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The interest per year for $5,000 to become $9,110 after 30 years is 2.02% compounded continuously.
Answer:
![\left[\begin{array}{ccc}&January&February\\$beginning&45000&27500\\$receipts&97000&150000\\$disbursement&-114500&-163500\\$interest&0&0\\$subtotal&27500&14000\\$minimun&20000&20000\\$Financing&&\\$beginning&0&0\\$payment/loan&0&6000\\$ending&0&6000\\&&\\$ending cash&27500&20000\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%26January%26February%5C%5C%24beginning%2645000%2627500%5C%5C%24receipts%2697000%26150000%5C%5C%24disbursement%26-114500%26-163500%5C%5C%24interest%260%260%5C%5C%24subtotal%2627500%2614000%5C%5C%24minimun%2620000%2620000%5C%5C%24Financing%26%26%5C%5C%24beginning%260%260%5C%5C%24payment%2Floan%260%266000%5C%5C%24ending%260%266000%5C%5C%26%26%5C%5C%24ending%20cash%2627500%2620000%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Explanation:
On January we collect the 85,000 from revenues and the 12,00 form marketable securities.
Then, we add up each disbursement:
Materials 50000
Labor 30000
Overhead (net of depreciation) 19,500
Selling and administrative 15000
Total 114,500
Then we solve for the cash balance and get the blaance as it is higher than 20,000 we do not need financing
Then, this value is the beginning cash for February. As the ending balance is 14,000 we will take 6,000 financing to reach the bare minimum of 20,000
Answer:
21
Explanation:
Given that:
The utility function U(x, y) = 
The budget line income is:
105=4x +3y
The equation MRTS is:

where;


and:


∴
Using the equation MRTS:



4x = 12y
x = 12y/4
x = 3y
Replacing the value of x into the budget line income, we have:
105 = 4x + 3y
105 = 4(3y) + 3y
105 = 12y + 3y
105 = 15y
y = 105/15
y = 7
Then, from x = 3y
x = 3(7)
x = 21
Thus, she will consume 21 gapefruits
Answer: In January, when the products are delivered.