A car that originally cost $20,000 depreciates (loses value) by 15% each year. In about how many years will the car be worth half its value? Use the equation 10,000 = 20,000(0.85)^x to solve the problem. Round your answer to the nearest dollar.

? years

Question

02-05-2017
Mathematics

contestada

A car that originally cost $20,000 depreciates (loses value) by 15% each year. In about how many years will the car be worth half its value? Use the equation 10,000 = 20,000(0.85)^x to solve the problem. Round your answer to the nearest dollar.

? years

Respuesta :

Otras preguntas

The length, breadth ND height of box are 32 cm 16cm, 8cm.wht is the maxim length of the string that can be used to measure the sides of the box exactly

How do I know that the following equation is true:

when driving what should you do at a do not enter sign

solution for 2x is equal to 10

need to the answer ASAP

Please select the word from the list that best fits the definition Juana había ido a caminar en la montaña. tomar un crucero hacer senderismo ir al cine comprar

Read the excerpt from "Our Backyard Is 85 Million Acres." On the Fourth of July, as we once more read the stirring words of the Declaration of Independence and

Which features make this an example of a Shakespearean sonnet? Select three options. the abab, cdcd, efef, gg rhyme scheme the groupings of two stressed syllabl

Kelly bought Mason’s home for $255,500. Mason had prepaid the annual property taxes of $2,650. If closing costs are calculated on a 365-day year, and the transa

The average age of a part-time seasonal employee at a Vail Resorts ski mountain has historically been 37 years. A random sample of 50 part-time seasonal employe

jsg jsg · Answer 1 · 2017-05-02T05:39:10+02:00

Is the question - did they mistakenly say "dollar" rather than "years?"

x = # of years

10,000 = 20,000 (0.85)^x, first divide both sides by 20,000
0.5 = (0.85)^x, next take the ln of both sides
ln 0.5 = ln (0.85)^x, by rules of logarithms you may move x to make it a coefficient of the logarithm
ln 0.5 = x (ln 0.85), divide both sides by ln (0.85)
x = (ln 0.5)/ (ln 0.85) = (-0.693)/(-0.1625) = 4.26 years

Fishfry24 Fishfry24 · Answer 2 · 2021-03-17T17:25:32+01:00

Fishfry24 Fishfry24

17-03-2021

Answer:

4 years

Step-by-step explanation:

Answer Link

A car that originally cost $20,000 depreciates (loses value) by 15% each year. In about how many years will the car be worth half its value? Use the equation 10,000 = 20,000(0.85)^x to solve the problem. Round your answer to the nearest dollar. ? years

Respuesta :

Otras preguntas

A car that originally cost $20,000 depreciates (loses value) by 15% each year. In about how many years will the car be worth half its value? Use the equation 10,000 = 20,000(0.85)^x to solve the problem. Round your answer to the nearest dollar.

? years