Solve the problem.A person with no more than $7000 to invest plans to place the money in two investments, telecommunications and pharmaceuticals. The telecommunications investment is to be no more than 5 times the pharmaceuticals investment. Write a system of inequalities to describe the situation. Let
to be invested in telecommunications and
to be invested in pharmaceuticals.
A. x + y = 7000
x ? 5y
x ? 0
y ? 0
B. x + y ? 7000
x ? 5y
x ? 0
y ? 0
C. x + y = 7000
y ? 5x
x ? 0
y ? 0
D. x + y ? 7000
5x ? y
x ? 0
y ? 0
Answer: B
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Use Euler's method with the specified step size to estimate the value of the solution at the given point x*. Find the value of the exact solution at x*.y' = y - e-3x, y(0) = 2, dx = 1/3, x* = 2
A. Euler's method gives y ? 8.2740; the exact solution is 11.1513 B. Euler's method gives y ? 8.9605; the exact solution is 12.3212 C. Euler's method gives y ? 9.2983; the exact solution is 12.9315 D. Euler's method gives y ? 9.4866; the exact solution is 13.3004
Graph the function and determine the values of x for which the function is continuous. If the function is not continuous, determine the reason.f(x) =
A.
Continuous for all x
B.
Not continuous at x = -2;
small change
C.
Not continuous at x = -2;
small change
D.
Not continuous at x = -2;
function not defined
Provide an appropriate response.Subtract: 9 - 3
A. 5
B. 6
C. 5
D. 5
E. none of the above
Solve. If necessary, round answers to the nearest hundredth.The following test scores were recorded for a student: 66, 63, 61, 60, 69, 65. Find the mean, median, and mode.
A.
mean: 63 | median: none | mode: none |
B.
mean: 64 | median: 60 | mode: 69 |
C.
mean: 64 | median: 64 | mode: none |
D.
mean: 65 | median: none | mode: 69 |