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yarga [219]
2 years ago
13

❗❗❗❗HELP❗❗❗❗

Mathematics
2 answers:
den301095 [7]2 years ago
8 0

Answer:

The correct option is C: 15,040(1.21)t ≤ 100,000

Step-by-step explanation:

Consider the provided information.

It is given that after 7 a.m power usage on a college campus increases at a rate of 21% per hours.

Let t is the number of hours then the rate of increase will be:

21\%t=\frac{21}{100}t=0.21t

Prior to 7 a.m., 15,040 kWh have been used. Thus the increment of power use after t hours will be:

Increase=15,040(0.21)t

The total power consumption will be:

Previous power consumption + increase in power

15,040+15,040(0.21)t\\=15,040(1+0.21)t\\=15,040(1.21)t

The power usage on campus will be less than or equal to 100,000.

15,040(1.21)t\leq 100,000

Hence, the required inequality is 15,040(1.21)t\leq 100,000.

Thus, the correct option is C: 15,040(1.21)t ≤ 100,000

just olya [345]2 years ago
6 0

The power increases by 21% per hour. 21% written as a decimal is 0.21.

Because it increases you would multiply the starting value by 1.21 times the number of hours (t).

That needs to be less than or equal to 100,00

The equation would be:

C: 15,040(1.21)t ≤ 100,000

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A cube has edges that are 3 inches in length. How many of these cubes will it take to completely fill a larger cube that has an
lorasvet [3.4K]

64

Step-by-step explanation:

We will divide the volume of the larger cube with that if the smaller cube. However, we’ll first have to convert them to the same SI units;

12 inches  = 1 foot

Therefore the volume of the larger cube;

12 * 12 * 12 = 1728 inches cubed

The volume of the smaller cube;

3 * 3 * 3 = 27 inches cubed

Divide the two;

1728/27

= 64

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6 0
3 years ago
What is 24/5+167-29
77julia77 [94]
142.8
it fizzes up and shoots out
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7 0
3 years ago
Read 2 more answers
36, ___, ___, 32/3 is a geometric sequence, with some terms missing. First, please solve for "r", the common ratio between each
Ksju [112]

Answer: r = 2/3

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = 36

The 4th term is 32/3

n = 4

Therefore,

T4 = 32/3 = 36 × r^(4 - 1)

32/3 = 36 × r^3

Dividing both sides if the equation by 36, it becomes

32/3 × 1/36 = r^3

8/27 = r^3

Taking cube root of both sides of the equation, it becomes

(8/27)^1/3 = r^3 × 1/3

r = 2/3

3 0
3 years ago
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 .
Alex
<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

7 0
3 years ago
M is between points C and Q. CM=17 and CQ=21. What is MQ?
timurjin [86]
The answer is 21 - 17, which = 4.
Or you could +4 to CM (17) which equals CQ (21)
3 0
3 years ago
Read 2 more answers
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