In a conversation with a friend, you note that you have two real estate investments, one that has doubled in value in the past 9 years and another that has doubled in value in the past 12 years. Your friend says that the first investment has been growing at approximately 8 % compounded annually and the second at 6 % compounded annually. How did your friend make these estimates? The rule of 72 states that the annual compound rate of growth r of an investment that doubles in n years can be approximated by r = 72 / n . Construct a table comparing the exact rate of growth and the approximate rate provided by the rule of 72 for doubling times of n = 6 , 7 , … , 12 years. Round both rates to one decimal place.
In a conversation with a friend, you note that you have two real estate investments, one that has doubled in value in the past 9 years and another that has doubled in value in the past 12 years. Your friend says that the first investment has been growing at approximately 8 % compounded annually and the second at 6 % compounded annually. How did your friend make these estimates? The rule of 72 states that the annual compound rate of growth r of an investment that doubles in n years can be approximated by r = 72 / n . Construct a table comparing the exact rate of growth and the approximate rate provided by the rule of 72 for doubling times of n = 6 , 7 , … , 12 years. Round both rates to one decimal place.
Solution Summary: The author compares the exact rate of growth and the rate calculated using the rule of 72, for doubling times of n=6,7,mathrm...,12.
In a conversation with a friend, you note that you have two real estate investments, one that has doubled in value in the past
9
years and another that has doubled in value in the past
12
years. Your friend says that the first investment has been growing at approximately
8
%
compounded annually and the second at
6
%
compounded annually. How did your friend make these estimates? The rule of
72
states that the annual compound rate of growth r of an investment that doubles in n years can be approximated by
r
=
72
/
n
. Construct a table comparing the exact rate of growth and the approximate rate provided by the rule of
72
for doubling times of
n
=
6
,
7
,
…
,
12
years. Round both rates to one decimal place.
Use the information in the following table to find h' (a) at the given value for a.
x f(x) g(x) f'(x) g'(x)
0
0
3
2
1
1
0
0
2
0
2
43
22
4
3
3
2
3
1
1
4
1
2
0
4
2
h(x) = (1/(2) ²;
9(x)
h' (3)=
=
; a=3
The position of a moving hockey puck after t seconds is s(t) = tan
a. Find the velocity of the hockey puck at any time t.
v(t)
=====
b. Find the acceleration of the puck at any time t.
-1
a (t)
=
(t) where s is in meters.
c. Evaluate v(t) and a (t) for t = 1, 4, and 5 seconds. Round to 4 decimal places, if necessary.
v (1)
v (4)
v (5)
a (1)
=
=
=
=
a (4) =
a (5) =
d. What conclusion can be drawn from the results in the previous part?
○ The hockey puck is decelerating/slowing down at 1, 4, and 5 seconds
○ The hockey puck has a constant velocity/speed at 1, 4, and 5 seconds
○ The hockey puck is accelerating/speeding up at 1, 4, and 5 seconds
If the average price of a new one family home is $246,300 with a standard deviation of $15,000 find the minimum and maximum prices of the houses that a contractor will build to satisfy 88% of the market value
Chapter 3 Solutions
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
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