Popular questions

On the day of a child's birth, a deposit of \$30,000 is made in a trust fund that pays 3% interest, compounded continuously. Determine the balance in this account on the child's 30th birthday. (Round your answer to two decimal places.)

asked by Angie on September 9, 2014

A company that manufactures bicycles estimates that the profit P (in dollars) for selling a particular model is given by the equation shown below, where x is the advertising expense (in tens of thousands of dollars). P = –35x3 + 2500x2 – 275000, 0 ≤

Find all the zeros of the function. (Enter your answers as a comma-separated list.) f(x) = (x + 3)(x − 7)2 X=

Use Hooke's Law for springs, which states that the distance a spring is stretched (or compressed) varies directly as the force on the spring. A force of 265 newtons stretches a spring 0.15 meter (see figure). (a) How far will a force of 120 newtons stretch

Evaluate the function at the specified value of the independent variable and simplify. f(x) = (2x^2 + 8x)/(5x^3 + 40) at x = 3.

State sales tax is based on retail price. An item that sells for \$115.99 has a sales tax of \$8.12. Find a mathematical model that gives the amount of sales tax y in terms of the retail price x. (Round the coefficient to two decimal places.) y = Use the

asked by Angie on September 10, 2014

Write the logarithmic equation in exponential form. ln e = 1 How do I do that?

asked by Angie on September 9, 2014

What are the dimensions of a rectangular tract of land if its perimeter is 70 kilometers and its area is 300 square kilometers? km (smaller value) akm (larger value)

asked by angie on November 24, 2014

The simple interest on an investment is directly proportional to the amount of the investment. By investing \$4250 in a certain bond issue, you obtained an interest payment of \$106.25 after 1 year. Find a mathematical model that gives the interest I for

asked by Angie on September 9, 2014

Find the inverse function of f(x) = (7x-8)/(3x -1).

Consider the following function. g(x) = 6x^4 − 13x^3 − 144x^2 + 325x − 150 (a) Use the zero or root feature of a graphing utility to approximate the zeros of the function accurate to three decimal places. (Enter your answers as a comma-separated

A rectangular classroom seats 252 students. If the seats were rearranged with three more seats in each row, the classroom would have two fewer rows. Find the original number of seats in each row.

Find the zeros of the function algebraically. f(x) = 36x^4 − 25x^2 x = (smallest value) x = x = (largest value)

Find all the zeros of the function. When there is an extended list of possible rational zeros, use a graphing utility to graph the function in order to discard any rational zeros that are obviously not zeros of the function. (Enter your answers as a

A small software company invests \$30,000 to produce a software package that will sell for \$64.95. Each unit can be produced for \$42.25. How many units must be sold to break even? How many units must be sold to make a profit of \$100,000?

asked by Angie on August 28, 2014

A small fast-food restaurant invests \$4,000 to produce a new food item that will sell for \$4.59. Each item can be produced for \$2.19. (a) How many items must be sold to break even? (Round your answer to the nearest whole number.) items (b) How many items

asked by Angie on August 28, 2014

Find ( f + g)(x). f (x) = 3x^2 – 2 g(x) = 2x^2 – x – 2 a. ( f + g)(x) = x^4 + x b. ( f + g)(x) = 5x^4 – x – 4 c. ( f + g)(x) = x^2 + x d. ( f + g)(x) = 5x^2 – x – 4 e. ( f + g)(x) = –5x^2 + x + 4

Find the following. f(x) = 7x − 9, g(x) = 8 − x A:(f + g)(x) = B:(f − g)(x) = C:(fg)(x) = D:(f/g)(x) =