An equation for the depreciation of a car is given by y = a(1 – r)t , where y = current value of the car, a = original cost, r = rate of depreciation, and t = time, in years. the value of a car is half what it originally cost. the rate of depreciation is 10%. approximately how old is the car?

The car is 6.5788 years old.

Step-by-step explanation:

The key to solve the problem is in the following sentence: "The value of a car is half what it originally cost". Keep in mind that is the current value and is the original cost. It means that is half of : .

It is assumed that the rate of depreciation is annually and its value is . Remember that equals , so .

For finding the value of , you must replace the values of and in the depreciation formula:

After cancelling the variable the equation would be:

For finding the value of you must apply natural algorithm in both sides:

The previous value can be split in two parts: . The first part refers to years and the second part can be converted to months by multiplying the total months in a year () by .

Thus, the car is 6.5788 years old (which is approximately 6 years and almost 7 months).

answer: ay  

fonsi  

dy  

oh

oh no, oh no

oh yeah

diridiri, dirididi daddy  

go

sí, sabes que ya llevo un rato mirándote  

tengo que bailar contigo hoy (dy)  

vi que tu mirada ya estaba llamándome  

muéstrame el camino que yo voy (oh)

tú, tú eres el imán y yo soy el metal  

me voy acercando y voy armando el plan  

solo con pensarlo se acelera el pulso (oh yeah)

ya, ya me está gustando más de lo normal  

todos mis sentidos van pidiendo más  

esto hay que tomarlo sin ningún apuro

despacito  

quiero respirar tu cuello despacito  

deja que te diga cosas al oído  

para que te acuerdes si no estás conmigo

despacito  

quiero desnudarte a besos despacito  

firmo en las paredes de tu laberinto  

y hacer de tu cuerpo todo un manuscrito (sube, sube, sube)

(sube, sube)