a.
In order to find the common ratio, we just need to divide a term by the term that comes before it.
So using the terms 20 and -5, we have:

b.
The recursive rule can be found with the formula:

Where an is the nth term and q is the ratio. So we have:

c.
The explicit rule can be written as:

Where an is the nth term, a1 is the first term and q is the ratio. So:
Answer:
Let g represent the cost of gas and e represent the cost of electricity.
150g + 520e = 84.20 ⇒ 7(150g + 520e = 84.20) ⇒ 1050g + 3640e = 576.80
210g + 405e = 82.35 ⇒ -5(210g + 405e = 82.35) ⇒ -1050g - 2025e = -411.75
1615e = 165.05
e = 0.10
150g + 520(0.10) = 84.20
150g + 52 = 84.20
140g = 32.20
g = 0.23
Answer: gas = $0.23, electricity = $0.10
Step-by-step explanation:
Answer: 56
Step-by-step explanation:
The negative sign shows that they still owed $5000 to the creditors which shows a loss of money between June and December.
Step-by-step explanation:
Amount owed at the end of June = $3765
Amount owed at the end of December = $8765
As Hightop Roofing owed creditors the amount, therefore, we will consider the amount as negative, therefore,
Amount in June = -3765
Amount in December = -8765
To see the difference, we will subtract the amount owed in June from the amount owed in December.

The negative sign shows that they still owed $5000 to the creditors which shows a loss of money between June and December.
Keywords: difference, loss
Learn more about losses at:
#LearnwithBrainly
Answer:
10701.97 feet.
Step-by-step explanation:
Refer the attached figure
The angle of elevation of a point, A, at the top of a cliff is 21° i.e. ∠ACB = 21°
The ship has sailed 2,500 feet directly toward the foot of the cliff i.e. CD = 2500 feet.
Then the angle of elevation becomes 47° i.e.∠ADB = 47°
Let BD be x
So, BC = BD+DC=x+2500
Let the height of the cliff be h feet.
In ΔABD
We will use trigonometric ratios



---a
In ΔABC
We will use trigonometric ratios




-----b
Equate a and b

Thus the height of the cliff is 10701.97 feet.