Answer: $9.19
Step-by-step explanation:
The original value of the dress is $36.75.
The store is offering a discount of 25% on this original amount so the discount will be calculated by taking 25% of $36.75:
= 25% * 36.75
= 9.1875
= $9.19
Selling price of dress is therefore:
= 36.75 - 9.19
= $27.56
Answer:
= 8.9 units
Step-by-step explanation:
When a chord intersects with a tangent outside a circle then we use the relationship;
X ² = AO × BO, Where A and are the points of intersection of the chord an the circle, while O is the point of intersection between the chord and the tangent.
Therefore;
x² = 4 × 20 or 8 × 10
x² = 80
x = √80
= 8.944
≈ 8.9
Answer:
C
Step-by-step explanation:
5.1 + 2y + 1.2 = -2 + 2y + 8.3 ( subtract 2y on each side)
5.1 + 1.2 = -2 + 8.3 ( collect like terms)
6.3 = 6.3
If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.
Answer:
The formula which can be used to describe the sequence is:
⇒ 3rd answer
Step-by-step explanation:
The terms of the sequence are -81, 108, -144, 192, ...
∵ 108 ÷ -81 = ![-\frac{4}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B4%7D%7B3%7D)
∵ -144 ÷ 108 = ![-\frac{4}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B4%7D%7B3%7D)
∵ 192 ÷ -144 = ![-\frac{4}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B4%7D%7B3%7D)
- There is a constant ratio between each two consecutive terms
∴ The sequence is a geometric sequence
The formula of the nth term of the geometric sequence is
, where a is the first term and r is the constant ratio between each two consecutive terms
∵ The first term is -81
∴ a = -81
∵ The constant ratio =
∴ r = ![-\frac{4}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B4%7D%7B3%7D)
- Substitute then in the formula above
∴ ![a_{n}=-81(\frac{-4}{3})^{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%3D-81%28%5Cfrac%7B-4%7D%7B3%7D%29%5E%7Bn-1%7D)
Assume that
= f(x)
∴ n = x
∴ ![f(x)=-81(\frac{-4}{3})^{x-1}](https://tex.z-dn.net/?f=f%28x%29%3D-81%28%5Cfrac%7B-4%7D%7B3%7D%29%5E%7Bx-1%7D)
The formula which can be used to describe the sequence is:
![f(x)=-81(\frac{-4}{3})^{x-1}](https://tex.z-dn.net/?f=f%28x%29%3D-81%28%5Cfrac%7B-4%7D%7B3%7D%29%5E%7Bx-1%7D)