Samuel bought a cement mixer for $54,205. the value of the cement mixer depreciated at a constant rate per year. the table below shows the value of the cement mixer after the first and second years:

year 1 2 value (in dollars) 47,158.35 41,027.76

which function best represents the value of the cement mixer after t years?

f(t) = 47,158.35(0.87)t
f(t) = 54,205(0.13)t
f(t) = 47,158.35(0.13)t
f(t) = 54,205(0.87)t

Step by step explanation

Year                       1                 2

Value (in dollars)47,158.35      41,027.76

Initial value of cement mixer = $54,205

For depreciation we use formula y=ab^t

Where 'a' represents the initial value

b is the rate of depreciation

t is the number of years

initial value = 54,205 so a=54,205

When t=1 then y = 47,158.35

We plug in the values in the formula and find out 'b'

Divide by 54205 on both sides

b= 0.87

a= 54,205

So function becomes

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

i dont know sorry

step-by-step explanation: