Determine whether the argument is valid or invalid.If the pond contains algae, then the pond does not contain trout.If the pond does not contain algae and does not contain trout, then the pond does not contain frogs.The pond contains algae. Therefore, the pond contains frogs.
A. Invalid
B. Valid
Answer: A
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Solve the problem.Sarah plans to contribute monthly to a savings account for her daughter's college education. Her goal is $300,000 in 20 years. Assume the APR is 5.4% compounded monthly and contributions are made monthly at the end of each month, including the last month. What amount does Sarah need to contribute each month? Round your answer to the nearest cent.
A. $642.81 B. $756.95 C. $696.75 D. $688.66 E. $459.57
Provide an appropriate response.Use a calculator to find: log 81 Round to thousandths.
Fill in the blank(s) with the appropriate word(s).
Find the unit tangent vector of the given curve.r(t) = (8t cos t - 8 sin t)j + (8t sin t + 8 cos t)k
A. T(t) = - 
(sin t)j + 
(cos t)k
B. T(t) = (-sin t)j + (cos t)k
C. T(t) = (8 cos t)j - (8 sin t)k
D. T(t) = (-8 sin t)j + (8 cos t)k
Compute AB, if possible.A = 
and B = 
A. 
B. 
C. 
D. 