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BigorU [14]
3 years ago
6

Amber can paint a room in 20 hours. Christy can paint the same room in 16 hours. How long does it take for both amber and christ

y to paint the room if they are working together?
Mathematics
1 answer:
kompoz [17]3 years ago
5 0

Answer: it will take them 8.89 hours

Step-by-step explanation:

Amber can paint a room in 20 hours. This means that Amber's working rate per hour is 1/20

Christy can paint the same room in 16 hours. This means that Christy's working rate per hour is 1/16

If they work together, they would be working simultaneously and their unit rates is additive. This means that their combined rate would be

1/20 + 1/16

Assuming it takes t hours for both of them to paint the room working together. It means that their combined working rate per hour is 1/t. Therefore

1/20 + 1/16 = 1/t

(16 + 20/320 = 1/t

36/320 = 1/t

t = 320/36

t = 8.89 hours

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Answer:

B. $3525.43

Step-by-step explanation:  

We will use continuously compound interest formula to solve our problem.

A=P*e^{rT}      

A= Amount after T years.

P= Principal amount.

r= Interest rate (in decimal form).

e= The mathematical constant e.

T= Time in years.

First of all we will convert our interest rate in decimal form.

7.9\text{ Percent}=\frac{7.9}{100}=0.079

Now let us substitute our given values in above formula.

A=1600*e^{0.079*10}

A=1600*e^{0.79}

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Step-by-step explanation:

We will learn how to solve proportion problems. We know, the first term (1st) and the fourth term (4th) of a proportion are called extreme terms or extremes, and the second term (2nd) and the third term (3rd) are called middle terms or means.

Therefore, in a proportion, product of extremes  = product of middle terms

example

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