In order to determine the balance of the account, use the following formula for the amount of money obtained after t years, basen on a compound interest:
where,
P: principal = $12,500
A: amount earnt after t years = ?
r: interest rate in decimal form = 0.045 (4.5%)
n: times at year for the compund interes = 4 (quaterly)
Replace the previous values of the parameters into the formula for A and simplify:
Hence, the balance after 8 years is approximately $17,880.64 in the account.
The interest earnt by the account is given by the difference between the previous result and the principal invesment:
I = $17,880.64 - $12,500 = $5,380.64
Hence, the interest earnt is $5,380.64
Answer:
3
Step-by-step explanation:
The x-coordinate of the accident is a random variable of uniform distribution with range [-1.5,1.5]. The same can be said for the y-coordinate. However, |x| and |y| are also uniform variables with range [0,1.5], since we still have the same probability on every pair of intervals with the same lenght.
Note that |X| and |Y| are independent with each other, therefore E(|x|+|y|) = E(|x|) + E(|y|) = 2*E(|x|). The last equality holds because both x and y are identically distributed, then so are |x| and |y|.
E(|x|) =
Therefore, E(|x| + |y|) = 2 * 3/2 = 3.
I hope that works for you!
First lets remove the initial fee
150 is how much she is charging you per hour.
If each hour is 55, lets divide 150 by 55.
She charged you for 2.7 hours (almost 3) of service
Answer: the slope is 2/1 or 2
Step-by-step explanation: slope is written rise over run, meaning y/x. By finding the difference between 13/5 and 17/7, then 17/7 and 21/9 to confirm, you can see that the difference is 4/2, which reduces to 2/1, which is simplified to 2.
Answer:
y=930 x 075^x
Step-by-step explanation:
y is the price after the amount of years x being plugged into the equation. 930 is what you started with. 7.5 is what is being decreased so divide that by 100 and you get 0.075 plug in the amount of years into x and you have your equation