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kogti [31]
3 years ago
15

The consumption rate of​ electricity, in​ kW/h has​ increased, on​ average, at 3.5​% per year. If it continues to increase at th

is rate​ indefinitely, find the number of years before the electric companies will need to double their generating capacity.
The electric utities will need to double their generating capacity in about _____ years.
Mathematics
1 answer:
BartSMP [9]3 years ago
8 0

Answer:

20.14

Step-by-step explanation:

Given that the consumption rate of​ electricity, in​ kW/h has​ increased, on​ average, at 3.5​% per year.

So if initial consumption is C after one year it would be

(1+0.035)C and after 2 years (1+0.035)^2C

and so on

In general after n years

C(n) = 1.035^n C\\

When C(n) is twice C we have

2=1.035^n\\log 2= n log 1.035\\n = 20.14

Between 20 and 21 years

Hence The electric utities will need to double their generating capacity in about ___20.14__ years.

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In triangle JKL, sin(b°) = three fifths and cos(b°) = four fifths. If triangle JKL is dilated by a scale factor of 2, what is ta
scoundrel [369]

Answer:

Tan(b°) = 3/4 = three fourths (C)

Step-by-step explanation:

Triangle JKL is a right angled triangle in which angle K is a right angle and angle L= b°

We would apply SOHCAHTOA from trigonometry to determine the value for each sides.

For ∆JKL

Sin(b°) = opposite/hypotenuse

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Cos(b°) = 4/5

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From the above we know the value of each sides of ∆JKL

Find attached the diagram of the above triangle (1)

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Meaning we would multiply each sides of ∆JKL by 2. The values of the new triangle become:

Opposite = 2(3) = 6

Adjacent = 2(4) = 8

Hypotenuse = 2(5) = 10

To find tan(b°) of the new triangle, we would apply tangent ratio

Tan(b°) = opposite/adjacent

Tan(b°) = 6/8

Tan(b°) = 3/4

Find attached the diagram for the new triangle (2)

Diagram 3 shows the drawing of both triangles together.

From the above, we can see the angle doesn't change when a shape is dilated by a scale factor.

Therefore, tan(b°) = three fourths (C)

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3 years ago
Giving Brainliest/Correct Answer/MATH
Ilia_Sergeevich [38]
What’s the question??
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A box of 200 rubber bands costs $1.20. what is the unit price of the rubber bands?
WINSTONCH [101]

Answer:

<u><em>0.006 cents</em></u>


Step-by-step explanation:

divide 1.20 with 200

since a unit price is 1 of something

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We can use quadratic formula
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x= \frac{1+ \sqrt{47}i }{6} &#10;\\ \\ x=  \frac{1- \sqrt{47}i }{6}


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