Solve the problem.The half-life of a certain radioactive substance is 40 years. Suppose that at time 
there are 28 g of the substance. Then after t years, the number of grams of the substance remaining will be N(t) = 28(1/2)t/40. How many grams of the substance will remain after 100 years?
A. 4.95 g
B. 0.62 g
C. 1.24 g
D. 2.47 g
Answer: A
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Simplify the expression by combining like terms.
z2 - 9z2 - 10z2
A. 21z4
B. 21z2
C. 
z2
D. 
z4
Formulate but do not solve the following exercise as a linear programming problem.
Madison Finance has a total of $15 million earmarked for homeowner and auto loans. On the average, homeowner loans
have a 10% annual rate of return, whereas auto loans yield a 11% annual rate of return. Management has also stipulated that the total amount in dollars of homeowner loans should be greater than or equal to nine times the total amount in dollars of automobile loans. Determine the total amount of loans of each type Madison should extend to each category in order to maximize its returns.
Write using radical notation. Then, simplify, if possible.1000-7/3
A. -10,000,000
B. 
C. Cannot be simplified
D. - 
Solve the system by graphing.x = -yy + x = 6
A. (1, 1) B. No solution C. (1, 5) D. Infinitely many solutions