Larry has an annual return of $213 from $3000 invested at simple interest, some at 5% and the rest at 8%. how much is invested at each rate?

There are two equations to express this problem. 1) expresses the total amount invested and 2) expresses the proportions of the amounts invested and how they relate to the interest earned . . .

1) x + y = 3000
2) 0.08x + 0.05y = 213

* from the first equation:

x + y = 3000

y = 3000 - x

*substitute this into the second equation

0.08x + 0.05(3000 - x) = 213

* solve for x

0.08x + 150 - 0.05x = 213

(0.08 - 0.05)x + 150 = 213

(0.03)x = 213 - 150

0.03x = 63

x = 63/0.03 = 2100

* now just substituting in for x the known value

y = 3000 - x = 3000 - 2100 = 900

This means:

$2100 was invested at 8% simple interest
$900 was invested at 5% simple interest

The academic affairs council is the highest expert body processing academic affairs, as stipulated by the university statutes. specialist aaro häkkinen (educational policy) took part in the council’s meeting. the agenda of the meeting included bachelors’ feedback, the timing of pedagogical studies, the grant system for tuition fees, the standardisation of administrative practices for internships and the situation of foreign-language and multilingual master’s programmes.