M is always positive is not true.
Hope this helps!
Answer:
1.the square pan is larger by 12 inches
40 cm^2
Step-by-step explanation:
The difference in size can be determined by calculating the difference between the perimeter of the square pan and the circumference of a circle
perimeter of a square = 4 x length
14 x 4 = 56 inches
Circumference of a circle = πD = (22/7) x 14 = 44 inches
Difference in size = 56 - 44 = 12 inches
Area of a rectangle = length x width
10 x 4 - 40 cm^2
Answer:
$3,623.84 Exact answer without rounding | $3,623.85 ~ (Approximent Answer with rounding.)
Step-by-step explanation:
Compound Interest Has a Specific Formula:
This case is Exponential Growth.
Formula: y= ab^x
You need to set up the equation.
First we need to define the rate of growth meaning what do you have to do for the 6.5%.
You need to do 100% + 6.5% = 106.5%
You need to convert the percent to a decimal which will be 1.065
Now we need to start plugging things into our formula to solve.
Your initial Starting amount was $3000
So you need to have y=3000(b)^x
We now know that the rate of growth is 1.065 so the b would be 1.065
y=3000(1.065)^x
Our power to x is our 3.5 years.
Our Equation now:
y=3000(1.065)^3
Now you need to use a calculator to do this due to the amount of decimals and digits.
Remember pemdas when doing this!!!
The answer should result to $3,623.84 but if rounded then: $3,623.85
Answer: option c
Step-by-step explanation:
Find the x-intercept and y-intercept of each line.
To find the x-intercept, substitute
into the equation and solve for "x".
To find the y-intercept, substitute
into the equation and solve for "y".
- For the first equation:
x-intercept
![4x + 3y = 29\\\\4x + 3(0)= 29\\\\4x=29\\\\x=\frac{29}{4}\\\\x=7.25](https://tex.z-dn.net/?f=4x%20%2B%203y%20%3D%2029%5C%5C%5C%5C4x%20%2B%203%280%29%3D%2029%5C%5C%5C%5C4x%3D29%5C%5C%5C%5Cx%3D%5Cfrac%7B29%7D%7B4%7D%5C%5C%5C%5Cx%3D7.25)
y-intercept
![4x + 3y = 29\\\\4(0) + 3y = 29\\\\3y=29\\\\y=\frac{29}{3}\\\\y=9.66](https://tex.z-dn.net/?f=4x%20%2B%203y%20%3D%2029%5C%5C%5C%5C4%280%29%20%2B%203y%20%3D%2029%5C%5C%5C%5C3y%3D29%5C%5C%5C%5Cy%3D%5Cfrac%7B29%7D%7B3%7D%5C%5C%5C%5Cy%3D9.66)
Graph a line that passes through the points (7.25, 0) and (0, 9.66)
- For the second equation:
x-intercept
![2x - 3y = 1 \\\\2x - 3(0) = 1 \\\\2x=1\\\\x=0.5](https://tex.z-dn.net/?f=2x%20-%203y%20%3D%201%20%5C%5C%5C%5C2x%20-%203%280%29%20%3D%201%20%5C%5C%5C%5C2x%3D1%5C%5C%5C%5Cx%3D0.5)
y-intercept
![2x - 3y = 1\\\\2(0) - 3y = 1\\\\-3y=1\\\\y=-0.33](https://tex.z-dn.net/?f=2x%20-%203y%20%3D%201%5C%5C%5C%5C2%280%29%20-%203y%20%3D%201%5C%5C%5C%5C-3y%3D1%5C%5C%5C%5Cy%3D-0.33)
Graph a line that passes through the points (0.5, 0) and (0, -0.33)
Observe the graph attached. You can see that point of intersection of the lines is (5,3); then this is the solution of the system. Therefore:
![x=5\\y=3](https://tex.z-dn.net/?f=x%3D5%5C%5Cy%3D3)