Answer:
a₁ = 6
Step-by-step explanation:
The sum to n terms of a geometric sequence is
= 
where a₁ is the first term and r the common ratio
Here 
= 1530 and r = 2, thus
= 1530 , that is
a₁ (256 - 1) = 1530
255a₁ = 1530 ( divide both sides by 255 )
a₁ = 6
Answer:
Company B
Step-by-step explanation:
A is $0.15/min
because 76/500
B is $0.12/min
because 54/450
Company B is cheaper so it would be the better deal
Answer: 19
Step-by-step explanation:
<h2>
Answer:</h2>
<h3>
<em>x=45degrees</em></h3>
<h2>
Step-by-step explanation:</h2>
Let the angle to be solved be x
Let the supplement/compliment by y
x+y=90 Complimentary angles add up to 90 degrees.
x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.
Evaluating this as a system:
x+y=90 Isolate x:
x=90−y Input into the other equation:
(90−y)+3y=180 Combine like terms, isolate y and its coefficients:
2y=90 Isolate y
y=45 Input into the first equation:
x+45=90 Isolate x:
x=45degrees
Answer:A) 1.5
Step-by-step explanation: Bob runs at the rate of 8mins per mile
In 60mins his rate would be=60/8=7.5
Let a be the distance he further runs south
2s+3.25
Total distance covered in 50mins=Time=distance/speed=
50/60
50/60=2s +3.25/7.5
Cross multiply
60(2s+3.25)=50×7.5
120s+195=375
120s=375-195
S=180/120
S=1.5
