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Assume the population of beetles in the certain area is decreasing at the rate of 1.2% annually. If population today is 438,000, find the population after six years?
Predatory prey cycle: the population P of a predator species is given. Provide maximum, minimum, period, frequency, amplitude and center values for every function.
After n rounds how many M&Ms his sister has? How many boy has? On nth round, how many M&Ms does boy provide his sister? how many he takes himself?
Annual deposits of $3000 are made into the bank account earning 5% interest per year. What is balance in account right after 15th deposit if interest is computed continuously?
For ploynomial, write every real zero and its multiplicity. Compute whether the graph crosses or touches x-axis at each x-intercept.
Determine rule in terms of x for function V(x) which gives amount (ie the volume) of packing material needed. Write rule for functin in simplifed form.
How is mathematics helpful in business, economics, and life sciences applications? When do you forecast you will use concepts from course in the chosen field?
Perform the complete analysis: Find vertical and horizontal asymptotes and x &Y intercepts and sketch the graph of function. Illustrate all work.
Determine all solutions to equation, Check the solutions and show work. Determine all real numbers x and y which satisfy equation: -2x-4+2yi=3x-2i.
They evaluate that for each $20 decrease in price they will sell 15 more computers. Find maximum amount of profit they can get by changing price of their computers?
In the right triangle is known that leg is 10 cm. and what angle opposite said leg has cosine 0.4. Compute length of 1. The other leg 2. Hypotenuse bring its respueseta hundredths.
State the fuzzy membership function m(x) for the fuzzy set of experienced DBAs. If the DBA has fewer than 3years' experience, then that person is not in set.
The isosceles triangle has the area of 29 cm2, and angle between two equal sides is 5?/6. Determine the length of the two equal sides?
Compute height of the tower which casts the shadow of 20 m. when sun's rays impinge on Ground with the angle whose tangentee is 1,369.
The large tree casts the shadow of 8.43m. At that moment, the young pine tree casts the shadow 1 m projects a shadow of 38 cm, determine the height of the big tree?
Use Law of Sines to solve for possible triangles which satisfy given conditions. If the answer doesn't exist, enter DNE.
Famous golfer tees off on long straight 468 yard par 4 and slices his drive 18 degree to right of line from tee to home. If drive went 282 yards, how many yards will golfer second shot have to be to
Bridge is built in shape of the parabolic arch. Bridge arch has the span of 200feet and maximum height of 25feet. Determine height of arch at 20 feet from its center.
Determine equation of parabola. vertex at (0, 0) AOS x axis containing point (2, 4). Determine equation of parabola and define two points that define latus rectum.
The farmer in India takes out the loan for $2 for the chicken and should pay back $0.10/month for 10 years. Determine how much money wil he pay back in total (whole life of loan).
To find distance between them, surveyor locates point C on land such that angle CAB = 48.2°. He also measures CA as 310 ft and CB as 527 ft. Determine distance between A and B.
Graph f and verify that f is the one-to-one function. Determine f^-1 and add graph of f^-1 and line y=x to graph of f. Define the domain and range of f and domain and range of f^-1.
The radio transmission tower is 592ft tall. The guy wire is to be attached 6ft from top and is to make angle of 22 degrees with ground. How many feet ling must guy wire be?
Annual U.S. box office revenue in billions of dollars for the span of years beginning in 2002 can be modeles by function. In what year was box office revenue at highest in time span?
Rewrite function with the positive angle, and then graph resulting function. Determine amplitude, period, displacement of function.