Answer:
P(15) = (200,000)(1.08)15 = 634,434
Step-by-step explanation:
If the population at the beginning of 2000 was 200,000
Then the growth equation is P = Po(1.08)(y) where year year 2000 was year 1 or y = 1
At the end of 2015 or 2015-2000 = 15 years later, or at the end of the 15th year
Answer:
Yes
Step-by-step explanation:
Because 2 is a common factor
x+2 (x+2) + 8
------- = ---------------
14 14+9
solve by using cross products
(x+2) * (14+9) = 14*(x+2+8)
(x+2)*23 = 14*(x+10)
distribute
23x+46 = 14x+140
subtract 14x from each side
9x+46 = 140
subtract 46 from each side
9x =94
x = 94/4
x = 10 4/9 cm
$45 ÷ 5 = 9 (T-shirts sold so far)
$150 ÷ 5 = 30 (t-shirts they want to sell in order to have a goal of $150)
30-9= 21 more t-shirts
Ans: 21
At first I didn't understand what you meant by "x = -5, 4. What I think you meant was "the horizontal intercepts of the graph of this parabola are (-5,0) and (4,0)."
If this is the case, then the equation of the parabola is found as follows:
y=ax^2 + bx + c for the point (-5, 0) is 0=a(-5)^2 + b(-5) + c
for the point (4,0) is 0 = a(4)^2 +b(4) + c
for the point (-1,40) is 40 = a(-1)^2 + b(-1) + c
Here we have 3 equations in 3 unknowns, which is enough to solve for {a,b,c}. Using matrix algebra, I found that a= -2, b= -2, c= 40.
Then one equation for this parabola would be:
y = -2x^2 - 2x + 40
Check this by substitution. Does the point (-5,0) satisfy y = -2x^2 - 2x + 40?
Yes. So y = -2x^2 - 2x + 40 is the general form of the equation of this parabola. To express it in intercept form, factor y = -2x^2 - 2x + 40.
