Simplify. Assume that no denominator is equal to zero.
Find the first five terms of the sequence in which a1 = –10 and an = 4an – 1 + 7, if n ≥ 2.
Simplify the expression.
·
Simplify the expression.
10
+ 7
Solve the equation of exponential decay.
The population of a city was 572,000 in 2010. In the 2000 census the population was 607,000. What was the rate of decrease of the population from one census to the next? Round to the nearest percent.
Simplify: 811/4.
Simplify. Assume that no denominator is equal to zero.
Write an equation for the nth term of the sequence 4, 12, 36, 108, …
Simplify the expression.
9
(8
+ 9
)
Simplify. Assume that no denominator is equal to zero.
Simplify the expression.
10
+ 5
– 8
– 3
Simplify. Assume that no denominator is equal to zero.
Simplify: .
Solve the equation of exponential decay.
The population of a city is expected to be 440,000 in 2020. This is a decline of 12% from 2010 to 2020. Assuming this continued what would the population of the city be in 2040? Round to the nearest ten thousand.
Simplify the expression.
Find the first five terms of the sequence in which a1 = 6 and an = –3an – 1 – 12, if n ≥ 2.
Determine whether the data in the table display exponential behavior. Explain why or why not.
x |
3 |
2 |
1 |
–1 |
y |
8 |
2 |
0.5 |
0.125 |
Solve the equation of exponential decay.
A car sells for $25,000. If the rate of depreciation is 15%, what is the value of the car after 7 years? Round to the nearest hundred.
Simplify. Assume that no denominator is equal to zero.
Simplify. Assume that no denominator is equal to zero.
(
a
5
b
3)(
a
3
b
5)