120138 subtract both and that would be the answer
Answer:
4
Step-by-step explanation:
square root of 18 is 4.2426 so round that and it is 4
Answer:
i = 4.68698 % to five decimal places.
Step-by-step explanation:
Let
i = annual rate of return
t = number of years = 4
using the compound interest formula,
12382500 = 10309500 (1+i)^4
rearrange
(1+i)^4 = 12382500 / 10309500
take log on both sides,
4log(1+i) = log(12382500 / 10309500)
solve for i
log(1+i) = (1/4)log(12382500 / 10309500)
1+i = e^((1/4)log(12382500 / 10309500))
i = e^((1/4)log(12382500 / 10309500)) -1
i = 0.0468698287401117
Expanding 8x^3, we multiply 8*8 and x^3 by x^3 to get 64x^6. Since we know that the cube root of 64 is 4, we can separate that. Next, since you add exponents while multiplying, 6/3 is the exponent for the cube root of x^6=x^2. Therefore, your answer is 4x^2
Answer:
Parallel Line: y = 3x - 5
Perpendicular Line: y = -1/3x + 25/3
Step-by-step explanation:
The equation given is a linear equation in slope-intercept form, y = mx + b, where m = slope and b = y-intercept. With lines that are parallel to each other, they containt the same slope. So, to form an equation of a line that is parallel to the first equation, the slope = 3. Using the given point (4, 7), x = 4 and y = 7, we can use our slope-intercept form to solve for 'b':
7 = (3)(4) + b or 7 = 12 + b or b = -5
So, our equation for a parallel line would be: y = 3x - 5.
For perpendicular lines, the slope must be the opposite reciprocal of the slope from the first equation. So, if m = 3, than the slope of the perpendicular line must be - 1/3. Using the same point (4, 7) we can use our slope-intercept form to solve for 'b':
7 = (-1/3)(4) + b or 7 = -4/3 + b or b = 25/3
So, our equation for a perpendicular line would be: y = -1/3x + 25/3
