(1+x^2)^8
=(1+8x^2+8*7/(1*2)x^4+8*7*6/(1*2*3)x^6+8*7*6*5/(1*2*3*4)x^8+....)
=1+8x^2+28x^4+56x^6+70x^8+....)
For x<1, higher power terms diminish in value, hence we can approximate powers of numbers.
1.01=(1+0.1^2) => x=0.1 in the above expansion
(1.01)^8
=1+8(0.1^2)+28(0.1^4)+56(0.1^6) [ limited to four terms, as requested]
=1+0.08+0.0028+0.000056 (+0.00000070)
=1.082856 (approximately)
Answer:
The unit price is the price of a single unit.
To find it, you need to find the quotient between the total price and the number of objects you get for that price.
Brand A:
You get 25 spoons for $1.97
Then the unit price is:
unit price of brand A = $1.97/25 = $0.079
Brand B:
You get 48 spoons for $2.98
Then the unit price is:
unit price of brand B: $2.98/48 = $0.062
Here we can see that the unit price for brand B is smaller, then the better buy is brand B.
Answer:
<u>1/4</u>
Step-by-step explanation:
if you take the fraction 3/12 and divide it by 3 on both sides, you get the remaining fraction 1/4
Answer:
2
Step-by-step explanation:
8÷3.48=2.2988505747
∴needs 3 pieces.
3-1＝2
so 2 pieces need to add.
Answer: A) 2/3 is shaded. B) 66.67% is shaded.
Step-by-step explanation:
The whole big triangle holds 9 total triangles in it.
Out of the 9 triangles 6 of them are shaded so the fraction will be 6/9 which reduces to 2/3.
Now convert 2/3 to a decimal to find what percentage is shaded.
2/3 = 0.6666...
0.6666 * 100 = 66.666..
66.666 as a percent is 66.67%
