The original functions are: f(n) = 500 and g(n) = [9/10]^(n-1)
A geometric sequence combining them is: An = f(n)*g(n) = 500*[9/10]^(n-1):
Some terms are:
A1= 500
A2 = 500*[9/10]
A3 = 500*[9/10]^2
A4 = 500*[9/10]^3
....
A11 = 500*[9/10]^10 ≈ 174.339
Answer: the third option, An = 500[9/10]^(n-1); A11 = 174.339
Answer:
Step-by-step explanation:
We know by the Triangle Angle-Sum Theorem that the angles of a triangle all add up to equal 180. So we find angle B:
180 - 82 - 55 = 43
So angle B = 43. Now we can use the Law of Sines to solve for side b:

Cross multiply to get
b sin(55) = 8 sin(43) and divide to solve for b:
so
b = 6.6605
Answer:
The cooking club sales covers the expenditure when 2 piece of cakes are sold.
Step-by-step explanation:
Given:
Selling price of each piece of cake = $10
Cost for booth at fair = $10
Ingredients for each piece of cake = $5
We need to find the number of pieces of cake sold when the sales cover the expenditures.
Solution:
Let the number of pieces be 'x'
So We can say that the point at which the sales cover the expenditures can be calculated as Selling price of each piece of cake multiplied by number of pieces will be equal to Cost for booth at fair plus Ingredients for each piece of cake multiplied number of piece of cakes.
framing in equation form we get;

Now Subtracting both side by '5x' using Subtraction property we get;

Now Dividing both side by 5 we get;

Hence The cooking club sales covers the expenditure when 2 piece of cakes are sold.
If 3 inch....................................20 ft
?inc...........................................57 feet
(57*3)/20=171/20=8.55 inch