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d=($$\frac{v_i+v_f)/}{2}$$)t

For an object that travels in a straight line with constant acceleration, the distance d that the object travels during time t is given by the formula shown, where v_i and v_f are the initial velocity and the final velocity of the object, respectively. A vehicle travelled distance of 32 kilometers along a straight route with constant acceleration. According to the formula, approximately how many minutes did it take the vehicle to travel the distance if the initial velocity and the final velocity of the vehicle were 14 meters per second and 20 meters per second, respectively?
An escalator installed at a new shopping mall operates at a speed of 90 feet per minute. The handrail of the escalator operates on a separate motor at a speed of 93 feet per minute. A person steps onto the escalator and, at the same time, grabs the handrail. Assuming that the person's hand and shoes do not move on the escalator in how many seconds will the person's hand have moved 0.25 foot more than the person's shoes?

_____seconds
A certain train travels 150 miles in h hours at the average rate of m miles per hour.

Quantity A

The number of hours required for the train to travel 320 miles at the average rate of 2m miles per hour

Quantity B

h
Last Saturday a cyclist started a 40-kilometer trip at 9 o`clock in the morning and rode at an average speed of 20 kilometers per hour for 45 minutes. The cyclist stopped to rest for x minutes and then rode at an average speed of 30 kilometers per hour until the trip was completed at 11 o`clock in the morning. What is the value of x?
In region A, 17 percent of the acres that are planted with corn are planted with a certain hybrid seed. In region B, which borders region A, 11 percent of the acres that are planted with corn are planted with the same hybrid seed.

Quantity A

Of all the acres planted with corn in region A and region B combined, the percent of acres that are planted with the hybrid seed

Quantity B

14%
$$r \gt s$$

List $$L$$ consists of $$r$$ values, and the average (arithmetic mean) of the values in $$L$$ is $$52.8$$. List $$M consists of $$s$$ values, and the average of the values in $$M$$ is $$54.2$$. List $$K$$ consists of the values in $$L$$ and the values in $$M$$.

Quantity A

The average of the values in $$K$$

Quantity B

$$53.5$$
A certain charity is conducting a fund-raiser. For the first $9,000 raised by the charity, Company B will contribute $1 for every $3 collected by the charity. For any amount over $9,000 raised by the charity, Company B will contribute $2 for every $5 collected by the charity. How much money must the charity raise in order to reach a total of $68,000, including the contribution from Company B?
Company A and B earn commission fees based on their sales.



If company A sells $3,000, then how much does company B have to sell such that company B earns the same commission fee as company A?


Tickets for a carnival are sold either individually or in packages of 10 tickets or 20 tickets at the costs shown in the table. A group of friends bought n tickets for the least possible total cost. A second group of friends bought more than n tickets for a total cost that was less than the first group`s total cost. Which of the following could be the value of n?

Indicate all such values.
A certain money market account that had a balance of $48,000 during all of last month earned $360 in interest for the month. At what simple annual interest rate did the account earn interest last month?
If someone puts away $1,000 in a bank with an annual simple interest rate of 3%, then at least by how many years will the account exceed $1,200?

_____years
At the beginning of a certain year, Jane opened a new savings account and a new money market account and deposited a total of $10,000 into the two accounts. The savings account and the money market account earned simple annual interest at the rates of 2 percent and 5 percent, respectively. There were no other transactions in the accounts. If the total amount of interest earned by the two accounts for the first 2 years after they were opened was $475, what was the amount that Jane deposited into the money market account?

$_____
A total of $48,000 was invested for one month in a new money market account that paid simple annual interest at the rate of r percent. If the investment earned $240 in interest for the month, what is the value of r?
$3,000 is the initial amount placed in an account and the interest compounds monthly, and the total value is $3,090 at the end of the first month. At the end of the second month, what fraction of the total interest of the two months is the interest of the second month?

Give your answer as a fraction.
Paul's family put $$m$$ dollars in a new savings account on May 2, 1990, and put the same number of dollars in the account on May 2, 1991, and again on May 2, 1992. If the annual interest rate on this account was 4 percent compounded annually and there were no other deposits to the account or withdrawals from the account, which of the following represents the total number of dollars in the account on May 2, 1993, just after interest had been compounded for the third time, in terms of $$m$$?
There are 10 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes?
The sum of n numbers is greater than 48. If the average (arithmetic mean) of the n numbers is 1.2, what is the least possible value of n?
3x+y=5x-y

Quantity A

x

Quantity B

y
5(x-y+20)=y+100

y≠0

Quantity A

$$\frac{x}{y}$$

Quantity B

1
$$x((75+y)+(15-y))=900$$

Quantity A

$$xy$$

Quantity B

$$10$$

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