The amount of money, A ( t ) , in a savings account that pay 3% interest, compounded quarterly for t years, with an initial investment of P dollars, is given by A ( t ) = P ( 1 + 0.03 4 ) 4 t . If $500 is invested at 3%, compounded quarterly, how much will the investment be worth after 2 yr?
The amount of money, A ( t ) , in a savings account that pay 3% interest, compounded quarterly for t years, with an initial investment of P dollars, is given by A ( t ) = P ( 1 + 0.03 4 ) 4 t . If $500 is invested at 3%, compounded quarterly, how much will the investment be worth after 2 yr?
Solution Summary: The author explains that the initial investment is 500 compounded quarterly at 3% for 2 years. The Compound Interest can be obtained by using TI-83Plus calculator.
The amount of money,
A
(
t
)
, in a savings account that pay 3% interest, compounded quarterly for t years, with an initial investment of P dollars, is given by
A
(
t
)
=
P
(
1
+
0.03
4
)
4
t
.
If $500 is invested at 3%, compounded quarterly, how much will the investment be worth after 2 yr?
Use the properties of logarithms, given that In(2) = 0.6931 and In(3) = 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations. (Round your answers to four decimal places.)
(a) In(0.75)
(b) In(24)
(c) In(18)
1
(d) In
≈
2
72
Find the indefinite integral. (Remember the constant of integration.)
√tan(8x)
tan(8x) sec²(8x) dx
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