Future value. At the end of each year, $5,000 is invested into an IRA earning 3% compounded annually. (A) How much will be in the account at the end of 30 years? Use the annuity formula F ( P , i , n ) = P ( 1 + i ) n − 1 i where P = periodic payment i = rate per period n = number of payments (periods) F = FV = future value (B) Use graphical approximation methods to determine the rate of interest that would produce $300,000 in the account at the end of 30 years.
Future value. At the end of each year, $5,000 is invested into an IRA earning 3% compounded annually. (A) How much will be in the account at the end of 30 years? Use the annuity formula F ( P , i , n ) = P ( 1 + i ) n − 1 i where P = periodic payment i = rate per period n = number of payments (periods) F = FV = future value (B) Use graphical approximation methods to determine the rate of interest that would produce $300,000 in the account at the end of 30 years.
Solution Summary: The author calculates the total amount in the account at the end of 30 years, using the graphical approximation method.
Use the following graph of ƒ (x) to evaluate ƒ' (−1) and ƒ' (2).
y
+10+
9
8
7
6
5
4
3
2
1-
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
x
3
4
0
8 9 10
-2
3
-4
5
-6
-7
-8
-9
-10-
f'(-1)=
f' (2)
For the following function f and real number a,
a. find the slope of the tangent line mtan = = f' (a), and
b. find the equation of the tangent line to f at x = a.
f(x) =
2
=
;a=2
a. Slope:
b. Equation of tangent line: y
For the following function f and real number a,
a. find the slope of the tangent line mtan = f' (a), and
b. find the equation of the tangent line to f at x = a.
f(x) = 2x² + 3x; a = 2
a. Slope:
b. Equation of tangent line: y
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