300 - 2x = 146, where x is the number
Subtract 300 from both sides.
-2x = -154
Divide both sides by -2.
x = 77
<span>The number of dollars collected can be modelled by both a linear model and an exponential model.
To calculate the number of dollars to be calculated on the 6th day based on a linear model, we recall that the formula for the equation of a line is given by (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (3, 8)
The equation of the line representing the model = (y - 2) / (x - 1) = (8 - 2) / (3 - 1) = 6 / 2 = 3
y - 2 = 3(x - 1) = 3x - 3
y = 3x - 3 + 2 = 3x - 1
Therefore, the amount of dollars to be collected on the 6th day based on the linear model is given by y = 3(6) - 1 = 18 - 1 = $17
To calculate the number of dollars to be calculated on the 6th day based on an exponential model, we recall that the formula for exponential growth is given by y = ar^(x-1), where y is the number of dollars collected and x represent each collection day and a is the amount collected on the first day = $2.
8 = 2r^(3 - 1) = 2r^2
r^2 = 8/2 = 4
r = sqrt(4) = 2
Therefore, the amount of dollars to be collected on the 6th day based on the exponential model is given by y = 2(2)^(5 - 1) = 2(2)^4 = 2(16) = $32</span>
The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let 
be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be 
. From this information we can gather that the cost function for this factory is,
On the other hand, if we let be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,
Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that
The company has to sell 134 750 units to break even.
Answer:
The correct option is;
Dennis must have stopped for an hour in the middle of this trip
Step-by-step explanation:
The given parameters are;
The distance Dennis covered in 5 hours = 500 km
Dennis's average speed in the first two hours = 150 km/h
Dennis's average speed in the last two hours = 100 km/h
Therefore;
Dennis traveled 150 km/h × 2 h = 300 km in the first two hours
Dennis traveled 100 km/h × 2 h = 200 km in the last two hours
Which gives, Dennis traveled 300 km + 200 km in 2h + 2h = 4h
Therefore, Dennis traveled 500 km in 4 hours and Dennis must have stopped for an hour in the middle of this trip.
Answer:
Why don't you know this its so easy
Step-by-step explanation:
