Answer:
The bake sale raised $412.35
Step-by-step explanation:
* Lets explain how to solve the problem
- A local Charity receives 1/3 of funds raised during a craft fair and
bake sale
∴ The total amount given to the charity = 1/3 × the funds raised during
a craft fair and bake sale
- The total amount given to the charity was $137.45
∴ The 1/3 of of funds raised during a craft fair and bake sale is $137.45
- Lets substitute the The total amount given to the charity in the
equation above to find the funds raised during the bake sale
∴ 137.45 = 1/3 × the funds raised during the bake sale
- Multiply the both sides by 3
∴ 3 × 137.45 = the funds raised during the bake sale
∴ The funds raised during the bake sale = 412.35
* The bake sale raised $412.35
B will b the answer that's the only answer yuh can get is b
Answer:
A. 
Step-by-step explanation:
So to get the area of a square, we need to find the length of one side.
We know the length of the larger square is a, so the area of the larger cube is 
We can find the length of a side of the smaller square by using pythagoreans theorem to find the hypotenuse of the triangle formed in the bottom left corner. The length of one side along the x axis is a - b, and the length of the other side, along the y-axis, is b.
We can plug it into pythagoreans theorem to get
(C represents the length of one side of the smaller square, and the hypotenuse of the triangle)
The area of the smaller triangle is C squared to the area of the smaller triangle is
To get the ratio of the smaller square in comparison to the larger square we divide the area of the smaller square by the area of the larger square.
So the ratio should be
Answer:
a) -7/9
b) 16 / (n² + 15n + 56)
c) 1
Step-by-step explanation:
When n = 1, there is only one term in the series, so a₁ = s₁.
a₁ = (1 − 8) / (1 + 8)
a₁ = -7/9
The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.
sₙ = sₙ₋₁ + aₙ
(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ
(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ
aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)
If you wish, you can simplify by finding the common denominator.
aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]
aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)
aₙ = 16 / (n² + 15n + 56)
The infinite sum is:
∑₁°° aₙ = lim(n→∞) sₙ
∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)
∑₁°° aₙ = 1
The salary after the raise is 47250 and the salary after the cut would just be the original salary
