Algebra II - Unit 5 Review

Which geometric series diverges?

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Which fraction represents the decimal 0.8888...?

• $\frac{80}{99}$

• $\frac{1,111}{1,250}$

• $\frac{8}{9}$

• $\frac{9}{8}$

A savings account pays 2% interest compounded annually. If $1,200 is deposited initially and again at the first of each year, how much money will be in the account three years after the initial deposit?

• $1,248.48

• $2,472.48

• $3,672.48

• $3,745.93

A bungee jumper falls 97.2 feet before bouncing back up at the end of his bungee cord. Then he falls 64.8 feet before bouncing up again. On his third descent, he falls 43.2 feet before going back up. What is the total distance the bungee jumper drops after five falls if the distances continue in this pattern? (Do not include the distance traveled up.)

• 234.0 ft

• 253.2 ft

• 789.8 ft

• 1,281.8 ft

What is the solution to $\log_48x\ =\ 3$   ?

•  $x=\frac{3}{8}$  

•  $x=\frac{3}{2}$  

•  $x=2$  

•  $x=8$  

What is the solution of 

 $$\ln\left(x\ +\ 6\right)\ -\ \ln\ 9\ =\ 2? 

  Round your answer to the nearest hundredth.

• x = 53.50

• x = 60.50

• x = 66.50

• x = 72.50

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.

• 5 years

• 7 years

• 19 years

• 22 years

A scientist writes the equation $N\left(h\right)\ =\ 100e^{0.25h}$ 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.

• 1 hour

• 6 hours

• 13 hours

• 15 hours

Which of the following shows the graph of y = ln(-2x)?

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What is the range of the function y = e^x +1 graphed below?

• y > 0

• y < 0

• y < 1

• y > 1