If f(x)=2000(1+0.08/4)ˆ20, What is the principle investment amount, interest, times compounded, and years of the investment?
What is 2000, 8%, quarterly, and 5 years?
100
Suppose the number of bacteria present in a certain colony is given by Q(t)= 750eˆ(1.0897t). How big is the population initially?
What is 750?
100
Write the following as a single logarithm:
log(7x-1)+log(2x)
What is log(14xˆ(2)-2x)?
200
Solve the equation for x:log(base 5)(x+4)=log(base 5)(5x-7)
What is x=11/4?
200
Solve for x in: f(x)= 6ˆ(7-x)= 6ˆ(x+1)
What is x=3
200
Find the total amount of a $5000 investment at a rate of 5% that is compounded twice a year for 6 years
What is $6724.44
200
Suppose the number of bacteria present in a certain colony is given by Q(t)= 750eˆ(1.0897t). How big is the population after 3 hours? Round to 2 decimal places.
What is 19715.75?
200
Solve the following equation:
log(x-5)-log(x)=3log(2)
What is x=-5/7?
300
solve the equation: 1620=20(3)ˆt
What is t=4?
300
Find the domain of f(x)=√((xˆ2)eˆx+7xeˆx+12eˆx)
What is (-∞, -4]u[-3,∞)
300
What is the amount of investment after 10 years of an initial amount $6500 compounded monthly at a rate of 2%? What is the amount of investment at 3%?
What is $7937.80? What is $8770.80?
300
Suppose the number of bacteria present in a certain colony is given by Q(t)= 275eˆ(1.05761t). When will the size of the population reach 20,000? Round your answer to the nearest whole number.
What is 4 years?
300
Find the domain of the following function:
f(x)= (x-5)/(xˆ(2)+10x+16)
What is (-∞,-8)u(-8,-2)u(-2,∞)?
400
Solve the equation: 500=20eˆ(0.2t). Round to 2 decimal places.
What is 16.09?
400
Solve for x: f(x)= 9ˆ(3x)(1/27)ˆ(x-1)= 27(3ˆx)ˆ(-5)
What is x=1/4?
400
How many years did your friend invest $20,000 at a bank that has 3% interest compounded continuously with a final amount of $30,000 ?
What is 13.52 years?
400
Radioactive iodine 131I decays exponentially. A sample of 80mg of 131I decays to 25mg in 10 days. Find an exponential model that gives the amount of 131I present in the sample as a function of time t measured in days. Round to 6 decimal places
What is Q(t)= 80eˆ(-0.116315t)
400
Solve the following for t:
arccos(cos(17pi/10))
What is 3pi/10?
500
Find the solution to 6ˆ(3t-5)=17 to the nearest tenth.
What is 2.2?
500
Solve for x if f(x)=1024ˆ(x+1)(1/256)ˆ(3x-7)=4096(1/4096)ˆ(8x+1)
What is x=-33/55?
500
Suppose Jeremy invested $15,200 at a bank for 12 years that compounded their interest daily. How much interest did they compound his money for if after 12 years he had $22,000? Round your answer to the nearest whole number.
What is 3%
500
Johnny has a headache and takes tylenol that is 500mg, the pill is no longer effective when it gets to be less than or equal to 150mg. If in the half life of the pill is 3 hours, how long before Johnny has to take a new pill? Round to 2 decimal places