What is the annual interest rate for an account that compounds monthly at a rate of 2.5%?
1 answer:
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Answer: 60 oranges
Step-by-step explanation:
<u>Given information</u>
Weight = 75 g / orange
Total = 4.5 kg
<u>Given formula</u>
Total = Number of oranges × Average weight
<u>Convert Kilogram unit to Gram</u>
1 kg = 1000 g
4.5 kg = 4.5 × 1000 = 4500 g
<u>Substitute values into the given formula</u>
Total = Number of oranges × Average weight
Number of oranges = Total / Average weight
Number of oranges = 4500 / 75
<u>Simplify by division</u>
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The sister catches up Jeff after 2 hours
Step-by-step explanation:
We can write Jeff's position and his sister position at time t using the following expressions:
- Jeff position:
where:
7 is the initial position of Jeff when his sister sarts chasing him
2.5 is Jeff's velocity (in miles/hour), so its position increases by 2.5 miles for each hour
t is the time measured in hours
- Sister position:
where
6 is the sister velocity (her position increases by 6 miles for every hour)
t is the time measured in hours
The sister catches up Jeff when the two positions are equal, so
And solving for t,
So, the sister catches Jeff after 2 hours.
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