Math Answers

Suppose a project requires an initial investment of ＄2000 and it is expected to generate a

cash flow of ＄100 for 3 years plus ＄12500 in the third year. The target rate of return of

the project is 10% per annum. Calculate the net present value of the project.

find the values of k for which the following equations have two equal roots.

(a)4x^2+4(k-2)x+k=0

(b)(k+2)x^2+4k=(4k+2x)

(c)x^2-2x+1=2k(k-2)

(d)(k+1)x^2+kx-2k=0

(e)4x^2-(k-2)x+9=0

An electrician charges a base fee of $70 plus $50 for each hour of work. Create a table that shows the amount the electrician charges for 1,2,3, and 4 hours of work. Let x represent the number of hours and y represent the amount charged for x hours. Is this relation a function?

Of the members of three athletic teams in a school 21 are in the cricket team, 26 are in the hockey team and 29 are in the football team. Among them, 14 play hockey and cricket, 15 play hockey and football, and 12 play football and cricket. Eight play all the three games. The total number of members in the three athletic teams is

A test on car braking reaction times for mean between 18 and 30 years old have produced a mean

and standard deviation of 0.610 sec. and 0.123 sec, respectively. When 40 male drivers of this age

group were randomly selected and tested for their breaking reaction times, a mean of 0.587

second came out. At the α = 0.10 level of significance, test the claim of the driving instructor that

his graduates had faster reaction times.

Solution:

I. Statement of the Hypothesis:

Ho :

H1 :

II. Statistical Test:

III. Level of Significance and Critical Value:

IV. Computed value of Z:

V. Conclusion:

A Function f : Z→Z, f(x) = x+5, is invertible since it has the inverse

function g : Z→Z, g(x) = x−5.

Of the members of three athletic teams in a school 21 are in the cricket team, 26 are in the hockey team and 29 are in the football team. Among them, 14 play hockey and cricket, 15 play hockey and football, and 12 play football and cricket. Eight play all the three games. The total number of members in the three athletic teams is

In a public opinion survey, 60 out of a sample of 70 high-income voters and 90 out of a sample of 100 low-income voters supported the introduction of a new national security tax.

a/ Estimate, with 95% confidence level, the true proportion of low-income people who will vote for the introduction of the tax.

b/ Can we conclude at the 5% level of significance that the proportion of high-income voters favoring the new security tax is lower than that of low-income voters?

How would i solve| (x-2)(x²+8x-1).                    (X+4)(x²-5x+9), I have to find the answer to these, then add them together.

Solve the partial differential equation (3D^² +10DD^1+ 3D ^1^2)z=e^x-y