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Juliette [100K]
3 years ago
11

A large container holds 8 gallons of water. It begins leaking at a constant rate. After 48 minutes, the container has 5 gallons

of water left.
Part 1 out of 2
At what rate is the water leaking? Express your answer as a positive value.

The water is leaking at the rate of gal/min.
Mathematics
1 answer:
Juliette [100K]3 years ago
5 0

Answer:

<em>The water is leaking at the rate of 0.0625 gal/min.</em>

Step-by-step explanation:

<u>Rate of change</u>

The rate of change (ROC) is a measure that compares two quantities, usually to know how fast one variable changes in time.

The container holds 8 gallons of water and is leaking at a constant rate to be calculated later.

When 48 minutes have passed, the container has 5 gallons of water left. This means it has leaked 8 gallons - 5 gallons = 3 gallons.

Calculating the rate at which it's leaking:

\displaystyle r=\frac{3\ gallons}{48\ min}

r = 0.0625 gal/min

The water is leaking at the rate of 0.0625 gal/min.

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OverLord2011 [107]

Answer:

N = 920(1+0.03)^4t

Step-by-step explanation:

According to the given statement a car repair center services 920 cars in 2012. The number of cars serviced increases quarterly at a rate of 12% per year after 2012.

Rate is 12 % annually

rate in quarterly = 12/4= 3%

We will apply the compound interest equation:

N=P( 1+r/n)^nt

N= ending number of cars serviced.

P=  the number of cars serviced in 2012,

r = interest rate

n = the number of compoundings per year

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Number of compoundings for t years = n*t = 4t

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The quarterly rate of growth = n=4

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3 years ago
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Alex17521 [72]

Answer:

(a) Number of inches that have burned from the candle since it was lit is (1.1t) inches

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