Note: 20 weeks = 20/52 or 5/13 of a year.
Let E = effective rate of interest
E = [1 + (r/m)]^m - 1 where r is the nominal (annual ) advertised rate; m is the number of compounding periods/year.
Let r = 0.0275
Let m = 5/13
Plug into formula and do the math.
Answer:
t = -0.22secs and 0.85secs
Step-by-step explanation:
Given the expression
h = –16t² + vt + c.
If a child tosses a ball upward with a starting velocity of 10 ft/s from a height of 3 ft, then;
v = 10, c = 3
Since we are to let h = 0, then the equation becomes:
0 = –16t² + 10t + 3
Multiply through by a minus sign
16t² - 10t - 3 = 0
Factorize the reulting expression:
t = -(-10)±√(-10)²-4(16)(-3)/2(16)
t = 10±√100+192/32
t = 10±√292/32
t = 10±17.09/32
t = 10-17.09/32 and 10+17.09/32
t = -7.09/32 and 27.09/32
t = -0.22secs and 0.85secs
Answer:
10626 different arrangements
Step-by-step explanation:
As we have a total of 23 students and we want to form groups of 3, where the order of the 3 students matters, we can solve this problem using a permutation of 23 choose 3.
The formula for a permutation of n choose p is:
P(n,p) = n! / (n-p)!
So, using n = 23 and p = 3, we have:
P(23,3) = 23! / (23-3)! = 23! / 20! = 23 * 22 * 21 = 10626
So we have a total of 10626 different arrangements of first, second and third place.
Answer:
D. 5
Step-by-step explanation:
Based on the midsegment theorem of a trapezoid, thus:
QR = ½(OP + MN)
Substitute
27 = ½((5x - 7) + (6x + 6))
27 = ½(5x - 7 + 6x + 6)
Add like terms
27 = ½(11x - 1)
Multiply both sides by 2
2*27 = 11x - 1
54 = 11x - 1
54 + 1 = 11x
55 = 11x
55/11 = x
5 = x
x = 5
um this is not a question its just a statment
