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Leto [7]
3 years ago
8

Find the cost in dollars of the operating a 60-W lamp continuously for 1 week when the power utility rate is 18 cents/kWh .

Mathematics
1 answer:
Alex3 years ago
7 0
<h2>Answer:</h2>

The cost in dollars is:

                       $ 1.8144

<h2>Step-by-step explanation:</h2>

It is given that:

The 60-W lamp is operated  continuously for 1 week.

We know that:

  1 week=7 days

and 1 day=24 hours

This means that:

     1 week=24×7

i.e.  1 week= 168 hours

Also, 1 kW=1000 W

This means that:

 1 W=0.001 kW

Hence,

 60-W=0. 060 KW

i.e. Power= 0.60 KW

Hence, the energy consumed is:

Energy=Power×Time

i.e.

Energy=0.060×168

i.e.

Energy=10.08 KWh

Also, cost of 1 KWh=18 cents

We know that:

1 cent=0.01 dollar

This means that:

18 cents=0.18 dollar

i.e.

Cost of 1 KWh=$ 0.18

Hence, cost of 10.08 KWh is: $ (0.18×10.08)

i.e.

Cost of 10.08 KWh is: $ 1.8144

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Step-by-step explanation:

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3 years ago
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Determine whether the point (4,2) is in the solution set of the system of inequalities below. 4x + y &lt; 2 y &gt; –2
sladkih [1.3K]

Answer:

False

Step-by-step explanation:

4x + y < 2

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Substitute the point into the inequalities and see if they are true

4(4) + 2 < 2

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8 0
3 years ago
Find the sumofthe geometrical progression of five terms, of which the first term is 7 and the multiplier is 7.Verify that the su
777dan777 [17]

Answer:

The sum of first five term of GP is 19607.

Step-by-step explanation:

We are given the following in the question:

A geometric progression with 7 as the first term and 7 as the common ration.

a, ar, ar^2,...\\a  = 7\\r = 7

7, 7^2, 7^3, 7^4...

Sum of n terms in a geometric progression:

S_n = \displaystyle\frac{a(r^n - 1)}{(r-1)}

For sum of five terms, we put n= 5, a = 7, r = 7

S_5 = \displaystyle\frac{7(7^5 - 1)}{(7-1)}\\\\S_5 = 19607

The sum of first five term of GP is 19607.

Verification:

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Thus, the sum is equal to product of 2801 and 7.

7 0
3 years ago
PLEASE HELPPPP!!!!!!!
jek_recluse [69]

Answer:

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Step-by-step explanation:

from Q - T

both are at -9 so its a straight line.

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8 0
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I’ll mark you if you get the right answer and I have another problem so if you can find it pls help!
Mrac [35]

Answer:

D

Step-by-step explanation:

1/2 * 3/4 equals 0.375 which is less than .5

.5= 1/2

so therefore,  im right i guess.

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3 years ago
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