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48/-12=-4

Can I please get a step by step explanation with an equation. Thanks a lot.

x2-3x+2=0

2x-3x+2=0

-x+2=0

x=2

what is 2 times 1/2

2 X 1/2=2/2=1

(√5 * √20)^2  = ?

How do I answer the above in detail?

(√5 * √20)^2  =100

Simplify the following:
(sqrt(5) sqrt(20))^2

sqrt(20)  =  sqrt(4×5)  =  sqrt(2^2×5):
(sqrt(5) sqrt(2^2 5))^2

sqrt(2^2 5)  =  sqrt(2^2) sqrt(5)  =  2^(2/2) sqrt(5)  =  2 sqrt(5):
(sqrt(5)×2 sqrt(5))^2

sqrt(5)×2 sqrt(5) = 5×2:
5×2^2

Multiply each exponent in 5×2 by 2:
5^2×2^2

2^2 = 4:
5^2×4

5^2 = 25:
25×4

25×4  =  100:
Answer: | 
| 100

three n squared =(3n)^2=9n^2

how much interest is being paid if the loan is $8000, with an interest rate of 8% every 3 years

Your question isn't very clear. If you don't pay any principal then it's very simple:

$8,000 X .08=$640 per year,

$640 X 3=$1,920 total interest for three years.

However, when you have a bank loan like this one, you are required to pay monthly payments, which include both principal and interest. So, this loan wold have monthly payments of $250.69, assuming the 8% interest rate is compounded monthly. So, over three year period you would pay $250.69 X 36 months=$9,024.84, principal plus interest. So, $9024.84 - $8,000=$1,024.84 is the interest.

10 year bond 13% interest =4000000 annual interest. what is the principal?

I assume your interest above is 40,000.00. is that is the case, then the principal would be:

40,000 / .13=307,692.31

With that principal  at 13% you would receive 40,000 per year for 10 years.

Mrs. Johnson harvested 107 pounds of tomatoes from her garden. She sold them for 0.85 a pound. How much did she receive for selling all the tomatoes.

Since Mrs, Johnson got .85 pence per pound, then it follows that:

107 X .85=90.95  total pounds for her tomatoes.

Relativistic particles speed through the atmosphere of the Earth at 0.6c. If the upper atmosphere is 500 km from the ground, from the perspective of an observer on Earth, how long does it take the particles to travel that distance? What equation do I use to solve this this?

Since the speed of light, in a vacuum, is 299,792,458m/s, then it follows that light can travel 500Km X 1,000m=500,000m in 500,000/299,792,458=1/600 of 1 second. Of course, in reality it takes a little longer that because of the effects of the atmosphere on the particle in question. Also, relativistic effects are NOT taken into account because it complicates things.

It is a calculator that has built in it all or most of the common functions used in science and math, such as sin, cos, tan, logs, powers, roots.....etc.

Irrational numbers do NOT need ANY solutions!!.They are NOT problems in search of solutions. You may not quite understand what an "irrational" number means. You should ask your teacher to explain it to you rigorously.

33 1/3% of $660 is the same as:=.33333....X $660=$220 (rounded)

F(x)= -2(x+5)(x+5)(x+5)(x-3)

F(x) = -2 (x-3) (x+5)^3

x = -5  and  x = 3

31/56 + 29/70=271/280

how do i solve a question like (2x to the power of 1/3)(-4x to the power of 5/3) ?

(2x^1/3)(-4x^5/3)=-1024/3 2^(1/3) x^(16/3)

taylor is a goalie instructor for hockey teams in kamloops. he invested $1800 to save for new equipment. he invested the money for 24 weeks in a GIC. The Interest rate is 1.75%?yr. what is the total amount he can spend on new equipment.

($1,800 X .0175)/52  X 24=$14.54 Interest Taylor earned for 24 weeks.

$1,800 + $14.54=$1,814.54 Total amount he can spend.

The highest power of x is 4.

g(x) is a quartic polynomial.

\(\dfrac {14x}{7x^2+1} = \dfrac {\frac {14}{x}}{7 + \frac{1}{x^2}} \\ \mbox{As }x \to \infty \mbox{ we have } \\ \dfrac {14}{x} \to 0 \\ \dfrac 1{x^2} \to 0 \\ \mbox{so }\dfrac {14x}{7x^2+1} =\dfrac {\frac {14}{x}}{7 + \frac{1}{x^2}} \underset{x\to \infty}{\to} \dfrac {0}{7} = 0 \\ \mbox{and thus }y=0 \mbox{ is the horizontal asymptote.}\)

derivate of sin2x=

d/dx(sin(2 x)) = 2 cos(2 x)

-13y+20

2x + 6=2(x + 3)

What is the biggest number you had count with?

200

I assume the 32 is under the square root sign, so:  \(\sqrt{-32} \rightarrow\sqrt{-2\times16}\rightarrow\sqrt{-2\times4^2}\rightarrow0+ i4\sqrt2\)