Solve.When interest is compounded continuously, the balance in an account after t years is given by 
, where P0 is the initial investment and k is the interest rate. Suppose that P0 is invested in a savings account where interest is compounded continuously at 8% per year. Express P(t) in terms of P0 and 0.08.
A. P(t) = P0e0.08
B. P(t) = P0e0.08t
C. P(t) = P0e8t
D. P(t) = P0e0.8t
Answer: B
Mathematics
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Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = i - 4j,
w = 3i + j
A.
v1 = -  i -  j, v2 =  i -  j |
B. v1 = -
i - 
j, v2 = - 
i - 
jC. v1 = -
i - 
j, v2 = 
i - 
jD. v1 = -
i - 
j, v2 = 
i - 
j
Mathematics
Solve the problem.Find the minimum value of f = 2x + 4y subject to the following constraints. x + 2y ? 10 3x + y ? 10 x ? 0 y ? 0
A. Minimum of 10 B. Minimum of 0 C. Minimum of 20 D. Minimum of 30
Mathematics
Rationalize the denominator. Assume variables represent non-negative values.
A. 3y
B. 
C. 
D. 
Mathematics
Solve the equation by the method of your choice. Simplify irrational solutions, if possible.2x2 = -8x - 1
A. 
B. 
C. 
D. 
Mathematics