All Answers 355983 Answers

1 < x < 4

Simplify the following:
3×4 x x+8×3 (x-2)

3 x×4 x = 3 x^2×4:
3×4 x^2+8×3 (x-2)

3×4 = 12:
12 x^2+8×3 (x-2)

8×3 = 24:
12 x^2+24 (x-2)

24 (x-2) = 24 x-48:
24 x-48+12 x^2

Factor 12 out of 12 x^2+24 x-48:
Answer: |12 (x^2 + 2x - 4)

how to convert 7,360,000 in scientific notation?

7.36 x 10^6 in scientific notation.

I have assumed that the APR rates are compounded monthly. Therefore:

The 15-year mortgage @ 3.848% will have a monthly payment=$695.49 principal + interest.

The 30-year mortgage @ 4.808% will have a monthly payment =$445.26 principal + interest.

So, $695.49 - $445.26 =$250.23 is the difference in the two monthly payments.

well, the formula for resistance is R=PL / A where L=length. lets choose random numbers to start with, say 1, 2 and 3, and plonk them in the formula. so 1*2 / 3 which equals 0.666666... now, lets triple L so now the formula is 1*6 / 3 equals 2, which is triple 0.666666... so now lets check with different numbers, say 5,7 and 14.  5*7 / 14 equals 2.5. now we triple L to get 5*21 / 14 equals 7.5 . so if the length triples, so does the resistance.

If the cross-sectional area, temperature, and material type of a conductor remains fixed, but the length of the conductor is tripled, what happens to the conductor resistance?

He tripled

to acess sin^-1 on the calculator, look at the top left of the calculator and press ' 2nd ' and select asin.

"Zero coupon" means that no interest is paid on this bond until maturity. The bond will mature at par value or $100. Basically, what you do here is to find the PV of that $100 par value at maturity. You have to calculate the number of semi-annual periods between the maturity date and the purchase date. There are 27 even semi-annual periods and 1 odd period between Nov. 19, 2029 and the maturity date of Jan. 31, 2030. There are 73 days between those two dates. And there are 181 days in the last semi-annual period between Nov. 19, 2029 and May 19, 2030.

So, we have 27 semi-annual periods + 73/181 =27.4033149 periods.

So, now we use the common TVM formula:

PV=FV [1 + .07/2]^-27.4033149

PV=100 x 0.3896

PV=$38.96 The price of this zero coupon bond.

i can't figure this out because it has to equal something, say 5, to be possible to work out.

30 + 2N  < 20 + 3N    subtract 2N, 20 from each side

10 < N 

Movie Mania will be cheaper after 10 rentals

1kg = 1000g so 3kg= 3000g

if 3000g of sweets costs £12.99 then 1g of sweets should be 12.99/3000 pounds. the answer is 0.00433 pounds which is 433/1000* of a penny (or 0.433 pence) per gram of sweets.

* this fraction cant be simplified further because 433 is prime.

and also i live in a country that uses euros and cents but for your convenience i am using pounds and pence ;)

cool thanks :)

General equation:

e^(i*x) = cos(x) + i*sin(x).       (1)

e^(i*pi/2) = cos(pi/2) + i*sin(pi/2) = i.       (2)

Take logs of both sides of (2)
i*pi/2 = ln(i)       (3)

Let y = i^i.    (4)

Take logs of both sides?of (4)
ln(y) = i*ln(i)      (5)

Use (3) in (5)
ln(y) = i*i*pi/2 so ln(y) = -pi/2   (6)

Exponentiate both sides of 
y = e^(-pi/2) or y = 0.207879...

Use equation(1) but with x = pi to get e^(i*pi) = -1

     what is -3x to the third power -4 *-1 =4 - 27x^3

2*2*2*2

Duh hahaha my bad. Thanks a lot

x^{2y^3} = x*x*x

          \_____/

          2*y*y*y

7 (7/10)=

(7 / 1)  * (7 / 10)  =

49 / 10

                                                                    5

top number divided by bottom number so ---- is 5/8 which is 0.625

                                                                    8

I don't speak english so fluently, so I used peak regardless of the direction the opening faces, sorry.

Could you explain to me why 7 (7/10) would = 49/10?

area of a shape where n=number of sides and a=length of each side (this formula only works when all sides are the same length)

             na²               

     4 tan(180/n)

1 meter ≈  39.37 in

2ft, 6in  =  30 inches

So

30 / 39.37 ≈  0.762 m