For Exercises 61-70, use the model A = P e r t or A = P ( 1 + r n ) r t , where A is the future value of P dollars invested at interest rate r compounded continuously or n times per year for t years. (See Example 11) A $2500 bond grows to $3729.56 in 10 yr under continuous compounding. Find the interest rate. Round to the nearest whole percent.
For Exercises 61-70, use the model A = P e r t or A = P ( 1 + r n ) r t , where A is the future value of P dollars invested at interest rate r compounded continuously or n times per year for t years. (See Example 11) A $2500 bond grows to $3729.56 in 10 yr under continuous compounding. Find the interest rate. Round to the nearest whole percent.
Solution Summary: The author calculates the interest rate required when 2500 bond grows to 3729.56 in 10 years under compounded continuously.
For Exercises 61-70, use the model
A
=
P
e
r
t
or
A
=
P
(
1
+
r
n
)
r
t
, where A is the future value of P dollars invested at interest rate r compounded continuously or n times per year for t years. (See Example 11)
A $2500 bond grows to $3729.56 in 10 yr under continuous compounding. Find the interest rate. Round to the nearest whole percent.
Please help me with these questions. I am having a hard time understanding what to do. Thank you
Answers
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Q.1) Classify the following statements as a true or false statements:
a. If M is a module, then every proper submodule of M is contained in a maximal
submodule of M.
b. The sum of a finite family of small submodules of a module M is small in M.
c. Zz is directly indecomposable.
d. An epimorphism a: M→ N is called solit iff Ker(a) is a direct summand in M.
e. The Z-module has two composition series.
Z
6Z
f. Zz does not have a composition series.
g. Any finitely generated module is a free module.
h. If O→A MW→ 0 is short exact sequence then f is epimorphism.
i. If f is a homomorphism then f-1 is also a homomorphism.
Maximal C≤A if and only if is simple.
Sup
Q.4) Give an example and explain your claim in each case:
Monomorphism not split.
b) A finite free module.
c) Semisimple module.
d) A small submodule A of a module N and a homomorphism op: MN, but
(A) is not small in M.
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