ANSWER
EXPLANATION
The sum of the first terms of a geometric sequence is given by;
Where , is the number of terms and is the first term.
When , we have , we get;
Answer:
x=1 or x=−2
Step-by-step explanation:
16x2+10x−27=−6x+5
Step 1: Subtract -6x+5 from both sides.
16x2+10x−27−(−6x+5)=−6x+5−(−6x+5)
16x2+16x−32=0
Step 2: Factor left side of equation.
16(x−1)(x+2)=0
Step 3: Set factors equal to 0.
x−1=0 or x+2=0
x=1 or x=−2
<h3>
Answer: 985</h3>
=============================================
Work Shown:
A = amount after t hours
P = initial amount = 100
r = growth rate in decimal form = 0.10
t = number of hours = 24
--------
A = P*(1+r)^t
A = 100(1+0.10)^24
A = 100*(1.10)^24
A = 100*9.84973267580762
A = 984.973267580762
A = 985
1/5^2 = 1/25
1/5^1 = 1/5
1/5^0 = 1
1/5^-1 = 5
1/5^-2 = 25