Unit Test — Cumulative exam Answers

An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use a calculator and round your answer to the nearest whole number.

The formula relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth. What is the length of a pendulum that makes one full swing in 2.2 seconds? Use 3.14 for .

What is the following product?

Which expression is equivalent to ?

Which of the following shows the extraneous solution to the logarithmic equation below?

Which expressions are equivalent to ?

Which expression has the same value as –y–4?

A scientist writes the equation to model the growth of a certain bacteria in a petri dish, where N represents the number of bacteria after h hours. After approximately how many hours will 450 bacteria be present? Round your answer to the nearest whole number.

What values of c and d make the equation true? Assume and

The mean sustained wind velocity, v, can be determined by the equation , where p is the air pressure, in millibars, at the center of the hurricane. What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second?

Which recursive formula describes the sequence below?5, 13, 29, 61, 125, ...

If y is a positive integer, for how many different values of y is a whole number?

A student showed the steps below while solving the equation by graphing.Step 1:Write a system of equations: Step 2: Use the change of base formula to rewrite the equations:Step 3:Graph the two equations:Step 4:Identify the x-value at the point of intersection:In which step did the student make the first error?

A row operation is performed on a matrix as shown below.What is the value of x?

Miranda is conducting a poll to determine how many students would attend a students-only school dance if one was held. Which sample is most likely to yield a representative sample for the poll?

The matrix below represents a system of equations.Which of the following describes the solution to this system of equations?

What is the following sum?

A researcher wants to survey people from different age groups to analyze voting patterns. Which type of survey will best accomplish this goal?

A sequence can be defined by the explicit formula . Which recursive formula represents the same sequence of numbers?

If A, B, and C represent three matrices of the same size and (A + B) + C = 0, then which statement is true?