Solve the problem.The formula A = P + Prt represents the value, A, of an investment of P dollars at a yearly simple interest rate, r, for t years. The equation to model the value, A, of an investment of $97 at 5.15% for t years is given by A = 97 + 5t. The equation to model the value, A, of an investment of $101 at 3.96% for t years is given by A = 101 + 4t. Assuming A has the same value, the given equations form a system of two linear equations. Solve this system using an algebraic approach and interpret your answer.
A. t = 5; The two investments will reach the same value in 5 years.
B. t = 400; The two investments will reach the same value in 400 years.
C. t = 4; The two investments will reach the same value in 4 years.
D. t = 8; The two investments will reach the same value in 8 years.
Answer: C
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Evaluate the permutation.
A. 495 B. 19,958,400 C. 3 D. 11,880
Solve the system, if possible.
?
?
A. 
B. 
C. 
D. 
E. no solution; inconsistent system
Convert the measure to its alternate U.S. or metric form. Write improper fractions as mixed numbers for U.S. measures and as decimals for metric measures.Convert 22
gallons to liters.
A. 84.5 liters B. 85.5 liters C. 81 liters D. 86 liters
Solve the problem.In a Psychology class, the students were tested at the end of the course on a final exam. Then they were retested with an equivalent test at subsequent time intervals. Their average scores after t months are given in the table.
Using a graphing utility, fit a logarithmic function y = a + b ln x to the data. Using the function you found, estimate how long will it take for the test scores to fall below 84%. Express your answer to the nearest month.
A. 12 months B. 8 months C. 10 months D. 20 months