Here are additional formulas that you will use to solve some of the remaining exercises. Be sure you understand what each formula describes and the meaning of the variables in the formulas. A = P ( 1 + r ) t A = P ( 1 + r n ) n t In Exercises 21-22, round all answers to the nearest dollar. Here are two ways of investing $30,000 for 20 years. • Lump-Sum Deposit Rate Time $30,000 5% compounded annually 20 years • Periodic Deposit Rate Time $1500 at the end of each year 5% compounded annually 20 years a. After 20 years, how much more will you have from the lump-sum investment than from the annuity? b. After 20 years, how much more interest will have been earned from the lump-sum investment than from the annuity?
Here are additional formulas that you will use to solve some of the remaining exercises. Be sure you understand what each formula describes and the meaning of the variables in the formulas. A = P ( 1 + r ) t A = P ( 1 + r n ) n t In Exercises 21-22, round all answers to the nearest dollar. Here are two ways of investing $30,000 for 20 years. • Lump-Sum Deposit Rate Time $30,000 5% compounded annually 20 years • Periodic Deposit Rate Time $1500 at the end of each year 5% compounded annually 20 years a. After 20 years, how much more will you have from the lump-sum investment than from the annuity? b. After 20 years, how much more interest will have been earned from the lump-sum investment than from the annuity?
Solution Summary: The author calculates the extra amount that a person will have from lump sum investment than from the annuity after 20years.
Here are additional formulas that you will use to solve some of the remaining exercises. Be sure you understand what each formula describes and the meaning of the variables in the formulas.
A
=
P
(
1
+
r
)
t
A
=
P
(
1
+
r
n
)
n
t
In Exercises 21-22, round all answers to the nearest dollar.
Here are two ways of investing $30,000 for 20 years.
•
Lump-SumDeposit
Rate
Time
$30,000
5% compounded annually
20 years
•
Periodic Deposit
Rate
Time
$1500 at the end of each year
5% compounded annually
20 years
a. After 20 years, how much more will you have from the lump-sum investment than from the annuity?
b. After 20 years, how much more interest will have been earned from the lump-sum investment than from the annuity?
Let l=2L\sqrt{5} and P=(1,2) in the Poincaré plane. Find the uniqe line l' through P such that l' is orthogonal to l
Construct a triangle in the Poincare plane with all sides equal to ln(2). (Hint: Use the fact that, the circle with center (0,a) and radius ln(r), r>1 in the Poincaré plane is equal to the point set { (x,y) : x^2+(y-1/2(r+1/r)a)^2=1/4(r-1/r)^2a^2 }
How many different rectangles can be made whose side lengths, in centimeters, are counting numbers and whose are is 1,159 square centimeters? Draw and label all possible rectangles.
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