Answer:
y = 4x
Step-by-step explanation:
When we say that x and y "vary directly", we mean that they have the relationship: y = kx, where k is a "constant of proportionality".
Here, we want to know what k is, so we plug 4 in for x and 16 in for y:
y = kx
16 = k * 4
k = 16/4 = 4
Thus, our equation is y = 4x.
Yay, derivitives
I'mma ignore that x is the shorter side because I don't know which one has to be shorter yet
we need to find the max area
but with 3 sides
area=LW
let's say the sides are z and y
zy=area
and the relatiionship between them is
hmm,
z+2y=1200
because one side has no fencing
so
z+2y=1200
solve for z
z=1200-2y
sub for z in other
(1200-2y)(y)=area
expand
1200y-2y²=area
take derivitive
1200-4y=dy/dx area
max is where dy/dx goes from positive to negative
solve for where dy/dx=0
1200-4y=0
1200=4y
300=y
at y<300, dy/dx<0
at y>300, dy/dx>0
so at y=300, that is the max
then
z=1200-2y
z=1200-2(300)
z=1200-600
z=600
so then
z=600
y=300
300<600
so the shorter side would be y
so then we see our choices and noticed that
erm
I think it is f(x)=1200x-2x²
takind the derivitive yeilds none of the others
so ya, you are right
Answer:
The total payment Janie have to make is $5466 .
Step-by-step explanation:
Given as :
The loan principal = $4850
The rate of interest applied = 13.8% compounded monthly
Let The time period of loan = t years
The monthly payment she make = $455.50 each month
I.e She make payment for t years = $455.50 × n
where n is the number of terms
<u>From Compound Interest</u>
Amount = Principal × 
Or, $455.50 × n = $4850 × 
Or,
× n = 
Or, 0.0939 × n = 
Or, 0.0939 × n = 1.14707
∴ n = 
I.e n = 12.21 ≈ 12
So, The number of terms Janie she will pay = 12
So, The total payment she have to make = $455.50 × 12 = $5466
Hence The total payment Janie have to make is $5466 . Answer
Answer:
87
Step-by-step explanation:
16 × 6 = 96 cans
96 - 9 = 87
Answer:
Second choice: i
Square root of -1 is an imaginary number, represented as i.
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