Larry Mitchell invested part of his $29,000 advance at 3% annual simple interest and the rest at 4% annual simple interest. If his total yearly interest from both accounts was $950, find the amount invested at each rate. The amount invested at 3% is $ The amount invested at 4% is $
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- A person invested $6100 for 1 year, part at 6%, part at 10%, and the remainder at 15%. The total annual income from these investments was $726. The amount of money invested at 15% was $300 more than the amounts invested at 6% and 10% combined. Find the amount invested at each rate.A person invested $6700 for one year, part at 8%, part at 10%, and the remainder at 12%. The total annual income from these investments was $716. The amount of money invested at 12% was $300 more than the amount invested at 8% and 10% combined. Find the amount invested at each rate.A person invested 56900 for 1 year, part at 5%, part at 11%, and the remainder at 13%. The total annual income from these investments was $749. The amount of money invested at 13% was $500 more than the amounts invested at 5% and 11% combined. Find the amount invested at each rate The person invested $( ) at 5%, $ ( ) at 11% and $ ( ) at 13%
- The annual returns on Sid Carrington's three investments amounted to $17,490: 5% on a savings account, 8% on mutual funds, and 12% on bonds. The amount of Sid's investment in bonds was twice the amount of his investment in the savings account, and the interest earned from his investment in bonds was equal to the dividends he received from his investment in mutual funds. Find how much money he placed in each type of investment. (Let x, y, and z denote the amount, in dollars, in savings, mutual funds, and bonds, respectively.) ___?___ = 17,490 ___?___= 2x ___?___= 0.08yYou have $50,000 and wish to invest part at 10% and the rest at 6%. How much should be invested at each rate to produce the same return as if it all had been invested at 9%?You are thinking of combining the first three supplements in the previous table to obtain a 10-day supply that gives you the maximum possible amount of creatine, but no more than 1,000 milligrams of alpha lipoic acid and 225 grams of carbohydrates. How many servings of each supplement should you combine to meet your specifications, and how much creatine will you get?
- Suppose Chad has $5000 to invest. If he invests $3000 at 5% interest, at what rate must he invest the remaining $2000 so that the two investments yield at least $300 in yearly interest?A recent college graduate has job offers for a sales position in two computer firms. Job A pays $50,000 per year plus 10% commission. Job B pays only $40,000 per year, but the commission rate is 20%. How much yearly business must the salesman do for the second job to be more lucrative?Jack invests $1500 at a certain annual intrest rate, and he invests another $3000 at an annual rate that is one-half percent higher. If he recieves a total of $330 intrest in one year, at what rate is the $1500 invested.
- Your donut shop has perfected a method for the perfect glazed icing by slowly mixing whole milk to confectioner’s sugar while exposed to low heat. Your mixing tank starts with 10 fluid ounces of milk and 10 ounces of sugar. You continue adding sugar at a rate of 8 ounces per minute and milk at 2 ounces per minute, as depicted by the two equations below: Where S represents the number of ounces of sugar, M represents the ounces of milk, and t represents the time in minutes. Assessment Instructions Show and explain all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted using the equation editor. Part 1: Create a rational equation to represent the concentration (C) in ounces of sugar per ounce of milk. Part 2: Find the domain of the concentration equation. Part 3: Will we ever encounter a time where the rational equation is undefined? Explain your reasoning. Part 4: Calculate the concentration after five minutes. Part 5: How long…You invest in bonds yielding an interest rate of 2.2 percent, utility stock yielding an interest rate of 4.1 percent, and a bank certificate yielding an interest rate of 7.75 percent. The total interest earned in all three accounts in one year was $5,232.80 dollars. The amount allocated to the bonds was 200 less than the amount allocated to the bank certificate, and the amount allocated to the utility stock was 4 times the amount allocated to the bonds. What was the total amount of money the person had to invest?The total amount invested was $A man invests $3100 in three accounts that pay 5%, 6%, and 8% in annual interest, respectively. He has 3 times as much invested at 8% than he does at 5%. If his total interest for the year is $216, how much is invested at each rate? He invested ______ at 5%, ______ at 6%, and _______ at 8%