Answer:
Step-by-step explanation:
x is time in years
f(x) represent the average annual salary in thousand dollars
We are given
The average annual salary of the employees of a company in the Year 2005 was $70,000
We can use exponential formula
Since, time starts from 2005
So, at x=0 , f(x)=70
we can use it
in 2006 the average annual salary was $82,000
So, in x=2006-2005=1
f(x)=82
we can plug it and find b
now, we can plug it back
and we get
Answer:
Step-by-step explanation:
Volume of a pyramid =
Area of the rectangular base = Length × Width
= 8 × 6
= 48 mm²
Volume of the pyramid = 192 mm³
192 =
h =
h = 12 mm
Therefore, all the pyramids having height less than 12 mm will be fitted inside the given pyramid.
Height of the box(mm) Yes/No
10 Yes
13 No
8 Yes
Answer:
Dorsey = 4.8 hours
Campbell = 24 hours
Step-by-step explanation:
It takes "x" hours for Dorsey
So, it will take 5 times more for Campbell, so
It takes "5x" hours for Campbell
Rate is inverse of time, so rates are:
Dorsey: 1/x
Campbell: 1/5x
We know Rate * Time = Work
When together, it takes 4 hours to finish a work, so we can write:
Solving for x, we get the time of Dorsey:
Dorsey takes 4.8 hours alone
Campbell takes 4.8 * 5 = 24 hours alone