Question

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

Answer 1

1)post a question
2) tag
:-)

Answer 2

depreciated meaning what ?
any idea how to start ?

Answer 3

key words
depreciated
constant rate *per* year

Answer 4

multiply something but no idk where to start

Answer 5

depreciate =decrease

Answer 6

so
\[\huge\rm f(t)=P (1- \frac{ r }{ 100 })^t\]
r=rate
p =starting amount
t= years
substitute values :-) and then sovle

Answer 7

where are the vlues?

Answer 8

read the question :-)

Answer 9

f(t)=54,205(1-r/100)^1?

Answer 10

alright great can you solve for r :-)
and yeah when t=1
f(t) = 47158.35 :-)

Answer 11

\[47158.35 =54,205(1-\frac{r}{100})^1\]

Answer 12

you would diode 54,205 on the other side right

Answer 13

yep divide**

Answer 14

47185/54205=(1-6/100)^1

Answer 15

6 is r srry

Answer 16

yep right :-) solve for r

Answer 17

now I'm confused how to do that can u show me please?

Answer 18

47185/54205= ??

Answer 19

anything to the 1 power equal to same thing
so (1-r/100)^1
= 1-r/100

Answer 20

-1?

Answer 21

nope 47185/54205= ??
divide this first

Answer 22

ok

Answer 23

0.87