Question 1

The population of a town is increasing by 400 inhabitants each year.If its population at the beginning of 1990 was 22,289,what was its population at the beginning of 1997?
A) 25,089 people
B) 155,939 people
C) 24,689 people
D) 311,878 people

Accepted Answer

The population increases by 400 inhabitants each year. From 1990 to 1997 is 7 years, so the increase is 400 * 7 = 2800. Adding this to the initial population of 22,289 gives 22,289 + 2800 = 25,089.

Question 2

A) 
B) 
C) - 
D) not possible

Accepted Answer

The answer of 
A) 
B) 
C) - 
D) not possible...

Question 3

Keyana takes a job with a starting salary of $31,000 for the first year with an annual increase of 4.5% beginning in the second year.What is Keyana's salary,to the nearest dollar,at the end of the seventh year?
A) $40,370
B) $41,089
C) $38,930
D) $42,850

Accepted Answer

The answer of Keyana takes a job with a starting...

Question 4

A fund is to be established to pay annual scholarships of $ 1,000,continuing forever.The first scholarship is payable in one years from now.If the annual rate of compound interest is 2.5%,find the value of the fund.
A) $ 25,000
B) $ 30,000
C) $ 35,000
D) $ 40,000

Accepted Answer

The answer of A fund is to be established to...

Question 5

A) 65
B) 70
C) 44
D) 30

Accepted Answer

The answer of 
A) 65
B) 70
C) 44
D) 30...

Question 6

A theater has 24 rows with 30 seats in the first row,33 in the second row,36 in the third row,and so forth.How many seats are in the theater?
A) 1548 seats
B) 1584 seats
C) 3096 seats
D) 3168 seats

Accepted Answer

The number of seats in each row increases by 3. So, the number of seats in the 24th row is 30 + (24 - 1) * 3 = 93. The total number of seats is the sum of the number of seats in each row, which is (30 + 93) * 24 / 2 = 1548.

Question 7

A) 71
B) 90
C) 45
D) 33

Accepted Answer

The answer of 
A) 71
B) 90
C) 45
D) 33...

Question 8

To train for a race,Will begins by jogging 11 minutes one day per week.He increases his jogging time by 6 minutes each week.Write the general term of this arithmetic sequence,and find how many whole weeks it takes for him to reach a jogging time of one hour.
A)  = 6k + 5; 10 weeks
B)  = 6k + 11; 9 weeks
C)  = 6k + 5; 9 weeks
D)  = 6k + 11; 10 weeks

Accepted Answer

The answer of To train for a race,Will begins by...

Question 9

Bob wants to save for a house downpayment by making,on a first day of every month,deposits of $ 500 into an account earning 0.5% monthly compound interest.If the first deposit is made on January 1,2017,find the approximate value in Bob's account on December 31,2022.
A) $ 2,625
B) $ 35,059
C) $ 30,143
D) $ 34,885

Accepted Answer

The value in Bob's account can be calculated using the future value of a series formula for compound interest: $FV = P \times \frac{(1 + r)^n - 1}{r}$, where $P$ is the monthly deposit, $r$ is the monthly interest rate, and $n$ is the total number of deposits. Here, $P = 500$, $r = 0.005$ (0.5% monthly interest), and $n = 72$ (6 years of monthly deposits from January 2017 to December 2022). Plugging these values into the formula gives the future value of Bob's account, which is approximately $35,059.

Quiz 2: Applications and More Algebra

The population of a town is increasing by 400 inhabitants each year.If its population at the beginning of 1990 was 22,289,what was its population at the beginning of 1997?

Keyana takes a job with a starting salary of $31,000 for the first year with an annual increase of 4.5% beginning in the second year.What is Keyana's salary,to the nearest dollar,at the end of the seventh year?

A fund is to be established to pay annual scholarships of $ 1,000,continuing forever.The first scholarship is payable in one years from now.If the annual rate of compound interest is 2.5%,find the value of the fund.

A theater has 24 rows with 30 seats in the first row,33 in the second row,36 in the third row,and so forth.How many seats are in the theater?

To train for a race,Will begins by jogging 11 minutes one day per week.He increases his jogging time by 6 minutes each week.Write the general term of this arithmetic sequence,and find how many whole weeks it takes for him to reach a jogging time of one hour.

Bob wants to save for a house downpayment by making,on a first day of every month,deposits of $ 500 into an account earning 0.5% monthly compound interest.If the first deposit is made on January 1,2017,find the approximate value in Bob's account on December 31,2022.