document.write( "Question 1187467: You are considering two jobs offers. Company A will start you at $ 120,000 annually and guarantee a raise of $ 24,000 per year. Company B will start you at a higher salary. $ 168,000 annually, but will only guarantee a raise of $ 12,000 per year. Find the total salary that each company will pay you over ten-year period. Which company pays the greater total amount? Graph the data. \n" ); document.write( "
Algebra.Com's Answer #818500 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! total salary is finding the sum of an arithmetic series where S=(n/2)(2a+(n-1)d)), a is $120000 for A and d is $24000. Sum is (5)(240000+(9*24000))=$2,280,000 . \n" ); document.write( "there is always brute force \n" ); document.write( "year 1=120000 (120 thousands) \n" ); document.write( "144 \n" ); document.write( "168 \n" ); document.write( "192 \n" ); document.write( "216 \n" ); document.write( "240 \n" ); document.write( "264 \n" ); document.write( "288 \n" ); document.write( "312 \n" ); document.write( "336 \n" ); document.write( "=$2280 thousands \n" ); document.write( "y=120000+24000x or 120+24x for ease of graphing\r \n" ); document.write( "\n" ); document.write( "the seance is a=168, n=10, d=12 for S=(5)(336+9*12))=$2220 \n" ); document.write( "Company A pays more. \n" ); document.write( "y=168+12x \n" ); document.write( " \n" ); document.write( "Can look at intersection point at what seems to be x=4 \n" ); document.write( "set the two equal so 120+24x=168+12x \n" ); document.write( "12x=48 \n" ); document.write( "x=4 years. This is often asked for but not in this problem. \n" ); document.write( " \n" ); document.write( " |