Answer:
Refer to attached
Step-by-step explanation:
<u>Given inequality</u>
<u>We can put this as</u>
We know the given exponential function has positive range y > 0
And the linear inequality covers the space above the line
This is all matching the last graph that is attached
Answer:
5%
Step-by-step explanation:
<u>price after discount :</u>
9 600 - 9 600×40%
= 5760
<u>Original price (price without profit) :</u>
let x be the original price of the device.
x + x × 20% = 5760
Then
x = (5 760×100)÷120
= 4 800
<u>Original price increased by 30% :</u>
4 800 + 4 800×30%
= 6 240
<u>the discount needed to increase the profit by 10% :</u>
[(9 600-6 240)÷9 600]×100
= 35%
Then
to increase the profit by 10% ,we have to reduce
the percent of discount to :
40% - 35%
= 5%
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.
The Romans no longer feared him after his death in 453.
Let the year be represented by = x
So, inequality becomes -
453<x ; x will be smaller than 453 because Hun was dead in 453. So 453 and any number smaller than that would be the times in his life that he would have been feared.
The answer to 392,196=4,508
