Suppose a culture of 500 bacteria are put in a petri dish and the culture double very hour. How many bacteria will be left after ten hours ?
512000
100
A=Pe^rt
What is the continuously compounded interest formula.
100
Explain in terms of logarithmic function, how to write 7^2 = 49 as an equivalent statement involving a logarithm
What is log?7(49)
100
A=I(1/2)^t/h
What is the half-life formula.
200
3^5
What is 125
200
Without graphing, explain how the graph of g(x)=(4(2)^x+1)-7 compares to the graph of f(x) = 2^x.
What is a stretch by the factor of 4.
A shift 1 unit left.
A shift 7 units down.
200
A=P(1+r/n)^nt
What is the compound interest formula.
200
Explain in terms of a logarithmic function, how to write 2^3=8 as an equivalent statement involving a logarithm.
log2(8)=3
200
A(t)=a(1 plus or minus r)^t
What is the exponential growth and decay formula.
300
√245
What is 7√5
300
Without graphing, explain how the graph of g(x)=.5((3)^x-2)+9
What is a vertical shrink by a factor of .5
a shift right of 2 units
a shift up of 9 units
300
An amount of $1,500.00 is deposited in a bank paying an annual interest rate of 4%, compounded quarterly. What is the balance after 5 years?
What is 1,830.29
300
Write log3(81) as an exponential function
3^4 = 81
300
The half-life of Zn-71 is 2.4 minutes. If one had 45g at the beginning, how many grams would be left after 8 minutes has elapsed? Round to the nearest thousandth.
What is 4.465
400
4√((a^7)(b^9)(c^12))
What is (ab^2)(c^3)4√((a^3)(b))
400
f(x)=ab(^x plus or minus h) plus or minus k
What is the exponential function formula
400
How long would it take to triple your principle at an annual interest rate of 5% compounded continuously? Round to the hundredth.
What is 21.97
400
what is the common log of x
log(x)
400
The fifth root of 243
What is 3
500
√x-1=√x-9
What is x=25
500
A certain strain of bacteria that is growing on your kitchen counter doubles every 5 minutes. Assuming that you start with only one bacterium, how many bacteria could be present at the end of 96 minutes?
602248
500
Drew invests $50000 in an account that earns 6.8% compounded continuously. How much money will she have in her account after 26 years?
What is $292956.17
500
Explain in terns of a logarithmic function, how to write 11^4=14641 as an equivalent statement involving a logarithm.