Investment Problems An investment of P dollars is deposited in a savings account that is compounded monthly with an annual interest rate of r , where r is expressed as a decimal. The amount of money A in the account after t years is given by A = P ( 1 + r / 12 ) 12 t . Use this equation to complete the following exercises. 63. Determine the time it takes an investment of $1000 to increase to $1100 dollars if it is placed in an account that is compounded monthly with an annual interest rate of 1%( r = 0.01).
Investment Problems An investment of P dollars is deposited in a savings account that is compounded monthly with an annual interest rate of r , where r is expressed as a decimal. The amount of money A in the account after t years is given by A = P ( 1 + r / 12 ) 12 t . Use this equation to complete the following exercises. 63. Determine the time it takes an investment of $1000 to increase to $1100 dollars if it is placed in an account that is compounded monthly with an annual interest rate of 1%( r = 0.01).
Solution Summary: The author explains how the time taken to increase the investment of 1000 to 1100 is 9.53 years.
Investment Problems An investment of P dollars is deposited in a savings account that is compounded monthly with an annual interest rate of r, where r is expressed as a decimal. The amount of money A in the account after t years is given by
A
=
P
(
1
+
r
/
12
)
12
t
. Use this equation to complete the following exercises.
63. Determine the time it takes an investment of $1000 to increase to $1100 dollars if it is placed in an account that is compounded monthly with an annual interest rate of 1%(r = 0.01).
In each of Problems 1 through 4, draw a direction field for the given differential equation. Based on the direction field, determine the behavior of y as t → ∞. If this behavior depends on the initial value of y at t = 0, describe the dependency.1. y′ = 3 − 2y
B 2-
The figure gives four points and some
corresponding rays in the xy-plane. Which of
the following is true?
A
B
Angle COB is in standard
position with initial ray OB
and terminal ray OC.
Angle COB is in standard
position with initial ray OC
and terminal ray OB.
C
Angle DOB is in standard
position with initial ray OB
and terminal ray OD.
D
Angle DOB is in standard
position with initial ray OD
and terminal ray OB.
temperature in degrees Fahrenheit, n hours since midnight.
5. The temperature was recorded at several times during the day. Function T gives the
Here is a graph for this function.
To 29uis
a. Describe the overall trend of temperature throughout the day.
temperature (Fahrenheit)
40
50
50
60
60
70
5
10 15 20 25
time of day
b. Based on the graph, did the temperature change more quickly between 10:00
a.m. and noon, or between 8:00 p.m. and 10:00 p.m.? Explain how you know.
(From Unit 4, Lesson 7.)
6. Explain why this graph does not represent a function.
(From Unit 4, Lesson 8.)
Chapter 1 Solutions
Calculus: Single Variable, Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)
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