A=850×(1+0.08)^(8)
A=1,573.29
Interest 1573.29-850=723.29
Answer:
The correct answer is 218 math textbooks and 259 sociology textbooks.
Step-by-step explanation:
To solve this problem, we can make a system of equations. Let the number of sociology textbooks sold be represented by the variable "s" and the number of math textbooks sold be represented by the variable "m". Using these variables, we can make two equations:
s + m = 477
m + 41 = s
There are many ways to solve this system of equations. One approach we can take is substituting the value for s given by the second equation into the first equation. This is modeled below.
s + m = 477
(m + 41) + m = 477
Combining like terms on the left side of the equation yields:
2m + 41 = 477
Subtracting 41 from both sides of the equation gives us:
2m = 436
Finally, dividing both sides of the equation by 2 gives us:
m = 218
To solve for the number of sociology textbooks, we can substitute into either of our original equations.
m + 41 = s
(218) + 41 = s
s = 259
Therefore, your answer is m = 218 and s = 259, or 218 math textbooks and 259 sociology textbooks were sold.
Hope this helps!
Answer:

Step-by-step explanation:
In a quadratic equation in the Standard form

You need to remember that "a", "b" and "c" are the numerical coefficients (Where "a" is the leading coefficient and it cannot be zero:
).
You can observe that the given quadratic equation is written in the Standard form mentioned before. This is:

Therefore, you can identify that the values of "a", "b" and "c" are the following:

The area of the shaded sector is one-fourth of the area of the whole circle so:

area of shaded region

The area of the shaded region is 9pi units^2
Answer:
The slope is 2. (m=2).
Step-by-step explanation:
y+5=2x+2
y+5-5=2x+2-5
y=2x-3
Equation is y=2x-3.
y=y-intercept
x=slope
Hence, the slope is 2.
Hope this helps and stay safe!