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GuDViN [60]
2 years ago
7

Tap A can fill a tank in 3 hours. Tap B takes 8 hours to fill the same tank.What fraction of the tank can be filled by both taps

in 2hours?​
Mathematics
1 answer:
Brilliant_brown [7]2 years ago
6 0

Answer:

11/12

Step-by-step explanation:

Tap A

1 tank / 3hr = 1/3 tank/1hr

Tap B

1 tank / 8 hr = 1/8 tank /1hr

Tap A + Tap B X 2hr

(1/3/hr +1/8/hr) * 2hr = 2/3 + 2/8 (the hr cancels out) = 8/12 + 3/12 = 11/12

LET ME KNOW IF THIS HELPED

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The net worthw(t) of a company is growing at a rate of′(t) = 2000−121t2dollarsper year, wheretis in years since 1990.(a) If the
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Answer:

The worth of the company in 2000 is $56,000.

Step-by-step explanation:

The growth rate of the company is:

f'(t)=2000-12t^{2}

To determine the worth of the company in 2000, first compute the change in the net worth during the period 1990 (<em>t</em> = 0) to 2000 (<em>t</em> = 10) as follows:

\int\limits^{10}_{0} {2000-12t^{2}} \, dt =\int\limits^{10}_{0} {2000} \, dt-12\int\limits^{10}_{0} {t^{2}} \, dt=2000 |t|^{10}_{0}-12|\frac{t^{3}}{3}|^{10}_{0}\\=(2000\times10)-(4\times10^{3})\\=20000-4000\\=16000

The increase in the company's net worth from 1990 to 2000 is $16,000.

If the company's worth was $40,000 in 1990 then the worth of the company in 2000 is:

Worth in 2000 = Worth in 1990 + Net increase in company's worth

                        =40000+16000\\=56000

Thus, the worth of the company in 2000 is $56,000.

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