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The perimeter of a rectangle is 170 meters. Express the area A as a function of the length L, and state the domain of this function.
350 million test are expected to be sold this year. this represents 114% increase from last year. how many test were sold last year?
You decide to enroll in a plan that gives you a 10% discount if you make telephone calls 7pm - 6am. The per minute charge is $0.10 and the sales tax is 6%. On the first month's bill you used the phone for 130 minutes 6am - 7pm and then 400 minutes..
If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank.
Evaluate formulae for the coefficients -Hint: Use the linear transformation
A bag contains 10 red, 12 green, and 8 yellow marbles. Assuming that all marbles are equally likely to be picked from the bag
Integrate the integral below using the partial fractions method. (S represents the sign for integration) S x^3 + 4 / (x^2 - 1)(x^2 + 3x + 2) dx
The equation of tangent line.
Kelly Fisher has a total of $30,000 invested in two municipal bonds that have yields of 8% and 10% interest per year, respectively. If the interest Kelly receives from the bonds in a year is $2640, how much does she have invested in each bond?
A box with a square base of side x is three times higher than it is wide. Express the volume V of the box as a function of x.
The problem that I'm having is that there is a nonconstant factor of (x^2+y^2+z^2)^(-1/2) appearing on the RHS of this equation, making it non-trivial to solve.
Answer the following: Assume you have a choice between two annuity contracts. Contract A pays $5,000 per year for 5 years starting one year from today. Contract B pays $5,000 per year for 5 years starting today. The discount rate for each is 6%. W..
So, it is desirable to design a system with a variable rate of rotation and a constant rate of movement of the scanning beam along the hallway. Find a model for the variable rate of rotation if |dx/dt| = 2 feet per second.
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