The modal score would be 71. 71 appears the most in the list.
The answer is a. here’s a picture that hopefully helps explain the reasoning/work
Answer:
1/22
Step-by-step explanation:
assuming that the marbles drawn are not replaced:
P(red) = 3/12 or 1/4
P(green) = 4/11
P(blue) = 5/10 or 1/2
multiply the probabilities together:
1/4 x 4/11 x 1/2 = 1/22
Answer:
The principal must be = $8991.88
Step-by-step explanation:
Formula for compound interest is:
![A = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where A is the amount after 't' years.
P is the principal amount
n is the number of times interest is compounded each year.
r is the rate of interest.
Here, we are given that:
Amount, A = $15000
Rate of interest = 13 % compounded quarterly i.e. 4 times every year
Number of times, interest is compounded each year, n = 4
Time, t = 4 years.
To find, Principal P = ?
Putting all the given values in the formula to find P.
![15000 = P(1 + \frac{13}{400})^{4\times 4}\\\Rightarrow 15000 = P(1 + 0.0325)^{16}\\\Rightarrow 15000 = P(1.0325)^{16} \\\Rightarrow 15000 = P \times 1.66817253\\\Rightarrow P = \dfrac{15000}{1.66817253}\\\Rightarrow P \approx \$8991.88](https://tex.z-dn.net/?f=15000%20%3D%20P%281%20%2B%20%5Cfrac%7B13%7D%7B400%7D%29%5E%7B4%5Ctimes%204%7D%5C%5C%5CRightarrow%2015000%20%3D%20P%281%20%2B%200.0325%29%5E%7B16%7D%5C%5C%5CRightarrow%2015000%20%3D%20P%281.0325%29%5E%7B16%7D%20%5C%5C%5CRightarrow%2015000%20%3D%20P%20%5Ctimes%201.66817253%5C%5C%5CRightarrow%20P%20%3D%20%5Cdfrac%7B15000%7D%7B1.66817253%7D%5C%5C%5CRightarrow%20P%20%5Capprox%20%5C%248991.88)
So, <em>the principal must be = $8991.88</em>