Step-by-step explanation:
∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹
This is a finite geometric series with n = 4, a₁ = -144, and r = ½.
S = a₁ (1 − rⁿ) / (1 − r)
S = -144 (1 − (½)⁴) / (1 − ½)
S = -270
If you wanted to find the infinite sum (n = ∞):
S = a₁ / (1 − r)
S = -144 / (1 − ½)
S = -288
Answer:
5
Step-by-step explanation:
Take the cubed root of 125. In other words what number is multiplied by itself three times to get 125.
5x5x5= 125
Answer:
6, 7, and 8
Step-by-step explanation:
2x/3 + 7 <u>></u> 11
Subtract 7 from both sides
2x/3 <u>></u> 4
Multiply both sides by 3
2x <u>></u> 12
Divide both sides by 2
x <u>></u> 6
6, 7, and 8 are the ones that work
Answer:
40%.
Step-by-step explanation:
Prob( Rolling a 4) = 12/50
Prob( Rolling a 3) = 8/50
When the combined probabilities contain an 'OR' we Add the probability values:
Probability of a 3 or a 4
= 12/50 + 8/50
= 20/50
= 2/5
= 40%.
60 times 0.14 = 8.4
You would give $8.40 as a tip of 14% from a bill of $60
