Question

Suppose your annual income is I(t) = 57,000 + 2,000t   (0 ≤ t ≤ 3) dollars...

Suppose your annual income is

I(t) = 57,000 + 2,000t   (0 ≤ t ≤ 3)

dollars per year, where t represents the number of years since you began your job, while your annual expenses are

E(t) = 36,000 + 1,500t   (0 ≤ t ≤ 3)

dollars per year. Find the area between the graphs of I(t) and E(t) for 0 ≤ t ≤ 3.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
16.Suppose the utility function of Nathasha was given U(I)=(ROOT10I). Where' I' represents annual income (in $1,000)....
16.Suppose the utility function of Nathasha was given U(I)=(ROOT10I). Where' I' represents annual income (in $1,000). Let's say she has a current income of $40,000 (I=40) and is sure to make the same income next year. She has a new job. New jobs have a 0.6 chance of earning $44,000 and a 0.4 chance of earning $33,000. Should she take this job?why?
the monthly income I, in dollars, from a new product is given by I(t) = 8900...
the monthly income I, in dollars, from a new product is given by I(t) = 8900 - 6500e-0.007t where t is the time, in months, since the product was first put on the market. (a) What was the monthly income after the 10th month and after the 100th month? Round to nearest cent. (b) What will the monthly income from the product appraoch as the time increases without bound?
Find the present value P of a continuous income flow of c(t) dollars per year using...
Find the present value P of a continuous income flow of c(t) dollars per year using P = t1 c(t)e−rt dt, 0 where t1 is the time in years and r is the annual interest rate compounded continuously. (Round your answer to the nearest dollar.) c(t) = 100,000 + 4000t, r = 5%, t1 = 8
The annual net income of a company for the period 2007–2011 could be approximated by P(t)...
The annual net income of a company for the period 2007–2011 could be approximated by P(t) = 1.6t2 − 11t + 44 billion dollars      (2 ≤ t ≤ 6), where t is the time in years since the start of 2005. According to the model, during what year in this period was the company's net income the lowest? t =   What was the corresponding net income in billions of dollars? (Round your answer to one decimal place.)
Suppose that a printing firm considers its production as a continuous income stream. If the annual...
Suppose that a printing firm considers its production as a continuous income stream. If the annual rate of flow at time t is given by f(t) = 91.5e−0.8(t + 3) in thousands of dollars per year, and if money is worth 8% compounded continuously, find the present value and future value (in dollars) of the presses over the next 10 years. (Round your answers to the nearest dollar.) present value$ = future value$ =
Find the t-value(s) for each of the following cases. Round your answers to 3 decimals places....
Find the t-value(s) for each of the following cases. Round your answers to 3 decimals places. Enter negative values as negative number. a. upper tail area of .025 with 12 degrees of freedom is b. lower tail area of .005 with 55 degrees of freedom is c. upper tail area of .01 with 30 degrees of freedom is d. where 98% of the area falls between these two t-values with 25 degrees of freedom (_____, _____) e. where 95% of...
suppose you'll have an annual nominal income of $25000 for each of the next 3 years,...
suppose you'll have an annual nominal income of $25000 for each of the next 3 years, and the inflation rate is 5 percent per year. (a) find the real value of your $25000 salary for each of the 3 years year 1- year 2- year 3- (b) if you have a COLA in your contract, and the inflation rate is 5 percent per year, what is the real value of your salary of $25000 for each year? year 1- year...
Annual income of staff of DebMarine (in thousands of dollars) and years their years of experience....
Annual income of staff of DebMarine (in thousands of dollars) and years their years of experience. A random sample of DebMarine staff Annual income and years of experience are as follows. Years of education (x) 3 3 5 7 5 10 7 15 7 10 5 15 5 Annual Income (000s) (y) 17 15 20 30 23 40 27 45 31 43 27 50 25 a. Which variable is the dependent variable? [2] b. Determine the least squares estimated regression...
The population, P, of a small town is modelled by the function P(t)=-2t3+55t2+15t+22000 , where t=0...
The population, P, of a small town is modelled by the function P(t)=-2t3+55t2+15t+22000 , where t=0 represents the beginning of this year. a) What is the initial population? b) What is the population at the end of 10 years? c) What is the average rate of change over 10 years? d) Estimate the instantaneous rate of change at the end of the10th year. e) What is the difference between your answer in b) and d)?
1. When a commercial bakery employs w full time bakers, the daily costs, in dollars, is...
1. When a commercial bakery employs w full time bakers, the daily costs, in dollars, is given by C(w)= 400w+ 1200√w, where C(w ) is in dollars. In order to produce x loaves of bread each day, they need w(x)= 0.005x+750/x bakers. The bakery currently supplies 500 loaves of bread each day. At what rate is the daily costs changing with respect to the number of loaves of bread they supply? Include units! 2.The number of babies born in a...