Nick can invest $10,000 in either one of two annuities, annuity a
has a 6% annual interest rate
and requires a starting principal
of $9,000, plus annual $100
deposits for the next 10 years.
annuity b has a 12% annual
interest rate and requires a
starting principal of $9,000,
plus annual $200 deposits for
the next 5 years.
what is the difference between
the final balances of the two
annuities?

an increase in taxes for the years

Step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

1010: 3030

is it i think