Answer:
w =< 70
(width is less or equal to 70 inches)
Step-by-step explanation:
Let l = length, w = width, h = height
Restrictions given in this question:
'sum of perimeter of the base and the height cannot exceed 130 inches'
perimeter of the base is 2 width and 2 length of the box
perimeter = 2w + 2l
Therefore, inequality involves here is
2w + 2l + h =< 130
(Note that =< here means less or equal)
Then a new condition given with
height, h = 60 in
and length is 2.5 times the width
l = 2.5w
Substitute this new condition into the equation will give us the following:
2w + 2(2.5w) + 60 =< 130
2w + 5w + 60 =< 130
7w + 60 =< 130
7w =< 130-60
7w =< 70
w =< 10
Step-by-step explanation:
Atmost means less than 45:
Let us assume number is x
x<45(at most)
Atleast means more than 45:
x>45
Answer:
18.5
Step-by-step explanation:
Since she was paid $111 for 6 hours, you divide 111/6 to get 18.5
Answer:
b $3,272.43
Step-by-step explanation:
A = p(1+r/n)^nt
Where
A= future value
P= principal = $2500
r= interest rate = 6.75% = 0.0675
n = number of periods = 12
t = time = 4 years
A = p(1+r/n)^nt
= 2500(1+0.0675/12)^12*4
= 2500(1+0.005625)^48
= 2500(1.005625)^48
= 2500(1.3089737859257)
= 3272.4344648144
Approximately
A= $3272.43
He will have $3272.43 to give as down payment in 4 years
<span>Shaded region is when x is negative</span>
