1 second = <span>0.000000001 Giga seconds
500 * </span>0.000000001 = <span>0.0000005 Giga seconds</span>
There are two ways to find the answer. You could use cross-product or common denominator. To get the common denominator, change the denominators to 12 by multiplying both sides of 2/3 by 4. This gives you 8/12. 8/12 is less than 11/12.
Cross-product is easier and more time saving than changing into common denominators, though. In order to do this, set up your fractions vertically. Multiply the numerator of the first by the denominator of the second. Place the product above the second fraction. Then, multiply the numerator of the second fraction by the denominator of the first. Next, place the product above the first fraction. Then compare the two products. Whichever fraction has the greater number on top is the greater fraction. To do this, 11x3 is 33. Write that over 2/3. 2x12 is 24. Write that over 11/12. Since 33 is greater than 24, 2/3 is greater.
The final answer is: 11/12<2/3.
Answer:
Option (D)
Step-by-step explanation:
Area of a rectangle = Length × width
Area of large rectangle = (3x - 1)(3x + 7) square units
= (9x² + 21x - 3x - 7)
= 9x² + 18x - 7
Area of small rectangle = (2x + 5)x
= (2x² + 5x) square units
Area of the shaded region = Area of large rectangle - Area of small rectangle
= (9x²+ 18x - 7) - (2x² + 5x)
= (9x² - 2x²) + (18x - 5x) - 7
= (7x² + 13x - 7) square units
Therefore, Option (D) will be the correct option.
Answer:
D
Step-by-step explanation:
Here, we want to select which of the options explains the scenario in the question.
Firstly, 1,000 shares were purchased at $10 per share.
Mathematically the total amount of shares bought will be 10 * 1000 = $10,000
Also, we have the growth rate as 12.5% = 12.5/100 = 0.125
Thus, representing the scenario with a function, we have;
A(t) = 10,000 e0.125t
Think about it like this.
1/2 is a simplified version of 4/8.
So then putting it back into the original equation:
7/8 * 4/8 = 7/16 or 0.4375
The final answer would be 7/16 because there isn’t another way to simplify that.
I hope that makes sense, let me know if you have any questions.
