An account, compounded annually, earns 0.9% interest. This is the interest rate of an account, compounded continuously, that yields the same balance.
What is 0.896%?
100
What 161/4 simplifies to
What is 2?
100
What log 0.1 simplifies to...
What is -1?
100
A population increased from 30,820 to 34,600 over a five year period at a constant annual percent growth rate. This is the CONTINUOUS annual growth rate for this population.
What is 2.3%
100
It's the value of x in the equation log(x - 5) = 2
What is 105?
200
Given an account compounded continuously at a rate of 1.45% and an account compounded annually at a rate of 1.5%, this is the better account.
What is the account compounded annually at a rate of 1.5%?
200
What 165/2 simplifies to
What is 1024?
200
The value of log (101/2)
What is 1/2?
200
If radioactive Carbon-14 has a half-life of 5730 years, this is the number of years it takes for a mere 10% to remain.
What is 19,030 years?
200
It's the value of x in the equation 6e(x+3)=8
What is -2.712?
300
You deposit $10,000 in an account that earns 1.25% and is compounded monthly. This is the number of years it will have to remain in the account before reaching $11,800.
What is 13.25 years?
300
What 25-3/2 simplifies to
What is 1/125?
300
The value of eln2
What is 2?
300
Oil is leaking from a tank at a rate of 4% per hour. If there were 250 gallons initially, this is the percent left in the tank after 10 hours.
What is 66.483%
300
It's the value of x in the equation 0.088 = 0.01t/2
What is 1.0555?
400
You deposit $4000 into an account that earns 6% interest, compounded annually. A friend deposits $3500 into an account that earns 5.95% interest, compounded continuously. This is how many years it will take for your friend's balance to equal yours.
What is 108.5 years?
400
What (1/27)-1/3 simplifies to
What is 3?
400
The value of log (log 10)
What is 0?
400
The population of bacteria "m" has an initial population of 200 and doubles every 24 hours. The population of bacteria "n" has an initial population of 180 and grows by 3% per hour. The is the number of hours it takes for the two populations to be the same.
What is 150.4 hours?
400
It's the value of x in the equation 2/7 = 0.62t
What is 1.226?
500
An account compounded weekly has an initial deposit of $1200. Two and a half years later, the account has a balance of $1267. This is the interest rate that would yield that balance.
What is 2.17%?
500
What is (0.125)1/3 simplifies to
What is 1/2?
500
The value of (log 100)1/2 - log (100)1/2
What is (2)1/2 - 1
500
2 mg of a drug is injected into a person's bloodstream. The quantity diminishes at a continuous rate of 4% per hour. The person gets an additional injection each time the level of the drug in his body diminishes to 0.25 mg. This is the number of hours before he will receive his third injection.
What is 104.7 hours?
500
It's the value(s) of x in the equation log2(x+3) + log2(x-4) = 3