This is an exponential decay problem.
Using the equation Y = a *(1-rate)^time
where Y is the future value given as 12,000 and a is the starting value given as 13,000.
The rate is also given as 5%.
The equation becomes:
12,000 = 13,000(1-0.05)^x
12,000 = 13,000(0.95)^x
Divide each side by 13000:
12000/13000 = 0.95^x/13000
12/13 = 0.95^x
Use the natural log function:
x = ln(12/13) / ln(0.95)
x = 1.56 years. ( this will equal 12,000
Round to 2 years it will be less than 12000.
Answer:
1006.72
Step-by-step explanation:
Multiply 9.68 by 104
Answer:
A) 20.82 > 20.55
Step-by-step explanation:
Hopefully, your issue is with the symbols (< vs >) rather than actually determining which number is larger or smaller.
The wide-open end of the symbol (the left side, in the case of >) indicates the larger (more positive) number.
So, the meanings of the symbols are ...
> — "is greater than"
< — "is less than"
The only true statement of those listed is ...
20.82 is greater than 20.55, or 20.82 > 20.55 . . . . selection A
_____
When writing number comparisons, I like to use the < symbol, because it puts the numbers in number-line order. That is, the smaller (or more negative) number is on the left, just as it is on a number line.
You trade the places of the numbers when changing the symbol. For example, answer choice A could be rewritten as ...
20.55 < 20.82
You know that 20.55 is to the left of 20.82 on the number line, so you know this statement is true.
Answer:
254
Step-by-step explanation:
the angle is 254
Answer:
-600
Step-by-step explanation:
The rate of change of a function f(x) in a certain interval 
is the ratio between the change of the function and the change in the value of x:
The rate of change of a function tells how much the value of the function is changing per change in unit of x: therefore, for a linear function it corresponds to the slope of the line.
In this problem, the function f(x) is equal to the value of the business machine in dollars, while the variable x represents the number of years.
Here we are told that the machine was purchased for
while its value decreases by $600 each year, so
This means that the linear function that represents the value of the machine after x years is:
Therefore, the rate of change of the function is -600.
