Answer:
y = 9.50 + 6.00n
Step-by-step explanation:
This equation shows that the base rice that you must pay is $9.50 (the cost of your ticket). $6.00n represents the cost of however many additional tickets you purchase for n friends. Say 3 friends decide to come, your n value is 3.
You would need to do the following to determine the price you need to pay for 3 friends:
6.00(3) = 18.00 (this is how much you'd pay for 3 friends)
You must add your ticket price to $18.00 to find y (the total amount you must pay for yourself and your 3 friends). So you must do the following:
y = 9.50 + 6.00(3)
y = 9.50 + 18.00
y = 27.50 (this is the total price you'll pay for everyone attending
Hope this helps :)
The value of n in the given equation is -2.6
Step-by-step explanation:
Given,
10 = 
To find the value of n
10 =
or, 10(3n+8) = 2 [ by cross multiplication]
or, 30n + 80 = 2
or, 30n = 2-80 [ taking the constant values in one side]
or, 30n = -78
or, n = 
or, n = -2.6
Explanation:
A sequence is a list of numbers.
A <em>geometric</em> sequence is a list of numbers such that the ratio of each number to the one before it is the same. The common ratio can be any non-zero value.
<u>Examples</u>
- 1, 2, 4, 8, ... common ratio is 2
- 27, 9, 3, 1, ... common ratio is 1/3
- 6, -24, 96, -384, ... common ratio is -4
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<u>General Term</u>
Terms of a sequence are numbered starting with 1. We sometimes use the symbol a(n) or an to refer to the n-th term. The general term of a geometric sequence, a(n), can be described by the formula ...
a(n) = a(1)×r^(n-1) . . . . . n-th term of a geometric sequence
where a(1) is the first term, and r is the common ratio. The above example sequences have the formulas ...
- a(n) = 2^(n -1)
- a(n) = 27×(1/3)^(n -1)
- a(n) = 6×(-4)^(n -1)
You can see that these formulas are exponential in nature.
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<u>Sum of Terms</u>
Another useful formula for geometric sequences is the formula for the sum of n terms.
S(n) = a(1)×(r^n -1)/(r -1) . . . . . sum of n terms of a geometric sequence
When |r| < 1, the sum converges as n approaches infinity. The infinite sum is ...
S = a(1)/(1-r)
Not always if you're saying it will always be something like 1/2 becomes 2/1 with a unit of one. It's just flipped, so 2/6 will be 6/2, 4/5 becomes 5/4, 22/16 becomes 16/22 etc. That is all there is to it. Make sure you simplify your answers.
As a mixed number it is, 3 24/100. Reduced is 3 6/25
