Last summer, betty earned $4200 by painting houses. she invested some of the money in a savings account that paid 3.5%/year and the rest in a government bond that paid 4.5%/year. after one year, she has earned $174 in interest. how much did she invest at each rate? use elimination. show all steps

x*(1.035) + (4,200-x)*(1.045) = 4,374.00

1.035x + 4,389.00 -1.045x = 4,374.00

15.00  = .01x

x = 1,500  so x (or 1,500) invested at 3.5% and

(4,200 - 1,500) (or 2,700) invested at 4.5%

answer: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b