All you have to do is add all of the fractions up.
We are given with the following given
dV/dt = 35 m3/min
h = (3/2)D
What is asked is
dr/dt at t = 7 min
The volume of a cone is
V = (1/3)πr²h
From the given
h = (3/2)D
since D = 2r
h = 3r
Subsituting
V = πr³
At t = 7 min, the volume is
V = 35(7)
V = 245
and the radius is
245 = πr³
r = 4.27
Differentiating the volume
dV/dt = 3πr² dr/dt
From the given
dV/dt = 35
Subsituting
35 = 3πr² dr/dt
So,
dr/dt = 0.20 m/s
and
dh/dt = 0.60 m/s
The maximum number of miles she can drive is $111.388.
<h3>What is Unitary method?</h3>
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Step-by-step explanation:
The rental company charges $19.95
and, 18 cents for each mile driven.
So,
$40 - $19.95 = $20.05
Thus, the maximum number of miles she can drive
=$20.05 / by 0.18
= 111.388
Learn more about this concept here:
brainly.com/question/27826540
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Let
I1-------------> interest first day
I2-------------> interest second day
we know that
P0=$73000----------> initial amount
first day
I1=73000*(5%/100)*(1/365)-----------> I1=$10
P1=P0+I1------> $73000+$10-------- P1=$73010
second day
P1=$73010
I2=73010*(5%/100)*(1/365)-----------> I2=$10
P2=P1+I2------> $73010+$10-------- P2=$73020
the answer is $73020
Answer:
Step-by-step explanation:
<u>Volume Of A Regular Solid</u>
When a solid has a constant cross-section, the volume can be found by multiplying the area of the base by the height. The area of a trapezium is
where 
and 
are the lengths of the parallel sides and h the distance between them.
The figure shows a solid with a trapezoid as the constant cross-section and a height x. The volume of the solid is
The image doesn't explicitly say if the length of 4.5 is the height of the trapezium or the length of that side. We'll assume the first, so our data is:
We now compute the volume
