1. Tom wants to invest $8,000 in a retirement fund that guarantees a return

of 6.45% annually using monthly compounded interest. Determine how

many years (round to hundredths) will it take for her investment to double.

O

a. 10.78 years

O

b. 12.39 years

O

c. 21.52 years

O

d. 7.69 years

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.

answer:

at time x=0 we have 1000, at time x=1 we have 2000, at time x=2 we have 4000.  

so that's an initial value of 1000 and a ratio of 2,

y = 1000 (2^x)

hope this !