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Compute the specified quantity. Round all answers to the nearest month, the nearest cent, or the nearest \(0.001 \%\), as appropriate. Simple Loans You take out a 6 -month, \(\$ 5,000\) loan at \(8 \%\) simple interest. How much would you owe at the end of the 6 months?

Short Answer

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The total amount owed at the end of the 6 months would be $5,400.
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Step 1: Write down the given information

We are given the following information: - Principal amount (P): $5,000 - Simple Interest rate (r): 8% (or 0.08 in decimal form) - Time period (t): 6 months Note that we need to convert the time period in years.

Step 2: Convert the time period to years

To convert the time period from months to years, we simply divide the given period (6 months) by the total number of months in a year (12 months). t (in years) = \(\frac{6}{12}\) t = 0.5 years

Step 3: Calculate the simple interest using the formula

To calculate the simple interest, we will use the formula: Simple Interest (SI) = P * r * t where P, r, and t are defined as mentioned in step 1. SI = \(5,000 * 0.08 * 0.5\) SI = \(400\) So, the simple interest after 6 months is $400.

Step 4: Calculate the total amount owed

To find out how much would be owed at the end of the 6 months, we will add the simple interest calculated in step 3 to the principal amount. Total Amount = Principal Amount + Simple Interest Total Amount = \(5,000 + 400\) Total Amount = $5,400 After 6 months, a total of $5,400 would be owed.

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Most popular questions from this chapter

Chapter 5

Six years ago, I invested some money in Dracubunny Toy Co. stock, acting on the advice of a "friend." As things turned out, the value of the stock decreased by \(5 \%\) every 4 months, and I discovered yesterday (to my horror) that my investment was worth only $$\$ 297.91.$$ How much did I originally invest?

Chapter 5

Kara and Michael take out a \(\$ 120,000\), 30 -year, \(10 \%\) mortgage. After 3 years they refinance the remaining principal with a 15 year, \(6.5 \%\) loan. What were their original monthly payments? What is their new monthly payment? How much did they save in interest over the course of the loan by refinancing?

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You can choose between two investments that mature at different times in the future. If you knew the rate of inflation, how would you decide which is the better investment?

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Are based on the following table, which shows the 2008 annual inflation rates in several Latin American countries. \({ }^{13}\) Assume that the rates shown continue indefinitely. $$\begin{array}{|l|c|c|c|c|c|c|c|} \hline \text { Country } & \text { Argentina } & \text { Brazil } & \text { Bolivia } & \text { Nicaragua } & \text { Venezuela } & \text { Mexico } & \text { Uruguay } \\ \hline \text { Currency } & \text { Peso } & \text { Real } & \text { Boliviano } & \begin{array}{c} \text { Gold } \\ \text { cordoba } \end{array} & \text { Bolivar } & \text { Peso } & \text { Peso } \\ \hline \begin{array}{l} \text { Inflation } \\ \text { Rate (\%) } \end{array} & 9.2 & 6.3 & 15.1 & 13.8 & 25.7 & 5.0 & 8.5 \\ \hline \end{array}$$ Which is the better investment: an investment in Argentina yielding \(10 \%\) per year, compounded annually, or an investment in Uruguay, yielding \(9 \%\) per year, compounded every 6 months? Support your answer with figures that show the future value of an investment of one unit of currency in con- stant units.

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