Answer:
The smallest number n could be is 64.
Step-by-step explanation:
35 + 64 = 99
64/8 = 8
= √289 = 17
Answer: D:
To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.
Step-by-step explanation:
Answer:
$39811.77
Step-by-step explanation:
If we put y as the unit of year, the function will be 50000x0.975^y (100%-2.5% is 97.5%). And so from 2001 to 2010, nine years has passed, so the equation will be 50000x0.975^9 And if you calculate and round the answer to the nearest hundredth (cent), you will find $39811.77.
Answer:
The correct option is;
H. 32·π
Step-by-step explanation:
The given information are;
The time duration for one complete revolution = 75 seconds
The distance from the center of the carousel where Levi sits = 4 feet
The time length of a carousel ride = 5 minutes
Therefore, the number of complete revolutions, n, in a carousel ride of 5 minutes is given by n = (The time length of a carousel ride)/(The time duration for one complete revolution)
n = (5 minutes)/(75 seconds) = (5×60 seconds/minute)/(75 seconds)
n = (300 s)/(75 s) = 4
The number of complete revolutions - 4
The distance of 4 complete turns from where Levi seats = 4 ×circumference of circle of Levi's motion
∴ The distance of 4 complete turns from where Levi seats = 4 × 2 × π × 4 = 32·π.
Answer:
They need to deposit $31,172.49
Step-by-step explanation:
The compound interest formula is given by:
Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time the money is invested or borrowed for, in years.
In this problem
We want to find P for which 
when 
So
They need to deposit $31,172.49
