An investor has a certain number of units of a new currency whose price is fluctuating...

An investor has a certain number of units of a new currency whose price is fluctuating periodically. The number of units that the investor holds, N(x), as a function of time x in days is given by: N(x) = 2x π + 5 The price of each unit, P(x), as a function of time x in days is given by: P(x) = sin x 2 + 1 The total value of the investment, T(x), as a function of time x in days is given by the number of units × the price of each unit: T(x) = N(x) · P(x) a) Find the total value of the investment at x = 5π 2 days. b) Find the derivative of T(x). c) What is the instantaneous rate of change of the total value of the investment at x = 5π 2 days?

Solutions

Expert Solution

milcah answered 1 year ago

Next > < Previous

Related Solutions

Newberry, Inc., whose reporting currency is the U.S. dollar ($), has a subsidiary in Argentina, whose...

Newberry, Inc., whose reporting currency is the U.S. dollar ($), has a subsidiary in Argentina, whose functional currency also is the $. The subsidiary acquires inventory on credit on November 1, 2017, for 180,000 pesos that is sold on January 17, 2018, for 214,000 pesos. The subsidiary pays for the inventory on January 31, 2018. Currency exchange rates are as follows: November 1, 2017 $ 0.64 = 1 peso December 31, 2017 0.65 = 1 January 17, 2018 0.66 =...

Purchasing power parity refers to: the number of units of foreign currency a dollar will buy....

Purchasing power parity refers to: the number of units of foreign currency a dollar will buy. the amount of foreign assets the United States is buying. the amount of U.S. assets a foreign country is buying. the nominal exchange rate for which a market basket would cost the same in each country. 12. Scenario: Gizmovia The Republic of Gizmovia wants to maintain the exchange rate of its currency, the gizmo, at $0.50, but the current exchange rate for the gizmo...

Given an investor in Europe, with a EUR denominated portfolio base currency, that has invested in...

Given an investor in Europe, with a EUR denominated portfolio base currency, that has invested in a USD denominated corporate bond issued by a firm in Japan, identify the types of risk exposures to the investor. Would there by any additional/changed exposures if the issuing firm had a poor credit rating? Why or why not?

Crescent Textile Company has purchased a new generator whose market price is $15,000 but after a...

Crescent Textile Company has purchased a new generator whose market price is $15,000 but after a (10) lot of negotiations the sellers agreed to offer it at $11,000 cash and a trade-in of company’s old generator whose book value is $2,000. An additional $1,500 were spent on transportation and installation of the generator at site. The expected useful life of the generator is 8 years, after which the salvage value is estimated to be $800. Develop a table for the...

The quantity demanded of a certain electronic device is 1000 units when the price is $665....

The quantity demanded of a certain electronic device is 1000 units when the price is $665. At a unit price of $640, demand increases to 1200 units. The manufacturer will not market any of the device at a price of $90 or less. However for each $50 increase in price above $100, the manufacturer will market an additional 1000 units. Assume that both the supply equation and the demand equation are linear. (a) Find the supply equation. (b) Find the...

Maria is an investor and over the years has acquired and disposed of a number of...

Maria is an investor and over the years has acquired and disposed of a number of assets. She has kept records of all these transactions. During the year ended 30 June 2020, Maria disposed of several assets. As a result of these disposals, she made a number of capital gains and losses: Profit on sale of trading stock $15000 Loss on Disposal of motor vehicle $(5000) Gain on Disposal of vacant block of land (acquired 1/9/19) $17000 Gain on...

How can you determine the number of units necessary to attain a certain level of profit?...

How can you determine the number of units necessary to attain a certain level of profit? How can you determine total sales at the break even point? Give 3 ways of stating break even: (relating items from the contribution income statement)

For the cost and price functions below, find (a) the number, q, of units that produces...

For the cost and price functions below, find (a) the number, q, of units that produces maximum profit; (b) the price, p, in dollars per unit that produces maximum profit; and (c) the maximum profit, P, in dollars. C(q)=100+20qe^-0.01q ; p=60e^-0.01q (a) The number, q, of units that produces maximum profit is $__ (Do not round until the final answer. Then round to the nearest whole number as needed.) (b) The price, p, per unit that produces maximum profit is...

A currency futures price is currently $1.90 and has a volatility of 20%. The domestic and...

A currency futures price is currently $1.90 and has a volatility of 20%. The domestic and foreign risk-free interest rates are 6% and 3%, respectively. Use a two-step binomial tree to derive a) the value of a three-month European call option on the currency futures with a strike price of $1.91, and b) the currency futures position which will hedge a short position in the European call option today.

An investor has a certain amount of money available to invest now. Three alternative investments are...

An investor has a certain amount of money available to invest now. Three alternative investments are available. The estimated profits ($) of each investment under each economic condition are indicated in the following payoff table: INVESTMENT SELECTION EVENT A B C Economy declines 500 -2000 -7000 No change 1000 2000 -1000 Economy expands 2000 5000 20000 Based on his own past experience, the investor assigns the following probabilities to each economic condition: P (Economy declines) = 0.30 P (No change)...

Subjects