Homework Answers

A credit card statement shows an unpaid balance of ₱6,300 on the billing date of September5. Changes and credits to the account are shown below. The finance charge at 2.3% on the average daily balance is entered on the billing date. Find the average daily balance, finance charge and the account balance on the next billing date, which is October 5. Credit Card Transactions: Sept. 10 purchase ₱3,205; Sept. 18 purchase of ₱4,750; Sept. 20 purchase of ₱9,000; and Oct. 1 payment of ₱20,000. Type your answer as: Average Daily Balance = ____________ Finance Charge = __________ Balance owed on October 5 = ____________

For each problem, find the equation of the line normal to the function at the given point. If the normal line is vertical line, indicate so. Otherwise, you answer should be in slope-intercept form.

1) y = -2x^2 - 4x at (-3, -6)

2) y = -x^3 + 2x^2 - 3 at (1, -2)

Mae purchased a home for ₱4,570,000 and obtained a 20-year loan with an annual interest rate of 8.5%, after paying a down payment of 25%. Find the the amount of interest paid on the loan over the 20 years

For each problem, find the equation of the line tangent to the function at the given point. Your answer should be a slope-form.

1) y = 2x^2 + 16x + 32 at (-3, 2)

2) y = (x-2)^(1/3) at (3,1)

3) y = -x^3 + 3x^2 -4 at (3, -4)

4) y = -3/ x^2 - 4 at (-1, 1)

For each problem, find the derivative of the function at the given value. Some will require a graphing calculator.

1) y= -(-x+1)^(1/2) at x= -1

2) y= 2sin (2x) at x= - π/2

3) y= x^2 + 4x + 1 at x= -1

4) y= -ln (x) at x = 2

A weight is suspended from a spring and is moving up and down in a simple harmonic motion. At start, the weight is pulled down 5 cm below the resting position, and then released. After 8 seconds, the weight reaches its highest location for the first time. Find the equation of the motion.