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Use logarithms to solve the problem.
Find the interest rate needed for an investment of $3600 to double in 6 yr if interest is compounded continuously. (Round your answer to two decimal places.)
Find the condition that the curve y = mx + c to be a tangent to the parabola y^2 = 4 ax and also determine the point of contact.
measure of angle of elevation of the top of a cliff is 25. on walking 100m towards the cliff measure of angle of elevation of the top is 45. find the height of the cilff.
fixed axis has an angular position given by theta = 3.0 - 2.0t3, where theta is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s?
A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of digits is permitted.
Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment. Find the probability that exactly 3 boys will be selected.
We can use the Pythagorean theorem to solve problems that involve right triangles. Provide an example of a day-to-day situation that involves right triangles and the use of the theorem.
Define f(x) = x if x is rational and f(x)=0 if x is irrational. Compute the integration 1top0bottom f dx and integration 1top0bottom f dx. is f integrable on [0,1]?
Juan's first-grade class received 73 half-pint cartons of milk to distribute evenly to his 28 students. How many cartons were left over?
a bank gives you a loan of 1000 now. You have to make a payment of 500 after 9 months and a payment of 600 after 12 months. What is effective annual interest rate?(set up equation for B(beta)
Describe how to apply the result (c) to minimizing the cost constructing a power transmission cable tat costs c1 dollars per mile under water and c2 dollars per mile over land.
Mrs.perrin,the school music teacher,spent twice as much money on sheet music as she did on cds. The total amount of money that she spent for sheet music and cds was one third of her monthly music budget of $189. How much money did Mrs.perrin spend..
Probability and Pascal's Triangle, Describe a real-life situation where Pascal's Triangle can be used to calculate probability
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