A brokerage firm keeps track of the total money spent on Tesla stocks by their clients each day of the week, T(t). The function T(t) can be expressed as T(t) = N(t) · P(t), where N(t) is the number of stocks bought that day and P(t) is the price of Tesla stock that day. Suppose the price of a Tesla stock on day t = 0 is $700 and the number of stocks bought was 200. The graph of P'(t) is given below: y= P'(t) (a) What is the price of a Tesla stock at the end of day t = 7? (b) Suppose that N'(t) is given by N'(t) at = T sin + 1. How much Tesla stock did the clients buy on day 7? (c) Is the total money spent on Tesla stock increasing or decreasing on day 7? By how much?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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A brokerage firm keeps track of the total money spent on Tesla stocks by their clients each day of the
week, T(t). The function T(t) can be expressed as
T(t) = N(t) · P(t),
where N(t) is the number of stocks bought that day and P(t) is the price of Tesla stock that day.
Suppose the price of a Tesla stock on dayt = 0 is $700 and the number of stocks bought was 200. The
graph of P'(t) is given below:
y = P'(t)
3
4
(a) What is the price of a Tesla stock at the end of day t = 7?
(b) Suppose that N'(t) is given by
N'(t) = T sin
7
()
+ 1.
How much Tesla stock did the clients buy on day 7?
(c) Is the total money spent on Tesla stock increasing or decreasing on day 7? By how much?
Transcribed Image Text:A brokerage firm keeps track of the total money spent on Tesla stocks by their clients each day of the week, T(t). The function T(t) can be expressed as T(t) = N(t) · P(t), where N(t) is the number of stocks bought that day and P(t) is the price of Tesla stock that day. Suppose the price of a Tesla stock on dayt = 0 is $700 and the number of stocks bought was 200. The graph of P'(t) is given below: y = P'(t) 3 4 (a) What is the price of a Tesla stock at the end of day t = 7? (b) Suppose that N'(t) is given by N'(t) = T sin 7 () + 1. How much Tesla stock did the clients buy on day 7? (c) Is the total money spent on Tesla stock increasing or decreasing on day 7? By how much?
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