# Recent questions and answers in Mathematics

Colin invests £2900 into his bank account. He receives 3% per year compound interest. How much will Colin have after 4 years? Give your answer to the nearest penny where appropriate.
Two circles are concentric if they have the same center. On a coordinate plane, a circle has center (4, 6) and has a radius of 2 units. Which equation represents a circle that is concentric with the circle shown but has a radius that is twice as large? (x – 4)2 + (y – 6)2 = 4 (x – 4)2 + (y – 6)2 = 16 (x – 6)2 + (y – 4)2 = 16 (x – 6)2 + (y – 4)2 = 4
The height in feet of a baseball can be modeled by the function y = −16t2 + 64t, where t is the time in seconds after the ball is hit. Find the baseball's maximum height and the time it takes to reach this height. Then find how long the baseball is in the air.
rectangle and a parallelogram have the same base and the same height. Use the drop‐down menu to compare the areas of the two figures. The area of the rectangle is. (((((Here is were AB OR D GOES , so the answer goes here)))) the area of the parallelogram. Options. A:equal to B:Greater than C:Less than
A house has an electric heating system that consists of a 300-W fan and an electric resistance heating element placed in a duct. Air flows steadily through the duct at a rate of 0. 66 kg/s and experiences a temperature rise of 7°C. The rate of heat loss from the air in the duct is estimated to be 300 W. Determine the power rating of the electric resistance heating element. The constant pressure specific heat of air at room temperature is cp = 1. 005 kJ/kg·K
Juan and Matthew each have gardens. Juan's garden is 16 feet long and 12 feet wide. Matthew's garden is 18 feet long and 21 feet wide. Area is found by multiplying length and width. What is the total area of the two gardens?
The table show the value of a car as it relates to its age. A 2-column table with 5 rows. The first column is labeled age (years) with entries 0, 1, 2, 3, 4. The second column is labeled value (dollar sign) with entries 20,000; 18,000; 16,200; 14,580; 13,122. Which statements describe the value of the car as a function of x, its age in years? Check all that apply. The relationship is quadratic. The relationship is exponential. The domain is {x | x < 0}. The range is {V | 0 V 20,000}. The value, V, is represented by the equation V = 20,000(0.9)x.
Consider a chocolate manufacturing company that can produces two types of chocolate - A and B. Both the chocolates require Milk and Choco only. To manufacture each unit of A and B, the following quantities are required: • Each unit of A requires 1 unit of Milk and 2 units of Choco Each unit of B requires 2 unit of Milk and 1 units of Choco Currently, the milk price is 1\$/unit and the choco price is 1\$/unit. We can sell chocolate A for 10\$ and Chocolate B for 8\$. Assume we are planning for the next two years. The milk prices may go up 20% by probability of 40% and may go down 10% by probability of 60%. The choco prices may go up 30% by probability of 50% and may go down 20% by probability of 50%. The current demand for A is 1000 units per year. The demand is assumed to stay fix. We have limited budget. Lets calculate the profit we may get from producing any of these chocolates to decide about best option for the next two years (decide about to produce A or B?). The discount rate is k=0.1. Hint: assume we have period 0, 1, 2.
Write the expression that represents the number of dollars Fred keeps (and does not put in his savings account). Remember the order of operations. How much money does Fred keep?
What is an equation of the the line that passes through the point (-1,4) and is parallel to the line x+y=4
Write the standard equation of the circle with the center ​(-14​,-5​) that passes through the point ​(​-7,​5).
A population of 200 laboratory mice contains 120 white mice and 80 gray mice. Of the mice, 50 are male and 150 are female. If the events of selecting a male mouse and selecting a white mouse are independent, how many of the mice are white and male? Show your work.
Suppose A and B are independent events. The probability that event A will not occur is 0.1 and the probability that event B will occur is 0.7. Find P(A), P(not B) and P(A and B).
A teacher bought 12 sheets of stickers to use on the homework of her students. Each sheet had 48 stickers. At the end of the year, the teacher had 123 stickers remaining. Estimate how many stickers the teacher used.
Help! A teacher bought 12 sheets of stickers to use on the homework of her students. Each sheet had 48 stickers. At the end of the year, the teacher had 123 stickers remaining. Estimate how many stickers the teacher used.
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