growth and decay
The population of a city is growing at a rate of 3% per year. If the current population is 10,000, what will the population be in 5 years?
11,592.74
f(x)= 6x-3, whats f(0)?
-3
What is the transformation of REFLECTED ACROSS THE X-AXIS using the base function y= (2)x
y= -(2)x
If you invest $1000 at an annual compound interest rate of 5%, how much will you have after 3 years?
$1157.63
3^2x-1 = 3x+2
x=3
The number of rabbits in a field triples every month. If there are initially 50 rabbits, how many will there be after 6 months?
50×36=50×729=36450
f(x) = 3x -7, whats F(2)?
=−1
What is the transformation of SHIFT 3 UNITS DOWN using the base function y= (2)x
y= (2)x -3
What is the continuous interest formula?
A= Pe^(rt)
5^3x-=25x+1
x=2
a sickness hits your school, with an initial 10 students coming to school sick. The number of sick students increases by 20% per hour. How many students will be sick in 4 hours
~ 20.736
= around 21 students
g(x)= 0.5(4)^x, whats g(-1)
What is the transformation of SHIFT 7 UNITS LEFT using the base function y= (2)x
y=(2)x+7
You invest $5000 at a continuous interest rate of 3% per year. How much will you have after 5 years?
$5764.13
2^2x=1/16
x=-2
A bacteria culture doubles in size every hour. If there are initially 100 bacteria, how many will there be after 5 hours?
100×25=100×32=
3200
f(x)=6x-3, whats f(1)?
What is the transformation of SHIFT 4 UNITS UP AND 2 UNITS RIGHT using the base function y= (2)x
y=(2)x-2 +4
f you want to have $10,000 in 8 years with a continuous interest rate of 4%, how much should you invest?
$6753.67
64^2x+4=16^5x
x=3
A medication in the bloodstream is metabolized at a rate of 20% per hour, but it is also replenished at a rate of 10% per hour. If there are initially 200 milligrams of the medication in the bloodstream, how much will remain after 4 hours?
200×(0.9)4≈
145.8 milligrams
f(x)=6x-3 and g(x)=0.5(4)^x, whats f(1) + g(2)
=11
What is the transformation of VERTICAL STRETCH BY SF OF 5, REFLECTED ACROSS THE X-AXIS AND 2 UNITS UP using the base function y=(2)x
y=-5(2)x+2
If you invest $2000 at a continuous interest rate of 6% and want to accumulate $3,000, how long will it take?
around 4.6 years to get $3,000
1/2^x=24^2x
x=0