Mr. Jackson borrowed money from his bank and on his life insurance to start a business. His interest rate on the bank loan was 10%, and his rate on the insurance loan was 12%. If the total amount borrowed was $100,000 and his total yearly interest payment was $11,400, how much did he borrow from the bank?
?
A. He borrowed $70,000 from the bank.
B. He borrowed $7,200 from the bank.
C. He borrowed $41,400 from the bank.
D. He borrowed $58600 from the bank.
E. He borrowed $30,000 from the bank.
Answer: E
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Find all the local maxima, local minima, and saddle points of the function.
A. f(0, 0) = -671, saddle point; f(5, 6) = 0, saddle point; f(5, -6) = 0, saddle point; f(-5, 6) = 0, saddle point; f(-5, -6) = 0, saddle point B. f(0, 6) = 625, local maximum; f(0, -6) = 625, local maximum; f(5, 0) = -1296, local minimum; f(-5, 0) = -1296, local minimum C. f(0, 0) = -671, saddle point; f(0, 6) = 625, local maximum; f(5, 0) = -1296, local minimum D. f(0, 0) = -671, saddle point; f(0, 6) = 625, local maximum; f(0, -6) = 625, local maximum; f(5, 0) = -1296, local minimum; f(5, 6) = 0, saddle point; f(5, -6) = 0, saddle point; f(-5, 0) = -1296, local minimum; f(-5, 6) = 0, saddle point; f(-5, -6) = 0, saddle point
Find the distance between points P1 and P2.P1(4, 4, -2) and P2(10, 1, -4)
A. 6
B.
C. 5
D. 7
Add or subtract as indicated. +
A.
B. 4x + 8
C.
D.
For the pair of functions, find the indicated sum, difference, product, or quotient.Let f(x) = 4x2 - 4 and g(x) = x - 2. Find (f - g)(4).
A. 54 B. 66 C. -64 D. 58