can be represented by the following:
f(x) = a(b)^x
In this case...
25143 = a(0.66)^3
25143 is the population after 3 hours.
3 is the amount of time in hours.
0.66 represents the percent of the population remaining after each hour (66% as there is a 34% decline each hour).
We must solve for a, which is the initial population.
First, simplify (0.66)^3 to 0.2874.
25143 = 0.2874a
Now divide both sides by 0.2874 to isolate a.
a = 87455
There were initially 87,455 people within the city. I wouldn't want to be in that place!
Answer:
y = -4x -1
Step-by-step explanation:
The slope intercept form of an equation is
y = mx +b where m is the slope and b is the y intercept
y = -4x -1
I have to say this is wrong because you subtracted 3 and 3 is the variable term. So what you need to do is to add 9 to both side to get 3x by it self. Then divide by 3 and then x=6
The scientific notation for the number 1063 is 1.063×10³ after using the concept of fraction option (B) 1.063×10³ is correct.
<h3>What is the number?</h3>
A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The number is 1063
As we know the scientific notation can be written as:

1063 can be written as:
= 1063
= (1063/1000)1000
1.063×10³
Thus, the scientific notation for the number 1063 is 1.063×10³ after using the concept of fraction option (B) 1.063×10³ is correct.
Learn more about the number here:
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Answer:
The minimum cost of producing 60000 units of a product is $105867
Step-by-step explanation:
Since x is the number of units of labor, at $99 per unit, and y is the number of units of capital expended, at $84 per unit, The cost C(x,y) is given by:


For the minimum cost:

Using the langrage multiplier,

Dividing both equation 1 and 2

Substituting
in
, we get:
labor units
Substituting
labor units in
, we get
labor unit

The minimum cost of producing 60000 units of a product is $105867