Question 295777
u need to find the 2 equations so u can solve
"Andy deposited a total of $2100 in two accounts, a savings account and an investment account." meaning {{{S+I=2100}}} s=money in Savings account I=money in investment account
"The savings account yields interest at an annual rate of 5%, and the investment
account yields interest at the annual rate of 6.5%. The total interest after one year was $123." this says that {{{.05S+.065I=123}}} this is because 5% of S is .05S and 6.5% of I is .065I and the combined total interest is 123.
so now that we have the 2 equations we can substitute and solve
{{{S+I=2100}}}or {{{S=2100-I}}}
{{{.05S+.065I=123}}} substitute the S
{{{.05(2100-I)+.065I=123}}}distribute
{{{105-.05I+.065I=123}}}add like terms
{{{105+.015I=123}}}subtract 105
{{{.015I=18}}}divide by .015
{{{highlight(I=1200)}}}
input I into first equation to solve for S
{{{S=2100-I}}}
{{{S=2100-1200}}}
{{{highlight(S=900)}}}
check answer with secound equation
{{{.05(900)+.065(1200)=123}}} imput values for S and I and solve
{{{45+78=123}}}
{{{123=123}}}
CORRECT