Questions from General Calculus

Q: Find the equation of the tangent line to the curve y =

Find the equation of the tangent line to the curve y = (x + 1) / (x - 1) at the point (2, 3).

Q: Find the present value of $1000 payable at the end of

Find the present value of $1000 payable at the end of 3 years, if money may be invested at 8% with interest compounded continuously.

Q: Let A(t) be the balance in a savings account

Let A(t) be the balance in a savings account after t years, and suppose that A(t) satisfies the differential equation A’(t) = .045A(t), A(0) = 3000. (a) How much money was originally deposited in t...

Q: Find the present value of $2000 to be received in 10

Find the present value of $2000 to be received in 10 years, if money may be invested at 8% with interest compounded continuously.

Q: How much money must you invest now at 4.5%

How much money must you invest now at 4.5% interest compounded continuously to have $10,000 at the end of 5 years?

Q: If the present value of $1000 to be received in 5

If the present value of $1000 to be received in 5 years is $559.90, what rate of interest, compounded continuously, was used to compute this present value?

Q: Investment A is currently worth $70,200 and is growing

Investment A is currently worth $70,200 and is growing at the rate of 13% per year compounded continuously. Investment B is currently worth $60,000 and is growing at the rate of 14% per year compounde...

Q: Ten thousand dollars is deposited in a money market fund paying 8

Ten thousand dollars is deposited in a money market fund paying 8% interest compounded continuously. How much interest will be earned during the second year of the investment?

Q: Forty grams of a certain radioactive material disintegrates to 16 grams in

Forty grams of a certain radioactive material disintegrates to 16 grams in 220 years. How much of this material is left after 300 years?

Q: A small amount of money is deposited in a savings account with

A small amount of money is deposited in a savings account with interest compounded continuously. Let A(t) be the balance in the account after t years. Match each of the following answers with its corr...