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Stolb23 [73]
2 years ago
15

Your utility company charges 11 cents per​ kilowatt-hour of electricity. Complete parts​ (a) and​ (b) below. a. What is the dail

y cost of keeping lit a 75​-watt light bulb for 12 hours each​ day? b. How much will you save in a year if you replace the bulb with an LED bulb that provides the same amount of light using only 20 watts of​ power?
Mathematics
1 answer:
Colt1911 [192]2 years ago
5 0

Answer:

a. 9.9 cents

b. 26.5 dollars

Step-by-step explanation:

The first thing they mention to us is the cost of energy 11 cents / kwh

a) In the first point they ask us to calculate the daily cost of keeping the flashlight on for 12 hours, they tell us that it consumes 75 watts per hour, but this value must be passed to kW because the cost is given in kWh

to pass it, it would be: 75 watt * 1 kw / 1000 watt = 0.075 kw,

the formula to apply would be like this:

Daily cost = flashlight cost * time * energy cost

we all know them so we replace:

Daily cost = 0.075 kw * 12 h * 11 cents / kwh = 9.9 cents

b) Now, to know the annual savings, we must calculate the difference between the expense of the normal flashlight and the LED, let's calculate the daily cost of the LED, like this:

20 watt * 1 kw / 1000 watt = 0.02 kw

Daily cost = 0.02 kw * 12 h * 11 cents / kwh = 2.64 cents

Now by calculating the difference we multiply by 365 which are the days of a year.

Savings / year = (9.9 - 2.64) * 365 = 2649.9 cents = 26.5 dollars.

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Clarissa helps her mom put the 200-Newton lawn mower in the back of her mom’s truck. They lift the mower up from the ground to t
Mice21 [21]

Answer:

220 N * m or 220 J

Step-by-step explanation:

We have that the work formula would be the applied force multiplied by the distance traveled, that is:

W = F * d

In this case the F is 200 N and the distance is 1.1 meters, therefore we replace:

W = 200 * 1.1

W = 220 N * m = 220 J

Therefore the work carried out by Clarissa and her mom is 200 joules.

6 0
2 years ago
Find a b if a = 3i + 8j and b = -0.5i -4j.
Gekata [30.6K]

Answer:

-33.5

Step-by-step explanation:

So this is a dot products vector problem, so the i and j represent x and y or horizontal and vertical components. So you multiple 3i and -0.5i and then separately multiply 8j and -4j. You get -1.5 and -32. Now all you have to do is add them and you get -33.5.

Basically in short:

1. Multiply the “i’s”.

2. Multiply the “j’s”.

3. Add the two products together.

HOPE THIS HELPS !! :-)

3 0
2 years ago
Read 2 more answers
Billy's mother had five children. The first was named Lala, the second was named Lele, the third was named Lili, the fourth was
vovikov84 [41]

Answer:

billy

Step-by-step explanation:

its billy's mother. he/she is one of the children

4 0
2 years ago
Yolanda used a reconciliation worksheet provided by her bank. Line 5 should equal line 6 at the end of the reconciliation, but i
forsale [732]

Answer is 19.99 dollars

Explanation:

Let us draw the reconciliatin done by Yolanda linewise

Banking reconciliation Worksheet Amount of Mega

1) Closing balance                                                       $ 345 89

2) the sum of any outstanding deposits or credits.         0.00

3)   Sum of 1 and 2                                                          345.89

4. sum of any outstanding checks or debits.                $ 37 51 5.

5) (3)-(4)                                                                           $ 308 38

6) checkbook balance.                                                   $ 328 37  

7) Difference (6)-(5)                                                         $   19.99


SInce difference is exactly 19.99 dollars Yolanda should look for the amount 19.99 dollars to find a solution to the problem i.e. to see the reason for the difference between lines 5 and 6                

4 0
2 years ago
Read 2 more answers
Which composition of transformations maps figure RSTUV to figure R"S"T"U"V"?
Sergeu [11.5K]

Answer:

option: B is correct

A reflection across line n followed by a 270° rotation about point P.

Step-by-step explanation:

Clearly from the figure we could see that the graph is first reflected across the given line n such that we obtain the figure R'S'T'V'U' and then it is rotated 270° across the point P so that we obtain the figure R"S"T"U"V".

Hence, option B is correct.

( A reflection across line n followed by a 270° rotation about point P )

5 0
2 years ago
Read 2 more answers
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