Answer:
b(b/a)^2
Step-by-step explanation:
Given that the value of the car depreciates such that its value at the end of each year is p % less than its value at the end of the previous year and that car was worth a dollars on December 31, 2010 and was worth b dollars on December 31, 2011, then
b = a - (p% × a) = a(1-p%)
b/a = 1 - p%
p% = 1 - b/a = (a-b)/a
Let the worth of the car on December 31, 2012 be c
then
c = b - (b × p%) = b(1-p%)
Let the worth of the car on December 31, 2013 be d
then
d = c - (c × p%)
d = c(1-p%)
d = b(1-p%)(1-p%)
d = b(1-p%)^2
d = b(1- (a-b)/a)^2
d = b((a-a+b)/a)^2
d = b(b/a)^2 = b^3/a^2
The car's worth on December 31, 2013 = b(b/a)^2 = b^3/a^2
Answer:
The rate of change = 3
Initial value = 2
Step-by-step explanation:
The linear function has the form ⇒ y = mx + c
Where m is the slope or the rate of change, and c is y-intercept.
Given: A linear function passes through the point (1,5)and (7,23)
So, m = (y₂-y₁)/(x₂-x₁) = (23-5)/(7-1) = 18/6 = 3
So, y = 3x + c
By substitution with the point (1,5)
So, at x = 1 , y = 5
5 = 3*1 + c
c = 5 - 3 = 2
∴ y = 3x + 2
so, the rate of change = 3
And initial value = 2
initial value is the value at which x = 0 which is the y-intercept
Answer:
160
Step-by-step explanation:
226
-160
____
66
-64 (4 in the quotient)
____
2
Answer:
Step-by-step explanation:
First, calculate the volume of the original prism using;
Next, find the volume of the dilated prism by multiplying the original prism by;
Volume of dilated prism;
