When she graduates college linda will owe 43,000 in student loans. the interest rate on the federal liana is 4.5 % and the rate on the private is 2%. the total interest she owes for one year was 1,585. what is the amount of each loan

federal loan amount = $29,000

private loan amount = $14,000

Step-by-step explanation:

Total amount is 43000

Let amount in federal be f

and

amount in private be 43,000 - f

Interest rate at federal is 0.045

Interest rate at private is 0.02

THus, we can form the equation shown below and solve:

f(0.045) + (43,000 - f)(0.02) = 1585

0.045f +860 - 0.02f = 1585

0.025f = 725

f = 29,000

and on private = 43,000 - 29,000 = 14,000

Hence

federal loan amount = $29,000

private loan amount = $14,000

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.