You have just purchased a new car. The table below shows the value of the car after n years.nV200001160002 12800Assume that the depreciation is exponential. Write the equation of the exponential model for thissituation. Round any decimals to two places. Use the indicated variables and proper function notation.VYou finance the car for 60 months (5 years). What will the value of the car be when the loan is paid off?In 60 months, the car will be worth $Round your answer to the nearest dollar.

Answered: Image /qna-images/answer/17ac90ce-e5b0-4a39-8fca-c410cd4c3512.jpg

Answered: You have just purchased a new car. The…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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D=7 3. a. Salma has an investment account which give simple interest with rate (D+2)%. How many years will it take for the principal amount to triple in value? F=7 C=2 b. If the bank applies compound interest rather than simple interest which is compounded every 6 months, how much it will take for the principal amount to be triple in value?
Complete the table by finding the balance A when P dollars is invested at rate r for t years and compounded n times per year. (Round your answers to the nearest cent.) P = $1200, r = 6%, t = 40 years Find the continuous compounding after 40 years: $
K The following table gives the monthly premiums for an insurance policy on people of various ages. a. Find an exponential function that models the monthly premium as a function of age. b. Find the quadratic function that is the best fit for the data. c. Graph each function with the data points to determine which model is the better fit. a. The exponential function that models the data is y= (Use integers or decimals rounded to the nearest thousandth as needed for any numbers in the expression.) Age 35 40 45 50 55 Monthly Premium (S) 120 151 219 334 532 Age 60 65 70 75 Full data set O Monthly Premium (S) 980 1789 3208 5729
A bank features a savings account that has an annual percentage rate of r = 2.9% with interest compounded quarterly. Emma deposits $5,000 into the account. r\ kt The account balance can be modeled by the exponential formula A(t) = al1 -+ where A is account value after t years , a is the principal (starting amount), r is the annual percentage rate, k is the number of times each year that the interest is compounded. (A) What values should be used for a, r, and k? a = r = k (B) How much money will Emma have in the account in 9 years? Amount $ %3D Round answer to the nearest penny. (C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year). APY % Round answer to 3 decimal places.
y-()" A B y= -2(3)* (c y= -3-2* D y=3*
Write an equation for the function graphed below. The y intercept is at (0,0.5) 5 4 3 -5 -4 -3 -2 -1 1 2 3 4 5 7 -2 -3 -4 -5 y = The count in a bacteria culture was 900 after 15 minutes and 1700 after 35 minutes. Assuming the count grows exponentially, What was the initial size of the culture? Find the doubling period. Find the population after 100 minutes. When will the population reach 11000.

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