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Alinara [238K]
1 year ago
11

Activity 1. Evaluate the following limits.

Mathematics
1 answer:
Vikki [24]1 year ago
6 0
Can you give me an idea of what you want
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A jeweler wants to minimize business costs and has found that the average cost in dollars per necklace is given by C(x)=0.5x^2-7
Vika [28.1K]

Answer:

The maximum cost is 41 dollars per necklace.

Step-by-step explanation:

The average cost in dollars/necklace is given by :

C(x)=0.5x^2-7x+65.5  .....(1)

Where

x is the number of necklaces that are created

To maximize the cost, find the value of x by putting dC/dx = 0

\dfrac{d}{dx}(0.5x^2-7x+65.5)=0\\\\x-7=0\\\\x=7

Now put the value of x = 7 in equation (1).

C(x)=0.5(7)^2-7(7)+65.5\\\\=41\ \text{dollars per necklace}

Hence, the maximum cost is 41 dollars per necklace.

8 0
2 years ago
Carl Brownstein is a golf course groundkeeper whose annual gross pay is $45,500. He has exemptions of $3,000. The tax state on t
zhenek [66]

Answer:

Step-by-step explanation:

7 0
3 years ago
A blue bag has 2 times as many marbles as a red bag. The blue bag has 6 marbles.
avanturin [10]

Answer:

3

Step-by-step explanation:

5 0
3 years ago
2. The water level in a reservoir is now 52 meters. Which equation can be used to find the initial depth, d, if this is the wate
Maru [420]

Answer:

1.23d = 52

Explanation:

If 52 meters is the water level after a 23% increase, then we can say that the initial depth d added to the 23% of d is equal to 52 meters. So:

d + 23%d = 52 meters

Since 23% is equivalent to 0.23, we get:

d + 0.23d = 52

Finally, adding the like terms, we get:

(1 + 0.23)d = 52

1.23d = 52

So, the equation is:

1.23d = 52

8 0
9 months ago
Mary earns $5 per hour as a waitress. Last week she took home her regular earnings of $5 per hour plus $182 in tips for a total
Greeley [361]
The answer would be 24
4 0
2 years ago
Read 2 more answers
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