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mr Goodwill [35]
3 years ago
12

You earn $9.50 per hour at your summer job. Write and solve an inequality to find the number of hours you need to work to buy a

camera that costs $247. define the variable. create an inequality. Solve.
Mathematics
1 answer:
masha68 [24]3 years ago
3 0
Let
h
represent hours worked.
Now, we know the pay for one hour of work is
$
9.50
. So, the amount of pay for
h
hours worked is given by
9.50
h
.
Furthermore, since we're saving for a camera that costs
$
247
,
we want at LEAST
$
247
(but it's okay if we have more). So, we'll be using
≥
in the inequality.
So, our inequality is
9.50
h
≥
247

To solve, we simply divide both sides by
9.50
:
h
≥
247
9.50

h
≥
26

You need to work at least
26
hours to buy the digital
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Toward the middle of the harvesting season, peaches for canning come in three types, early, late, and extra late, depending on t
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Answer:

a) 12

b) 18

c) 37

d) 97

Step-by-step explanation:

Toward the middle of the harvesting season, peaches for canning come in three types, early, late, and extra late, depending on the expected date of ripening. During a certain week, the following data were recorded at a fruit delivery station:

34 trucks went out carrying early peaches ;

61 carried late peaches ;

50 carried extra late;

25 carried early and late;

30 carried late and extra late;

8 carried early and extra late;

6 carried all three;

9 carried only figs (no peaches at all) .

<u>To solve this problem, the best solution is to drawn a Venn Diagram, which is attached.</u>

(a) How many trucks carried only late variety peaches?

12

(b) How many carried only extra late?

18

(c) How many carried only one type of peach ?

7+12+18 = 37

(d) How many trucks (in all) went out during the week?

Sum of all the numbers on the Diagram:

7+2+6+19+12+24+18+9= 97

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Rudiy27

Answer:

a). converges

b). diverges

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Step-by-step explanation:

{ $ a_n $ } = { $ nr^n $ }

Using radio test,

L = $ \lim_{n \rightarrow \infty} |\frac{a_n + 1}{a_n}| $

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   = $ \lim_{n \rightarrow \infty} |(1+\frac{1}{n})^r| $

   = $ \lim_{n \rightarrow \infty} |r| $

   = |r|

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This sequence is monotonically decreasing and bounded.

0 < $ a_n $ < 1

Hence, { $ a_n $ } converges.

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This sequence is monotonically increasing sequence which is not bounded.

Hence, { $ a_n $ } diverges.

c). r = 1/6

$\{ a_n \}=  \{\frac{1}{6}, n \}$

This sequence is monotonically decreasing and bounded.

0 < $ a_n $ < 1

Hence, { $ a_n $ } converges.

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