Answer:
The correct answer 8486.
Step-by-step explanation:
Given:
Troy - P pr principle amount = 10000
rate = 9%
time = 60-22 = 38
intrest at every three months so time = t = 38*4 = 132
Nicohlas
P = x
rate = 10%
time = 60 -45 = 15
every month compounded = 15*12=180
solution:
the formula of compound intrest = P (1 + r/n)^(nt)
where n = number of counded intrests per year
puting formula for troy=
10000 (1+9/4)^132
= 294,322.96 .....1
now for nicolas
I = x(1+10/12)^180
x = 294,322.96/(1+10/12)^180
= 8486.
Answer:a) 54/55
b) 100/110
c) 99/110
Step-by-step explanation:
a)Probability of ordering 4= 9/12×3/11×2/10×1/9 = 54/11880
Probability of 4 good units= 4 × 54/11880
= 216/11880
1/55
1-(1/55) = 54/55
b)Probability of 2 good units= 2 × 54/(11880)
= 108/11880
= 1/110
1- (1/110)= 100/110
c) Probability of exactly 2 units not good= 1 -(100/110) =99/110
Answer:
Step-by-step explanation:
4) (-2,3) ; (-1,-2)
![Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-2-3}{-1-[-2]}\\\\=\frac{-5}{-1+2}\\\\=\frac{-5}{1}\\\\=-5](https://tex.z-dn.net/?f=Slope%20%3D%20%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-2-3%7D%7B-1-%5B-2%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-5%7D%7B-1%2B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B-5%7D%7B1%7D%5C%5C%5C%5C%3D-5)
5) line is parallel to x-axis. So, slope= 0
6) (1,1) ; (-2, -1)

Answer:
30% students
Step-by-step explanation:
Let x be the number of total students of a school.
63% are girls then total number of girls = (0.63)x
37% are boys then total number of boys = ( 0.37)x
Now 23% of girls wear contacts then total number of girls
= (0.63x) × 0.23
= (0.1449x)
And 42% of boys wear contacts then total number of boys wearing contacts
= (0.37x) ( 0.42)
= (0.1554)x
Total students wears contacts = ( 0.1449x) + (0.1554x)
= (0.3003x)
Percentage of students wear contacts =
× 100
=
× 100
= 30%
All 30% students wear contacts.