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Mathematics
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A Survey of Mathematics
Exam 10: Consumer Mathematics
Path 4
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Question 161
Multiple Choice
Solve the problem. -Suppose you saw an advertisement in the newspaper for a financial planner who was Recommending a certificate of deposit that paid 5.5% interest compounded quarterly. In the fine Print at the bottom of the advertisement, it stated that the APY on the CD was 5.61%. Was this Advertisement accurate?
Question 162
Multiple Choice
A partial payment is made on the date(s) indicated. Use the United States Rule to determine the balance due on the note at the date of maturity. (The Effective Date is the date the note was written.) Assume the year is not a leap year. -
Effective
Maturity
Partial
Payment
Principal
Rate
Date
Date
Amount
Date
$
400
May 30
$
1700
5.5
%
April 10
October 7
$
500
August 1
\begin{array} { l l l l l l } \hline & & \text { Effective } & \text { Maturity } & \text { Partial } & \text { Payment } \\\text { Principal } & \text { Rate } & \text { Date } & \text { Date } & \text { Amount }&\text { Date } \\\hline &&&& \$ 400 & \text { May 30 } \\{ \$ 1700 } &{ 5.5 \% } & { \text { April 10 } } & { \text { October 7 } } & \$ 500 & \text { August 1 } \\\hline\end{array}
Principal
$1700
Rate
5.5%
Effective
Date
April 10
Maturity
Date
October 7
Partial
Amount
$400
$500
Payment
Date
May 30
August 1
Question 163
Multiple Choice
Use a day counting table to determine the due date of the loan if the loan is made on the given date for the given number of days. -October 29 for 100 days (the due date is in a leap year)
Question 164
Multiple Choice
Solve the problem. -Determine the effective annual yield for $1 invested for 1 year at 3.5% compounded semiannually.
Question 165
Multiple Choice
Solve the problem. Where appropriate, round to the nearest tenth of a percent. -On a biology test, a student got 25 questions correct but did not pass. On a second attempt, the Student got 31 questions correct. What was the percent increase?
Question 166
Multiple Choice
Use a day counting table to find the exact number of days from the first date to the second date. Assume the year is not a leap year unless otherwise indicated. -January 4 to November 5 (the year is not a leap year)
Question 167
Multiple Choice
Use the sinking fund formula to determine the payment needed to reach the accumulated amount. Round the answer to the nearest cent. -Annual payments with 6.5% interest compounded annually for 23 years to accumulate$4000
Question 168
Essay
Solve the problem. -What is the meaning of ʺunearnedʺ interest?
Question 169
Multiple Choice
Use an annual percentage rate table to solve the problem. -A student has a total of $2000 in student loans that will be paid with a 48-month installment loan With monthly payments of $49.30. Determine the APR of the loan to the nearest one-half of a Percent.
Question 170
Multiple Choice
Use an annual percentage rate table to solve the problem. -The owner of an automobile repair center purchased new electronic diagnostic equipment for $12,000. He paid 15% down and then paid 60 monthly payments of $192.49. Determine the APR of The loan to the nearest one-half of a percent.
Question 171
Multiple Choice
Solve the problem. Round to the nearest hundredth. -What is 35% of 1020?
Question 172
Multiple Choice
Solve the problem. Use an annual percentage rate table if necessary. -Joan used a fixed installment loan from her bank to finance her home renovation project. She Borrowed $11,000 and has a 60 monthly payments of $212.67 each. Instead of making her 36th Payment, Joan decides to pay the remaining balance on the loan. How much interest will Joan save (use the actuarial method) ?
Question 173
Multiple Choice
Solve the problem -The regular selling price of an item is $140. For a special year-end sale the price is at a markdown Of 20%. Find the discount sale price.
Question 174
Multiple Choice
Solve the problem. -How much money should you invest now in order to have $80,000 in 21 years? Assume that the Money earns interest at 2.6%, compounded annually?
Question 175
Multiple Choice
Solve the problem. -On the September 1 billing date, Martin had a balance due of $991.93 on his credit card. The Transactions during the following month were:
September 3 Payment
$
92.95
September 9 Charge: airline ticket
$
505.27
September 22 Charge: shoes
$
71.36
September 29 Charge: garden tiller
$
210.16
\begin{array}{llcc} \text {September 3 } \text {Payment }&\$92.95 \\ \text { September 9} \text { Charge: airline ticket } &\$505.27\\ \text { September 22 } \text { Charge: shoes } &\$71.36\\ \text { September 29 } \text { Charge: garden tiller} &\$210.16\\\end{array}
September 3
Payment
September 9
Charge: airline ticket
September 22
Charge: shoes
September 29
Charge: garden tiller
$92.95
$505.27
$71.36
$210.16
The interest rate on the card is 1.4% per month. Using the average daily balance method, find the Finance charge on October 1 (September has 30 days) .
Question 176
Multiple Choice
Solve the problem. -On the January 2 billing date, Dano had a balance due of $1241.37 on his credit card. The Transactions during the following month were:
January
5
Charge: prescriptions
$
82.82
January
6
Payment
$
605.46
January
14
Charge: tickets
$
160.64
January
19
Charge: hotel
$
129.66
\begin{array}{lll}\text { January } 5 & \text { Charge: prescriptions } & \$ 82.82 \\\text { January } 6 & \text { Payment } & \$ 605.46 \\\text { January } 14 & \text { Charge: tickets } & \$ 160.64 \\\text { January } 19 & \text { Charge: hotel } & \$ 129.66\end{array}
January
5
January
6
January
14
January
19
Charge: prescriptions
Payment
Charge: tickets
Charge: hotel
$82.82
$605.46
$160.64
$129.66
The interest rate on the card is 1.6% per month. Using the previous balance method, find the Finance charge on February 2.
Question 177
Multiple Choice
Solve the problem. Where appropriate, round to the nearest tenth of a percent. -The graph below shows the number of internet host sites for five consecutive years. Find the Percent increase in host sites from 2008 to 2009. Round to the nearest percent.
Question 178
Multiple Choice
Solve the problem. -John Leeʹs savings account has a balance of $3856. After 2 years, what will the amount of interest Be at 4% compounded semiannually?
Question 179
Multiple Choice
Use the sinking fund formula to determine the payment needed to reach the accumulated amount. Round the answer to the nearest cent. -Quarterly payments with 7.3% interest compounded quarterly for 5 years to accumulate $85,000