Answer:
Step-by-step explanation:
Given that the number of people with Alzheimer's disease in the United States age 65 years and over is projected to be

where N is in millions where year 2010 corresponds to t=0
For 2020, 10 years lapsed hence t= 1
a) 
So 4.78025 million people
b) Growth = N(1)-n(0) =0.08025 million
c) N(4) = 5.084
Average rate of change = (5.084-4.7)/4 =0.096 million per decade
Answer:
6.78ft/sec
Step-by-step explanation:
From the question, dx/dt= 3.9 ft/sec
We are looking for Dy/dt
From geometry,vof this case the relationship between x and y is needed here, there is two similar triangle that exhibited by the man and the lamb
12/y= 5.1/(y-x)
Then ,cross multiply, we have
12(y-x)=5.1y
12y-12x=5.1y
12y-5.1y=12x
6.9y=12x
y=( 12/6.9)x
Differentiating implicitly the bother sides with respect to t, we have
Dy/dt= ( 12/6.9)dx/dt
But dx/dt= 3.9 ft/sec
Then Dy/dt= ( 12/6.9)× 3.9
Dy/dt=6.78ft/sec
Hence, the rate that the tip of the person's shadow moves away from the lamppost when the person is 9 ft away from the lampost is 6.78ft/sec
CHECK THE ATTACHMENT FOR THE FIQURE
Answer:
30/343
Step-by-step explanation:
to find the volume of a rectangle you multiply all three fraction
5/7*3/7*2/7
5/7*3/7=15/49
15/49*2/7=30/343
30/343
So you’ll take $11.50-$4.75=$6.75 then you’ll divide this answer by 3 6.75/3=2.25 so it was $2.25 per movie to rent