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1/10+1/10+1/10+1/10+1/10+1/10+1/10+1/0+1/10+1/10=1! 

the answer is one :)

4 7/8 yards is almost 5 yards. To make certain that you have enough fabric, round up.

3 dresses at 5 yard each is 15 yards. 

I love math (not easy questions).

Math won't be fun if it's hard, but it's not hard if it's fun. 

I don't know..... 

wow

OK, rosala...look at this.....

Notice that if I have 3³, I'm just really doing this.......3 * 3  * 3 = 27

So, look at our "formula"

We have ........4096 x (1 + r/n)^nt .......note that the interest rate given is 12.5%.......but that's the rate for a yearly compounding.....we must divide this by 2, because we are compounding on a half-year basis !!!!

So...n = 2  (the number of compoundings per year) and r/n =12.5/2 = .0625........with me, so far????

Now...look at the "nt" exponent........n is the number of copoundings per year and t is the number of years. So, if we compounded for 1 + 1/2 years, that would be 3 compoundings   (2 the first year and one more for the next half-year !!). So, "nt" just  equals    (2 times / year)*(1 +1/2 years) = 3 times !!!

OK.......let's put all of this together...we have......

4096*(1 + .0625)³ ......notice that the expression in the parentheses is really just   1.0625........so this gives us........4096*(1 .0625)³

Now, forget the "4095" part and let's just look at the (1 .0625)³  part.....note what this really says is similar to our 3³ example earlier....it says that we really have this:

(1.0625) * (1.0625) * (1,0625).......so now, let's add the "4096" part back and we have.....

4096 *(1.0625) * (1.0625) * (1,0625)    ...so......the first compounding is represented by the first multiplication......and 4096 * 1.0625 = 4352...and that's how much we have after one compounding (i.e., after the first half-year)

And the next multiplication  is just  taking this amount and multiplying again by 1.0635 = 4352 * 1.0625 = 4624...and this is the amount after the second compounding (i.e., one year).

So the final multiplication is just our accumulted anount (4624) multiplied again by 1.0625 = 4913 !!!! And that's the amount after 1 +1/2 years  !!!!!

Note that the result is growiing ever larger......hence the term, "compounding"

Also.....note that it would be extremely tedious using my example method if we had to calculate half-year compoundings for 30 years......we would have to multiply the initial amount by 1.0625 .......60 tmes !!!!

Fortunately....the modern calculator relieves us of this burden with the use of the x^y key !!!

Does all this "resolve" the "mystery" some ????

Which answer? I don't know what the question is.

1. If 4cos²A = 3cosA  then one solution is cosA = 0 which occurs when A =90°

Another solution is when cosA ≠ 0, then you can cancel a cosA from both sides leaving 4cosA = 3 or cosA = 3/4. However, in the range 90°≤A≤180° cosA is 0 or negative, so cannot be 3/4.  Therefore the only solution is A = 90°

2. Rewrite the second equation as 3tan²A - 2tanA -1 = 0

This can be factored as (3tanA + 1)*(tanA - 1) = 0 so either tanA = -1/3 or tanA = 1

In the range 0°≤A≤90° tanA must be positive, so the only solution is tanA = 1 or A = tan^-1(1) or A = 45°

.

m^6 = (m^3)*(m^3)  so m^6 = 10*10 = 100

p^2 = p*p  so p = √(p^2)  so p = √5

Therefore (m^6)*p = 100√5  ≈ 223.6

.

Assuming they both travel at the same speed and, hence both have travelled 400 miles, then the paths they have taken, together with the straight line between their end points, form an isosceles triangle.  If the distance between them is x then

x/2 = 400*sin(23°/2)  so x = 800*sin(11.5°) miles

$${\mathtt{x}} = {\mathtt{800}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{11.5}}^\circ\right)} \Rightarrow {\mathtt{x}} = {\mathtt{159.494\: \!347\: \!533\: \!6}}$$

x = 159.5 miles to the nearest tenth of a mile.

There should be a button on the calculator "S=D" symbol varies

If you need a decimal approximation, use the calculator.

For an exact reduced answer, find a perfect square that divides into 72.

Of the perfect squares less than 100:  100  81  64  49  36  25  16  9  4  1

36 is the largest perfect square that divides into 72:  72  =  36 x 3

√72  =  √36 · √2  =  6√2

It is 8.4852813742385703

37,000 ÷ 10 × 3 = 11,100 

You can use the calculator from this site to find the answer.

918/9  =  102

102 - 3 - 4 + 2  =                                        

What seems to give you an incorrect answer?

1.25%  = 0.0125                   (Divide by 100; move the decimal point two places to the left.)

1.25% of 10000  =  0.0125 x 10 000  =                      (you can use a calculator, if you need to)

thats a easy one of course the answer would all simple down to fish 

7.55E7  =  75 500 000

(75 500 000) ^ (3/2)  

For an approximation, use a calculator; if you need an exact, reduced value, post back.

Rate is Distance divided by Time

Rate is Amount divided by Time

obviously 22 is the answer