Answer:
Step-by-step explanation:
You are to take the square root across the inequality sign to make it plus or minus 3 squared.
The answer will therefore be C
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
Answer:
x=31
y=6
Step-by-step explanation:
2x+3y=80
x+y=37
solve by elimination:( multiply second equation by 2) to eliminate x
2x+3y=80
2x+2y=74
subtract the two equations:
2x+3y-(3x+2y)=80-74
2x+3y-3x-2y=6
y=6 (3 point basket)
substitute: x+y=37, x=37-6=31
x=31 (2 point shot)
<span>First find the central angle A in degree.
Perimeter circle 2Pi*R --> 360 deg
Arc A = 14.13 --> x deg
(360*14.13)/2Pi*R = 5086.8/37.68 = 135 deg
The pendulum rotates 135 deg in 3 sec. Then, the angular velocity is : 135/3 = 45 deg/sec.
Hope this helps!
</span>
Answer:
From inspection of the diagram, we can see that the spinner is divided into <u>4 equal parts</u>, where 3 parts are red and 1 part is yellow.
Therefore,
<u>Multiplication Rule for Independent Events</u>
For independent events A and B:
Therefore,
<h3><u>Conclusion</u></h3>
Ari is incorrect. The spinner is divided into 4 parts, where only one part is yellow. Therefore, the probability of spinning a yellow is 1/4. As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows. So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.
