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Vinvika [58]
3 years ago
10

A furniture store is having a sale where everything is 40% off.

Mathematics
1 answer:
Vinil7 [7]3 years ago
8 0
If everything in the store is 40% off, then you can assume that the discount is .4*p, so the equation for the amount of discount would be d=.4p 

The equation for the sale price of an item would be the starting price, p, minus the discount price, d. If we write this equation, we get S=p-d. Since we already solved for d, we can plug that into this new equation to get s=p-.4p.  If the regular price is $85, then we can plug that in for p.

when it is plugged in, we get s=85,.4(85). Simplify this and you get s=85-34 or s=51. This means that the sale price would be $51
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Alex73 [517]

Answer:

A) A(t)  =  4500*π  -  1600*t

B) A(4)  =  7730 in³

C) t  =  8,8 sec

Step-by-step explanation:

The volume of the sphere is:

d max  =  30   r max  =  15 in

V(s) =  (4/3)*π*r³      V(s)  =   (4/3)*π* (15)³

V(s) = 4500*π

A)  Amount of air needed to fill the ball A(t)

A(t)  = Total max. volume of the sphere - rate of flux of air * time

A(t)  =  4500*π  -  1600*t    in³

B) After 4 minutes

A(4)  =  4500*π  - 6400

A(4)  =  14130 - 6400

A(4)  =  7730 in³

C)  A(t)  =  4500*π  -  1600*t  

when  A(t) = 0   the ball got its maximum volume then:

4500*π -  1600*t  =  0

t  =   14130/1600

t  =  8,8 sec

8 0
2 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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