Suppose the annual rate of income from an investment at any time t is 
. What is the formula for the present value of the income over the next 5 years at a 6% interest rate compounded continuously?
A. 
B. 
C. 
D. 
E. none of these
Answer: B
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Find the average value of 
over the given region.
over the cube in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 9 B. 52 C. 36 D. 18
Round the whole number to the given place value.205,829, ten-thousands
A. 200,000 B. 300,000 C. 205,000 D. 210,000
Factor the trinomial, or state that the trinomial is prime.x2 - x - 35
A. (x + 5)(x - 7) B. (x - 5)(x + 7) C. (x - 35)(x + 1) D. prime
Solve the problem.The rate of growth of the profit (in millions) from an invention is approximated by 
where x represents time measured in years. The total profit in year 1 that the invention is in operation is $35,000. Find the total profit function. Round to three decimal places where appropriate.
A. P(x) = -0.5e-x2 - 0.219 B. P(x) = -0.5e-x2 - 219,000 C. P(x) = -0.5e-x2 + 219,000 D. P(x) = -0.5e-x2 + 0.219