We assume you intend that cars shipped to Japan are modeled by
j(n) = 2·3^(n-1)
and that those shipped to Vietnam are modeled by
v(n) = 5 + 11·(n-1)
The value of j(n) will exceed the value of v(n) in
month 4.
x is 
<u>Explanation:</u>
Given:
EP = FP
GQ = FQ
Since the sides are equal, the ΔFPQ and ΔFEG are similar.
According to the property of similarity:
On substituting the value:
Perimeter will be sum of all the sides. If y is known then substitute the value and then find the perimeter.
Answer:
Step-by-step explanation:
6 - (2 - 4x)
sophia : 6 + 2 + 4x
sophia's expression is incorrect because she didn't distribute the negative sign thru the parenthesis correctly.
ursula : 6 - (-2x)
ursula's expression is incorrect because....well....I dont know how she got what she got...she possibly subtracted 2 from - 4x and got -2x
a correct equivalent expression is : 6 - 2 + 4x or 4 + 4x
Answer: The new ratio will be 1/4
Explanation: The initial ratio of losses to wins is 3 to 2. If we sum the numer of losses and wins 3 + 2 = 5 games, that means they loss 3 out of 5 games , and they win 2 out of 5 games.
So if they had won twice as many of the games, that is 2*2=4. And since the number of games is the same ( 5 ), then they would have won 4 games and loss only 1.
So the new ratio of losses to wins will be 1 to 4, or expressed in a fraction: 1/4
Revenue = 7.5x - 100
Operation Costs = 5.8x + 79.86
To break even, operation cost = Revenue
⇒ 7.5x - 100 = 5.8x + 79.86
7.5x = 5.8x + 179.86 (Add 100 to both sides)
7.5x - 5.8x = 179.86
1.7x = 179.86
x = 105.8
This implies that the company will need to sell at least 106 items to make a profit.
The inequality that will determine the number of items at need to be sold to make a profit is x ≥ 106
The solution to the inequality is as follows
Revenue = 7.5x - 100
if x =106
Revenue = 7.5(106) - 100
Revenue = 695
Operational Cost = 5.8x + 79.86
if x = 106
Operational Cost = 5.8(106) + 79.86
Operational Cost = 694.66
Profit ≥ (695 - 694.66)
Profit ≥ 0.34
The company must sell at least 106 items to make a profit.
