Answer:
Base amount: $2,410.00
Interest Rate: 12% (yearly)
Effective Annual Rate: 12.68%
Calculation period: 3 years
$3,448.15
Step-by-step explanation:
The generic formula used in this compound interest calculator is
V = P(1+r/n)^(nt)
V = the future value of the investment
P = the principal investment amount
r = the annual interest rate
n = the number of times that interest is compounded per year
t = the number of years the money is invested for
Answer:
Step-by-step explanation:
We are told the school sold raffle tickets, and each ticket has a digit either 1, 2, or 3. The school also sold 2 tickets with the number 000.
Therefore we have the following raffle tickets:
123
132
213
231
312
321
000
000
From the given information, we can deduce that the school sold 8 tickets and only one ticket can contain the number arrangement of 123, but 000 appeared twice.
Probability of 123 to be picked=
1/8 => 0.125
Probability of 000 to be picked=
2/8 => 0.25
Since the probability of 000 to be picked is greater than 123, a ticket number of 000 is more likely to be picked
Hey there!
1. The graph was flipped vertically and now opens downward.
We know this because there is a negative sign in front of the equation:
2. The graph was moved 3 units to the left.
We know this because there is 3 added to x inside of the parenthesis. Remember, inside (parenthesis) is opposite and acts on x, outside (parenthesis) is same and acts on y.
3. The graph was moved 5 units up.
We know this because there is 5 added at the end of the equation. It acts on y because it is outside of the parenthesis.
![y=-(x+3)^2\boxed{+5}](https://tex.z-dn.net/?f=y%3D-%28x%2B3%29%5E2%5Cboxed%7B%2B5%7D)
Hope this helps!
Check the picture below.
![\bf 0=AB^2+6AB-121\implies \stackrel{\textit{using the quadratic formula}}{AB=\cfrac{-6 \pm \sqrt{6^2-4(1)(-121)}}{2(1)}} \\\\\\ AB=\cfrac{-6 \pm \sqrt{520}}{2}\implies AB=\cfrac{-6 \pm \sqrt{4\cdot 130}}{2} \\\\\\ AB=\cfrac{-6 \pm \sqrt{2^2\cdot 130}}{2}\implies AB=\cfrac{-6 \pm 2\sqrt{130}}{2} \\\\\\ AB=-3\pm\sqrt{130}\implies AB= \begin{cases} \boxed{-3+\sqrt{130}}\\\\ -3-\sqrt{130} \end{cases}](https://tex.z-dn.net/?f=%5Cbf%200%3DAB%5E2%2B6AB-121%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20quadratic%20formula%7D%7D%7BAB%3D%5Ccfrac%7B-6%20%5Cpm%20%5Csqrt%7B6%5E2-4%281%29%28-121%29%7D%7D%7B2%281%29%7D%7D%0A%5C%5C%5C%5C%5C%5C%0AAB%3D%5Ccfrac%7B-6%20%5Cpm%20%5Csqrt%7B520%7D%7D%7B2%7D%5Cimplies%20AB%3D%5Ccfrac%7B-6%20%5Cpm%20%5Csqrt%7B4%5Ccdot%20130%7D%7D%7B2%7D%0A%5C%5C%5C%5C%5C%5C%0AAB%3D%5Ccfrac%7B-6%20%5Cpm%20%5Csqrt%7B2%5E2%5Ccdot%20130%7D%7D%7B2%7D%5Cimplies%20AB%3D%5Ccfrac%7B-6%20%5Cpm%202%5Csqrt%7B130%7D%7D%7B2%7D%0A%5C%5C%5C%5C%5C%5C%0AAB%3D-3%5Cpm%5Csqrt%7B130%7D%5Cimplies%20AB%3D%0A%5Cbegin%7Bcases%7D%0A%5Cboxed%7B-3%2B%5Csqrt%7B130%7D%7D%5C%5C%5C%5C%0A-3-%5Csqrt%7B130%7D%0A%5Cend%7Bcases%7D)
since the distance AB cannot be a negative value, thus is not -3-√(130).
18/4ths, 27/6ths, and 36/8ths.