Gradients Problem: A textile company must import a bunch of goods from China to Colombia...

Juanes2001

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A textile company must import a bunch of goods from China to Colombia within the next days. Therefore, the Chief Financial Officer asked a local bank to finance an amount of money equivalent to 65% of the total the foreign trade and she was offered a 72 months funding structure with monthly payments starting at $7.500.000 and decreasing by $75.000 per period and an interest rate equivalent to 2.5% nominal quarterly. However, the local bank also asked for extra payments during the last month of each year starting at $6.000.000 and increasing by $500.000. On the other hand, to cover the remaining 35% of the foreign trade, the CFO decided to use money she gathered on a savings account by making uniform quarterly payments during the last four and a half years. That savings account recognized an interest rate equivalent to 0.45% E.M during the first two years and another one equivalent to 4.75% N.Q during the rest of the time:
  • How much did the bank lend to the company?
  • How much did the business collect on their savings account?
  • How much were the quarterly payments made into the savings account?
 
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A textile company must import a bunch of goods from China to Colombia within the next days. Therefore, the Chief Financial Officer asked a local bank to finance an amount of money equivalent to 65% of the total the foreign trade and she was offered a 72 months funding structure with monthly payments starting at $7.500.000 and decreasing by $75.000 per period and an interest rate equivalent to 2.5% nominal quarterly. However, the local bank also asked for extra payments during the last month of each year starting at $6.000.000 and increasing by $500.000. On the other hand, to cover the remaining 35% of the foreign trade, the CFO decided to use money she gathered on a savings account by making uniform quarterly payments during the last four and a half years. That savings account recognized an interest rate equivalent to 0.45% E.M during the first two years and another one equivalent to 4.75% N.Q during the rest of the time:
  • How much did the bank lend to the company?
  • How much did the business collect on their savings account?
  • How much were the quarterly payments made into the savings account?
Does

$7.500.000 = $75 * 105
 
Does

$7.500.000 = $75 * 105

In all of your cases, do not use a period/dot to offset groups of three digits. Use a comma instead. So, seven million, five hundred thousand dollars may be written as $7,500,000.

$7,500,000 = $75*105.
 
Does $7.500.000 = $75 * 10^5
Yes. Each time we multiply a positive Whole number by 10, we write a zero at the end.

75 × 10^1 = 750
75 × 10^2 = 7500
75 × 10^3 = 75000
75 × 10^4 = 750000
75 × 10^5 = 7500000

Are you trying to help Juanes2001, or did you post here because you're working on the same exercise? ?
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A textile company must import a bunch of goods from China to Colombia within the next days. Therefore, the Chief Financial Officer asked a local bank to finance an amount of money equivalent to 65% of the total the foreign trade and she was offered a 72 months funding structure with monthly payments starting at $7.500.000 and decreasing by $75.000 per period and an interest rate equivalent to 2.5% nominal quarterly. However, the local bank also asked for extra payments during the last month of each year starting at $6.000.000 and increasing by $500.000. On the other hand, to cover the remaining 35% of the foreign trade, the CFO decided to use money she gathered on a savings account by making uniform quarterly payments during the last four and a half years. That savings account recognized an interest rate equivalent to 0.45% E.M during the first two years and another one equivalent to 4.75% N.Q during the rest of the time:
  • How much did the bank lend to the company?
  • How much did the business collect on their savings account?
  • How much were the quarterly payments made into the savings account?
You haven't yet responded to #2, which implicitly asked you to show what you understand of the problem, and where you need help -- that is, to show whatever you have tried. Please do so.

The discussion so far is irrelevant to your actual question. We understand that you are using the period as the thousands separator, which is fine -- except that you seem to be inconsistent, using the period instead as a decimal separator in percentages. This is confusing, but it is easy to determine what you mean.

What is not easy to determine is what help you need! You will probably not get help until you answer that question.
 
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