Math 128 math for the modern world Workbook due in 2 hours Please help asap if p
ID: 3141120 • Letter: M
Question
Math 128 math for the modern world Workbook due in 2 hours Please help asap if possible 2. A retired chemist withdraws money from a retirement account at a constant rate. Let A(t) represent the dollar amount in the account after tmonths. Suppose the model is linear with A(t on the vertical axis and time on the horizontal axis. The function relating Act and tis given by: A(t) 2700000-7500t. a) Find the intercept on the borizontal axis. (4 points) intercept on the horizontal axis. (2 points) A. The chemist withdraws s7500 a month from the account. B. The chemist has $2700000 at the time of retirement. C The chemist will run out of money in 360 months. D. The chemist will use $360 a month for 7500 months. c) Find the intercept on the vertical axis. (4 points) c) Circle the letter ofthe sentence that of the vertical intercept in terms of the context of this application. (2 points) The chemist withdraws $2700000 a month from the account. B The chemist has $2700000 at the time of retirement. C The chemist will run out of money in 360 months. D. The chemist will use $360 a month for 7500 months.Explanation / Answer
a) A(t) = 2700000 - 7500t
When A(t) = 0
=> 2700000 - 7500t = 0
=> 7500t = 2700000
=> t = 2700000 / 7500
=> t = 360
Thus the horizontal intercept is 360.
b) A(t) = 0 => Amount is zero.
So the answer is C. The chemist will run out of money in 360 months.
c) A(t) = 2700000 - 7500t
When t = 0
=> A(t) = 2700000 - 7500*0
=> A(t) = 2700000
Thus the vertical intercept is 2700000.
d) t = 0 is the amount in the beginning.
So the answer is B. The chemist has $2700000 at the time of retirement.