Answer:
5 + 8 + 11 + 10 = 34
Step-by-step explanation:
The lengths of the horizontal and vertical sides are easily determined. The slant side is seen to be the hypotenuse of a 3-4-5 triangle (times 2), so is 10 units long. The perimeter is the sum of the side lengths:
5 + 8 + 11 + 10 = 34
_____
You can always estimate the length of the hypotenuse of a right triangle as being between 1 and 1.5 times the length of the <em>longest</em> side. Here, the longest side of the right triangle whose hypotenuse is of interest is 8 units, so the hypotenuse will be between 8 and 12 units long. That means the perimeter of the blue trapezoid will be between 32 and 36, a guess of sufficient accuracy to allow you to choose the correct answer.
In a figure like this, you can also measure the hypotenuse on the grid. Using a compass, ruler, or a piece of paper with a couple of marks, you can rotate the slant length so that it corresponds to a vertical or horizontal grid line. Then the length of it is easily estimated to good accuracy. (See the second attachment.) As we said in the previous paragraph, even poor accuracy is sufficient to choose the correct answer.
Answer:
Joey sold 6 cars
Step-by-step explanation:
Joey earns $350 per week + $200 per car he sells
The number of cars that he sold last week is unknown, so represent it with a variable, x.
Write an equation
$350 + $200x = $1,550
Subtract $350 from both sides of this equation
$200x = $1200
Divide both sides of the equation by 200
x = 6
Joey sold 6 cars
Hope this helps :)
Answer: 2(x-7)
Step-by-step explanation: 2x−14
2x−14
=2(x−7)
Answer:
When the demand for a good is highly elastic, the producer can increase revenue by reducing the price slightly.
Explanation:
Prices can either be Elastic, Inelastic, or Unitary.
The assumption is that the scenario in the question is in a perfect market. A perfect market is one where there are numerous buyers and sellers and there is little or no gap in information about market conditions such as cost of input, prices of the competition, etc.
When the demand for a product is elastic, it means that it is sensitive to changes in price. Price Elasticity is in degrees. When the demand for a product is highly elastic, it means that small changes in price lead to even greater changes in demand.
So for the producer to increase revenue in the short run (all things being equal) all they need to do is reduce the price slightly. This will increase revenue because it most likely will translate to a more than proportionate increase in quantity demanded.
Recall that markets are dynamic and the most predictable reaction of the other producers to this move will be an equal or even greater reduction in price in order to win back lost customers. Hence to sustainably maintain this position The producer will have to ensure that their product is sufficiently differentiated with unique value additions that are impossible or difficult to replicate.
Cheers
Answer:
f(x) = 1500(0.97)ˣ
Step-by-step explanation:
Given that:
f(x) = abˣ
a is the initial bone density, that is the bone density at 0 years, x is the number of years and b is any real value. For an exponential growth, b > 1 while for an exponential decay, b < 1.
Since the bone has a current density of 1,500 kg/m³, hence a = 1500.
The density is lost at a rate of 3% annually, therefore b = 100% - 3% = 97% = 0.97.
Therefore substituting the values of a and b into the function gives:
f(x) = 1500(0.97)ˣ