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.
T
1
7. Fill in the blanks to write the calculus problem that would result in the following integral (do
not evaluate the interval). Draw a graph representing the problem.
So
π/2
2 2πxcosx dx
Find the volume of the solid obtained when the region under the curve
on the interval
is rotated about the
axis.
38,189
5. Draw a detailed graph to and set up, but do not evaluate, an integral for the volume of the
solid obtained by rotating the region bounded by the curve: y = cos²x_for_ |x|
≤
and the curve y
y =
about the line
x =
=플
2
80
F3
a
FEB
9
2
7
0
MacBook Air
3
2
stv
DG
Find f(x) and g(x) such that h(x) = (fog)(x) and g(x) = 3 - 5x.
h(x) = (3 –5x)3 – 7(3 −5x)2 + 3(3 −5x) – 1
-
-
-
f(x) = ☐
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