Mathematics
Three people who work full-time are to work together on a project, but their total time on the project is to be equivalent to that of only one person working full-time. If one of the people is budgeted for 1/2 of his time to the project and a second person for 1/3 of her time, what part of the third worker's time should be budgeted to this project?
1/3
1/4
1/6
1/8
The first term of a geometric sequence is 2000 and the second term is 1000. Starting from the first term, how many consecutive terms in this sequence must be taken in order to obtain a sum equal to 3875?
4
5
6
7
The 4th and 7th terms of a geometric sequence are 1/8 and 1/64 respectively. Find the 9th term.
1/256
1/216
1/225
1/169
If the graph of y = (x - 2)2 - 3 is translated 5 units up and 2 units to the right, then the equation of the graph obtained is given by
y = x^2 + 2
y = (x - 2)^2 + 5
y = (x + 2)^2 + 2
y = (x - 4)^2 + 2
Let f(x) = x2 + 2x + 4. Which of the following statements is NOT true?
f(x) has a maximum value
The graph of f is not a line
The graph of f has no x-intercepts.
The graph of f has a y-intercept.
$1200 is placed in an account at 4% compounded annually for 2 years. It is then withdrawn at the end of the two years and placed in another bank at the rate of 5% compounded annually for 4 years. What is the balance in the second accound after the 4 years.
$1297.92
$1577.63
$1587.73
$1299.94
The right triangle ABC shown below is inscribed inside a parabola. Point B is also the maximum point of the parabola (vertex) and point C is the x intercept of the parabola. If the equation of the parabola is given by y = -x2 + 4x + C, find C so that the area of the triangle ABC is equal to 32 square units.
10
9
12
13
An airplane flies against the wind from A to B in 8 hours. The same airplane returns from B to A, in the same direction as the wind, in 7 hours. Find the ratio of the speed of the airplane (in still air) to the speed of the wind.
10
12
14
15
{"name":"Mathematics", "url":"https://www.quiz-maker.com/Q2U7SZE","txt":"Three people who work full-time are to work together on a project, but their total time on the project is to be equivalent to that of only one person working full-time. If one of the people is budgeted for 1\/2 of his time to the project and a second person for 1\/3 of her time, what part of the third worker's time should be budgeted to this project?, The first term of a geometric sequence is 2000 and the second term is 1000. Starting from the first term, how many consecutive terms in this sequence must be taken in order to obtain a sum equal to 3875?, The 4th and 7th terms of a geometric sequence are 1\/8 and 1\/64 respectively. Find the 9th term.","img":"https://cdn.poll-maker.com/25-961902/problems-g12-1.gif?sz=1200-00000010501000005300"}