(a) If $ 1000 is invested at 8 % per year compounded continuously (Exercise 46), what will the investment be worth after 5 years? (b) If it is desired that an investment at 8 % per year compounded continuously should have a value of $ 10 , 000 after 10 years, how much should be invested now? (c) How long does it take for an investment at 8 % per year compounded continuously to double in value?
(a) If $ 1000 is invested at 8 % per year compounded continuously (Exercise 46), what will the investment be worth after 5 years? (b) If it is desired that an investment at 8 % per year compounded continuously should have a value of $ 10 , 000 after 10 years, how much should be invested now? (c) How long does it take for an investment at 8 % per year compounded continuously to double in value?
(a) If
$
1000
is invested at
8
%
per year compounded continuously (Exercise 46), what will the investment be worth after 5 years?
(b) If it is desired that an investment at
8
%
per year compounded continuously should have a value of
$
10
,
000
after 10 years, how much should be invested now?
(c) How long does it take for an investment at
8
%
per year compounded continuously to double in value?
For each given function f(x) find f'(x) using the rules learned in section 9.5.
1. f(x)=x32
32x
2. f(x)=7x+13
3. f(x) =
x4
4. f(x) = √√x³
5. f(x) = 3x²+
3
x2
Find:
lim x →-6 f (x)
limx-4 f (x)
lim x-1 f (x)
lim x →4 f (x)
(-6,3) •
(-1,5)
-8
-7
(-6,-2)
4+
(4,5)
(4,2) •
(-1,1)
-6
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