Eric made two investments: Investment \text{Q}Qstart text, Q, end text has a value of \$500$500dollar sign, 500 at the end of the first year and increases by \$45$45dollar sign, 45 per year.
Investment \text{R}Rstart text, R, end text has a value of \$400$400dollar sign, 400 at the end of the first year and increases by 10\%10%10, percent per year.
Eric checks the value of his investments once a year, at the end of the year.
What is the first year in which Eric sees that investment \text{R}Rstart text, R, end text's value exceeded investment \text{Q}Qstart text, Q, end text's value?

!robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! v!robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery! !robbery!

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

answer: 7

step-by-step explanation: