Solve the problem.In the formula N = Iekt, N is the number of items in terms of an initial population I at a given time t and k is a growth constant equal to the percent of growth per unit time. How long will it take for the population of a certain country to double if its annual growth rate is 0.6%? Round to the nearest year.
A. 333 yr
B. 50 yr
C. 1 yr
D. 116 yr
Answer: D
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The position vector of a particle is r(t). Find the requested vector.The acceleration at t = for r(t) = (2 sin 5t)i - (10 cos 5t)j + (9 csc 5t)k
A. a = -50i - 225k
B. a = 50i + 225k
C. a = 250j + 225k
D. a = -50i + 225k
Find the specified subset.The integers in the set
A.
B.
C.
D.
Solve the problem.You inherit $70,000 from a very wealthy grandparent, with the stipulation that for the first year, the money must be invested in two stocks paying 4% and 10% annual interest, respectively. How much should be invested at each rate if the total interest earned for the year is to be $4000?
A. $20,000 invested at 4%; $50,000 invested at 10% B. $50,000 invested at 4%; $20,000 invested at 10% C. $30,000 invested at 4%; $40,000 invested at 10% D. $40,000 invested at 4%; $30,000 invested at 10%
Simplify the expression. Use positive exponents. Assume variables represent nonzero real numbers.
A.
B.
C. t-7
D. t2