CPhill

Definitely NOT linear.....!!!

Exponential  with a growth factor of  40.95 / 31.50   = 1.3

A is correct

V_pyramid =  [area of the base] * [height] / 3  =  [ 23m^2] * [12m] / 3  =  23 * 4  = 92 m^3

The nth Fibonacci number is given by :

F(n)  = [ Phi^n  - [-phi]^n ]  / √ 5 

Where  Phi  =  [  1 + √5] / 2

And phi  =  2 / [ 1 + √5 ]

We can find the annual growth rate as follows :

(1.025)^60  = ( 1+r)^30     taking logs and simplifying, we hace

60 log 1.025  = 30 log (1 + r)

2log (1.025)  = log ( 1 + r)

This says  that

10^[2log(1.025)] = r + 1

10^[2log (1.025) ] - 1  = r   = about   .0506  = about 5.06%

Thus, B must be the correct answer

Volume of the basketball =

4/3 * pi * (.39ft)^3  = about.248 ft^3

So  the weight =

.248ft^3  * 62.4lbs/ft^3   = about 15.5 lbs

Nice job, Spawn   .....   your answer is correct.....

Thanks, Rarinstraw......!!!!  [ It really wasn't that difficult.....]

The volume increases by the cube of the scale factor.....therefore, the new volume is

64 * (5)^3   = 8000 m^3

This makes sense....each dimension before  = 4m   and [4m ]^3  = 64 m^3

Each dimension now is 5 times as much = 20m  and [20m]^3   = 8000 m^3

1=(x+sqrt(x+2))/x   multiply both sides by x

x = x + sqrt(x + 2)   subtract x from both sides

0 = sqrt(x + 2)

So, obviously, x = -2

Fast Track cost =  79.75 +  1972(.20) = $474.15

Cheap Track cost = 149.50 + 1972(.15)  = $445.30

D is correct