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To get the necessary funds for a planned expansion, a small company took out three loans totaling $27,000. Company owners were able to get interest
To get the necessary funds for a planned expansion, a small company took out three loans totaling $27,000. Company owners were able to get interest rates of 5%,6%, and 7%. They borrowed $1000mo at 6% than they borrowed at 7%. The total annual interest on the loans was $1570. Answer parts (a) through (d). The company borroweds at 5%,5 at 6%, ands at 7%. (b) Suppose we drop the condition that they borrowed $1000 more at 6% than they borrowed at 7%. What can you say about the amount borrowed at 7% ? What is the solution if the amount borrowed at 7% is $6000 ? What can you say about the amount borrowed at 7% ? A. The amount borrowed at 7% must be less than or equal to $11,000. B. The amount borrowed at 7% must be greater than or equal to $11,000. C. The amount borrowed at 7% must be greater than or eqal to $5000. D. The amount borrowed at 7% must be less than or equal to 55000 . What is the solution if the amount borrowed at 7% is 56000 ? If the amount borrowed at 7% is $6000, then the amount borrowed at 5% is $ and the amount borrowed at 6% is $ (c) Suppose the bank sets a maximum of $10,000 at the lowest interest rate of 5%. Is a solution possible that still meets all of the original conditions? Choose the correct answer, and if necessary, fill in the blank with the correct answer. A. Yes. The amount borrowed at 5% is \$ the amount borrowed at 6% is $ and the amount borrowed at 7% is \$ B. No, there is no solution possible that still meets all of the original conditions. (d) Explain why $10,000 at 5%,$9000 at 6%, and 8000 at 7% is not a feasible solution for part (c). A. The total amount in loans adds up to $22,000, which is not $27.000. B. The total interest would be $1580, which is not $1570. C. The total interest would be $1600, which is not $1570 D. The total amount in loans adds up to $28.000, which is not $27,000
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