136,668,528 is the answer I got I hope this helps
Answer:
a) Log ( 2 ) = 4t Log ( 83/80 )
b) 4.7 years
Step-by-step explanation:
Attached below is the detailed solution
<u>a) exponential statement in log form for an investment at 15% quarterly </u>
Log ( 2 ) = 4t Log ( 83/80 )
n = 4 , r = 15
<u>b) using change to base to find double time in yr </u>
Double time in yr
t = Log ( 2 ) / 4log ( 83/80 )
= 4.7 years
At point B the object in motion is moving at a constant speed where at point A the movement is increasing (accelerating).
Answer:
The student took 2.5 minutes to paint 1 square foot.
Step-by-step explanation:
In order to know how long the student took to paint each square foot we first need to know the total area of the bulletin board. Since it is a rectangle we can compute it's area by multiplying the width and the height. That is:
area = 2*3 = 6 square foot
Since the student took 15 minutes to paint the whole board the pace at which he was working can be calculated by dividing the total area of the board by the time he took to paint all of it. So we have:
pace = 6/15 = 0.4 foot/min
To find how long it took him to paint 1 square foot we can divide it by the pace he was painting. We have:
time = 1/0.4 = 2.5 minutes
The student took 2.5 minutes to paint 1 square foot.
Area = π x radius²
dA/dr = 2πr
Average rate of change = (rate of change at one instant + rate of change at other instant)/2
= (2πr₁ + 2πr₂)/2
= (r₁ + r₂)π
Ai) 9π
Aii) 8.5π
Aiii) 8.1π
B) Instantaneous change:
(dA/dr) at (r = 4) = 2π(4)
= 8π
