Answer:
Value of the car after x years
Step-by-step explanation:
Exponential functions are generally expressed in the form: and since this function is decreasing, meaning it has an exponential decay, it can be expressed as:
where r=rate of decay.
In this case the a represents the initial value or y-intercept, since when x=0, (1-r)^0 = 1, so we just have y=a(1) or y=a
The r represents the rate of decay
the x usually represents the time in seconds, days, months, or whatever unit is being used
The y value represents the value of whatever your measuring, and in this context it represents the value of the car after x years.
This is because a represents the initial value
After one year it's only 85% worth it's initial value or 15% less which is represented as 0.85(a)
After two years it's only 85% worth the previous year or 15% less the previous year, which is represented as 0.85(0.85(a))
This will continue to decrease the number of years increase
Answer:
The value is
Step-by-step explanation:
Generally the number of employee to survey(sample size) is mathematically represented as
Here E is the margin of error which is given as E = 47
So substituting 1.645 for z and 155 for
=>
we are given
we can see that
each terms are multiple of 2
so, we can factor out 2
we can divide both sides by 2
we can rearrange it
now, we can move 10 on right side
now, we can add both sides 7^2 and 5^2
we can simplify it
we can also write as
..............Answer