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Oksana_A [137]
3 years ago
6

a bacteria population starts with 200 bacteriaa and grows at a rate of r(t) = (450.268)e 1.12567t bacteria per hour. How many ba

cteria will there be after three hours?
Business
1 answer:
Virty [35]3 years ago
4 0

Answer:

11,513

Explanation:

Data provided in the question:

Initial bacteria = 200

Growth rate r(t) = (450.268)e^{1.12567t}

Now,

Total growth after 3 hours = \int\limits^3_0 {(450.268)e^{1.12567t}} \, dt

or

Total growth after 3 hours = 450.268\int\limits^3_0 {e^{1.12567t}} \, dt

or

Total growth after 3 hours =450.268[\frac{e^{1.12567t}}{1.12567}]^3_0

[ ∵ \int{d(e^x)}{dt}=\frac{e^x}{\frac{dx}{dt}}]

Thus,

Total growth after 3 hours = 400 × [{e^{1.12567t}]^3_0

or

Total growth after 3 hours = 400 × [{e^{1.12567(3)}-e^{1.12567(0)}]

or

Total growth after 3 hours ≈ 11313

Hence,

Total bacteria after 3 hours = Initial bacteria + Total growth after 3 hours

= 200 + 11313

= 11,513

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Answer:

See below

Explanation:

Raw materials purchased is computed as;

Raw material purchase = Ending inventory + required for production - beginning inventory

= 50,000 + ((80,000 + 770,000 - 30,000) × 3) - 60,000

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8 0
2 years ago
select 3 goals or objectives that a leadership plan might include to achieve a solid business strategy.
Nezavi [6.7K]

In order to achieve solid business strategy in the leadership plan, the three goals the leadership plan includes are attracting new customers, increasing revenue, and decreasing cost price.

The three main goals in order to achieve solid business strategy in the leadership plan are targeting and attracting new customers, decreasing the cost price of goods or services being offered, and increasing the revenue.

The detail of these goals is given below:

  1. Attracting new customers is considered an important leadership goal as it increases market share and promotes competition with other brands. New customers are important in terms of sales. It is needed for a business to grow.
  2. Increasing revenue It is considered an important leadership goal because the basic purpose of every business is to earn profit. More growth means more profit. If an organization will be able to increase its revenue it will be able to maximize its profit.
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Therefore attracting new customers, increasing sales of product and services offered and decreasing cost are considered three goals that a leadership plan must include to achieve business strategy.

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3 0
1 year ago
Wilturner Company incurs $90,000 of labor related directly to the product in the Assembly Department, $39,000 of labor related t
Marina CMI [18]

Answer:

Wilturner Company

The journal entries to record the labor for the Assembly Department would include:

Debit Work in Process $155,000

Credit Direct labor $90,000

Credit Variable factory overhead $39,000

Credit Fixed factory overhead $26,000

To record the direct and indirect labor costs of the assembly department.

Explanation:

a) Data and Analysis:

Direct labor $90,000

Variable overhead (labor) $39,000

Fixed overhead (labor) $26,000

b) The direct labor cost = $90,000 and Factory overhead costs = $65,000 ($39,000 + $26,000)

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Answer:

Mortgage Payable Table is prepared in an MS Excel file which is attached with this answer, please find it

Explanation:

The loan which is received by a person for purchase of real estate property or alternatively existing property owner to raise fund from the property. The mortgage are paid with interest over a specific period of time in installment of monthly quarterly semiannually or yearly.

Installment includes both principal payment and Interest Payment.

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Total Payment = $37,092

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Answer:D

Explanation:

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