Chapter 5.6, Problem 12P

Name: Date: Bell: Unit 11: Volume & Surface Area Homework 2: Area of Sectors Directions: Find the area of each shaded sector. Round to the hundredths place. 1. GH 11 in 2. KL 20 ft H F 64 G L 119 M K 3. BA 6.5 cm 4. YZ 14.2 m B 23 X 87° Y Z 5. KL = 27.1 mm J 32 L X:360-32.1 K A-3 360 7. BD 18 cm E 136 B X=32.8 127.0 (271) A: 069.13 Amm² 19=2102.13 A-136 360.16912 A:300cm² A=96.13 6. PQ = 2.8 in P R 311° 8. WZ 5.3 km V = Z 108 W D 9. HK = 25 ft G H KO 26 X 10. SR 26 m = S 73 T R Gina Wilson (All Things Algeb

Harrison and Sherrie are making decisions about their bank accounts. Harrison wants to deposit $200 as a principal amount, with an interest of 2% compounded quarterly. Sherrie wants to deposit $200 as the principal amount, with an interest of 4% compounded monthly. Explain which method results in more money after 2 years. Show all work.   Please type out answer

Mike is working on solving the exponential equation 37x = 12; however, he is not quite sure where to start. Solve the equation and use complete sentences to describe the steps to solve. Hint: Use the change of base formula: log y = log y log b

Using logarithmic properties, what is the solution to log3(y + 5) + log36 = log366? Show all necessary steps.

4.2 Comparing Linear and Exponential Change 7) Money is added to (and never removed from) two different savings accounts (Account A and Account B) at the start of each month according to different mathematical rules. Each savings account had $500 in it last month and has $540 in it this month. (a) Assume the money in Account A is growing linearly: How much money will be in the account next month? How much money was in the account two months ago? How long will it take for the account to have at least $2500? Write an equation relating the amount of money in the account and the number of months from now. Clearly define the meaning of each variable in your equation, and interpret the meaning of each constant in your equation. (b) Assume the money in Account B is growing exponentially. How much money will be in the account next month? How much money was in the account two months ago? How long will it take for the account to have at least $2500? Write an equation relating the amount of money…

Which of the following is the solution to the equation 25(z − 2) = 125? - Oz = 5.5 Oz = 3.5 Oz = -2.5 z = -0.5

Analyze the graph below to identify the key features of the logarithmic function. 2 0 2 6 8 10 12 2 The x-intercept is y = 7, and the graph approaches a vertical asymptote at y = 6. The x-intercept is x = 7, and the graph approaches a vertical asymptote at x = 6. The x-intercept is y = -7, and the graph approaches a vertical asymptote at y = −6. The x-intercept is x = -7, and the graph approaches a vertical asymptote at x = −6.

Compare the graphs below of the logarithmic functions. Write the equation to represent g(x). 2 f(x) = log(x) 2 g(x) -6 -4 -2 ° 2 0 4 6 8 -2 - 4 g(x) = log(x) - g(x) = log(x) + 4 g(x) = log(x+4) g(x) = log(x-4) -2 -4 -6

Which of the following represents the graph of f(x)=3x-2? 3 2 • 6 3 2 0- 0- • 3 2 0 -2 3