A bank loaned out $8,500, part of it at the rate of 14% annual interest, and the rest at 5% annual interest. The total interest earned for both loans was $785.00. How much was loaned at each rate? $ was ;oaned at 14% and $ was loaned at 5%

$4,000 was invested at 14% per year, while $ 4,500 was invested at 5% per year.

Step-by-step explanation:

Given that a bank loaned out $ 8,500, part of it at the rate of 14% annual interest, and the rest at 5% annual interest, and the total interest earned for both loans was $ 785.00, to determine how much was loaned at each rate you must perform the following calculation:

8,500 x 0.14 + 0 x 0.05 = 1,190

6,500 x 0.14 + 2,000 x 0.05 = 1,010

4,500 x 0.14 + 4,000 x 0.05 = 830

4,000 x 0.14 + 4,500 x 0.05 = 785

Thus, $ 4,000 was invested at 14% per year, while $ 4,500 was invested at 5% per year.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

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step-by-step explanation: