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Pani-rosa [81]
3 years ago
13

Valdez Company opened a special checking account. The charge for each check written was either $.55 or a $6-a-month minimum serv

ice charge (whichever is greater). At the beginning of the month, the company checkbook balance was $695.18. Valdez Company wrote 14 checks totaling $312.88. Deposits of $188.10 and $195.10 were made during the month. What's Valdez's checkbook balance to start the next month (including the cost of check writing)?
Mathematics
2 answers:
eduard3 years ago
7 0

Answer:

$757.80

Step-by-step explanation:

Starting Balance - $695.18

minus written checks - $312.88 = $382.30

plus deposit total - $383.20 = 764.50

minus check charge - $7.70 ($.55 x 14) = $757.80

masha68 [24]3 years ago
6 0

Valdez Company opened a special checking account. The charge for each check written was either $.55 or a $6-a-month minimum service charge (whichever is greater). At the beginning of the month, the company checkbook balance was $695.18. Valdez Company wrote 14 checks totaling $312.88. Deposits of $188.10 and $195.10 were made during the month. What's Valdez's checkbook balance to start the next month (including the cost of check writing)?

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andreyandreev [35.5K]

Answer:

  • r = 2.632 cm
  • h = 3.722 cm

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is ...

  V = (1/3)πr²h

Then r² can be found in terms of h and V as ...

  r² = 3V/(πh)

The lateral surface area of the cone is ...

  A = (1/2)(2πr)√(r² +h²) = πr√(r² +h²)

The square of the area is ...

  T = A² = π²r²(r² +h²)

Substituting for r² using the expression above, we have ...

  T = π²(3V/(πh))((3V/(πh) +h²) = 9V²/h² +3πVh

We want to find the minimum, which we can do by setting the derivative to zero.

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This will be zero when ...

  3πV = 18V²/h³

  h³ = 6V/π . . . . . multiply by h³/(3πV)

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The corresponding value of r is ...

  r = √(3V/(πh)) = 9/√(π·h) ≈ 2.6319242

The optimal radius is 2.632 cm; the optimal height is 3.722 cm.

_____

The second derivative test applied to T finds that T is always concave upward, so the value we found is a minimum.

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Interestingly, the ratio of h to r is √2.

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Step-by-step explanation:

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4 years ago
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Answer:  y = 2000x + 89000

Step-by-step explanation:

Given that;

initial purchase amount = $89,000

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