The sum of any geometric sequence, (technically any finite set is a sequence, series are infinite) can be expressed as:
s(n)=a(1-r^n)/(1-r), a=initial term, r=common ratio, n=term number
Here you are given a=10 and r=1/5 so your equation is:
s(n)=10(1-(1/5)^n)/(1-1/5) let's simplify this a bit:
s(n)=10(1-(1/5)^n)/(4/5)
s(n)=12.5(1-(1/5)^n) so the sum of the first 5 terms is:
s(5)=12.5(1-(1/5)^5)
s(5)=12.496
as an improper fraction:
(125/10)(3124/3125)
390500/31240
1775/142
Answer:
Speed of plane in still air = 135 km/h
Speed of wind = 23 km/h
Step-by-step explanation:
Given that:
Speed of plane with the wind = 158km/h
Speed of plane against the wind = 112km/h
Let,
x be the speed of plane
y be the speed of wind
According to given statement;
x+y = 158 Eqn 1
x-y = 112 Eqn 2
Adding Eqn 1 and 2

Putting x = 135 in Eqn 1
135+y = 158
y = 158-135
y = 23
Hence,
Speed of plane in still air = 135 km/h
Speed of wind = 23 km/h
Answer:
Part a) variable x (the number of adult tickets sold) and variable y (the number of child tickets sold)
Part b) 
Part c) The number of adult tickets sold was 86
Step-by-step explanation:
Part a) Name a variable for the number of adult tickets sold and name a variable for the number of child tickets sold
Let
x -----> the number of adult tickets sold
y -----> the number of child tickets sold
Part b) Write an equation in two variables to model the problem
we know that
-----> equation A
-----> equation B
substitute equation B in equation A and solve for x


Part c) Using your equation in Part B, solve the problem and answer the question "how many adult tickets did Anne sell?" i
we have

Solve for x
Subtract 416 both sides



therefore
The number of adult tickets sold was 86
Answer:
the answer of the question is 9.5
Answer:
-24
Step-by-step explanation:
you're welcome