You are considering investing $1,000 at an interest rate of 6.5% compounded annually for five years or investing the $1,000 at 6.8% per year simple interest for five years. Whic option is better? The future value of Option 1 (6.5% compounded annually) is $ (Round to the nearest dollar.) The future value of Option 2 (simple interest of 6.8% per year) is $ (Round to the nearest dollar.) Select the correct choice from the drop-down menu below. (1) is better. (1) O Option 1 O Option 2
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where
Initial Investment = $1000
Rate = 6.8%
Time = 5
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- A person is looking to invest $100,000 in hopes of getting the highest return possible. There are 4 investment options available: bonds, mutual funds, stocks, or a saving account yielding interest. The bonds give a 3% annual return, mutual funds give an 8% return, stocks give a 10% return, and the savings account gives a 2% return (all investments subject to risk). To control for risk, several constraints are put into place: 1. No more than 15% of the total investment can be put into stocks. 2. At least 40% must be invested in mutual funds and/or the savings account. 3. The amount put in the savings account must be no more than the amount put into the other investments combined. 4. The ratio of money invested in bonds and mutual fund to the amount in stocks and the savings account should be at least 1.2 to 1. 5. All $100,000 must be invested and no shorting is allowed (It means there will be no “borrowed” money”) Formulate a linear programming model for this problem to get the highest…[Very Hard] Suppose, you are working in a company ‘X’ where your job is to calculate the profit based on their investment. If the company invests 100,000 USD or less, their profit will be based on 75,000 USD as first 25,000 USD goes to set up the business in the first place. For the first 100,000 USD, the profit margin is low: 4.5%. Therefore, for every 100 dollar they spend, they get a profit of 4.5 dollar. For an investment greater than 100,000 USD, for the first 100,000 USD (actually on 75,000 USD as 25,000 is the setup cost), the profit margin is 4.5% where for the rest, it goes up to 8%. For example, if they invest 250,000 USD, they will get an 8% profit for the 150,000 USD. In addition, from the rest 100,000 USD, 25,000 is the setup cost and there will be a 4.5% profit on the rest 75,000. Investment will always be greater or equal to 25,000 and multiple of 100. Complete the RECURSIVE methods below that take an array of integers (investments) and an iterator (always…You have two columns, say Age group in column A and purchase in column B. If either Age group is kid or senior citizen and purchase is more that INR 15000 the purchaser gets 10% discount otherwise only 2% discount shall be given. Which of the following formula is correct? a. if(AND((A1="Kid" OR A1="Senior Citizen"),B1>15000), "12%", "2%") b. if((A1="Kid" AND A1="Senior Citizen") OR B1>15000, 12%, 2%) c. if(AND(OR(A1="Kid",A1="Senior Citizen"),B1>15000), "12%", "2%") d. None of these
- Which of the following statements are true given A* (admissibility and consistency of heuristics ] ? The heuristic function h[n] is called admissible if h[n] is never larger than h*[n], namely h[n] is always less or equal to true cheapest cost from n to the goal. If the heuristic function, h always underestimates the true cost [h[n] is smaller than h*[n]), then A* is guaranteed to find an optimal solution. When h is inconsistent, it can not be admissible. If h is consistent and h[goal)=0 then h is admissible A* is complete and optimal5. A farmer in Georgia must decide which crop to plant next year on his land: corn, peanuts, or soybeans. The return from each crop will be determined by whether a new trade bill with Russia passes the Senate. The profit the farmer will realize from each crop, given the two possible results on the trade bill, is shown in the following payoff table: Course Professor Fulton Ray Scott Crop Trade Bill Pass Fail Corn Peanuts Soybeans $35,000 $ 8,000 18,000 12,000 22,000 20,000 Determine the best crop to plant, using the following decision criteria. a. Maximax b. Maximin c. Minimax regret d. Hurwicz (a = .3) e. Equal likelihoodJavier was the winner of the lottery and decided to invest $50,000 USD in the Stock Market. HeYou plan to buy shares in a mining company (M) and a forestry company (F). AlthoughA long-term goal is to obtain the maximum possible benefits, it has not left aside thehigh risk involved in purchasing shares. A risk is assigned from 1 to 10 (with 10 as theriskier) to each of the two actions. The total risk is found by multiplying therisk of each stock for the dollars invested in it. The investor would like to maximize the estimated return on the investment, but the indexThe average risk of this should not be more than 6 of the total invested ($50,000 USD).Additionally, you cannot invest more than $30,000 USD in the forestry company.A) Formulate the problem using the Simplex method, and find the optimal solution. Do it in python using the scipy library.
- What is the future worth (in Year 10) of $23,000 deposited at the end of Year 3 plus $28,000 deposited at the end of Year 5, and $20,000 deposited at the end of Year 8 at an interest rate of 5% per year?Imagine playing a number guessing game. A side is a number from 0 to Nhe's holding it, and the other side is trying to find that number by taking turns guessing. Number-holding side estimatehe has to offer one of the following three options in response to the party that did it:1-Your guess is correct, you found the number I kept (Game Over).2-Your estimate is wrong, but you are closer to the correct estimate than the previous estimate.3-the wrong estimate and the correct estimate are further away than the previous estimate.To find the estimated number in an environment where all the information is these, astrategy will be followed: Make a prediction (N/2) from the exact middle of N with 1 Begin:Find out the answer to your guess. [answer=answer_ogren (guess)]If the answer is equal to 1, the game is over, you can leave.If the answer is equal to 2, you are going in the right direction, keep the forecast direction;If you're heading for small numbers, the new N is now N/2.Make a guess…Suppose, you are working in a company ‘X’ where your job is to calculate the profit based on their investment.If the company invests 100,000 USD or less, their profit will be based on 75,000 USD as first 25,000 USD goes to set up the business in the first place. For the first 100,000 USD, the profit margin is low: 4.5%. Therefore, for every 100 dollar they spend, they get a profitof 4.5 dollar.For an investment greater than 100,000 USD, for the first 100,000 USD (actually on 75,000 USD as 25,000 is the setup cost), the profit margin is 4.5% where for the rest, it goes up to 8%. For example, if they invest 250,000 USD, they will get an 8% profit for the 150,000 USD. In addition, from the rest 100,000 USD, 25,000 is the setup cost and there will be a 4.5% profit on the rest 75,000. Investment will always be greater or equal to 25,000 and multiple of 100.Complete the RECURSIVE methods below that take an array of integers (investments)and an iterator (always sets to ZERO(‘0’) when the…