Answer:
that would 6a+4
Step-by-step explanation:
8a - 2a , 8 - 4
Answer:
1.953125 or 2, not sure if you need to round.
Answer:
22 Nah I'm kidding, it's 4
Step-by-step explanation:
This was fun
Answer:
Hourly Rate = $12.22 per hour
Step-by-step explanation:
Overhead Rate = 95%
Retail price of parts = $134.75
Total cost of job = $241.98
Cost of labor = Total cost - Retail price
= 241.98 - 134.75
= $107.23
Now, labor works for 4.5 hours and ears a total amount of $107.23
Now, Labor will get 95% overhead rate
⇒ The labor is getting 100% already but an overhead of 95% is also given
Answer:
the common ratio is either 2 or -2.
the sum of the first 7 terms is then either 765 or 255
Step-by-step explanation:
a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.
so,
a1
a2 = a1×f
a3 = a2×f = a1×f²
a4 = a3×f = a1×f³
the problem description here tells us
a3 = 4×a1
and from above we know a3 = a1×f².
so, f² = 4
and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).
again, the problem description tells us
a2 + a4 = 30
a1×f + a1×f³ = 30
for f = 2
a1×2 + a1×2³ = 30
2a1 + 8a1 = 30
10a1 = 30
a1 = 3
for f = -2
a1×-2 + a1×(-2)³ = 30
-10a1 = 30
a1 = -3
the sum of the first n terms of a geometric sequence is
sn = a1×(1 - f^(n+1))/(1-f) for f <>1
so, for f = 2
s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765
for f = -2
s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =
= -1×-255 = 255
