Answer:
114m^2
Step-by-step explanation:
At first it looks like you can split this into 3 rectangles, but the easier way is to subtract the area that is cut out from the larger rectangle. In this image, we have an outer rectangle that measures 12m x 14m. In the middle, there is a 9x6 rectangular hole. Subtract the area of the hole from the total area of the rectangle.
Total area = 12 * 14 = 168
Area of hole = 6 * 9 = 54
Area left = Total area - Area of hole
= 168 - 54
= 114m^2
72.1 into a fraction would be 721 / 10 (improper fraction) In a proper fraction, it would be 72 1/72.
Answer:
4 weeks
Step-by-step explanation:
Answer:
(-2, -3)
(3, 12)
Step-by-step explanation:
To solve this, we're gonna get rid of the y's with substitution
x² + 2x - 3 = 3x + 3
Let's make this equation equal to zero
Subtract 3 from both sides
x² + 2x - 3 = 3x + 3
- 3 - 3
x² + 2x - 6 = 3x
Subtract 3x from both sides
x² + 2x - 6 = 3x
- 3x - 3x
x² - x - 6 = 0
Factor the equation
(x - 3)(x + 2) = 0
This means x can be -2 or 3
Let's solve it with -2 first, plug the new x in y = 3x + 3
y = 3(-2) + 3
y = -6 + 3 = -3
Do the same for x = 3
y = 3(3) + 3
y = 9 + 3 = 12
Answer:
The approximate monthly rate of growth is 1.24%
Step-by-step explanation:
we have the future value formula

we have
----> annual interest rate
so


Find the approximate monthly rate of growth
Remember that

so
Divide the number of periods t by 12

Applying power rules property



Convert to percentage

therefore
The approximate monthly rate of growth is 1.24%