Five years ago a family was in debt $9.000. They are now in debt $10,000. Assuming their indebtedness is changing at a rate proportional to their indebtedness, predict their indebted- ness 5 years from now.

Five years ago a family was in debt $9.000. They are now in debt $10,000. Assuming their indebtedness is changing at a rate proportional to their indebtedness, predict their indebted- ness 5 years from now.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 64SE: A car was valued at 38,000 in the year 2007. By 2013, the value had depreciated to 11,000 If the...

See similar textbooks

Related questions

Q: Find the general solution for differential equation.

A: Use linear differential method to solve

Q: 3 (3x? — 6ху) dx — (3x? + 2у) dy 3D0 -

Q: čônčěntrátion enters the tank at 20 kg/min and the mixture leaves the tank after complete mixing at…

A: Given Mass=1000 kg of a 10% salt solution Tinput=2okg/minute→2o% concentration Toutput=1okg/minute…

Q: I. dy tan(x) dx Cos (x) + x²

A: Given equation is dydx=tanxcosx+x2 What is the best way to solve the First Order Differential…

Q: Elimination of Arbitrary Constants Problems: (c)x² + y² + 2ax + 2by + c = 0

Q: Exercises. Find the general solution, and if an initial value is given, solve the IVP: (2) y" + 8y'…

A: As per our guideline we are allowed to do 1 question at a time . Please post other questions next…

Q: xy dx + (y+ 1)e¯*dy=0

Q: dy dx Vx² – 16 х d explicit particular solution of the initial value problem 2y- У(5) %3D2

Q: (a) y = Ae + Be+Ccos 2x + Dsin 2x

Q: (2 + tan2x)(1+е"У)dx — е У tan x dy %3D 0 = 0 %3D

A: Given differential equation is 2+tan2x1+e-ydx - e-ytan x dy = 0, yπ2=0

Q: A saturated solution known to contain 50 g of solute per 100 grams of solvent. If 30 g of the solute…

A: The curve show that there is exponential decay. A=A0e-kt------->>>eqn(1) Now 10gm is…

Q: ydy + (xy² – x) dx = 0; when x = 0, y = -1

A: Given:- ydy+(xy2 -x) dx=0 To find:- Particular solution of given differential equation x = 0 , y =-1

Q: y =Cjx +Cze* %3D

Q: ) xy dx - (xt2) dy =0

Q: (D³ + 3D² – 4D – 12)y = 0

A: To solve the given differential equation.D3+3D2-4D-12y=0

Q: X"+XX=D0 X(カ)=0

A: An ordinary differential equation is a differential equation containing one or more functions of one…

Q: 1. A certain radioactive substance has a half-life of 38 hr. Find how long it takes for 90% of the…

Q: xydx + 2(x2 +2y)dy=D0; when x= 0, y= 1

Q: dP Р 2P (1- dt - kP 25

A: dPdt=2P1-P25-kPdP2P1-P25-kP=dtdPP2-k-2P25=dt12-k1P+2/252-k-2P25dP=dt

Question

What's the process to get the answer in this problem about application of differential equation?

Five years ago a family was in debt $9.000. They are now in debt $10,000. Assuming their
indebtedness is changing at a rate proportional to their indebtedness, predict their indebted-
ness 5 years from now.
60
Ans: Ng =¢10, DOO
9
= $ 11, .1|

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Alyssa opened a retirement account with 7.25 APRin the year 2000. Her initial deposit was 13,500. How much will the account be worth in 2025 if interest compounds monthly? How much more wouldshe make if interest compounded continuously?
According to your model, what is the length of the sunspot cycle (in years)? In 1848, Rudolph Wolf determined the length of the sunspot cycle to be 11.1 years. How does your value compare with his?
Round 0.42538 to 2 decimal places.
A car was valued at 38,000 in the year 2007. By 2013, the value had depreciated to 11,000 If the car’s valuecontinues to drop by the same percentage, what willit be worth by 2017 ?
The volume of a gas in a container varies inversely as the pressure on the gas. If a container of argon has a volume of 336 cubic inches under a pressure of 2,500 psi, what will be its volume if the pressure is decreased to 2,000 psi?
The force needed to break a board varies inversely with its length. If Tom uses 20 pounds of pressure to break a 1 .5-foot long board, how many pounds of pressure would he need to use to break a 6 foot long board?
In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In 2014, Los Angeles also experienced an earthquake which measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes.
please see attached photo. thank you!
A cheese manufacturer produces18,000 pounds of cheese from January 1 through March 24.Suppose that this rate of production continues for the remainderof the year. Predict, to the nearest pound, the number of pounds produced for the year.
Find the annual rate per cent that earns $234 simple interest when $900 is invested for 6, years.
If seco-20 find coto %3D 4
Which is the correct relationship to use to answer the question in the following word problem. Mario currently has $1,410 in his savings account. He has been saving the same amount each month for six months. How much money was Mario saving each month? Options: • ? = 6 x 1,410 • ?^6 = 1,410 • 1,410/6= ? • 6 + ? = 1,410