Suppose you receive a postcard from a good friend with a picture of the Golden Gate Bridge in San Francisco. The postcard is 3.5
1 answer:
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Answer:
Caleb paid less than Omar by $12.
Step-by-step explanation:
The initial cost of each repair is $1,000.
One coupon is for $80 off the repair cost. The other coupon is for 15% off the repair cost.
Case 1:
Omar uses the $80 off the repair cost coupon first. He then uses the 15% off the repair cost coupon on the remaining balance.
Step 1:
Step 2: dollars
Case 2:
Caleb uses the 15% off the repair cost coupon first. He then uses the $80 off the repair cost coupon on the remaining balance.
Step 1:
Step 2: dollars
Now, comparing the values we can see that Caleb paid less.
He paid less by dollars.
A geometric series is written as , where
is the first term of the series and
is the common ratio.
In other words, to compute the next term in the series you have to multiply the previous one by .
Since we know that the first time is 6 (but we don't know the common ratio), the first terms are
.
Let's use the other information, since the last term is , we know that
, otherwise the terms would be bigger and bigger.
The information about the sum tells us that
We have a formula to compute the sum of the powers of a certain variable, namely
So, the equation becomes
The only integer solution to this expression is .
If you want to check the result, we have
and the last term is