An=a1r^(n-1)
given
a5=1/24
a10=1/768
we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)
so
1/24=a1r^4
1/768=a1r^9
(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32
r^5=1/32
take 5th root of both sides
r=1/2
we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3
the first term is 2/3
Of means multiply
3/5 *n=30
3/5 5/3 cancels than you do 30 *5/3 =50
The answer is 50 you can check your answer by doing 3/5 *50=150/5 or 30 so it's correct .
<span>y+4=3(x-7)
y + 4 = 3x - 21
y = 3x - 21 -4
y = 3x - 25
when x = 7
y = 3(7) - 25
y = -4
Therefore (7, -4) pass through this equation </span>
Answer:
Naomi will get paid $630 if she only works 30 hours this week.
Step-by-step explanation:
You divide 840 by 40 to see how much you get paid per hour.
Once you do that you get $21 per hour.
You multiply 21 by 30 to know how much you'd be paid for working 30 hours.
You get your final answer which is $630.
