Answer:
Step-by-step explanation:
The initial height of a Japanese maple sapling is 14 inches. 
The tree is expected to grow 2.5 inches each month. This increase in height is linear, thus it is in arithmetic progression. 
The expression for arithmetic progression is 
Tn = a + (n-1)d
Where a = the first term of the series
d = common difference 
Tn is the nth term of the series
n = the number of terms.
From the information given
a = 14 inches because it is the initial height of the tree
d = 2.5 because it is the difference in height between 2 consecutive months
n = m( number of months)
Tn = f(m)
function models the relationship between the height of the tree f(m) and the number of m months of growth will be
f(m) = 14 + 2.5(m-1)
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Let x = number of hours to pull weed in a day
Let y = number of hours to now lawn in a day
It takes her an average of 3 hours to pull weeds and an average of 2.5 hours to mow the lawn. She can work no more than 8 hours a day.
This means
3x + 2.5y is lesser than/ equal to 8
She charges $50 to weed and $65 to mow the lawn. 
This means she charges 
50x +65y
She needs to cover her expenses of $120 to make a profit. This means she needs to earn an amount greater than or equal to $120
50x + 65y greater than or equal to 120
 
        
             
        
        
        
Answer:
5 hours
Step-by-step explanation:
Step one:'
given data
Angelo charges a one time fee of $50 plus $15 per hour
let the total charge be y
and the number of hours be x
y= 50+15x----------------1
Deborah charges a one time fee of $25 plus $20 per hour
y= 25+20x----------------2
equate 1 and 2 to find x
50+15x=25+20x
collect like terms
50-25= 20x-15x
25= 5x
divide both sides by 5
x= 25/5
x= 5 hours
 
        
             
        
        
        
Answer:
12.05 
Reason: 
 8.6
+3.45
————-
 12.05
Don’t forget to carry the one to the left
6+4= 10 carry the one to the left. 
8+3+1 = 8+4 =12
Answer 12.05 
        
                    
             
        
        
        
5 cm tall and still with a radius of 6 cm... do they want volume?