Solve the following application problems. 6. The number of penguins on an iceberg is modeled by the equation P(t) = 24(1.231)', where t is years since 1998. If
the iceberg has a population of 70 penguins it will begin to sink and the penguins will have to find a new home. In
what year are the penguins going to find a new home?
Solution :
*13.29 hours
*6.32 hours
*9 minutes
*7754 years
*year 1993
*4.5 years old
*3.3 years - Year 2003
#15.72 years - Year 2003
# $11.051.71 and 13 years
*1584.89

48 / 6 = x

in this case, x will equal the amount of money in each card!

x therefore will be 8.

trent had $8 in each birthday card.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

"exterior angles = 360 / number of sides.

60 = 360 / sides

sides = 360 / 60

sides = 6"