Paying off a mortgage Repeat exercise 17, but now assume that the mortgage is 20-year mortgage for $ 80 , 000 and the annual rate is 8 % . 17 . Paying off a mortgage. Assume that you have taken out a 30-year mortgage for $ 100 , 000 at an annual rate of 6 % . a. Use Table 8.6 on page 432 to find the monthly payment for this mortgage. b. Construct the first three lines of an amortization schedule for this mortgage. c. Assume that you have decided to pay an extra $100 per month to pay off the mortgage more quickly. Find the first three lines of your payment schedule under this assumption.
Paying off a mortgage Repeat exercise 17, but now assume that the mortgage is 20-year mortgage for $ 80 , 000 and the annual rate is 8 % . 17 . Paying off a mortgage. Assume that you have taken out a 30-year mortgage for $ 100 , 000 at an annual rate of 6 % . a. Use Table 8.6 on page 432 to find the monthly payment for this mortgage. b. Construct the first three lines of an amortization schedule for this mortgage. c. Assume that you have decided to pay an extra $100 per month to pay off the mortgage more quickly. Find the first three lines of your payment schedule under this assumption.
Solution Summary: The author calculates the monthly payment for a 20-year mortgage at an annual rate of 8% and the annual interest rate r.
Paying off a mortgage Repeat exercise 17, but now assume that the mortgage is 20-year mortgage for
$
80
,
000
and the annual rate is
8
%
.
17. Paying off a mortgage. Assume that you have taken out a 30-year mortgage for
$
100
,
000
at an annual rate of
6
%
.
a. Use Table 8.6 on page 432 to find the monthly payment for this mortgage.
b. Construct the first three lines of an amortization schedule for this mortgage.
c. Assume that you have decided to pay an extra $100 per month to pay off the mortgage more quickly. Find the first three lines of your payment schedule under this assumption.
Examples: Solve the following differential equation using Laplace transform
(e) ty"-ty+y=0 with y(0) = 0, and y'(0) = 1
Examples:
Solve the following differential equation using Laplace transform
(a) y" +2y+y=t with y(0) = 0, and y'(0) = 1
Temperature for Sudbury
(degrees Celsius)
3.
The following table gives the mean monthly temperatures for Sudbury, Ontario and
Windsor, Ontario. Each month is represented by the day of the year in the middle of the month.
Month
Day of Year
Temperature for Windsor
(degrees Celsius)
January
15
-13.7
-4.7
February
45
-11.9
-3.8
March
75
-5.9
2.3
April
106
3.0
8.7
May
136
10.6
14.6
June
167
15.8
20.2
July
197
18.9
22.6
August
228
17.4
22.0
September
259
12.2
17.9
October
289
6.2
11.5
November
320
-1.2
4.8
December
350
-10.1
-1.2
a) Create a scatter plot of temperature vs. day of the year for each city.
b) Draw the curve of best fit for each graph.
c) Use your graphs to estimate when the temperature increases fastest, for each set of
temperature data. Explain how you determined these values.
d) Use your graphs to estimate the rate at which the temperature is increasing at the two
times
from question 3.
e) Determine an equation of a sinusoidal function to model the data for each city
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