MATHEMATICS

1.     Use the compound interest formula to compute the total amount accumulated and the interest earned.

$9500 for 3 years at 6.5% compounded monthly

The total amount accumulated after

3 years is

$[removed]

(Round to the nearest cent as needed.)

The amount of interest earned is

$[removed]

(Round to the nearest cent as needed.)

 

2.     Interest is compounded semianually. Find the amount in the account and the interest earned after the given time.

 

Principal Rate of Interest Time
$4000 8% 3 years

The amount in the account is

$[removed]

(Do not round until the final answer. Then round to the nearest cent as needed.)

The interest earned is

$[removed]

(Do not round until the final answer. Then round to the nearest cent as needed.)

 

3.     Determine the monthly payment for the installment loan.

Amount Financed (P) Annual Percentage Rate (r) Number of Payments per Year (n) Time in Years (t)
$13,000 5.5% 12 3

The monthly payment is

$[removed]

(Round to the nearest cent as needed.

 

4.     Determine the monthly principal and interest payment for a

15-year mortgage when the amount financed is $75,000

and the annual percentage rate (APR) is 8.0%.

 

The monthly principal and interest payment is

$[removed]

(Round to the nearest cent as needed.) If you can not click on the table here is the amount $9.55652 listed in the table

5.     The Fritzes are buying a house that sells for $188,000. The bank is requiring a minimum down payment of 20%. To obtain a 35-year mortgage at 12.5% interest, they must pay 3points at the time of closing.

a) Determine the required down payment.

b) Determine the amount of the mortgage on the property with the 20% down payment.

c) Find the cost of 3points on the mortgage.

a) The required down payment is

$[removed]

b) The mortgage on the property is

$[removed]

c) The cost of the 3points on the mortgage is

$[removed]

(Round to the nearest dollar as needed.)

 

6.     Change the number to a percent.

1/10equals=[removed]%

(Type an integer or a decimal.)

 

7. Express the given decimal as a percent.0.0193

 

8. The information below shows the percent of employees who take time off during one year because of colds. A company has 8770 employees. Use the graph to find the number of them who miss work because of colds for 1 to 2 days each year.

How many employees miss work 1 to 2 days per year because of colds?

[removed]

(Simplify your answer. Round to the nearest whole number.)

A circle graph titled Days Off consists of a circle divided into 6 regions with labels and sizes as a percentage of the circle as follows: 1 to 2, 24 percent; 3 to 4, 6 percent; 5 to 6, 3 percent; 7 or more, 4 percent; 0, 53 percent; Don’t know, 10 percent.

 

9.

Students at a high school were polled to determine the type of music they preferred. There were 1940

students who completed the poll. Their responses are represented in the circle graph. What percent of students

preferred rock and rollmusic?

About [removed]% of the students who completed the poll preferred rock and roll music.

(Round to one decimal place as needed.)

A circle graph titled Music Preferences consists of a circle divided into 6 regions with labels and sizes as follows: rap, 893; alternative, 475; rock and roll, 284; country, 171; jazz, 24; other, 93.

 

10. Determine the simple interest. The rate is an annual rate. Assume 360 days in a year.

p=$270, r=2.5%, t=4 years

The simple interest is

$[removed]

(Round to the nearest cent as needed.)

 

11. Use the compound interest formula to compute the total amount accumulated and the interest earned.

$9500for 4 years at 3.5% compounded monthly

The total amount accumulated after 4 years is

$[removed]

(Round to the nearest cent as needed.)

The amount of interest earned is

$[removed]

(Round to the nearest cent as needed.

 

12. Interest is compounded semianually. Find the amount in the account and the interest earned after the given time.

 

Principal Rate of Interest Time
$2000 4% 3 years

The amount in the account is

$[removed]

(Do not round until the final answer. Then round to the nearest cent as needed.)

The interest earned is

$[removed]

(Do not round until the final answer. Then round to the nearest cent as needed.

 

13. Determine the monthly principal and interest payment for a 20-year mortgage when the amount financed is $265,000 and the annual percentage rate (APR) is 4.5%.
Click here for table of Monthly Payments

LOADING…

If you can not click on the table here is the amount 7.64993 listed in the table

 

The monthly principal and interest payment is

$[removed]

(Round to the nearest cent as needed.)

 

14. Karen Guardino is purchasing a brownstone townhouse for $1,850,000. The mortgage broker she is working with is requiring her to make a 20% down payment. The current mortgage rate is 5.0%.

a) Determine the amount of the required down payment.
b) Determine the monthly principal and interest payment for a 30-year loan with a 20% down payment.


Click here for table of Monthly Payments

LOADING…

a) The required down payment is

$[removed]

b) The monthly mortgage payment is

$[removed]

(Round to the nearest cent as needed.)

If you cannot click on the table here is the amount 5.36822 listed in the table

 

15. The Fritzes are buying a house that sells for $83,000.The bank is requiring a minimum down payment of 15%. To obtain a 20-year mortgage at 10.0% interest, they must pay 3 points at the time of closing.

a) Determine the required down payment.

b) Determine the amount of the mortgage on the property with the 15% down payment.

c) Find the cost of 3 points on the mortgage.

a) The required down payment is $[removed]b) The mortgage on the property is $[removed]

 

c) The cost of the 3 points on the mortgage is $[removed](Round to the nearest dollar as needed.)

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