Answer:
B
Step-by-step explanation:
Answer:
a) 10.95
b) 76.65
Step-by-step explanation:
To find the unit price of Ben's video games, divide 43.80 by 4, which is equal to 10.95. So, the unit price is 10.95 at Ben's Game World.
Then, using the unit price we found earlier, multiply 10.95 by 7, which will gives us the cost of 7 games at Roberto's Electronics. You'll get 76.65. So, the cost of 7 games at Roberto's Electronics, using the same unit price at Ben's Game World, would be 76.65.
Hope this helps :)
Hi so have you heard of KFC? It stands for keep flip change. You use it when adding or subtracting or when you're dividing fractions. So you keep the first part of the problem the same; you flip the sign of the second part, and change the sign of the third part. So -23.9- -9.3 becomes -23.9 + +9.3. So take away 9.3 from 23.9 and get 14.6. Whenever you add a positive to a negative like we do here, the answer will become a smaller negative number if the positive number is "smaller" than the negative number.
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.
The first is not a polynomial as one term is dividing.
