Economics Questions from Dec 15,2024

Browse the Economics Q&A Archive for Dec 15,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Lisa McNeil needs to choose between two investments: One pays \( 14.7 \% \) compounded continuously, and the other pays \( 15 \% \) compounded quarterly. If she plans to invest \( \$ 10,000 \) for 2 years, which investment should she choose? How much extra interest will she earn by makong the better choice? She should choose the (Round to the nearest cent as needed.) Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to produce one T-shirt is \( \$ 2.50 \). Her total cost to produce 60 T-shirts is \( \$ 230 \), and she sells them for \( \$ 8 \) each. a. Find the linear cost function for Joanne's T-shirt production. b. How many T-shirts must she produce and sell in order to break even? c. How many T-shirts must she produce and sell to make a profit of \( \$ 900 \) ? a. The linear cost function is \( \mathrm{C}(\mathrm{x})=\square \). b. Joanne must produce and sell \( \square \) T-shirts in order to break even. c. Joanne must produce and sell \( \square \) T-shirts to make a profit of \( \$ 900 \). Question 13 If the price level in the U.S. is 120, the price level in Mexico is 128, and the real exchange rate is 20.26 pesos (Mexico's currency) per dollar, what is the nominal exchange rate from the U.S. perspective? Please round to two decimal places and do not include the "pesos per dollar". For example, if your answer was 5.675 pesos per dollar, you would only enter 5.68 . If the price level in the US is 122 , the price level in Mexico is 127 , and the nominal exchange rate is 22.89 pesos (Mexico's currency) per dollar, what is the real exchange rate from the U.S. perspective? Please round to two decimal places and do not include the "pesos per dollar". For example, your answer was 5.675 pesos per dollar, you would only enter 5.68 . In a particular state and for a particular year, the income tax rates for a single person were as follows. A \( 3 \% \) tax of the first \( \$ 8100 \) earned, \( 3.75 \% \) of the next \( \$ 3300 \) earned, \( 4.25 \% \) of the next \( \$ 2250 \) earned, \( 5.9 \% \) of the next \( \$ 7300 \) earned, \( 6.45 \% \) of the next \( \$ 56,500 \) earned, \( 6.65 \% \) of the next \( \$ 128,600 \) earned, \( 6.85 \% \) of the next \( \$ 823,200 \) earned, and \( 8.86 \% \) of any amount earned over \( \$ 1,029,250 \). Let \( f(x) \) represent the amount of tax owed on an income of x dollars. Answer parts (a) through ( \( f \) ) below and in parts (a) through (d) explain in a sentence what the answer means. (e) Find the domain and range of \( f(x) \). The domain is \( \square \) and the range is \( \square \). (Type your answers in interval notation.) In a particular state and for a particular year, the income tax rates for a single person were as follows. A \( 3 \% \) tax of the first \( \$ 8100 \) earned, \( 3.75 \% \) of the next \( \$ 3300 \) earned, \( 4.25 \% \) of the next \( \$ 2250 \) earned, \( 5.9 \% \) of the next \( \$ 7300 \) earned, \( 6.45 \% \) of the next \( \$ 56,500 \) earned, \( 6.65 \% \) of the next \( \$ 128,600 \) earned, \( 6.85 \% \) of the next \( \$ 823,200 \) earned, and \( 8.86 \% \) of any amount earned over \( \$ 1,029,250 \). Let \( f(x) \) represent the amount of tax owed on an income of \( x \) dollars. Answer parts (a) through ( \( ) \) below and in parts (a) through (d) explain in a sentence what the answer means. (d) \( f(50,000)=\square \) This means a tax of \( \$ \square \) was due on an income of \( \$ 50,000 \). (Type integers or decimals rounded to the nearest hundredth as needed. Do not inciude the \( \$ \) symbol in your answers.) In a particular state and for a particular year, the income tax rates for a single person were as follows. A \( 3 \% \) tax of the first \( \$ 8100 \) earned, \( 3.75 \% \) of the next \( \$ 3300 \) earned, \( 4.25 \% \) of the next \( \$ 2250 \) earned, \( 5.9 \% \) of the next \( \$ 7300 \) earned, \( 6.45 \% \) of the next \( \$ 56,500 \) earned, \( 6.65 \% \) of the next \( \$ 128,600 \) earned, \( 6.85 \% \) of the next \( \$ 823,200 \) earned, and \( 8.86 \% \) of any amount earned over \( \$ 1,029,250 \). Let \( f(x) \) represent the amount of tax owed on an income of \( x \) dollars. Answer parts (a) through ( \( f \) ) below and in parts (a) through (d) explain in a sentence what the answer means. (c) \( f(18,000)=\square \) This means a tax of \( \$ \square \) was due on an income of \( \$ \square \). (Type integers or decimals rounded to the nearest hundredth as needed. Do not include the \( \$ \) symbol in your answers.) \( 1 \leftarrow \quad \begin{array}{l}\text { In a particular state and for a particular year, the income tax rates for a single person were as follows. A } \\ 3 \% \text { tax of the first } \$ 8100 \text { earned, } 3.75 \% \text { of the next } \$ 3300 \text { earned, } 4.25 \% \text { of the next } \$ 2250 \text { earned, } \\ 5.9 \% \text { of the next } \$ 7300 \text { earned, } 6.45 \% \text { of the next } \$ 56,500 \text { earned, } 6.65 \% \text { of the next } \$ 128,600 \text { earned, } \\ 6.85 \% \text { of the next } \$ 823,200 \text { earned, and } 8.86 \% \text { of any amount earned over } \$ 1,029,250 \text {. Let } f(x) \\ \text { represent the amount of tax owed on an income of } x \text { dollars. Answer parts (a) through (f) below and in } \\ \text { parts (a) through (d) explain in a sentence what the answer means. } \\ \text { (a) } f(10,000)=\square \\ \text { This means a tax of } \$ \square \text { was due on an income of } \$ \square \text {. } \\ \text { (Type integers or decimals rounded to the nearest hundredth as needed. Do not include the } \$ \text { symbol in } \\ \text { your answers.) }\end{array} \). 12. (2 points) The unit price \( p \) is given with the equation \( p(x)=10-x \) where \( x \) is the demand quantity for this product. The fixed production cost is 10 kn and the variable cost is 3 kn per product unit. Determine all the values of \( x \) for which the profit is positive. 63. Zero-Coupon Bonds A zero-coupon bond can be redeemed in 20 years for \( \$ 10,000 \). How much should you be willing to pay for it now if you want a return of: (a) \( 5 \% \) compounded monthly? (b) \( 5 \% \) compounded continuously?
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