A(n) = –3 • 2⁽ⁿ⁻¹⁾
for n = 1 , A₁ = -3.(2)⁰ = -3
for n = 2 , A₂ = -3.(2)¹ = -6
for n = 3 , A₃ = -3.(2)² = -12
for n = 4 , A₄ = -3.(2)³ = -24
...........................................
for n = 8 , A₈ = -3.(2)⁷ = -384
The answer actually is 4,245 BUT that is the correct way to do it because you take the smaller population away from the larger population in order to find their difference in sizes.
Answer: 2/3
Slope = y2-y1/x2-x1
I’ll take the points (-2;0) and (1;2)
Slope = 0-2/-2-1
=-2/-3=2/3
Answer:
The National Academy of Sciences has established the Acceptable Macronutrient Distribution Range (AMDR), which are dietary guidelines regarding the acceptable range of certain nutrients (such as fat, carbohydrates and protein) in our everyday diet. According to the AMDR, 45-65% of our everyday calorie intake should come from carbohydrates. Therefore, 1125 [(2500*45)/100] to 1625 [(2500*65)/100] kilocalories should come from carbohydrates.
Step-by-step explanation:
Answer:
17. See below
18. 750
Step-by-step explanation:
17. Since the lollipops are being sold at the same price, 50 cents, for each one sold, they make a constant amount of money. For each increase in lollipops sold, there is a constant increase in money made, and thus the situation is a linear function.
18. To solve this equation, let's say y is the money made at the convention in dollars and x is the number of lollipops sold. If the principal gave them 125 dollars before they sold any lollipops (0 lollipops sold), then 125 is the y-intercept of the function, and in the equation y=mx+b, b=125. If each lollipop costs 50 cents (half of a dollar), then for each lollipop, x, sold, .5 dollars are made and are added to the profit, y. Thus, .5 dollars is the slope. The equation then becomes:

Now, if they need 500 dollars, y is thus equal to 500 dollars. Solving the equation:






Thus, 750 lollipops must be sold.