1. Write and solve an inequality that represents the number of months the center could
1 answer:
Solution :
Given that the Centre is signing up for a rental game service online rather than buying the game.
The monthly fees and the equipment cost of the two services that is the 'Anytime games' and the 'Netgames' are attached below.
Therefore, the inequality which represent the number that the center can rent the online games from the NetGames is :
175 - 8m ≥ 99
175 - 8m - 99 ≥ 99 - 99 (Subtracting 99 from both side of the inequality)
76 - 8m ≥ 0 (Simplify)
76 - 8m -76 ≥ 0 - 76 (Subtracting 76 from both side of the inequality)
- 8m ≥ - 76 (Simplify)
8m ≥ 76 (removing the minus sign form both sides)
(Divide each side of the inequality by 8)
m ≥ 9.5
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The value of $500 after four years is $610
<u>Step-by-step explanation:</u>
It is given that, the value of $500 increases at a rate of 5% per year.
The exponential formula is given by .
where,
- a is the initial amount.
- b is the growth factor .
The growth factor b is replaced by either (1 + r) or by (1 - r).
where, r is the rate per year.
b= (1+r) represents the increase in growth rate.
b= (1-r) represents the decrease in growth rate.
Here, the growth rate is increased. So the formula is given by
where,
- The initial amount, a = 500.
- Rate, r = 5% = 5/100 = 0.05
- Number of years, n= 4.
- y = value of the item after 4 years
<u>To find y value :</u>
⇒
⇒
⇒
⇒
Therefore, the value of the item after four years is $610.