Answer:
Part a) The constant of variation is 
or 
Part b) 
Step-by-step explanation:
Part a) Find the constant of variation.
we know that
The simple interest formula is equal to
In this linear direct variation the constant r represent the constant of proportionality
where
I is the Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute the values and solve for r
Part b) what will the interest be after 3 years
in this part we have
substitute the values
Answer: 4 seconds
Step-by-step explanation:
Given: The function 
can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet.
Differentiate the given function with respect to t , we get
Put h'(t)=0
Also, 
By second derivative test, h(t) is maximum at t=4.
Hence, the time in Devon which the ball reaches it maximum height = 4 seconds
Answer:
x = -2i and x = 2i
x = 3 and x = - 3
Step-by-step explanation:
x^4 - 5x^2 - 36 = 0
let u = x^2 and substitute
we have:
u^2 - 5u - 36 = 0
(u - 9)(u + 4) = 0
u = 9 and u = - 4
substitute back for u
x^2 = 9
x = 3 and x = - 3
x^2 = -4 -- i am going to assume you've learned imaginary numbers; otherwise, you cannot take the square root of a negative number.
x = -2i and x = 2i
Answer:
The mode is twelve.
Step-by-step explanation:
The mode of a data set is the number that appears the most often. I've added an attachment so that you might be able to see some examples.
6 pencils = 2 rulers
1ruler= 2 eraser
12 pencil = 4 rulers
4rulers=8 eraser
so 8 erasers are equal to 12 pencils
