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Phoenix [80]
3 years ago
11

9) An investment of $20,000 earns interest at an annual rate of 3.6% compounded continuously. a) Find the instantaneous rate of

change of the amount in the account after 3 years. b) Find the instantaneous rate of change of the amount in the account when the amount is equal to $25,000.

Business
1 answer:
Butoxors [25]3 years ago
6 0

Answer:

a) The instantaneous rate of change of the amount in the account after 3 years = dA/dt = 802.114

b) The instantaneous rate of change of the amount in the account when the amount is equal to $25,000 = dA/dt = 900

Explanation:

The detailed step by step and appropriate derivation is as shown in the attachment

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The treasurer of Systems Company has accumulated the following budget information for the first two months of the coming year:Ma
expeople1 [14]

Answer:

March $6,000

April $134,400

Explanation:

Preparation of a monthly cash budget for March and April

SYSTEMS COMPANY CASH BUDGET FOR MARCH AND APRIL

March April

Estimated cash receipts from:

Cash sales $157,500 $182,000

($450,000*35%=$157,500)

($520,000*35%=$182,000)

Collections of accounts receivable

$285,000 $328,900

[$51,000+($450,000*65%*80%)=$285,000]

[($450,000*65%*20)+($520,000*65%*80%)=$328,900]

Total cash receipts $442,500 $510,900

($157,500+$285,000=$442,500)

($182,000+$328,900=$510,900)

Estimated cash payments for:

Manufacturing costs $174,500 $305,000

[$102,000+($290,000*1/4)=$174,500]

[($290,000*3/4)+($350,000*1/4=$305,000)]

Selling and administrative expenses $37,000 $37,500

[($41,400-$6,400)/2 + $19,500 $37,000]

[($46,400-$6,400)/2 +$19,500$37,500]

Capital additions $250,000 $0

Income taxes $0 $40,000

Total cash payments $461,500 $382,500

Cash increase (decrease) -$19,000 $128,400

($442,500-$461,500=-$19,000)

($510,900-$382,500=$128,400)

Cash balance at beginning of month $45,000 $26,000

Cash balance at end of month $26,000 $154,400

(-$19,000+$45,000=$26,000)

($128,400+$26,000=$154,400)

Minimum cash balance $20,000 $20,000

Excess (deficiency) $6,000 $134,400

($26,000-$20,000=$6,000)

($154,400-$20,000=$134,400)

Therefore The monthly cash budget for March and April will be :

March $6,000

April $134,400

7 0
3 years ago
The largest expenditure component of gdp is:
kenny6666 [7]
Goverment spending is the ansewer i belive
5 0
3 years ago
When a company chooses to market a product in certain parts of the country but not in others because consumer preferences of one
dexar [7]

When a company chooses to market a product in certain parts of the country but not in others because consumer preferences of one region differ from another region, it is known as geographic segmentation.

<h3>What are consumer preferences?</h3>

The products or commodities, which are demanded by consumers in a specific quantity at a given price due to the utility it brings to an individual consumer, is known as a consumer preference.

Hence, option A holds true regarding consumer preference.

Learn more about consumer preferences here:

brainly.com/question/3129917

#SPJ1

6 0
1 year ago
How much would you need to deposit in an account now, such that in 5 years your account will have increased to $8,000, assuming
VladimirAG [237]

Answer:

$6268.21

Explanation:

Future value = $8000

Interest(r) = 5%

Period (n)= 5 years

How much need to deposit?

Find the Present value:

PV = FV / (1+r)n

= 8000 / (1.05)5

= 8000 / 1.27628156

Present Value / Amount need to deposi today = $6268.21 approx

4 0
1 year ago
​(Perpetuities​) What is the present value of the​ following? a. A ​$ perpetuity discounted back to the present at percent b. A
mrs_skeptik [129]

Answer:

The present value of a perpetuity is calculated as follows:

= Cashflow / Discount rate

a. Present value of $400 perpetuity discounted at 15%

= 400 / 0.15

= $2,666.67

b. Present value of $3,000 perpetuity discounted at 19%

= 3,000 / 0.19

= $15,789.47

c. Present value of $110 perpetuity discounted at 16%

= 110 / 16%

= $687.50

d. Present value of $60 perpetuity discounted at 12%

= 60 / 0.12

= $500

6 0
3 years ago
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