Answer:
First, keep the first number, Second, change the operation from subtraction to addition, Next, get the opposite sign of the second number (known as the subtrahend) and Lastly, proceed with the regular addition of integers.
Step-by-step explanation:
Answer: 25 + 15x ≤ 150
Step-by-step explanation: For this problem we will write an inequality to represent this situation.
Let x equal each additional day.
25 + 15x ≤ 150
The inequality above states that the dog owner will spend $25 for the first day and then for each additional day the dog owner will spend $15, but is budget is no more than $150 that the dog owner can spend.
∠ Given are (x + 18)° , x° , 4x° and one Angle is 90° as per diagram
Let ,
1st∠ = (x + 18)°
2nd∠ = x°
3rd∠ = 4x°
so ,
substituting x = 12 at the place of x .
= x° + 18°
= 12° + 18 °
1st∠ = 30°
__________________________________
= x°
2nd∠ = 12°
__________________________________
= 4x°
= 4(12)°
3rd∠ = 48°
This exponential growth/decay (in this case decay because r<1) of the form:
f=ir^t, f=final value, i=initial value, r=common ratio or "rate", t=time.
Since the population decreases by 4.5% each year the common ratio is:
r=(100-4.5)/100=0.955 so we can say
P(t)=8500(0.955^t)
....
7000=8500(0.955^t)
14/17=(955/1000)^t taking the natural log of both sides
ln(14/17)=t ln(955/1000)
t=ln(14/17)/ln(955/1000)
t≈4.22 years (to nearest hundredth of a year)
Since t is the years since 2010, the population will fall to 7000 in the year (2010+4.22=2014.22, more than four years will have elapsed) 2015.
