1/2
Step-by-step explanation:
All outcomes of a single die= 6
Events less than 4 =3
probability=3/6
=1/2
Answer:
Step-by-step explanation:
Each successive year, he
earned a 5% raise. It means that the salary is increasing in geometric progression. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence(amount earned in the first year).
r represents the common ratio.
n represents the number of terms(years).
From the information given,
a = $32,000
r = 1 + 5/100 = 1.05
n = 20 years
The amount earned in his 20th year, T20 is
T20 = 32000 × 1.05^(20 - 1)
T20 = 32000 × 1.05^(19)
T20 = $80862.4
To determine the his total
earnings over the 20-year period, we would apply the formula for determining the sum of n terms, Sn of a geometric sequence which is expressed as
Sn = (ar^n - 1)/(r - 1)
Therefore, the sum of the first 20 terms, S20 is
S20 = (32000 × 1.05^(20) - 1)/1.05 - 1
S20 = (32000 × 1.653)/0.05
S20 = $1057920
Step-by-step explanation:
theta = 180 - 123 = 57 degree
arc length = 2 * pi * R * ( theta / 360)
= 2 * pi * R * ( 57 / 360)
= 0.994R cm
Answer:
The axis of symmetry is -b/2a
The x-intercept shown is 3 units away from the axis of symmetry.
The other x-intercept also must be 3 units away from the axis of symmetry but on the opposite side.
Subtract 3 from the axis of symmetry.
The other x-intercept is (-b/2a-3,0)
Step-by-step explanation:
Answer:
9 :)
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.