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Maria and John have been married for 2 years and just learned that they are pregnant.
1.
They have been renting a small apartment but decide to purchase a house.
They find one that is selling for \$375,000.
They decide to make a 20% down payment
They are considering 2 financing options:
Option 1:
a 3.4% interest 30-year mortgage:
Option 2:
a 2.9% interest 15-year mortgage:
A. Which option will result in a lower monthly payment if they take the full term of the
mortgage?
B. Which option will result in the most total interest if they take the full term of the
mortgage?
2.
They decide to shop for furnishings for the new house. They choose items that amount to
\$1,600.00. The store has 2 simple interest options for purchasing:
Option 1: 20% down payment and financing at 6.4% simple interest per year for 2 years.
Option 2: no down payment and financing at 6.5% simple interest for 3 years.
Answer each of the following questions separately, showing all your work to reach
A. Which option will result in smaller total finance charge?
B. Which option will result in the smaller monthly payment?
C. If they decide to defer any purchases and take a \$1,600 bonus that Maria will be
getting from work and invest it at 2.5% per year simple interest, how long will it
need to be invested to earn \$250 interest
D. If they decide to defer any purchases and invest the \$1600.00 bonus at 1.5% interest
compounded every month, how much interest will they earn in 3 years?
3.
Maria and John have decided that once they live in a house, they want to have a
pet. They go to an animal shelter and find several pets that they would love to take home.
There are 8 Siamese cats, 12 common cats, 6 German Shepherds, 5 Labrador Retrievers,
and 11 mixed-breed dogs. Since they can’t decide, they place all the adoption cards in a
container and draw one.
Answer each of the following questions separately, showing all your work to reach
4.
A.
What is the probability that they select a cat?
B.
What is the probability that they select either a common cat or a Labrador
Retriever dog?
C.
What is the probability that if they select a dog, that it is not a mixed breed?
D.
What are the odds in favor of and against choosing a Siamese cat?
Before the baby is born, John and Mary want to take a vacation to Gatlinburg, TN. They
can travel in January or August. They do some research about the weather in January and
in August in 2018. Using the information below answer the following questions.
Answer each of the following questions separately, showing all your work to reach
A.
In which month was the difference between the mean high temperature and the mean low
B.
In which month was the difference between the median high temperature and the median
Day
High
Low
(°F)
(°F)
1 jan 2018
27.0
12.0
2 jan 2018
18.0
3.0
3 jan 2018
26.1
3.0
4 jan 2018
33.1
15.1
5 jan 2018
21.9
6.1
6 jan 2018
23.0
6.1
7 jan 2018
26.1
3.9
8 jan 2018
35.1
5.0
9 jan 2018
37.0
27.0
10 jan 2018
46.9
30.9
11 jan 2018
64.9
30.9
12 jan 2018
64.0
48.0
13 jan 2018
61.0
25.0
14 jan 2018
25.0
18.0
15 jan 2018
27.0
15.1
16 jan 2018
44.1
19.0
17 jan 2018
39.0
10.9
18 jan 2018
16.0
3.9
19 jan 2018
32.0
3.0
20 jan 2018
45.0
12.0
21 jan 2018
50.0
28.9
22 jan 2018
60.1
30.0
23 jan 2018
64.0
36.0
24 jan 2018
52.0
30.0
25 jan 2018
45.0
24.1
26 jan 2018
50.0
23.0
27 jan 2018
54.0
24.1
Day
High
Low
(°F)
(°F)
28 jan 2018
59.0
42.1
29 jan 2018
51.1
41.0
30 jan 2018
48.9
27.0
31 jan 2018
35.1
19.9
Day
High
Low
(°F)
(°F)
1 aug 2018
75.9
64.0
2 aug 2018
68.0
64.9
3 aug 2018
70.0
64.9
4 aug 2018
78.1
64.0
5 aug 2018
79.0
64.0
6 aug 2018
82.0
64.0
7 aug 2018
80.1
64.9
8 aug 2018
82.0
64.9
9 aug 2018
82.0
64.9
10 aug 2018
79.0
62.1
11 aug 2018
77.0
62.1
12 aug 2018
75.9
64.9
13 aug 2018
79.0
62.1
14 aug 2018
79.0
61.0
15 aug 2018
78.1
60.1
16 aug 2018
80.1
61.0
17 aug 2018
84.0
60.1
18 aug 2018
84.0
66.0
Day
High
Low
(°F)
(°F)
19 aug 2018
75.9
66.0
20 aug 2018
75.0
64.9
21 aug 2018
82.0
66.0
22 aug 2018
78.1
66.0
23 aug 2018
73.0
60.1
24 aug 2018
73.0
54.0
25 aug 2018
77.0
53.1
26 aug 2018
78.1
60.1
27 aug 2018
80.1
60.1
28 aug 2018
81.0
63.0
29 aug 2018
82.9
63.0
30 aug 2018
81.0
64.0
31 aug 2018
79.0
64.9

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