Math 300 Final Practice

Enrique has a 60 month fixed installment loan with a montly payment of $66.74. The amount he borrowed was $3,000. Instead of making his 24th payment, Enrique is paying the remaining balance of the loan. How much interest will Enrique save?

$393.21

The ocean surface is at 0 ft elevation. A driver is underwater at an elevation of -240 ft near a rock formation. In this area, the ocean floor has an elevation of -330 ft. The rock formation rises to a peak 249 ft above the ocean floor. How many feet below the top of the rock formation is the diver?

- 159 ft

Write the continued fraction in the form p/q reduced to lowest terms. 1+1/1

- 17/14

Write the number as the sum of two primes. There may be more than one way to do this. The number is 44.

- 3+41 -7+37 -13+31

Select the smaller of the two given numbers. -| -12 |, -| -15 |

- |-15|

Find all the natural numbers of 42

-1,2,3,7,6,14,21,42

Find the number of divisors of 60

-12

Find the least common multiple of the numbers in the group: 45, 56. 150.

-12,600

Use the formula indicated to determine the prime factorization generated p=n^2-79n+1,601; n=5

-1231

List all the elements of B that belong to the specified set.

-2.828427125

Write the decimal as fraction in the lowest terms: 0.84

-21/25

Find the number of divisors of 360

-24

Three clocks chime every 21 minutes, 39 minutes, and 91 minutes, respectively. If the three clocks chime together, how much time must pass before they will chime together again?

-273

Find the greatest common factor of the numbers in the group: 12, 15, 24, 30.

-3

Give the prime factorization of the number 795

-3*5*53

How many monthly payments of $139.44 are necessary to pay off $4,000 loan if the add-on interest rate is 8.5%

-36 payments

Give the prime factorization of the number 4725

-3^3*5^2*7

Find the greatest common factor of the numbers in the group: 12, 28, 40.

-4

Write the number as the sum of two primes. There may be more than one way to do this. The number is 18

-5+13 -7+11

Find the least common multiple of the numbers in the group: 17,918 and 2,635.

-89,590

Decide whether the rational number yields a repeating or terminating decimal: 7/95

-Repeating

Four boys and three girls are seated in a​ row, at​ random, to watch a play. What is the probability that a girl is seated at each end of the​ row?

1/7

In bridge, 6 of one suit, 4 of another, and 3 of another?

= 0..133

The table shows the percentage of college students who prefer a given pizza topping. What is the probability that a randomly selected junior prefer meat toppings?

= 0.22%

The following table contains data from a study of two airlines which fly to small town USA. If one of the 87 flights is randomly selected find the probability that the flight selected is an Upstate Airlines flight given that it was late.

= 5/11

This double bar graph shows the number of male and female athletes at a university over a four-year period. What is the only year in which the number of female athletes declined from its previous value?

= Year 4

Find the monthly payment needed to amortize principal and interest for the following fixed rate mortgage. Mortgage amount: $112,500 Term of Mortgage: 25 years Interest rate: 10.0%

=$1,022.29

Find the future value of the deposit if the account pays simple interest. $1,420 at 2.3% for 7 years

=$1,648.62

On October 1, the unpaid balance in an account was $139. The finance charge rate was 1.3% per month. Find the finance change for the month of October.

=$1.81

On April 1 thr unpaid balance in an account was $119. A payment of $55 was made on April 8th on April 17th, a $37 dollar purchase was made. The finance charge rate was 1.15 % per month, find the new balance at the end of the month.

=$102.08

The cash price of a fitness system Is $789.99. The customer paid $80.00 as a down payment. The remainder will be paid in 36 monthly installments of $24.96. Find the amount of the finance charge.

=$188.57

Find the compound interest earned by the deposit. round to the neares cent. $12,000 at 2% compounded semiannually for 8 years.

=$2,070.94.

Use the compound interest formula to compute the future value of the investment. Round to the nearest cent. $1,780 at 1.4% compounded annually for 19 years

=$2,318.15

Find the total monthly payment, including taxes and insurance, on the following fixed rate mortgage. Amount of loan: $398,000 Interest rate:6.0% Term of loan: 30 years Annual taxes: $4,387 Annual insurance:$1,248

=$2,855.80

For the big "D" sales what were the total sales for the first six months of year 1?

=$290,000

Assume the simple interest is being calculated in each case. Allan borrowed $4,200 from his father to buy a car. He repaid him after 8 months with interest of 6% per year. Find the total amount he replied.

=$4,368.00

Use compound interest formula. $4,500 at 3% compounded monthly for 5 years

=$5,227.28

An item purchased for $2,000 with a down payment of $500. There is a finance charge of $100. Find the monthly payment is 24 payments are made.

=$66.67

Mike decides to buy shares of companies X and Y. At its peak, about how much more was stock Y worth than X?

=$75

Perform the operation and give the answer in lowest fraction terms. (-2/15)-(1/15)

=-1/5

Give the opposite then the absolute value of the number 6-4

=-2,2

Find the rational number halfway between the two given rational numbers: -3/4, -7/12

=-2/3

Use the information in the table to answer the question. What is the sum of the changes in 2005 and 2006 for decorations? :-11.5+5.6

=-5.9

Perform the operation and give the answer as a fraction in the lowest terms.(3/4)*(-8/11)

=-6/11

In poker, a royal flush (5 highest cards of single suit)?

=0.00000154

30.3% of the total area is to the right of the z.

=0.52

Two fair 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice is greater than 10?

=1/12

In an essay contest a teacher finds seven students have written excellent essays. Three of these students are Alicia, Pat, and David. What is the probability that Alicia will win first, Pat will win second, and David will win third prize?

=1/210

Suppose one card is selected at random from an ordinary deck of 52 card deck. Let A=event a diamond is selected B=event a club is selected Determine P (A| (Not B)).

=1/3 a diamond is selected

A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a spade?

=11/26

Perform the operation and reduce to the lowest terms: 2 7/17* 5 7/16

=13 31/272

A number cube labeled with numbers 1,2,3,4,5, and 6 is tossed. What are the odds in favor of the cube showing a number less than 3?

=1:2

Samuel consumed 2,109 calories of food Monday blah blah blah. How many calories must he assume on Thursday?

=2,515 calories

The normal monthly precipitation for August is listed for 20 different U.S. cities. Find the average of the data.

=2.94 in.

A spinner has regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of three?

=2/3

Find the effective annual interest rate for the given nominal annual interest rate. Round your answee to the nearest 0.01% 3.7% compounded hourly (assume 365 days per year)

=3.77%

Find the standard deviation: 180,105, 156, 275, 175, 125, 113, 227, 136

=56.0

A card is drawn at random from a standard deck. Find the probability that is neither an ace nor a heart?

=9/13

Find the percent of the total area under the curve between z=-1.68 and z=1.68.

=90.8%

And in which year were there the greatest amount of female athletes?

=Year 3

In a certain distribution of​ numbers, the mean is 50 and the standard deviation is 6. What can you say about the fraction of numbers that lie between 32 and​ 68? Use​ Chebyshev's theorem to solve the problem.

=at most 1/4

An unprepared student makes random guesses for a ten true-false question on a quiz. Find the probability that at least one is correct.

A. 1023/1024

Determine whether or not one or more pairs of twins primes exist between the pair of numbers: 32 and 41

A:NO

About how many students would you expect to prefer lectures in a school of 450 students?

B. About 81 Students

In a 2- card hand, what is the probability of holding on face cards? (Aces are not face cards)

C. 0.05

If two cards are drawn at random without replacement from a standard deck, find the probability that the second card is a spade, given the first card is a spade.

C. 4/17

Sixteen workers were surveyed on how long it takes them to travel to work, Represent the data in a double-stem display.

D. (20-24) 2| 0 0 0 2 3 4 4 (25-29) 2| 5 7 8 (30-34) 3| 0 2 (35-39) 3| 5 7 (40-44) 4| 1 2

The ages of the instructors at a local college are given below.

D. 3 | 4 5 6 8 4| 2 3 5 6 6 9 9 5| 5 7 8 6| 1 2

Determine whether or not one or more pairs of twin primes exist between the pair of numbers:81 and 100

D:NO