Answer:
60
Step-by-step explanation:
You need to think of it as an equation system.
First of all, let's call A the apple trees, P the pear trees and V the avocado's trees.
As for every 3 pear trees we have 4 apple trees, it can be written as:
4A = 3P
Then, we can clear the pears dividing both sides by 3:
4A/3 = 3P/3
(4/3)A = P
This is, we have one pear tree for every 4/3 apple trees.
Then we go to the other relation. For every 5 pears trees there are two avocados trees:
2V = 5P
As we want the ratio of avocados to apples we can replace the pear trees by it's expression depending on A:
2V = 5 ((4/3)A)
2V = (20/3) A
Multiplying both sides by 9 we make appear our 18 avocados trees:
2V *9 =( 20/3) A * 9
18 V = 60 A
So, for 18 avocados trees we have 60 apple trees.
Answer:
$116800
Step-by-step explanation:
Step one:
given
principal= $40,000
rate= 5.5%
time = 20 years
Step two:
the final amount is expressed as
substitute
$116800
Answer:
10
Step-by-step explanation:
IT WANTS YOU TO ESTIMATE IT SO YOU ROUND 48 TO 50 AND 35 TO 40 THEN YOU SUBTRACT 50 BY 40 AND THEN YOU GET 10.
250 miles ÷ 4.5 hours = 56 mph (rounded from 55.55555)
Answer:
(a) - 25 boxes per dollar
(b) - 20 boxes per dollar
Step-by-step explanation:
Given that,
Consumer's willing to buy boxes of nails at p dollars per box:
N(p) = 80 - 5p^{2}
(a) Change in price from $2 to $3.
N(2) = 80 - 5(2)^{2}
= 80 - 20
= 60
N(3) = 80 - 5(3)^{2}
= 80 - 45
= 35
Therefore, the average rate of change of demand is
= [N(3) - N(2)] ÷ (3 - 2)
= 35 - 60
= - 25 boxes per dollar.
(b) N(p) = 80 - 5p^{2}
Now, differentiating the above function with respect to p,
N'(p) = -10p
Therefore, the instantaneous rate of change of demand when the price is $2 is calculated as follows:
N'(p) = -10p
N'(2) = -10 × 2
= -20 boxes per dollar
