Answer:
1275
Step-by-step explanation:
This is an arithmetic series. The formula for this is Sₙ = (n/2)(a₁ +aₙ)d. a₁ is the first term, so here it is 1, and aₙ is the nth term, or the last term, which is 50 here, but we don't know n.
Now we have to use the equation for an arithmetic sequence to solve for n. A sequence would just be if there was not a last number and it went on forever. that equation looks like aₙ = a₁ + (n - 1)d. Now the only new variable is d, which is the common difference. You can find that by subtracting one term from the term before it, like 2-1 = 1, so d is 1.
We can now solve for n by plugging our numbers into the second equation, so 50 = 1 + (n - 1)1, we can distribute the 1 and to (n-1) and get 50 = 1 + n - 1. Now the ones will cancel and we are left with n = 50
Finally we can plug everything into our original equation and find Sₙ = (50/2)(1+50), which simplifies to Sₙ = 25(51), and Sₙ = 1275.
<u><em>Question</em></u>
<em>If the CP of 15 articles equals to the SP of 12 articles, find the gain percent.</em>
<em></em>
Answer:
gain percent = 25%
Step-by-step explanation:
To solve the question given, we will follow the steps below:
gain% =
× 100%
But from the question;
"CP of 15 articles equals to the SP of 12 articles", this implies that
15 c.p = 12 s.p
s.p = 15c.p / 12
s.p =
= 
s.p = 
substitute s.p =
into the formula
gain% =
× 100%
=
× 100%
=
× 100%
=
÷ c.p × 100%
=
×
× 100%
=
× 100%
= 25 %
Answer:
8.9
Step-by-step explanation:
If you think of 8.9 as 8.90, then it's obvious that 8.90 (or 8.9) is greater than 8.83.
Answer:
Store C
Step-by-step explanation:
Simply divide the price by the amount to determine which store has the best price efficiency.
A : 12.99 / 100 = .129¢ per oz
B : 9.49 / 70 = .136¢ per oz
C: 10.98 / 90 = .122¢ per oz
Store C has the best price efficiency
<em>15.05 ÷ 7 = $2.15 per gallon</em>
<em>--</em>
<em>2.15 x 4 = $8.60</em>
<em>--</em>
<em>jamal can buy 4 gallons of gas</em>
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