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Llana [10]
3 years ago
9

A homeowner is installing a swimming pool. You have been asked to install a circuit to operate a 600-watt underwater light and a

circulating pump. The motor nameplate reveals that the pump has a current draw of 8.5 amperes. The devices are considered continuous duty. Can the power to operate both of these devices be supplied by a single 20-ampere circuit?
Mathematics
1 answer:
insens350 [35]3 years ago
3 0

Answer:

The answer is given below

Step-by-step explanation:

The loads in the circuit are continuous duty, so the circuit can only loaded to 80% of its current rating.

Calculate 80% current rating of the circuit breaker.

Icb = [ 80/100] (20 A)

     =  (O.8) (20 A )

     = 16 A

Now we assume that the value of supply voltage is 120 V

Now we will calculate current flows via under water light which will be taken as  Load 1

<em>Ii = </em>500 W/120 V

  = 4.167 A

Current via the circulating pump which will be taken as Load 2 IS 8.5 A

<em>I = </em>load1 + load 2

<em>    = 4.167 A + 8.5 A</em>

<em>   = 12.67 A</em>

The total current in the circuit obtained which is less than the circuit breaker rating current. Therefore, the power can be operated for both the loads.

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Sales of 10000 increased by 65% each year write a function that represents the situation
erastovalidia [21]

Answer: y=10000(1.65)^x


Step-by-step explanation:

Given: The sales of 10000 increased by 65% each year .

Let x be the number of years.

The rate of growth=65%= 0.65

The exponential growth function is given by

y=A(1+r)^x

, where A is initial amount and r is the rate of growth in decimal.

Then the increase in the sales id given by :-

y=10000(1+0.65)^x\\\Rightarrow\ y=10000(1.65)^x

6 0
3 years ago
Anyone know the answer
Trava [24]

The answer is 3.

You have to do PEMDAS.


4 0
3 years ago
Read 2 more answers
What steps should be taken to calculate the volume of the right triangular prism? Select three options.
Mariana [72]

Answer:

Options A, D and E.

Step-by-step explanation:

Formula to calculate the volume of the triangular prism is,

Volume of the triangular prism = (Area of the triangular base)×(height)

                                                    = B × h

Area of the right triangular base = \frac{1}{2}(\text{Base})(\text{height})

                                                      = \frac{1}{2}(8)(14)

                                                      = 56 m²                                                    

                   Volume of the prism = (56)(7)

                                                      = 392 cubic meter

Therefore, from the given options correct options are Option A, Option D and Option E.

5 0
3 years ago
Read 2 more answers
In 2005, the Summerville Journal had 110,000 subscriptions. The number of subscriptions subsequently decreased by 8% each year.
barxatty [35]

Answer:

The number of subscription will be 26,655 in 2022.

Step-by-step explanation:

In 2005, the number subscription is 110,000 and it is decreased at a rate 8% per year.

After 1 year number of subscription is 110,000- 8% of 110,00

                                                              =110,000(1-8%)

After 2 years  number of subscription is 110,000(1-8%) -8% of 110,000(1-8%)

                                                               =110,000(1-8%)(1-8%)

                                                               =110,000(1-8%)²

After 2 years  number of subscription is 110,000(1-8%)² -8% of 110,000(1-8%)²

                                                               =110,000(1-8%)²(1-8%)

                                                               =110,000(1-8%)³

....

and so on.

After t year the number of subscription is

S(t)=110,000(1-8\%)^t

t= 2022-2005=17 years

\therefore S(t)=110,000(1+0.08)^{17}

          ≈26,655

The number of subscription will be 26,655 in 2022.

6 0
3 years ago
The value of y varies directly as the square of x and y=27 when x=9. Find the equation that represents this relationship. Report
Alik [6]

Answer:

im positive the answer is Y=1/3x2

Step-by-step explanation:

5 0
2 years ago
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