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1) An Art dealer sold two artworks for $1520 thereby making a profit of 25% on the first work and 10% profit on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25% on the other artwork. Find the actual cost of each artwork.
2) A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, six girls couldn't turn up, so the professor had to make some changes in the group. He admitted six boys. In doing so, the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in the project initially.
3) Jane invested some amount at the rate of 12% simple interest and some other amount at the rate of 10% simple interest. She received yearly interest of $130. Randy also invested in the same scheme, but her interchanged the amounts invested, and received $4 more as interest. How much amount did each of them invest at different rates.
What three variables are negatively related to competence
Many free software mathematics packages on the Internet will solve a system of equations given the coefficients in the system.
Calculate the value of the sample test statistic
Show that if f:A->R is Lipschitz then it is uniformly continuous on A. Is the converse statement true? Are all uniformly continuous functions necessarily Lipschitz?
Hypothesis test for two differences between means
Solve the equation on the interval.
Determine Probability Distribution, In a certain carnival game a player pays $1 and then tosses a fair coin until either a "head" occurs or he has tossed the coin four times.
Determine if the following chemical equation is a kinetically paced reaction: 4NO + 4NH3 + O2 = N2 + 6H2O In other words, is there a kinetic rate equation that can be presented simply that defines the pace of the above reaction
Claire sells packets of sunflower seeds for $0.95 each and packets of morning glory seeds for $1.43 each. She decides to offer a 16-packet spring-garden combination, combining both types of seeds at $1.10 per packet.
Adding 4 fractions. The denominators are: 3a, 24b, 7a, and 25b. What is the LCD?
Find the true mean completion time of the task
Dotties Tax Service specializes in federal tax returns for professional clients, such as physicians, dentists, accountants, and lawyers. A recent audit by the IRS of the returns she prepared indicated that an error was made on 13 percent of the re..
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