# John

### Math World Problem (functions)?

If Sue and Bill work together on a job, they can do the job in 7 hours. If Bill works alone, it takes him 15 hours. Write an equation to find out how long the job would take Sue working alone.

6 AnswersMathematics10 months ago### Financing Problem?

A young couple wants to have a college fund that will pay $40,000 at the end of each half-year for 8 years.

(a) If they can invest at 6%, compounded semiannually, how much do they need to invest at the end of each 6-month period for the next 18 years to begin making their college withdrawals 6 months after their last investment? (Round your answer to the nearest cent.)

(b) Suppose 8 years after beginning the annuity payments, they receive an inheritance of $32,000 that they contribute to the account, and they continue to make their regular payments as found in part (a). How many college withdrawals will they be able to make before the account balance is $0? (Round your answer to the nearest whole number.)

1 AnswerPersonal Finance10 months ago### ADVANCED FUNCTIONS?

The charges for renting a moving van are $65 for the first 50 miles and $7 for each additional mile. Assume that a fraction of a mile is rounded up.

a) Determine the cost of driving the van 88 miles.

b) Find the algebraic representation for a function f that finds the cost of driving the van x miles, where 0<x≤100 using a piece wise function

1 AnswerMathematics11 months ago### Vectors Help?

Determine an equation in symmetric form for the line passing through P(3,-4,6) and having direction angles 60°,90°,30°

The answers are y=-4, (x-3)/1=(z-6)/(sqrt3)

but how do you come up with the symmetric forms

1 AnswerMathematics1 year ago### Vectors Homework Help?

The two lines with equation r=(1,2,-4)+t(k+1, 3k+1, k-3), teR and x=2-3s, y=1-10s, z=3-5s, seR are given.

a) determine a value for k if these lines are parallel

b)determine a value for k if these lines are perpendicular

Answers are a) -7 b)1/19

but how do you get these values

2 AnswersMathematics1 year ago### Trigonometry problem?

Determine whether it is possible to draw a triangle, given each set of information. Sketch all possible triangles where appropriate. Label all side lengths to the nearest tenth of a centimetre and all angles to the nearest degree.

a=5.2cm, b=2.8cm, angle B=65 degrees

2 AnswersMathematics1 year ago### Sec(theta)=13/12 and is in the fourth quadrant.?

a) Draw angle (theta) in standard position

b)Determine the exact values of cos(theta), csc(theta), cot(theta)

2 AnswersMathematics1 year ago### Calculus Optimization help?

An animal breeder wishes to create five adjacent rectangular pens, each with an area of 2400m^2. To ensure that the pens are large enough for grazing, the minimum for either dimension must be 10m. Find the dimensions for the pens in order to keep the amount of fencing used to a minimum.

2 AnswersMathematics1 year ago### Calculus help?

A piece of wire 100 cm long is cut into two pieces. One piece is bent to form a square, and the other is bent to form a circle. How should the wire be cut so that the total area enclosed is a minimum?

5 AnswersMathematics1 year ago### Optimization Problem (calculus)?

Find the area of the largest rectangle that can be inscribed in a right triangle with legs adjacent to the lengths 8 cm and 15 cm

1 AnswerMathematics1 year ago### Optimization problem (Calculus)?

The given diagram represents a conical coffee filter 16 cm in diameter and 24 cm high. It drips coffee into a cylindrical pot 12 cm in diameter.

When the remaining coffee in the filter is 12 cm deep, its depth y is dropping at 1 cm per minute.

At that exact time, how fast is the depth h of coffee in the pot rising?

The answer is 4/9 cm per minute.

2 AnswersMathematics1 year ago### Calculus Assignment Help?

A certain curve has equation y^2+ay=(x^2+b)/(cx^2+dx+e), where a,b,c,d,e are integers.

This curve has the following properties:

-its only x-intercept is at (0,0)

-it has exactly one vertical asymptote at x=1

-it has two horizontal asymptotes at x=−1/2 and x=1/2

A. Determine the values of the integers a,b,c,d,e. Justify your choice.

B. Sketch the graph of the curve.

The answers are a=0, b=0, c=4, d=-2, e=1

The equation is y^2=x^2/4(x-1)^2

But how do you get it?

2 AnswersMathematics1 year ago### help with calculus assignment?

A certain curve has equation y^2+ay=x^2+b/(cx^2+dx+e), where a,b,c,d,e are integers.

This curve has the following properties:

-its only x-intercept is at (0,0)

-it has exactly one vertical asymptote at x=1

-it has two horizontal asymptotes at x=−1/2 and x=1/2

A. Determine the values of the integers a,b,c,d,e. Justify your choice.

B. Sketch the graph of the curve.

The answers are a=0, b=0, c=4, d=-2, e=1

1 AnswerMathematics1 year ago### Given the function f(x)=ax^3+bx^2+cx+d, prove that the point of inflection is the midpoint between the local extrema?

If you can, can you help with 5 also

3 AnswersMathematics1 year ago