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belka [17]
3 years ago
8

Lola saved $86.25 in 3 months. She saved $30.75 in the first month and $7.99 in the second month. How much money did Lola save i

n the third month?
Mathematics
1 answer:
pickupchik [31]3 years ago
5 0
The correct answer is 47 dollars and 51 cents.
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1. Sand falling from a chute forms a conical pile whose altitude is always equal to 4/3 the radius of the base. (a) How fast is
solong [7]

Answer:

The volume is increasing at a rate of 16286 in³/min.

Step-by-step explanation:

a) The volume of a cone is given by:

V = \frac{1}{3}h\pi r^{2}

Where:    

r: is the radius

h: is the height

The rate of change of the volume can be calculated by using the chain rule:

\frac{dV}{dt} = \frac{\pi}{3}[\frac{dh}{dt}r^{2} + h\frac{d(r^{2})}{dt}]

Since h = 4/3 r we have:

\frac{dV}{dt} = \frac{\pi}{3}[\frac{d(\frac{4r}{3})}{dt}r^{2} + \frac{4r}{3}\frac{d(r^{2})}{dt}]

\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + r\frac{d(r^{2})}{dt}]        

\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}]    (1)    

With:

\frac{dr}{dt} = 3 in/min

r = 3 ft*\frac{12 in}{1 ft} = 36 in

And by entering the above values into equation (1) we have:

\frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min]

\frac{dV}{dt} = 16286 in^{3}/min

Therefore, the volume is increasing at a rate of 16286 in³/min.

I hope it helps you!                                    

3 0
3 years ago
140% of what number is 35
nika2105 [10]
Hello :)

140% of 35 is 25 <span>                
x = 25</span>
4 0
2 years ago
Read 2 more answers
I need help please with this question!!
Ira Lisetskai [31]
Sorry but where is the question
8 0
2 years ago
Which table of ordered pairs represents a proportinal relationship
jeyben [28]

Answer:

where are the tables lol

7 0
3 years ago
6. There are 90 seats in the school auditorium. The school had a sold out show of their play last weekend, and made $315. The co
Olegator [25]

Answer:

90

Step-by-step explanation:

4 0
3 years ago
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