i.

To calculate: The monthly interest rate and then write a recursive rule for the amount of money owe after n months. It is given that you take out a five years loan of $10,000 to buy a car. The loan has an annual interest rate of 6.5% compounded monthly. Each month you make a monthly payment of $196.

The interest rate is 0.54% . The required rule is a1=10000,an=1.0054an−1−196,n≥2 .

Given information:

It is given that you take out a five years loan of $10,000 to buy a car. The loan has an annual interest rate of 6.5% compounded monthly. Each month you make a monthly payment of $196.

Calculation:

Consider the given information.

The loan has an annual interest rate of 6.5% compounded monthly, so the monthly interest rate is 6.5%12=0.54% .

The loan amount was $10,000 and in the second month the monetary debt will increase by 0.54% and amount paid is $196.

a2=1+0.54%10000−196=1.005410000−196

So, the recursive rule can be a1=10000,an=1.0054an−1−196,n≥2

ii.

To calculate: The amount owes after 12 months.

After 12 months the amount owe is $8395.135 approximately.

Given information:

It is given that you take out a five years loan of $10,000 to buy a car. The loan has an annual interest rate of 6.5% compounded monthly. Each month you make a monthly payment of $196.

Calculation:

Consider the given information.

Step 1: Enter the value of a1=10000 into the cell A1.

Step 2: Enter the formula “=1.0054*A1-196” into cell A2 and fill down command to copy the recursive equation into the rest of column A.

After 12 months the amount owe is $8395.135 approximately.

iii.

To calculate: The number of months to repay the loan if you had decided to pay an additional $50 with each monthly payment.

47 months are required to pay the loan.

Given information:

It is given that you take out a five years loan of $10,000 to buy a car. The loan has an annual interest rate of 6.5% compounded monthly. Each month you make a monthly payment of $196.

Calculation:

Consider the given information.

The recursive rule was a1=10000,an=1.0054an−1−196,n≥2

Now if paying $50 more then the new recursive rule will be:

an=1.0054an−1−196−50,n≥2an=1.0054an−1−246,n≥2

New rule: a1=10000,an=1.0054an−1−246,n≥2 .

By using the graphing utility:

Thus, it required 47 months to repay the loan because the first term less than 0 is a48=−248 .

iv.

To identify: That is, it beneficial to pay the additional $50 with each payment.

Yes, it is beneficial to pay the additional $50.

Given information:

It is given that you take out a five years loan of $10,000 to buy a car. The loan has an annual interest rate of 6.5% compounded monthly. Each month you make a monthly payment of $196.

Explanation:

Consider the given information.

It is beneficial to pay the additional $50 because the monthly rate increases the det each month.

If $50 extra will be paid then they need to pay less interest and will repay it faster and have less increases.

Chapter 7.5, Problem 6MRPS

Chapter 7.5, Problem 8MRPS

Chapter 7 Solutions

Holt Mcdougal Larson Algebra 2: Student Edition 2012

Ch. 7.1 - Prob. 1GP Ch. 7.1 - Prob. 2GP Ch. 7.1 - Prob. 3GP Ch. 7.1 - Prob. 4GP Ch. 7.1 - Prob. 5GP Ch. 7.1 - Prob. 6GP Ch. 7.1 - Prob. 7GP Ch. 7.1 - Prob. 8GP Ch. 7.1 - Prob. 9GP Ch. 7.1 - Prob. 10GP

Ch. 7.1 - Prob. 11GP Ch. 7.1 - Prob. 12GP Ch. 7.1 - Prob. 13GP Ch. 7.1 - Prob. 14GP Ch. 7.1 - Prob. 1E Ch. 7.1 - Prob. 2E Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E Ch. 7.1 - Prob. 9E Ch. 7.1 - Prob. 10E Ch. 7.1 - Prob. 11E Ch. 7.1 - Prob. 12E Ch. 7.1 - Prob. 13E Ch. 7.1 - Prob. 14E Ch. 7.1 - Prob. 15E Ch. 7.1 - Prob. 16E Ch. 7.1 - Prob. 17E Ch. 7.1 - Prob. 18E Ch. 7.1 - Prob. 19E Ch. 7.1 - Prob. 20E Ch. 7.1 - Prob. 21E Ch. 7.1 - Prob. 22E Ch. 7.1 - Prob. 23E Ch. 7.1 - Prob. 24E Ch. 7.1 - Prob. 25E Ch. 7.1 - Prob. 26E Ch. 7.1 - Prob. 27E Ch. 7.1 - Prob. 28E Ch. 7.1 - Prob. 29E Ch. 7.1 - Prob. 30E Ch. 7.1 - Prob. 31E Ch. 7.1 - Prob. 32E Ch. 7.1 - Prob. 33E Ch. 7.1 - Prob. 34E Ch. 7.1 - Prob. 35E Ch. 7.1 - Prob. 36E Ch. 7.1 - Prob. 37E Ch. 7.1 - Prob. 38E Ch. 7.1 - Prob. 39E Ch. 7.1 - Prob. 40E Ch. 7.1 - Prob. 41E Ch. 7.1 - Prob. 42E Ch. 7.1 - Prob. 43E Ch. 7.1 - Prob. 44E Ch. 7.1 - Prob. 45E Ch. 7.1 - Prob. 46E Ch. 7.1 - Prob. 47E Ch. 7.1 - Prob. 48E Ch. 7.1 - Prob. 49E Ch. 7.1 - Prob. 50E Ch. 7.1 - Prob. 51E Ch. 7.1 - Prob. 52E Ch. 7.1 - Prob. 53E Ch. 7.1 - Prob. 54E Ch. 7.1 - Prob. 55E Ch. 7.1 - Prob. 56E Ch. 7.1 - Prob. 57E Ch. 7.1 - Prob. 58E Ch. 7.1 - Prob. 59E Ch. 7.1 - Prob. 60E Ch. 7.1 - Prob. 61E Ch. 7.1 - Prob. 62E Ch. 7.1 - Prob. 63PS Ch. 7.1 - Prob. 64PS Ch. 7.1 - Prob. 65PS Ch. 7.1 - Prob. 66PS Ch. 7.1 - Prob. 67PS Ch. 7.1 - Prob. 68PS Ch. 7.1 - Prob. 1P Ch. 7.1 - Prob. 2P Ch. 7.1 - Prob. 3P Ch. 7.1 - Prob. 4P Ch. 7.1 - Prob. 5P Ch. 7.1 - Prob. 6P Ch. 7.2 - Prob. 1GP Ch. 7.2 - Prob. 2GP Ch. 7.2 - Prob. 3GP Ch. 7.2 - Prob. 4GP Ch. 7.2 - Prob. 5GP Ch. 7.2 - Prob. 6GP Ch. 7.2 - Prob. 1E Ch. 7.2 - Prob. 2E Ch. 7.2 - Prob. 3E Ch. 7.2 - Prob. 4E Ch. 7.2 - Prob. 5E Ch. 7.2 - Prob. 6E Ch. 7.2 - Prob. 7E Ch. 7.2 - Prob. 8E Ch. 7.2 - Prob. 9E Ch. 7.2 - Prob. 10E Ch. 7.2 - Prob. 11E Ch. 7.2 - Prob. 12E Ch. 7.2 - Prob. 13E Ch. 7.2 - Prob. 14E Ch. 7.2 - Prob. 15E Ch. 7.2 - Prob. 16E Ch. 7.2 - Prob. 17E Ch. 7.2 - Prob. 18E Ch. 7.2 - Prob. 19E Ch. 7.2 - Prob. 20E Ch. 7.2 - Prob. 21E Ch. 7.2 - Prob. 22E Ch. 7.2 - Prob. 23E Ch. 7.2 - Prob. 24E Ch. 7.2 - Prob. 25E Ch. 7.2 - Prob. 26E Ch. 7.2 - Prob. 27E Ch. 7.2 - Prob. 28E Ch. 7.2 - Prob. 29E Ch. 7.2 - Prob. 30E Ch. 7.2 - Prob. 31E Ch. 7.2 - Prob. 32E Ch. 7.2 - Prob. 33E Ch. 7.2 - Prob. 34E Ch. 7.2 - Prob. 35E Ch. 7.2 - Prob. 36E Ch. 7.2 - Prob. 37E Ch. 7.2 - Prob. 38E Ch. 7.2 - Prob. 39E Ch. 7.2 - Prob. 40E Ch. 7.2 - Prob. 41E Ch. 7.2 - Prob. 42E Ch. 7.2 - Prob. 43E Ch. 7.2 - Prob. 44E Ch. 7.2 - Prob. 45E Ch. 7.2 - Prob. 46E Ch. 7.2 - Prob. 47E Ch. 7.2 - Prob. 48E Ch. 7.2 - Prob. 49E Ch. 7.2 - Prob. 50E Ch. 7.2 - Prob. 51E Ch. 7.2 - Prob. 52E Ch. 7.2 - Prob. 53E Ch. 7.2 - Prob. 54E Ch. 7.2 - Prob. 55E Ch. 7.2 - Prob. 56E Ch. 7.2 - Prob. 57E Ch. 7.2 - Prob. 58E Ch. 7.2 - Prob. 59E Ch. 7.2 - Prob. 60E Ch. 7.2 - Prob. 61E Ch. 7.2 - Prob. 62E Ch. 7.2 - Prob. 63PS Ch. 7.2 - Prob. 64PS Ch. 7.2 - Prob. 65PS Ch. 7.2 - Prob. 66PS Ch. 7.2 - Prob. 67PS Ch. 7.2 - Prob. 68PS Ch. 7.2 - Prob. 69PS Ch. 7.3 - Prob. 1GP Ch. 7.3 - Prob. 2GP Ch. 7.3 - Prob. 3GP Ch. 7.3 - Prob. 4GP Ch. 7.3 - Prob. 5GP Ch. 7.3 - Prob. 6GP Ch. 7.3 - Prob. 7GP Ch. 7.3 - Prob. 8GP Ch. 7.3 - Prob. 1E Ch. 7.3 - Prob. 2E Ch. 7.3 - Prob. 3E Ch. 7.3 - Prob. 4E Ch. 7.3 - Prob. 5E Ch. 7.3 - Prob. 6E Ch. 7.3 - Prob. 7E Ch. 7.3 - Prob. 8E Ch. 7.3 - Prob. 9E Ch. 7.3 - Prob. 10E Ch. 7.3 - Prob. 11E Ch. 7.3 - Prob. 12E Ch. 7.3 - Prob. 13E Ch. 7.3 - Prob. 14E Ch. 7.3 - Prob. 15E Ch. 7.3 - Prob. 16E Ch. 7.3 - Prob. 17E Ch. 7.3 - Prob. 18E Ch. 7.3 - Prob. 19E Ch. 7.3 - Prob. 20E Ch. 7.3 - Prob. 21E Ch. 7.3 - Prob. 22E Ch. 7.3 - Prob. 23E Ch. 7.3 - Prob. 24E Ch. 7.3 - Prob. 25E Ch. 7.3 - Prob. 26E Ch. 7.3 - Prob. 27E Ch. 7.3 - Prob. 28E Ch. 7.3 - Prob. 29E Ch. 7.3 - Prob. 30E Ch. 7.3 - Prob. 31E Ch. 7.3 - Prob. 32E Ch. 7.3 - Prob. 33E Ch. 7.3 - Prob. 34E Ch. 7.3 - Prob. 35E Ch. 7.3 - Prob. 36E Ch. 7.3 - Prob. 37E Ch. 7.3 - Prob. 38E Ch. 7.3 - Prob. 39E Ch. 7.3 - Prob. 40E Ch. 7.3 - Prob. 41E Ch. 7.3 - Prob. 42E Ch. 7.3 - Prob. 43E Ch. 7.3 - Prob. 44E Ch. 7.3 - Prob. 45E Ch. 7.3 - Prob. 46E Ch. 7.3 - Prob. 47E Ch. 7.3 - Prob. 48E Ch. 7.3 - Prob. 49E Ch. 7.3 - Prob. 50E Ch. 7.3 - Prob. 51E Ch. 7.3 - Prob. 52E Ch. 7.3 - Prob. 53E Ch. 7.3 - Prob. 54E Ch. 7.3 - Prob. 55E Ch. 7.3 - Prob. 56E Ch. 7.3 - Prob. 57PS Ch. 7.3 - Prob. 58PS Ch. 7.3 - Prob. 59PS Ch. 7.3 - Prob. 60PS Ch. 7.3 - Prob. 61PS Ch. 7.3 - Prob. 62PS Ch. 7.3 - Prob. 1Q Ch. 7.3 - Prob. 2Q Ch. 7.3 - Prob. 3Q Ch. 7.3 - Prob. 4Q Ch. 7.3 - Prob. 5Q Ch. 7.3 - Prob. 6Q Ch. 7.3 - Prob. 7Q Ch. 7.3 - Prob. 8Q Ch. 7.3 - Prob. 9Q Ch. 7.3 - Prob. 10Q Ch. 7.3 - Prob. 11Q Ch. 7.3 - Prob. 12Q Ch. 7.3 - Prob. 13Q Ch. 7.3 - Prob. 14Q Ch. 7.3 - Prob. 15Q Ch. 7.3 - Prob. 16Q Ch. 7.3 - Prob. 1MRPS Ch. 7.3 - Prob. 2MRPS Ch. 7.3 - Prob. 3MRPS Ch. 7.3 - Prob. 4MRPS Ch. 7.3 - Prob. 5MRPS Ch. 7.3 - Prob. 6MRPS Ch. 7.3 - Prob. 7MRPS Ch. 7.3 - Prob. 8MRPS Ch. 7.3 - Prob. 1DC Ch. 7.3 - Prob. 2DC Ch. 7.4 - Prob. 1GP Ch. 7.4 - Prob. 2GP Ch. 7.4 - Prob. 3GP Ch. 7.4 - Prob. 4GP Ch. 7.4 - Prob. 5GP Ch. 7.4 - Prob. 6GP Ch. 7.4 - Prob. 7GP Ch. 7.4 - Prob. 8GP Ch. 7.4 - Prob. 1E Ch. 7.4 - Prob. 2E Ch. 7.4 - Prob. 3E Ch. 7.4 - Prob. 4E Ch. 7.4 - Prob. 5E Ch. 7.4 - Prob. 6E Ch. 7.4 - Prob. 7E Ch. 7.4 - Prob. 8E Ch. 7.4 - Prob. 9E Ch. 7.4 - Prob. 10E Ch. 7.4 - Prob. 11E Ch. 7.4 - Prob. 12E Ch. 7.4 - Prob. 13E Ch. 7.4 - Prob. 14E Ch. 7.4 - Prob. 15E Ch. 7.4 - Prob. 16E Ch. 7.4 - Prob. 17E Ch. 7.4 - Prob. 18E Ch. 7.4 - Prob. 19E Ch. 7.4 - Prob. 20E Ch. 7.4 - Prob. 21E Ch. 7.4 - Prob. 22E Ch. 7.4 - Prob. 23E Ch. 7.4 - Prob. 24E Ch. 7.4 - Prob. 25E Ch. 7.4 - Prob. 26E Ch. 7.4 - Prob. 27E Ch. 7.4 - Prob. 28E Ch. 7.4 - Prob. 29E Ch. 7.4 - Prob. 30E Ch. 7.4 - Prob. 31E Ch. 7.4 - Prob. 32E Ch. 7.4 - Prob. 33E Ch. 7.4 - Prob. 34E Ch. 7.4 - Prob. 35E Ch. 7.4 - Prob. 36E Ch. 7.4 - Prob. 37PS Ch. 7.4 - Prob. 38PS Ch. 7.4 - Prob. 39PS Ch. 7.4 - Prob. 40PS Ch. 7.4 - Prob. 41PS Ch. 7.4 - Prob. 42PS Ch. 7.4 - Prob. 1DC Ch. 7.4 - Prob. 2DC Ch. 7.4 - Prob. 3DC Ch. 7.4 - Prob. 4DC Ch. 7.5 - Prob. 1GP Ch. 7.5 - Prob. 2GP Ch. 7.5 - Prob. 3GP Ch. 7.5 - Prob. 4GP Ch. 7.5 - Prob. 5GP Ch. 7.5 - Prob. 6GP Ch. 7.5 - Prob. 7GP Ch. 7.5 - Prob. 8GP Ch. 7.5 - Prob. 9GP Ch. 7.5 - Prob. 10GP Ch. 7.5 - Prob. 11GP Ch. 7.5 - Prob. 12GP Ch. 7.5 - Prob. 1E Ch. 7.5 - Prob. 2E Ch. 7.5 - Prob. 3E Ch. 7.5 - Prob. 4E Ch. 7.5 - Prob. 5E Ch. 7.5 - Prob. 6E Ch. 7.5 - Prob. 7E Ch. 7.5 - Prob. 8E Ch. 7.5 - Prob. 9E Ch. 7.5 - Prob. 10E Ch. 7.5 - Prob. 11E Ch. 7.5 - Prob. 12E Ch. 7.5 - Prob. 13E Ch. 7.5 - Prob. 14E Ch. 7.5 - Prob. 15E Ch. 7.5 - Prob. 16E Ch. 7.5 - Prob. 17E Ch. 7.5 - Prob. 18E Ch. 7.5 - Prob. 19E Ch. 7.5 - Prob. 20E Ch. 7.5 - Prob. 21E Ch. 7.5 - Prob. 22E Ch. 7.5 - Prob. 23E Ch. 7.5 - Prob. 24E Ch. 7.5 - Prob. 25E Ch. 7.5 - Prob. 26E Ch. 7.5 - Prob. 27E Ch. 7.5 - Prob. 28E Ch. 7.5 - Prob. 29E Ch. 7.5 - Prob. 30E Ch. 7.5 - Prob. 31E Ch. 7.5 - Prob. 32E Ch. 7.5 - Prob. 33E Ch. 7.5 - Prob. 34E Ch. 7.5 - Prob. 35E Ch. 7.5 - Prob. 36E Ch. 7.5 - Prob. 37E Ch. 7.5 - Prob. 38E Ch. 7.5 - Prob. 39E Ch. 7.5 - Prob. 40E Ch. 7.5 - Prob. 41E Ch. 7.5 - Prob. 42E Ch. 7.5 - Prob. 43PS Ch. 7.5 - Prob. 44PS Ch. 7.5 - Prob. 45PS Ch. 7.5 - Prob. 46PS Ch. 7.5 - Prob. 47PS Ch. 7.5 - Prob. 48PS Ch. 7.5 - Prob. 1Q Ch. 7.5 - Prob. 2Q Ch. 7.5 - Prob. 3Q Ch. 7.5 - Prob. 4Q Ch. 7.5 - Prob. 5Q Ch. 7.5 - Prob. 6Q Ch. 7.5 - Prob. 7Q Ch. 7.5 - Prob. 8Q Ch. 7.5 - Prob. 9Q Ch. 7.5 - Prob. 10Q Ch. 7.5 - Prob. 11Q Ch. 7.5 - Prob. 12Q Ch. 7.5 - Prob. 13Q Ch. 7.5 - Prob. 14Q Ch. 7.5 - Prob. 15Q Ch. 7.5 - Prob. 16Q Ch. 7.5 - Prob. 17Q Ch. 7.5 - Prob. 18Q Ch. 7.5 - Prob. 19Q Ch. 7.5 - Prob. 1P Ch. 7.5 - Prob. 2P Ch. 7.5 - Prob. 3P Ch. 7.5 - Prob. 4P Ch. 7.5 - Prob. 5P Ch. 7.5 - Prob. 6P Ch. 7.5 - Prob. 1.1P Ch. 7.5 - Prob. 1.2P Ch. 7.5 - Prob. 1.3P Ch. 7.5 - Prob. 1.4P Ch. 7.5 - Prob. 1.5P Ch. 7.5 - Prob. 1.6P Ch. 7.5 - Prob. 1.7P Ch. 7.5 - Prob. 1.8P Ch. 7.5 - Prob. 1.9P Ch. 7.5 - Prob. 1.10P Ch. 7.5 - Prob. 1.11P Ch. 7.5 - Prob. 1.12P Ch. 7.5 - Prob. 1MRPS Ch. 7.5 - Prob. 2MRPS Ch. 7.5 - Prob. 3MRPS Ch. 7.5 - Prob. 4MRPS Ch. 7.5 - Prob. 5MRPS Ch. 7.5 - Prob. 6MRPS Ch. 7.5 - Prob. 7MRPS Ch. 7.5 - Prob. 8MRPS Ch. 7.5 - Prob. 9MRPS Ch. 7 - Prob. 1VE Ch. 7 - Prob. 2VE Ch. 7 - Prob. 3VE Ch. 7 - Prob. 4VE Ch. 7 - Prob. 5REAE Ch. 7 - Prob. 6REAE Ch. 7 - Prob. 7REAE Ch. 7 - Prob. 8REAE Ch. 7 - Prob. 9REAE Ch. 7 - Prob. 10REAE Ch. 7 - Prob. 11REAE Ch. 7 - Prob. 12REAE Ch. 7 - Prob. 13REAE Ch. 7 - Prob. 14REAE Ch. 7 - Prob. 15REAE Ch. 7 - Prob. 16REAE Ch. 7 - Prob. 17REAE Ch. 7 - Prob. 18REAE Ch. 7 - Prob. 19REAE Ch. 7 - Prob. 20REAE Ch. 7 - Prob. 21REAE Ch. 7 - Prob. 22REAE Ch. 7 - Prob. 23REAE Ch. 7 - Prob. 24REAE Ch. 7 - Prob. 25REAE Ch. 7 - Prob. 26REAE Ch. 7 - Prob. 27REAE Ch. 7 - Prob. 28REAE Ch. 7 - Prob. 29REAE Ch. 7 - Prob. 30REAE Ch. 7 - Prob. 31REAE Ch. 7 - Prob. 32REAE Ch. 7 - Prob. 33REAE Ch. 7 - Prob. 34REAE Ch. 7 - Prob. 35REAE Ch. 7 - Prob. 36REAE Ch. 7 - Prob. 37REAE Ch. 7 - Prob. 38REAE Ch. 7 - Prob. 1T Ch. 7 - Prob. 2T Ch. 7 - Prob. 3T Ch. 7 - Prob. 4T Ch. 7 - Prob. 5T Ch. 7 - Prob. 6T Ch. 7 - Prob. 7T Ch. 7 - Prob. 8T Ch. 7 - Prob. 9T Ch. 7 - Prob. 10T Ch. 7 - Prob. 11T Ch. 7 - Prob. 12T Ch. 7 - Prob. 13T Ch. 7 - Prob. 14T Ch. 7 - Prob. 15T Ch. 7 - Prob. 16T Ch. 7 - Prob. 17T Ch. 7 - Prob. 18T Ch. 7 - Prob. 19T Ch. 7 - Prob. 20T Ch. 7 - Prob. 21T Ch. 7 - Prob. 22T Ch. 7 - Prob. 23T Ch. 7 - Prob. 24T Ch. 7 - Prob. 25T Ch. 7 - Prob. 26T Ch. 7 - Prob. 27T Ch. 7 - Prob. 28T Ch. 7 - Prob. 29T Ch. 7 - Prob. 30T Ch. 7 - Prob. 31T Ch. 7 - Prob. 32T Ch. 7 - Prob. 33T Ch. 7 - Prob. 1P Ch. 7 - Prob. 2P Ch. 7 - Prob. 1TP Ch. 7 - Prob. 2TP Ch. 7 - Prob. 3TP Ch. 7 - Prob. 4TP Ch. 7 - Prob. 5TP Ch. 7 - Prob. 6TP Ch. 7 - Prob. 7TP Ch. 7 - Prob. 8TP Ch. 7 - Prob. 9TP Ch. 7 - Prob. 10TP Ch. 7 - Prob. 11TP Ch. 7 - Prob. 12TP Ch. 7 - Prob. 13TP Ch. 7 - Prob. 14TP Ch. 7 - Prob. 15TP Ch. 7 - Prob. 16TP Ch. 7 - Prob. 17TP Ch. 7 - Prob. 18TP Ch. 7 - Prob. 19TP Ch. 7 - Prob. 20TP

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