Colton's mini-van is depreciating at a rate of 5.5% per year. He paid $22,250 for it in 2019. How much will the car be worth in 2025 to nearest cent?

$1584.2

Step-by-step explanation:

Given data

R= 5.5%

T= 2025-- 2019=  6years

P=  $22,25

Let us apply Compound interest formula

A=P(1-r)^r Note negative for  depreciation

A= 2225(1-0.055)^6

A= 2225(0.945)^6

A= 2225*0.712

A=$1584.2

26

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752