Answer:
Step-by-Step Solution
0.4 = 2/5 as a fraction
To convert the decimal 0.4 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
0.4 = 0.41
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
0.41 = (0.4 × 10)(1 × 10) = 410.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(4,10) = 2. So,
(4÷2)(10÷2) = 2/5 when reduced to the simplest form.
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: B
Step-by-step explanation:
Every real is solution of the equation .
