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A woman owns a small, cash-only business in a state that requires her to charge 7% sales tax on each item she sells. At the beginning of the day, she has $280 in the cash register. At the end of the day, she has $1,778.00 in the register. How much money should she send to the state government for the sales tax she collected?
The surface area of the top surface of the water in a circular swimming pool is about 206 square feet. Estimate the radius of the pool, to the nearest foot.
A chemist has a 2000 gallon vat that contains 800 gallons of a solution that is 60% water and 40% acid. She is going to add x gallons of a 75% acid solution to the vat.
Find the equation of a parabola whose vertex is (0,0) and directrix is the line y=3. Find the vertex, focus, and directrix of (x-2)^2=12(y+1). Find the latus rectum and graph the parabola, making sure that all points and axis are labeled.
the resident population of south california (in thousands) was 3860 in 1997 and 4107 in 2002 .let t equal 7 represent 1997. write linear model for the population as afunction of time t.
A trough is 15 ft long and 4 ft across the top . Its ends are isosceles triangles with height 3 ft. Water runs into the trough at the rate of 2.5 ft3/min. How fast is the water level rising when it is 2.11 ft deep? Give your answer correct to 3 de..
The United States House of Representatives has 78 women representative with 59 being democrats and 19 being republicans. If a lobbyist for AARP randomly selects three different representatives to visit what is the probability
If the speed ( in m/sec ) of a particle moving on the x-axis at time t seconds (t>0) is given by: V(t)=t^3-8t^2+15t+10 estimate during what time period the speed of the particle is less than 10m/sec.
Calculation involving a change in blood pH. Although the pH of human blood is normally between pH 7.3-7.5, certain situations can take place which bring about "acidosis." Acidosis is defined as an abnormal lowering in the blood pH
Construct an explicit deformation retraction of the torus with one point deleted onto a graph consisting of two circles intersecting in a point, namely, longitude and meridian circles of the torus.
Each unit produced costs the company $8.00, and is sold for $10.00. How much will the company gain or lose in a month if they stock the expected number of units demanded, but sell 2000 units?
find the midpoint of the midsegment of the trapezoid if A=(4r, 4s), B=(4t, 4s) and C=(4u, 0)
the graph of the circle of the equation below is a circle. What is the length of the radius of the circle?
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