Answer:
Step-by-step explanation:
This question is basically saying: what is half of 7, or what is 7 divided by 2?
Based on this, it can be written both of the ways as:
»» 
of 7 <u>OR</u> 7 ÷ 2
So, just solve using either one and you’ll get 4.5 or . But since the question wants the answer to be a mixed number, then choose .
Hope this helps! :)
Answer:
5.35
Step-by-step explanation:
Answer: Approximately 6.3876 years
When rounding to the nearest whole number, this rounds up to 7 years.
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Work Shown:
We'll use the compound interest formula
A = P*(1+r/n)^(n*t)
where,
- A = amount of money after t years
- P = initial deposit amount or principal
- r = interest rate in decimal form
- n = compounding frequency
- t = number of years
In this case, we know that,
- A = 2P, since we want the initial amount to double. P can be any positive real number you want and it doesn't affect the answer.
- r = 0.11
- n = 4, since we're compounding 4 times a year
- t = unknown, what we want to solve for
So,
A = P*(1+r/n)^(n*t)
2P = P*(1+r/n)^(n*t)
2 = (1+r/n)^(n*t)
2 = (1+0.11/4)^(4*t)
2 = 1.0275^(4t)
Ln(2) = Ln(1.0275^(4t))
Ln(2) = 4t*Ln(1.0275)
4t*Ln(1.0275) = Ln(2)
t = Ln(2)/(4*Ln(1.0275))
t = 6.38758965414661
It takes roughly 6.3876 years for the deposit to double. If you need this to the nearest whole number, then round up to 7. We don't round to 6 because then we would come up short of the goal of doubling the deposit.
Answer:
1017.36 square miles
Step-by-step explanation:
Since the diameter of a circle is twice the radius, the radius of this circle is 36/2=18. Since the area of a circle is 
, the area of this circle is:
Hope this helps!
