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3 years ago

A boathouse costs $2500 a month to operate, and it spends $600 each

Mathematics

2 answers:

Lorico [155]3 years ago

8 0

Answer: P=300n-2500 APEX

Sever21 [200]3 years ago

7 0

Answer:

$P(n)=300n-2500$

Step-by-step explanation:

The fixed cost to operate the boathouse is $2500/month. It also has a cost of $600/month for every boat it docks.

If n boats are docked, then the total monthly cost is expressed as

$C=2500+600n$

The boathouse charges $900/month for every boat docked. The revenue for n boats will be

$R=900n$

The profit function can be constructed by subtracting revenue and cost

$P(n)=900n-(2500+600n)=300n-2500$

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A spherical balloon has a 34-in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the

jeka57 [31]

Answer:

a. 20,579.52 cubic inches

b.10,289.76 cubic inches.

c. 13.49 inches

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of a sphere:

Volume of a sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

34 =2r

34/2=r

r= 17 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (17)³

V = 20,579.52 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

20,579.52/2 = 10,289.76 cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=10,289.76

10,289.76= 4/3 π r³

Solving for r

10,289.76/ (4/3 π)= r³

2,456.5 = r³

∛2,456.5 = r

r = 13.49 inches

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Annette [7]

Answer:

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alina1380 [7]

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