Answer:
32
Step-by-step explanation:
3+30-1
33-1
32
You did not include the questions, but I will give you two questions related with this same statement, and so you will learn how to work with it.
Also, you made a little (but important) typo.
The right equation for the annual income is: I = - 425x^2 + 45500 - 650000
1) Determine <span>the youngest age for which the average income of
a lawyer is $450,000
=> I = 450,000 = - 425x^2 + 45,500x - 650,000
=> 425x^2 - 45,000x + 650,000 + 450,000 = 0
=> 425x^2 - 45,000x + 1,100,000 = 0
You can use the quatratic equation to solve that equation:
x = [ 45,000 +/- √ { (45,000)^2 - 4(425)(1,100,000)} ] / (2*425)
x = 38.29 and x = 67.59
So, the youngest age is 38.29 years
2) Other question is what is the maximum average annual income a layer</span> can earn.
That means you have to find the maximum for the function - 425x^2 + 45500x - 650000
As you are in college you can use derivatives to find maxima or minima.
+> - 425*2 x + 45500 = 0
=> x = 45500 / 900 = 50.55
=> I = - 425 (50.55)^2 + 45500(50.55) - 650000 = 564,021. <--- maximum average annual income
Answer:
3,375 chairs
Step-by-step explanation:
The weight of 25 folding chairs is 15 kg
Number of folding chairs : weight
= 25 : 15
How many chairs can be loaded on a truck having a capacity of
carrying 2025 kg load?
Let number of folding chairs = x
Number of folding chairs : weight = x : 2025
Equate both ratios
25 : 15 = x : 2025
25/15 = x/2025
Cross product
25 * 2025 = 15 * x
50,625 = 15x
x = 50,625/15
x = 3,375
Number of folding chairs = 3,375 chairs
Answer: 2 feets
Step-by-step explanation:
Recommended density = 7 fish/ ft^3
If recommended density guideline is followed:
Number of fishes in aquarium = 42
Length of aquarium = 3ft
Width = 1ft
Height =?
Volume of aquarium = Length × width × height
Volume = 3 × 1 × h = (3ft^2 × h)
Therefore ;
If
1ft^3 = 7 fishes
x ft^3 = 42 fishes
Cross multiply
7(x)ft^3 = 42 fishes
x ft^3 = (42÷7)
x ft^3 = 6
Therefore volume of the aquarium with 42 fishes is 6ft^3
Volume = (3ft^2 × h)
6ft^3 = 3ft^2 × h
h = (6ft^3) / (3ft^2)
h = 2ft
