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:
a. 90 pack
b. $0.27
c. $0.18
d. $0.21
e. 60 pack
Step-by-step explanation:
a. i think the 90 pack container should be having least unit rate per pack,as purchasing in bulk amount the cost of a unit should be reduced to some amount which is must to lure the customer to purchase in bulk amounts.
b. unit price = total cost of container ÷ number of individual units inside it
for 20 pack, unit rate = 5.49÷20 = $0.27
c. for 60 pack, unit rate = 10.97÷60 =$0.18
d. for 90 pack, unit rate = 18.95÷90 =$0.21
e. ∴ the 60 pack container has the least unit rate per pack which is in contrary with our expectation of 90 pack to be lowest expecting bulk order.
The formula of the volume of a cylinder:
We have:
and
substitute:
Answer: The area of a base of the cylinder is equal 45 dm².
