Three more Than the quotient of a number and 2 is equal to 7
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Answer:
Therefore the ratio of home-team fan to away team fan at 8:00 p.m is
=109:67
Step-by-step explanation:
Initially , total home team fans =1000
and away team fans = 700.
7:00 pm to 8:00 pm = 1 hour = 60 minutes
Given that
Every 10 minutes the number of arrival home team fans is 15.
Then in 1 minutes the number of arrival home team fans is
and in 60 minutes the number of arrival home team fans is
=90
Therefore total home team fans = (90+1000)=1090
Given that
Every 10 minutes 5 fans leave of away team leave.
then in 1 minutes fans leave of away team leave.
and In 60 minutes =30 fans leave of away team leave.
Since 30 away team fans leave.
Total away team fans = (700-30)=670
Therefore the ratio of home-team fan to away team fan at 8:00 p.m is
=1090:670
=109:67
It takes 10.155 years until you have $3,000 ⇒ 3rd
Step-by-step explanation:
The formula for compound interest, including principal sum is:
, where
- A is the future value of the investment/loan, including interest
- P is the principal investment amount
- r is the annual interest rate (decimal)
- n is the number of times that interest is compounded per unit t
- t is the time the money is invested or borrowed for
∵ You decide to put $2,000 in a savings account
∴ P = 2000
∵ You want to save for $3,000
∴ A = 3000
∵ The account has an interest rate of 4% per year and is
compounded monthly
∴ r = 4% = 4 ÷ 100 = 0.04
∴ n = 12 ⇒ compounded monthly
- Substitute all of these values in the formula above to find t
∵
- Divide both sides by 2000
∴
∴
- Change the mixed number to an improper fraction
∴
- Insert ㏒ for both sides
∴
- Remember
∴
- Divide both sides by
∴ 121.84 = 12 t
- Divide both sides by 12
∴ 10.155 = t
It takes 10.155 years until you have $3,000
Learn more:
You can learn more about the compound interest in brainly.com/question/4361464
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