We can make use of the general formula for the geometric series to generate the function representing the average annual salary.
an = a0(r)^(n-1)
Or
f(x) = a0(r)^(x - 1)
Plugging in the given values for the year 2005 and 2006 to ge the value of r.
82000 = 70000 (r)^(1-1)
r = 1.1714
Therefore, the function is:
f(x) = 70,000 (1.1714)^(x-1)
If we assume that
x isthe number of multiple choice questions, and y is the number of word problems, we can write a system of equations like:
{ x + y = 38
{ 2x + 5y = 100
If we multiply the first equation by -2 we get:
{ -2x-2y = -76
{ 2x + 5y = 100
Now if we add both equations we get only equation with 1 unknown (y) :
3y = 24 ⇒ y = 8
Substituting the calculated value to the first equation we get:
x + 8 = 38 ⇒ x = 30
The solution:
{ x = 30
{ y = 8
means that:
The test had 30 multiple choice questions, and 8 word problems.
477>80 is correct
-4.5<3 this one is also correct
Answer: C. n = 4r + 50
Step-by-step explanation:
The equation is in the form: y =mx + c
y is the number of flowers used.
x is the row number.
Solving for m. Pick any two points. (1, 54) and (2, 58)
m = (Y₂ - Y₁) / (X₂ - X₁)
= (58 - 54) / (2 - 1)
= 4
Solving for c. Use a point to fill up the formula and find c; (1, 54)
y = mx + c
54 = 4 * 1 + c
c = 54 - 4
c = 50
Formula will therefore be;
y = 4x + 50
or;
n = 4r + 50