Solve the problem. Round your answer to the nearest whole number.The capital value of an asset is defined as 
, where k is the annual rate of interest compounded continuously and R(t) gives the annual rate at which earnings are produced by the asset at time t. Find the capital value of an asset that produces $5000 yearly income at 7% compounded continuously.
A. $71,429
B. $75,000
C. $83,333
D. $70,000
Answer: A
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Solve the problem.One side of a triangle is twice as long as a second side. The third side of the triangle is 17 feet long. The perimeter of the triangle cannot be more than 44 feet. Find the longest possible values for the other two sides of the triangle.
A. 31 feet and 31 feet B. 9 feet and 18 feet C. 14 feet and 14 feet D. 8 feet and 16 feet
Solve the problem.As part of her retirement savings plan, Patricia deposited $200 in a bank account during her first year in the workforce. During each subsequent year, she deposited $30 more than the previous year. Find how much she deposited during her twentieth year in the workforce. Find the total amount deposited in the twenty years.
A. $800; $20,000 B. $770; $19,400 C. $800; $10,000 D. $770; $9700
Find the exact value of the expression. Do not use a calculator.cot 60° - cos 45°
A. 
B. 
C. 
D. 
The manager of an electronics store maintains an inventory of IBM-compatible computers and Macintosh computers in the quantities given in the table below. There is room in the store to stock at most 68 computers. The manager receives commissions on the sale of each computer in the amounts given in the table. If the manager can sell all of the computers, how many of each should she stock to maximize her commissions? InventoryIBMMacintoshMinimum1734Maximum3451Commission$54$44? Please enter your answer as three numbers in the following order: number of IBM computers, number of Macintosh computers, maximum commission. Separate the three numbers with commas.
What will be an ideal response?