Couch: $600 with a 31.5% markup
1 answer:
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Answer:
April
Step-by-step explanation:
The sequence of amounts saved is a geometric sequence. The sum of those amounts is given by the formula ...
Sn = a1·(r^n -1)/(r -1)
where a1 is the amount saved in month 1, r is the common ratio, and n is the number of months. We want to find n such that ...
150 ≤ 5(2^n -1)/(2 -1)
30 ≤ 2^n -1
31 ≤ 2^n
We can solve this using logarithms, or we can make use of our knowledge of powers of 2: 2^5 = 32. That is, n = 5 will be the first month when Jordan's total savings exceeds $150.
The fifth month will be April. Jordan's total savings will be enough in April.
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The attached shows a spreadsheet that computes Jordan's amount of savings each month, and his running total. Once the formulas are written, they can be copied down as far as required to see where the total savings is enough.
Answer:
Eli has to run for 2.25 minutes at this pace to win the bet.
Step-by-step explanation:
At his last track meet, Eli ran the 400-meter dash in 54 seconds.
So, the speed of Eli's run is meters per minute.
Now, if Eli is determined to run a whole kilometer with the same speed, then it will take Eli to run 1 kilometer within minutes.
Hence, Eli has to run for 2.25 minutes at this pace to win the bet. (Answer)