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 6% compounded continuously.
A. $85,000
B. $100,000
C. $80,000
D. $83,333
Answer: D
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Find the general solution of the differential equation. Use C, C1, C2, . . . to denote arbitrary constants. If used, do not simplify hyperbolic functions.y'(t) = 12t5 - 12t2 + 4 - 12t-3
A. y = 2t6 - 4t3 - 4t - 6t-2 + C B. y = 2t6 - 4t3 + 4t + 6t-2 + C C. y = 2t6 - 4t3 + 4 + 6t-2 + C D. y = 2t6 - 4t3 + 4t - 6t-2 + C
Use the rules of exponents to simplify the expression. Use positive exponents to write the answer.(-3x-4y-6)2
A. 
B. - 
C. 9x8y12
D. 
Provide an appropriate response.A debt of $600 is due 3 years from now and $800 due 5 years from now, is instead to be paid off by two payments: $500 now and a final payment at the end of 6 years. What would this payment be if an interest rate of 6% compounded quarterly is assumed?
Fill in the blank(s) with the appropriate word(s).
Use a calculator to find the interest earned if interest is compounded annually. Round to the nearest cent if necessary.$3000 at 3.5% for 4 years
A. $6442.57 B. $3442.57 C. $442.57 D. $3420.00