Economics Questions from Nov 28,2024

Browse the Economics Q&A Archive for Nov 28,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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1. Briefly provide the definition of an economic model giving appropriate examples \[ \text { a) State the uses of an economic model } \] b) Distinguish between economic statics and economic dynamics 2. Discuss the link between opportunity cost, scarcity and choice 3. Discuss the term ceteris paribus as used in economics 4. The following economic functions have been derived by the finance manager of Kenya Coffee LTD; \[ \mathrm{Q}_{\mathrm{a}}=3 \mathrm{P}^{2}-4 \mathrm{P} \] a. Which of the two functions could represent a demand curve? A supply curve? And why? b. At what values of price and quantity is the market in equilibrium? Bei einer Geldanlage werden die jährlich anfallenden Zinserträge direkt wieder angelegt und in den folgenden Jahren mitverzinst. Ein Startkapital von \( 10000 € \) wurde zu \( 5 \% \) angelegt. K(t) sei das Kapital nach t Jahren. a) Berechne das Kapital 1, 2, 3, 4, 5,10 und 20 Jahren. b) Stelle den Verlauf des Kapitalwachstums für einen Zeitraum von 20 Jahren in ein durch einen Graphen dar. c) Stelle eine Funktionsgleichung auf, mit der sich das Kapital K(t) nach t Jahren berechnen lässt. d) Nach wie vielen Jahren hat sich das Kapital verdoppelt? e) Die obige Formel gilt für einen Zinssatz von \( p=5 \% \). Welche Formel ergibt sich für den Zinssatz \( p=6 \%, 7 \% \), usw.? Stelle eine Formel auf, mit der sich das Kapital K(t) nach t Jahren in Abhängigkeit vom Zinssatz p berechnen lässt. La función exponencial se puede usar para modelar situaciones financieras. Por ejemplo, si se quiere invertir un monto \( M \) en una cuenta que paga un interés \( k \) veces al año, a una tasa anual de \( i \), el capital \( C \) que se tendrá a un periodo de tiempo \( t \) viene dado por: \( C(t)=M\left(\frac{i}{k}+1\right)^{k t} \). Un cliente le cuenta al asesor de un banco que desea invertir 50.000 us en su banco el cual paga el \( 8 \% \) anual y en este caso los dividendos se deben re invertir cuatrimestralmente. ¿Cuánto dinero tendrá el cliente desipués de 12 años? 7. El precio actual de un departamento es P pesos. Se proyecta que cada año el precio aumentará \( 3 \% \) respecto del precio del año anterior. Si se cumple la proyección, ¿qué expresión representa el precio, en pesos, de ese departamento en 5 años más? 24. Max invests \( R x \) in an account that pays interest at \( 8.5 \% \) per annum compounded yearly. After three years, he deposits a further \( R 8200 \) in the account. After 8 years, the amount in the account is \( R 24813.91 \). The value of \( x \) is closest to: 24. Max invests \( R x \) in an account that pays interest at \( 8.5 \% \) per annum compounded yearly. After three years, he deposits a further \( R 8200 \) in the account. After 8 years, the amount in the account is R 24813.91 . The value of \( x \) is closest to: 24. Max invests \( R x \) in an account that pays interest at \( 8.5 \% \) per annum compounded yearly. After three years, he deposits a further \( R 8200 \) in the account. After 8 years, the amount in the account is R 24813.91 . The value of \( x \) is closest to: If Ezekiel bought A bag for Keesha at the price of P200, But had a discount of 23\%; what is the new price of the bag? 23. After how many years will an investment triple in value if the interest earned is \( 6.5 \% \) per annum, compounded yearly? After how many years will an investment triple in value if the interest earned is \( 6.5 \% \) per annum, compounded yearly?
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