Recent Pre-Calculus Questions

"For Guru2009 only

1. Using the formula for simple interest and the given values, find I.
P=$200; r=6%; t=4 years; I=?
I=$__

2. Using the formula for simple interest, I=Prt, to find the indicated quantity.
I=$36; r=6%; t=3 months; P=?
P=$___

3. Determine the present value P you must invest to have value A at simple interest rate r after t.
A=$2000.00, r = 14.5%, t=26 weeks
$___ (Round to the nearest cent)

4. A radio commercial for a loan company states: “You only pay 29 cents a day for each $500 borrowed. “ If you borrow $1,922 for 235 days, what amount will you repay, and what annual interest rate is the company actually charging? (assume a 360-day year)
a. Amount you repay=$___ (Round to two decimal places)
b. Annual interest rate=___% (Round to four decimal places)

5. Use the compound interest formula to find the future value A for the following values.
P=$500
I=0.045
N=25
A=$___ (Round to the nearest cent)

6. Given the annual interest rate and the compounding period, find i, the interest rate per compounding period.

8% compounding monthly
i=___% per month (Type an integer or decimal rounded to the nearest thousandth as needed)

7. Given the rate per compounding period, find r, the annual rate.
4.325% per quarter
R=___% (Round to three decimal places as needed)
8. A newborn child receives a $5000 gift toward a college education from her grandparents. How much will the $5000 be worth in 18 years if it is invested at 6% compounded quarterly?
It will be worth$___ (Round to the nearest cent)

9. Find I (the rate per period) and n (the number of periods) for the following annuity.
Quarterly deposits of $1,100 are made for 5 years into an annuity that pays 6% compounded quarterly.
I=___ (Type an integer or decimal rounded to four decimals places as needed)
N=___
10. Recently, More Money 4U offered an annuity that pays 5.1% compounded monthly. If $922 is deposited into this annuity every month, how much is in the account after 4 years? How much of this is interest?
Type the amount in the account: __ (Round to the nearest dollar)
Type the amount of interest earned: $___ (Round to the nearest dollar)

11. A company estimates that it will need $157,000 in 9 years to replace a computer. If it establishes a sinking fund by making fixed monthly payments into an account paying 5.4% compounded monthly, how much should each payment be?
The amount of each payment should be $___ (Round to the nearest cent)

12. Solve the following problem
PV=$23,897; n=92; i=0.035; PMT=?;
PMT=$___ (Round to two decimal places)

13. American General offers a 14 year-year annuity with a guaranteed rate of 4.81% compounded annually. How much should you pay for one of these annuities if you want to receive payments of $900 annually over the 14 year period?
How much should a customer pay for this annuity?
$___ (Round to the nearest cent)

14. You want to purchase an automobile for $27,046. The dealer offers you 0% financing for 60 months or a $4974 rebate. You can obtain 6.3% financing for 60 months at the local bank. Which option should you choose?
___ Rebate
___ 0% financing
How much money will you save per month?
$___ (Round to two decimal places)

15. Construct the amortization schedule for a $14,000 debt that is to be amortized in 10 equal payments at 6% interest per half-year on the unpaid balance.
Fill out the amortization schedule below. Round all values to the nearest cent
Payment Number Payment Interest Unpaid Balance Reduction Unpaid Balance
0 $___
1 $___ $___ $___ $___
2 $___ $___ $___ $___

Hello, i have a 25 question pre-calc test that i need help on. I would like to use the answers from you to verify my answers. I will need all the work shown. Can you do that?

1.What is LM given the following measures and QPST is congruent to JKLM?

PS=6.3,ST=5.2,TQ=7.4,QP=4.8

2.The area of a triangle is 861 square centimeters.The length of the base is 82 centimeters.What is the height of the triangle?

3.If p varies directly with q,and p=10 when q=2,what is the value of p when q=20?

4:Simplify: The square root of 28/25

5:Factor the expression: c^2 + 4c + 4

6:State the converse of the statement: If x is odd,then 2x is even

7:Simplify 5^The square root of x^16

8:Solve for x: 2x^2 - 5x =12

9:Solve for c: A = 1/3(a + b + c)

10:Subtract and simplify: (2x^2 + 5x - 4) - (3x^2 - 7x + 1)

11:Expand and simplify: (3a - 2)(4a + 5)

12:Simplify (-12x^3y^4 + 18x^2y^3 + 6x^2y^2) divided by 6x^2y^2

13:Factor the expression: 6x^3y - 9x^2y^2 + 3x^2y

14:Simplify completely: The square root of 18y^5

15:Factor completely: 81x^4 - 16

16: The areas of two similar rectangles are 80 square feet and 500 square feet.What is the scale factor of the larger to smaller rectangle?

17:Solve the system: x + 3y = 1
-2x + y + -23

18:Use the quadratic equation y= x^2 + 3x - 10.
Calculate the discriminant to determine the number of real roots.

19:Solve for x: 2x^2 - 32 = 0

20:Factor: x^2 - 7x + 12

21:Use the quadratic equation y = x^2 + 3x - 10.

22:Simplify: -27a^3b^2/3ab

If answers have a corresponding number next to them (Example, 1: 2:....Etc) a tip will be added.