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zhuklara [117]
3 years ago
15

You can upgrade lighting at your factory to LED bulbs that coast 6.95 each and last an average of 5 years.

Mathematics
1 answer:
miskamm [114]3 years ago
3 0

Answer:

$200

Step-by-step explanation:

Here is the full question

You can upgrade lighting at your factory to LED bulbs that cost $6.95 each and last an average of 5 years. It costs $3 in labor to change a bulb. Over a 10-year period, about how much will it cost per year to install LED bulbs in 100 lamps and change the bulbs when they burn out?

in 10 years, the bulbs would be changed twice

Total cost incurred per bulb in 10 years = (6.95 +  $3) x 2 = $19.90

Since there are 100 bulbs, total cost incurred would be - $19.90 x 100 = $1990

Cost per year = $1990 /  (6.95 +  $3) = $200

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First, you have to transform your numbers into proper fractions:
1 and 3/5 = (5+3)/5 = 8/5
1 and 1/5 = (5+1)/5 = 6/5

Therefore your arithmetic sequence is 2, 8/5, 6/5, ...

In an arithmetic sequence, the difference between a given term and the preceding one is equal to the difference between the <span>following </span>term and the given one. In your case:
d = 8/5 - 2 = (8-10)/5 = -2/5
As a prove: d = 6/5 - 8/5 = -2/5

Now, in order to find the 25th term you need to apply the formula:
an = a + (n - 1)d
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3 years ago
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Mrrafil [7]

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3 years ago
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A jeweler is dividing
Anuta_ua [19.1K]

Answer: OPTION D:  \frac{3}{32}

Step-by-step explanation:

By definiton, fractions have the following form:

\frac{a}{b}

Where "a" is called numerator and "b" is the denominator. The numerator and the denominator are Integers.

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\frac{a}{b}\div\frac{d}{e}=\frac{a}{b}*\frac{e}{d}=\frac{a*e}{b*d}

In this case, according to the information given in the exercise, you know that \frac{3}{8}\ lb of rubies are divided into 4 lots.

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5 0
3 years ago
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