Algebra B Chapter 7 review 1

A $60,000 piece of machinery depreciates in value at a rate of 11% per year. About what will its value be in 5 years?

$33,504

Bonus: Simplify (3^n+1)(3^2n) ^4

(3 x 2n ^7)

Solve 3 ^x+2 = 81

2

Find the next three terms in each geometric sequence. 648, -216, 72...?

-24, 8, -2.666667

Evaluate (7 x 10 ^8)(2.4 x 10^-4)

1.68 x 10^5

What is the ninth term of the geometric sequence 3, 9, 27...?

19,683

Express 0.000024 in scientific notation

2.4 x 10^-5

If y=10(2.5)^t represents the number of bacteria in a culture at a time, how many will there be at time t=6?

2441

A circle has a radius of 5x^2. Find the area.

25x^4 Pi

A chess tournament starts with 16 people competing. the exponential function y=16(1/2)^x describes how many people are remaining in the tournament after x rounds. How many people are left in the tournament after 2 rounds?

4

Evaluate 16 3/4

8

Determine whether each sequence is arithmetic, geometric, or neither. 1, 2, 4, 8, .....?

Geometric x2

Simplify a^7/a^4

a^3

Which is the equation for the nth term of the geometric sequence -2, 8, -32...?

an= -2 times (-4) ^n-1

Simplify (b^4)^3 (exponents)

b^12

Simplify m^5r^2/m^2r^3

m^3/r (r is under the fraction)

Write an equation for the nth term of the geometric sequence -2, 10, -50... Find the eleventh term of this sequence.

n=-2(-5) ^11-1

Simplify y^5 x y^3

y^8