Answer:
The nail would be 30 feet above the ground in 10 years.
Step-by-step explanation:
We are given the following in the question:
Height of nail = 10 feet.
The tree grows taller at a rate of 2 feet per year.
Thus, the height of nail can be represented by a linear function:

where t is the number of years.
We have to find the height of nail in 10 years.
Putting t = 10, we get,

Thus, the nail would be 30 feet above the ground in 10 years.
Answer:
The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg
Step-by-step explanation:
Let
x=nuts at $2.50 per kg
y=cereal at $1 per kg
x+y=60 kg (1)
2.50x+y=1.40(60) (2)
From (1)
x=60-y
Substitute x=60-y into (2)
2.50x+y=1.40(60)
2.50(60-y)+y=84
150-2.5y+y=84
-1.5y=84-150
-1.5y=-66
Divide both sides by -1.5
y=44 kg
Substitute y=44 into (1)
x+y=60
x+44=60
x=60-44
=16
x=16 kg
200 +5(200) = 1200 mochas a week in total
They sold 1000 iced mocha in a week
200 x 4=800 hot mochas in 4 weeks
1000 x 4=4000 iced mochas in 4 weeks
They sold 4000-800= 3200 more iced mochas in 4 weeks
The answer would be the last one.