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Amanda [17]
3 years ago
6

A population of wild horses has a growth rate (r) of 0.2 per year. If the population starts out with 50 individuals and there is

no migration, how many would you expect after one year; after two years?
a. 10; 2 b
52; 54
c. 60; 70
d. 60;72
e. 70;90
Business
1 answer:
777dan777 [17]3 years ago
7 0
The answer to this question is e
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How much would you have to invest today in the bank at an interest rate of 10% to have an annuity of $5600 per year for 7 years,
Shtirlitz [24]

Answer:

PV = $27,263.15

It will be needed to deposit the lump sum of $27,263.15

Explanation:

The question is asking for how much will you need to deposit in a lump sum  today to withdraw for seven years the sum of $5,600 with an interest rate of 10%

In other words it is asking us for the preset value of an annuity of $5,600 with interest of 10%

Using the present value of an annuity formula of $1 we can solve for the present value of that annuity, which is the amount needed to generate this annuity

C * \frac{1-(1+r)^{-time} }{rate}= PV\\

We post our knows value and solve it:

5,600 * \frac{1-(1+0.10)^{-7} }{0.10}= PV\\

PV = $27,263.15

8 0
3 years ago
Marginal cost is equal to average total cost when a. average variable cost is falling. b. marginal cost is at its minimum. c. av
atroni [7]

Answer: C

Explanation: average total cost is at its minimum

3 0
2 years ago
Journalizing issuance of stock—at par and at a premium
suter [353]

Answer:

a.

Cash                                                                           27000 Dr

     Common Stock                                                            13500 Cr

     Paid in capital in excess of par-Common stock         13500 Cr

b.

Cash                                                    135000 Dr

     Preferred Stock                                   135000 Cr

Explanation:

a.

When we issue stock at premium, we always record the amount received from such issuance of stock at full. So, the cash account will be debited for 4500 * 6 = 27000

However, we record the common stock issued at par value and the remaining is credited under the reserve account which is Paid in capital in excess of par.

Thus the common stock will be credited by its par value of 4500 * 3 = 13500 and the remaining 4500 * 3 will be credited to the Paid in Capital account.

b.

The par value of the preferred stock is 4500 * 30 = 135000

Thus the preferred stock is issued at par and we simply debit the cash received from the issue and credit the preferred stock.

4 0
3 years ago
Liberty Insurance Company processes applications forms. The average output in a week is 600 claims. Currently the staff includes
GarryVolchara [31]

Answer:

Output = 600 claims

Input = (18*6*40) + 1200 = $5520

Cost per application = $9.2 is the cost per claim

Productivity ratio = 600 / 5520 = 0.1086

Explanation:

The productivity of the application process = total weekly cost incurred / weekly application output

Here we have average output of 600 application per week

And cost we have,

Total cost = weekly staff cost + weekly cost on computer technology

Weekly staff cost = 40 hours * 6 staff * $18 per hour rate = $ 4,320

Weekly cost on computer technology = $ 1200

Total cost = $4320 + $ 1200 = $5,520

Now productivity = $ 5,520 / 600 application = $ 9.2

Or we can say that it takes $ 9.2 to process one application

(b) Here we have average output of 650 application per week

And cost we have,

Total cost = weekly staff cost + weekly cost on computer technology

Weekly staff cost = 40 hours * 5 staff * $18 per hour rate = $ 3,600 ( assumed that one staff is reduced as one application evaluator is retiring and not replaced)

weekly cost on computer technology = $ 1800

Total cost = $3,600 + $ 1800 = $5,400

Now productivity = $ 5,400 / 650 application = $ 8.31

Or we can say that it takes $ 8.31 to process one application

Percentage change in productivity ={ ($8.31 – $ 9.2 )/ $ 8.31 } * 100 = - 10.71%

Means that the cost has reduced by 10.71 % by the new process

4 0
3 years ago
The standard cost of product 777 includes 2.9 units of direct materials at $6.8 per unit. During August, the company bought 29,2
Olegator [25]

Answer:

Total Material Variance = $1,636 Favorable

Material Price Variance = $2,920 Unfavorable

Material Quantity Variance = $4,556 Favorable

Explanation:

Total Material Variance = Standard Cost - Actual Cost

Standard Cost = Standard units \times Standard Price

Standard Units = 10,300 \times 2.9 = 29,870 units

Standard cost =  29,870 \times $6.8 = $203,116

Actual Cost = 29,200 \times $6.90 = $201,480

Total Material Variance = $203,116 - $201,480 = $1,636 Favorable

Material Price Variance = (Standard Rate - Actual Rate) \times Actual Units

= ($6.8 - $6.9) \times 29,200 = - $2,920 Unfavorable

Material Quantity Variance = ( Standard Units - Actual Units) \times Standard Price

= (29,870 - 29,200) \times $6.8

= $4,556 Favorable

Final Answer

Total Material Variance = $1,636 Favorable

Material Price Variance = $2,920 Unfavorable

Material Quantity Variance = $4,556 Favorable

8 0
3 years ago
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