a. An employee invests $ 500 per month in an ordinary annuity. If the interest rate is 5 % , find the value of the annuity after 18 yr . b. If the employee invests $ 1000 per month in the annuity instead of $ 500 at 5 % interest, find the value of the annuity after 18 yr . Compare the result to part (a), c. If the employee invests $500 per month in the annuity at 5 % interest find the value of the annuity after 36 yr . Compare the result to part (a).
a. An employee invests $ 500 per month in an ordinary annuity. If the interest rate is 5 % , find the value of the annuity after 18 yr . b. If the employee invests $ 1000 per month in the annuity instead of $ 500 at 5 % interest, find the value of the annuity after 18 yr . Compare the result to part (a), c. If the employee invests $500 per month in the annuity at 5 % interest find the value of the annuity after 36 yr . Compare the result to part (a).
Solution Summary: The author calculates the future value of an ordinary annuity by comparing the values of P,n,r, and t.
a. An employee invests
$
500
per month in an ordinary annuity. If the interest rate is
5
%
, find the value of the annuity after
18
yr
.
b. If the employee invests
$
1000
per month in the annuity instead of
$
500
at
5
%
interest, find the value of the annuity after
18
yr
. Compare the result to part (a),
c. If the employee invests $500 per month in the annuity at
5
%
interest find the value of the annuity after
36
yr
. Compare the result to part (a).
Let f be a function whose graph consists of 5 line segments and a semicircle as shown in the figure below.
Let g(x) = √ƒƒ(t) dt .
0
3
2
-2
2
4
5
6
7
8
9
10
11
12
13
14
15
1. g(0) =
2. g(2) =
3. g(4) =
4. g(6) =
5. g'(3) =
6. g'(13)=
The expression 3 | (3+1/+1)
of the following integrals?
A
Ов
E
+
+
+ +
18
3+1+1
3++1
3++1
(A) √2×14 dx
x+1
(C) 1½-½√ √ ² ( 14 ) d x
(B) √31dx
(D) So 3+x
-dx
is a Riemann sum approximation of which
5
(E) 1½√√3dx
2x+1
2. Suppose the population of Wakanda t years after 2000 is given by the equation
f(t) = 45000(1.006). If this trend continues, in what year will the population reach 50,000
people? Show all your work, round your answer to two decimal places, and include units. (4
points)
College Algebra with Modeling & Visualization (5th Edition)
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