For Exercises 11–16, suppose that P dollars in principal is invested at an annual interest rate r . For interest compounded n times per year, the amount A ( t ) in the account after t years is given by A ( t ) = P ( 1 + r n ) n t . If interest is compounded continuously, the amount is given by A ( t ) = P e r t . Suppose an investor deposits $5000 in an account for 8 yr for which the interest is compounded quarterly. Find the total amount of money in the account for the following interest rates. Compare your answers and comment on the effect of interest rate on an investment. a. r = 4.5 % b. r = 5.5 % c. r = 7.0 % d. r = 9.0 %
For Exercises 11–16, suppose that P dollars in principal is invested at an annual interest rate r . For interest compounded n times per year, the amount A ( t ) in the account after t years is given by A ( t ) = P ( 1 + r n ) n t . If interest is compounded continuously, the amount is given by A ( t ) = P e r t . Suppose an investor deposits $5000 in an account for 8 yr for which the interest is compounded quarterly. Find the total amount of money in the account for the following interest rates. Compare your answers and comment on the effect of interest rate on an investment. a. r = 4.5 % b. r = 5.5 % c. r = 7.0 % d. r = 9.0 %
Solution Summary: The author calculates the total amount of money in the account after 8 years if compounded quarterly for 5000 invested at 4.5%.
For Exercises 11–16, suppose that P dollars in principal is invested at an annual interest rate r. For interest compounded n times per year, the amount
A
(
t
)
in the account after t years is given by
A
(
t
)
=
P
(
1
+
r
n
)
n
t
. If interest is compounded continuously, the amount is given by
A
(
t
)
=
P
e
r
t
.
Suppose an investor deposits $5000 in an account for 8 yr for which the interest is compounded quarterly. Find the total amount of money in the account for the following interest rates. Compare your answers and comment on the effect of interest rate on an investment.
a.
r
=
4.5
%
b.
r
=
5.5
%
c.
r
=
7.0
%
d.
r
=
9.0
%
• Plane II is spanned by the vectors:
P12
P2 = 1
• Subspace W is spanned by the vectors:
W₁ =
-- () ·
2
1
W2 =
0
Three streams - Stream A, Stream B, and Stream C - flow into a lake. The flow rates of these streams are
not yet known and thus to be found. The combined water inflow from the streams is 300 m³/h. The rate of
Stream A is three times the combined rates of Stream B and Stream C. The rate of Stream B is 50 m³/h less
than half of the difference between the rates of Stream A and Stream C.
Find the flow rates of the three streams by setting up an equation system Ax = b and solving it for x.
Provide the values of A and b. Assuming that you get to an upper-triangular matrix U using an elimination
matrix E such that U = E A, provide also the components of E.
dent Application X GA spinner is divided into five cox | +
9/26583471/4081d162951bfdf39e254aa2151384b7
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow,
and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red
5
Blue
11
Green
18
Yellow
5
Purple
7
Based on these results, express the probability that the next spin will land on purple as a
fraction in simplest form.
Answer Attempt 1 out of 2
Submit Answer
0
Feb 12
10:11 O
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