Fundamentals
Growth or decay?
1/2(3x)
Growth
54 = 625
log5(625) = 4
Solve for x
52x = 5x+1
x = 1
Why was Greenland named as such?
Greenland is called Greenland because of a clever trick employed by Erik the Red, a Norse explorer, who was exiled from Iceland. He named the island "Grœnland" (Greenland) in Old Norse, hoping that the pleasant name would attract settlers to the land, despite it being mostly covered in ice and snow
What does the r stand for in an=a1rn-1
common ratio
State the domain and range of the function:
f(x)=3(4)x - 6
D: ARN
R: y>-6
What is the base of log(x)
10
Solve for x
496x + 1 = 343
x = 1/12
In what year was the first Apple iPhone released?
2007
Find the indicated term:
a1=5
r=2
n=7
320
State growth or decay:
y = 3(.85)x
decay
Evaluate
log25616= ?
1/2
Solve for x
2(5)3x+10-1=11
x = -3
What is Mr. Aurelia's favorite sport and TV show?
Baseball and Dr. Who
pts also for hockey, the office, parks and rec, big bang
Name every professional Football, Baseball, and Basketball and Hockey team from the state of New York.
New York Giants
New York Jets
Buffalo Bills
New York Mets
New York Yankees
Brooklyn Nets
New York Knicks
NY Rangers
NI Islanders
You start off with an account that has $32,000 and an annual interest rate of 5%. How much money will you have after 3 years if the account compounds daily? Round to the nearest cent.
$37,178.31
Determine the end behavior of the function:
m(x) = log1/2(x)
as x -> 0, m(x) -> infinity
as x -> infinity, m(x) -> negative infinity
Solve for x:
ln(x+5)=3
x=15.09
Name 3 Italian Brainrot characters
Ans will vary
Find the sum of the geometric series for which
a1=15
r=2/3
n=5
1055/27 or 39.074...
Your house appreciates in value at a rate of 5% per year, compounded continuously. You bought it for $245,000.Write an eq to represent this situation where time, t, is in months.
y = 245,000e^(12(.05)/12)t
State the domain, range and eq of asymptote:
g(x) = 2log4(x-5)+69
D: [5, in]
R: All reals
Asyp: x = 5
Solve for x
log(3x) - log(x+8) = 0
x = 4
What is the name for a group of porcupines?
A prickle
What is the next term in the geometric sequence:
10, 5/2, 5/8, 5/32, ...
5/128