Answer:
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
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Answer:
a) no solution
b) no Solution
c) -8
d) -1
sorry if this is wrong this is my first time doing this stuff and im not that great at math, but I helped the best i could
Step-by-step explanation:
Answer:
y=-x-1 or, y-8=-1(x+9)
Step-by-step explanation:
Parallel lines have the same slope. in your current equation you have a slope of <u>-1</u>. We can use this slope and your set of points in the point slope formula.
<u>y-y1=m(x-x1)</u>
(-9, 8)
x1 y1 m=-1
<u>y-8=-1(x+9)</u>
y-8=-1x-9
+8 +8
<u>y=-x-1</u>
Answer:
The Amount of money in the account after 20 years $22,416.
Step-by-step explanation:
Given as :
The principal deposited into account = $4000
The rate of interest = 9% compounded annually
The time period for deposit = t = 20 years
Let the amount into account after 20 years = $A
now, According to question
<u>From compound Interest method</u>
Amount = principal × 
Or, A = $4000 ×
Or, A = $4000 ×
Or, A = $4000 × 
or, A = $4000 × 5.604
So, The amount in account after t years = A = $22,416
Hence, The Amount of money in the account after 20 years $22,416. Answer
The amplitude is 4 I believe