Find the semester grade point average for a student that received the following grades. Round to the nearest hundredth.
CourseGradeCreditsMathematicsD1EnglishB2HistoryA2GeographyD1BiologyA1
A. 1
B. 1.4
C. 2.86
D. 0.2
Answer: C
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Answer the question.Consider a function f(x, y, z), where the independent variables are constrained to lie on the curve 
(t) = x(t)i + y(t)j + z(t)k. What mathematical fact forms the basis for the method of Lagrange multipliers?
A. f approaches a local extremum as ? ? 0.
B. ?f?
= 0
C. ?f??g = 0
D. ?g = 0
Find the APR (true annual interest rate), to the nearest half percent, for the following loan. Use the Annual Percentage Rate table if necessary.
Amount Financed = $6100Finance Charge = $470Number of Monthly Payments = 36
A. 6.5% B. 5.0% C. 5.5% D. 6.0%
Identify the multiplication model that best fits the problem. Do not solve the problem.Suppose there are 2 roads connecting town A to town B and 3 roads connecting town B to town C. In how many ways can a person travel from A to C via B?
A. Measurement model B. Cartesian product model C. Set model D. Array model
The management of UNICO Department Store decides to enclose an 
area outside their building to display potted plants. The enclosed area will be a rectangle, one side of which is provided by the external walls of the store. Two sides of the enclosure will be made of pine board, and the fourth side will be made of galvanized steel fencing material. If the pine board fencing costs $15/running foot and the steel fencing costs $5/running foot, determine
the dimensions of the enclosure that will cost the least to erect. Round your answers to two decimal places.
?
?
A. 14.31 ft by 84.68 ft
B. 12.13 ft by 86.86 ft
C. 14.14 ft by 84.85 ft
D. 15.68 ft by 83.31 ft