An investment grows exponentially under continuous compounding. After 2 yr , the amount in thee account is $ 7328.70. After 5 yr, the amount in the account is $ 8774.10. Use the model A t = P e r t to a. Find the interest rate r . Round to the nearest percent. b. Find the original principal P . Round the nearest dollar. c. Determine the amount of time required for the account to reach a value of $ 15 , 000. Round to the nearest year.
An investment grows exponentially under continuous compounding. After 2 yr , the amount in thee account is $ 7328.70. After 5 yr, the amount in the account is $ 8774.10. Use the model A t = P e r t to a. Find the interest rate r . Round to the nearest percent. b. Find the original principal P . Round the nearest dollar. c. Determine the amount of time required for the account to reach a value of $ 15 , 000. Round to the nearest year.
Solution Summary: The author calculates the interest rate r and round off to the nearest percent using the model A(t)=Pekt.
An investment grows exponentially under continuous compounding. After
2
yr
, the amount in thee account is
$
7328.70.
After
5
yr,
the amount in the account is
$
8774.10.
Use the model
A
t
=
P
e
r
t
to
a. Find the interest rate
r
.
Round to the nearest percent.
b. Find the original principal
P
.
Round the nearest dollar.
c. Determine the amount of time required for the account to reach a value of
$
15
,
000.
Round to the nearest year.
1. Given the vector field F(x, y, z) = -zi, verify the relation
1
VF(0,0,0) lim
+0+ volume inside S
ff F• Nds
S.
where S, is the surface enclosing a cube centred at the origin and having edges of length 2€. Then,
determine if the origin is sink or source.
Let a = (-4, 5, 4) and 6 = (1,0, -1).
Find the angle between the vector
1) The exact angle is cos
2) The approximation in radians is
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