Answer:
(a) 35.41166
(b) 29.15324
(c) 37.6595
(d) 56.70206
(e) From 1991 to 1998 the change in amount of money circulation decreases and from 1998 to 2011 the change in amount of money circulation increases.
Step-by-step explanation:
The given function is
where t represents the number of years since 1990 and M(t) is in billions of dollars.
Differentiate with respect to t.
.... (1)
M'(t) represents the rate of change of money in circulation, where t represents the number of years since 1990.
(a) For 1991, substitute t=1 in equation (1).
(b) For 1998, substitute t=8 in equation (1).
(c) For 2005, substitute t=15 in equation (1).
(d) For 2011, substitute t=21 in equation (1).
(e) From 1991 to 1998 the change in amount of money circulation decreases and from 1998 to 2011 the change in amount of money circulation increases.
Answer:
480 in^3
Step-by-step explanation:
8*10*5=400
4*4*5=80
400+80=480 in^3
Answer:
Divide 2 by 6
Step-by-step explanation:
Since he’s already at -15, if he writes a check for 7 then he’s subtracting more from his account.
So, -15-7=-22
Her grade on a fourth test is 75.
The average of e for the four tests is 84.
By substituting the given data in the equation, we get
Let the fourth test marks be x
83 + 90 + 88 + x / 4 = 84
261 + x / 4 = 84
261 + x = 336
x = 336 - 261
x = 75
An average may be described as the sum of all numbers divided by means of the whole quantity of values.
A mean can be defined as an average of the set of values in a sample of data. In different words, a median is also called the mathematics mean.
Learn more about mean here: brainly.com/question/20118982
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