usagirl007A

2021-09-06

The initial value of building is $1,456,000. After one year the value of the building is$1,405,040. What exponential dunction models the expected value of the building? Estimate the value of the building after 5 years.

averes8

Initial value = $1456000 After 1 year, value =$1405040
Let v is the value.
$v=A\cdot {B}^{t}$
$v\left(a\right)=1456000⇒A=1456000⇒v=1456000\cdot {B}^{t}$
$v\left(1\right)=14050040⇒1405040=1456000\cdot {B}^{\left(1\right)}⇒B=0.965$
$⇒v=1456000{\left(0.965\right)}^{t}$ valve after t years
after t=5 years
$v=1456000\cdot {\left(0.965\right)}^{t}=\mathrm{}1218422.59$

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