All Answers 358512 Answers

distance = sqrt [  (15 -3)^2 + (12 - 7)^2 ]  = sqrt [ 12^2 + 5^2]  = sqrt [ 144 + 25 ]   = sqrt [169]  =  13  units

yes

5/6(1/2x+6)-3x   =   distribute the 5/6 over the terms in parentheses

(5/6)(1/2)x  + (5/6)(6/1) - 3x

(5/12)x + 30/6 - 3x

(5/12)x + 5 - 3x             3x  = (36/12)x

(5/12)x  + 5 - (36/12)x      combine like terms

(-31/12)x  +  5

Simplify the following:
-(2 x^2-4 x+2)+3 x^2+4 x-6

Factor 2 out of 2 x^2-4 x+2:
3 x^2+4 x-6-2 (x^2-2 x+1)

-2 (x^2-2 x+1) = -2 x^2+4 x-2:
-2 x^2+4 x-2+3 x^2+4 x-6

Grouping like terms, 3 x^2-2 x^2+4 x+4 x-6-2 = (3 x^2-2 x^2)+(4 x+4 x)+(-6-2):
(3 x^2-2 x^2)+(4 x+4 x)+(-6-2)

3 x^2-2 x^2 = x^2:
x^2+(4 x+4 x)+(-6-2)

4 x+4 x = 8 x:
x^2+8 x+(-6-2)

-6-2 = -8:
Answer: | 
| x^2+8 x+-8      The roots are:x = -2(2+sqrt(6))  and   x = 2(sqrt(6)-2)

7x - (25x^2 + 12x)      distribute the negative outside the parentheses over the terms inside

7x - 25x^2 -12x      combine like terms

-5x - 25x^2

4x - 1 = 81      add 1 to both sides

4x = 82    divide by 4 on both sides

x = 82/4 = 41/2

"D" is correct

"D" es correcta

SecA  = 1 / cos A

Tan (135°)  =   - 1

If you use simple interest at 12% on R900, then you have:

.12 X 900=R108 simple interest for 1 year or 12 months, therefore to get R135, we have:

135/108=1.25 years X 12=15 months to earn R135 @ 12%.

832.1

832.1

The perimeter = 2 [ L + W],....so.....

16 = 2 [ L + W]   or

8 = L + W

So...the possible combinatons are

1 + 7

2 + 6

3 + 5

4 + 4

5/2

x=4+- sqr 3?

Click on the "Formulary" tab on the calculator  and select "Geometry"  then "Sphere".......the volume calculation is the first one....key your radius in and then hit Enter

[ I think this is supposed to read..."Point X  is on AC such that......." ]

 Triangle AXB ≈ Triangle BXC

 AX/XB ≈ BX/XC

AX*XC  = XB*BX

AX*CX  = BX^2

(3CX)CX  = BX^2

3CX^2  = BX^2

sqrt(3)CX  = BX

Here's the pic :

The size of 2nd payment due in 7 years should be=$3,426.72

P.S. Sorry, I have been busy with your financial questions. Some of the answers maybe be approximate, because I took a shortcut in some of them. The formulae used are ALL the standard TVM formulae that are in your book. Many of these problems are relatively advanced, so you must be studying some sort of a college business or finance courses. I found some of them to be ambiguous, the way they are stated. So, if you have quibbles, let me know. I think you are a Canadian student!.

The deal of $20,000 now and $35,000 three years hence is better deal.

The difference is $50,891.56 - $50,000=$891.56

The PV of $2,500 should be=$1,723.01

The equivalent payment now should be=$4,780.12

In 27 months it should be worth             =$6,328.29

The proceeds of the promissory note should be=$3,366.53

The size of the final payment should be=$6,967.76