The series converges, and its sum is 1/2.
If r > 1, the series is divergent. If r < 1, the series is convergent. In our sequence, r, the common ratio we multiply by to get the next term, is 7/9; therefore it is convergent.
To find the sum of a convergent series, we use the formula
a/(1-r), where a is the first term and r is the common ratio. We then have
1/9÷(1-7/9) = 1/9÷2/9 = 1/9×9/2 = 1/2
Answer:
They need to sell 9400 pies to reach the break-order point
Step-by-step explanation:
* Lets explain the break-order point
- The break-order point is the point at which total cost and total
revenue are equal
∴ The total cost = The total revenue
* Lets solve the problem
∵ The equation of the total cost is y = 0.65x + 1410
∵ The revenue equation is y = 0.8x
- To find the break-order point equate the two equations
∴ 0.65x + 1410 = 0.8x
- Subtract 0.65x from both sides
∴ 1410 = 0.8x - 0.65x
∴ 0.15x = 1410
- Divide both sides by 0.15
∴ x = 1410/0.15 = 9400
∵ x is the number of pies
* They need to sell 9400 pies to reach the break-order point
Answer:
792 m
Step-by-step explanation:
perimeter of a rectangle = 2l + 2b
⇒ perimeter of ground = (2 x 42) + (2 x 24) = 132 m
Perimeter = 1 round
⇒ 6 rounds = 6 x 132 = 792 m
Answer:
-5/4
Hope this helps!
Step-by-step explanation:
To get from 3 to 8 is 5 and from -4 to -8 is a -4. The first digits are x but are the second number of the slope. The second digits are y but the first number of the slope.
