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Artist 52 [7]
3 years ago
6

Consider a refrigerator that consumes 320 W of elec- tric power when it is running. If the refrigerator runs only one quarter of

the time and the unit cost of electricity is
Mathematics
1 answer:
irinina [24]3 years ago
3 0

Answer: The refrigerator cost in this month is $4.5 approximately.

Step-by-step explanation:

Since we have given that

Amount of watt of electric power = 320 W

Number of days = 30

Unit cost of electricity = $0.13/Kwh

Hold factor = \dfrac{1}{4}

Number of hours in a month = 24

So, the refrigerator cost in this month would be

0.13\times 0.32\times \dfrac{1}{4}\times 30\times 24\\\\=\$7.488

Hence, the refrigerator cost in this month is $4.5 approximately.

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Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first three terms is 26.
Serga [27]

Answer:

<h3>The nth term Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequences</h3>

Step-by-step explanation:

Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.

If the sum of the first two term is 24, then a/r + a = 24...(1)

and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)

Substtituting equation 1 into 2 we have;

24+ar = 26

ar = 2

a = 2/r ...(3)

Substituting a = 2/r into equation 1 will give;

(2/r))/r+2/r = 24

2/r²+2/r = 24

(2+2r)/r² = 24

2+2r = 24r²

1+r = 12r²

12r²-r-1 = 0

12r²-4r+3r -1 = 0

4r(3r-1)+1(3r-1) = 0

(4r+1)(3r-1) = 0

r = -1/4 0r 1/3

Since a= 2/r then a = 2/(-1/4)or  a = 2/(1/3)

a = -8 or 6

All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of  a geometric sequence is expressed as

if r = -1/4 and a = -8

Tn = -8(-1/4)^(n-1)

if r = 1/3 and a = 6

Tn = 6(1/3)^(n-1)

The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms

6 0
3 years ago
What does x/2 + 6 = 7
MaRussiya [10]

Answer:

2

Step-by-step explanation:

2/2+6=7

8 0
2 years ago
Read 2 more answers
Tao Bergolts bank granted him a single-payment loan of $4,400 at an interest rate of 12 percent. The term of the loan is 172 day
jolli1 [7]

Answer: $ 14736 (approx)

Step-by-step explanation:

Since,  Maturity value is the amount payable to an investor at the end of a holding period of debt instrument.

And, It is defined as, V= P(1+r)^n

Where, P is the principal amount,

r is the interest rate

And, n is the time period.

Here, P=  $4,400 r=  12 % and n = 172/365

Thus, Maturity value for this loan,

V = 4400(1+12)^{172/365}

⇒V= 4400 × 3.34908932078 = 14735.9930114 ≈ 14736


6 0
2 years ago
River C is 100 miles longer than River D. If the sum of their lengths is 5,500 miles, what is the length of River D?
ryzh [129]
2,200 is how long river D is
8 0
3 years ago
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Find an equation for the nth term of the arithmetic sequence. -13, -8, -3, 2, ...
Nikitich [7]
Https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.798537.html
3 0
3 years ago
Read 2 more answers
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