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

The amount of loan from federal is 29,000 and amount of loan from private bank is (43,000 - 29,000) = 14,000

Step-by-step explanation:

Data provided:

Total amount owed by Linda = 43,000

Interest rate on the federal loans = 4.5%

Interest rate on the private bank loans = 2%

Total interest  = 1,585

let the amount loaned by federal loans be 'A'

Therefore,

The amount loaned by private bank = 43,000 - A

Now,

4.5% of A + 2% of (43,000 - A) = 1,585

or

0.045A + 0.02(43,000 - A) = 1,585

or

0.045A + 0.02 × 43,000 - 0.02A = 1,585

or

0.025A + 860 = 1,585

or

0.025A = 1,585  - 860

or

0.025A = 725

or

A = 29,000

Hence,

The amount of loan from federal is 29,000 and amount of loan from private bank is (43,000 - 29,000) = 14,000

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: