Compound interest. If an amount P 0 is invested in a savings account and interest is compounded continuously at 4.3% per year, the balance P grows at the rate given by d P d t = 0.043 P . a. Find the function that satisfies the equation. Write it in terms of P 0 and 0.043. b. Suppose $20,000 is invested. What is the balance after 1 yr? After 2 yr? c. When will an investment of $20,000 double itself?
Compound interest. If an amount P 0 is invested in a savings account and interest is compounded continuously at 4.3% per year, the balance P grows at the rate given by d P d t = 0.043 P . a. Find the function that satisfies the equation. Write it in terms of P 0 and 0.043. b. Suppose $20,000 is invested. What is the balance after 1 yr? After 2 yr? c. When will an investment of $20,000 double itself?
Solution Summary: The author explains how to calculate the function that satisfies dPt=0.043P, based on the provided differential equation.
Compound interest. If an amount
P
0
is invested in a savings account and interest is compounded continuously at 4.3% per year, the balance P grows at the rate given by
d
P
d
t
=
0.043
P
.
a. Find the function that satisfies the equation. Write it in terms of
P
0
and 0.043.
b. Suppose $20,000 is invested. What is the balance after 1 yr? After 2 yr?
c. When will an investment of $20,000 double itself?
Ministry of Higher Education &
Scientific Research
Babylon University
College of Engineering -
Al musayab
Automobile Department
Subject :Engineering Analysis
Time: 2 hour
Date:27-11-2022
کورس اول تحليلات
تعمیر )
1st month exam / 1st semester (2022-2023)/11/27
Note: Answer all questions,all questions have same degree.
Q1/: Find the following for three only.
1-
4s
C-1
(+2-3)2 (219) 3.0 (6+1)) (+3+5)
(82+28-3),2-
,3-
2-1
4-
Q2/:Determine the Laplace transform of the function t sint.
Q3/: Find the Laplace transform of
1,
0≤t<2,
-2t+1,
2≤t<3,
f(t) =
3t,
t-1,
3≤t 5,
t≥ 5
Q4: Find the Fourier series corresponding to the function
0
-5
Ministry of Higher Education &
Scientific Research
Babylon University
College of Engineering -
Al musayab
Subject :Engineering Analysis
Time: 80 min
Date:11-12-2022
Automobile Department
2nd month exam / 1" semester (2022-2023)
Note: Answer all questions,all questions have same degree.
کورس اول
شعر 3
Q1/: Use a Power series to solve the differential equation:
y" - xy = 0
Q2/:Evaluate using Cauchy's residue theorem,
sinnz²+cosz²
dz, where C is z = 3
(z-1)(z-2)
Q3/:Evaluate
dz
(z²+4)2
Where C is the circle /z-i/-2,using Cauchy's residue theorem.
Examiner: Dr. Wisam N. Hassan
Ministry of Higher Education &
Scientific Research
Babylon University
College of Engineering -
Al musayab
Subject :Engineering Analysis
Time: 80 min
Date:11-12-2022
Automobile Department
2nd month exam / 1" semester (2022-2023)
Note: Answer all questions,all questions have same degree.
کورس اول
شعر 3
Q1/: Use a Power series to solve the differential equation:
y" - xy = 0
Q2/:Evaluate using Cauchy's residue theorem,
sinnz²+cosz²
dz, where C is z = 3
(z-1)(z-2)
Q3/:Evaluate
dz
(z²+4)2
Where C is the circle /z-i/-2,using Cauchy's residue theorem.
Examiner: Dr. Wisam N. Hassan
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