Question

In: Advanced Math

The following data represent the amount of money and invenstor has in an investment account each...

The following data represent the amount of money and invenstor has in an investment account each year for 10 years.

a. Let x=number of years since 1994 and find an exponential regression model of the form y=ab* for this data set, where y is the amount in the account x years since 1994.

_________________________

b. If the investor plans on retiring in 2021, what will be the predicted value of this accoutn at that time?

________________________________

c. When will the account be worth $50,000?

d. Make a graph of the scatterplot and exponential model below.

Year value of account

1994 $10,000

1995 $10,573

1996 $ 11,260

1997 $11,733

1998 $12,424

1999 $13,269

2000 $13,698

2001 $14,823

2002 $15,297

2003 $16,539

Solutions

Expert Solution

Note: to make the calculation easy, I've taken year 1994 as 4, 1995 as 5 and so on.


Related Solutions

Calculate the amount of money that will be in each of the following accounts at the...
Calculate the amount of money that will be in each of the following accounts at the end of the given deposit​ period: Account Holder Amount Deposited Annual Interest Rate Compounding Periods Per Year​ (M) Compounding Periods​ (Years) Theodore Logan III ​$ 900 16% ​ 2 6 Vernell Coles 96,000 8 4 2 Tina Elliot 9,000 12 12 6 Wayne Robinson 120,000 10 6 5 Eunice Chung 29,000 18 3 6 Kelly Cravens 13,000 10 1 4
Calculate the amount of money that will be in each of the following accounts at the...
Calculate the amount of money that will be in each of the following accounts at the end of the given deposit​ period: Account Holder Amount Deposited Annual Interest Rate Compounding Periods Per Year (M) Compounding Periods (Years) Theodore Logan III $1,000 12% 4 10 Vernell Coles $96,000 8% 12 3 Tina Elliot $8,000 12% 6 6 Wayne Robinson $122,000 10% 1 3 Eunice Chung $31,000 12% 3 6 Kelly Cravens $16,000 10% 2 4  The amount of money in Theodore...
The following data represent the probability distribution of the holding period returns for an investment in...
The following data represent the probability distribution of the holding period returns for an investment in Lazy Rapids Kayaks (LARK) stock. State of the Economy Scenario #(s) Probability, p(s) HPR Boom 1 0.324 30.80% Normal growth 2 0.396 8.90% Recession 3 0.28 -18.00% a. What is the expected return on LARK? (Round your answer to 2 decimal places.) Expected return % b. What is the standard deviation of the returns on LARK? (Round your answer to 2 decimal places.) Standard...
The following data represent the probability distribution of the holding period returns for an investment in...
The following data represent the probability distribution of the holding period returns for an investment in Lazy Rapids Kayaks (LARK) stock. State of the Economy Scenario #(s) Probability, p(s) HPR Boom 1 0.328 30.00% Normal growth 2 0.402 9.40% Recession 3 0.27 -18.30% a. What is the expected return on LARK? (Round your answer to 2 decimal places.) Expected return               % b. What is the standard deviation of the returns on LARK? (Round your answer to 2 decimal places.) Standard deviation...
The formula for calculating the amount of money in a savings account that begins with an...
The formula for calculating the amount of money in a savings account that begins with an initial principal value (P) and earns annual interest (i) for (n) years is: P(1 + i)n Note that i is a decimal, not a percent interest rate: .1 NOT 10%              Write a python program that does the following: Prompt the user on three lines for principal, percent interest rate and number of years to invest (using descriptive prompts) Use a while loop to...
The following data represent samples that were taken on 10 separate days. Each day has a...
The following data represent samples that were taken on 10 separate days. Each day has a varying sample size and the number of defects for the items sampled is listed. We want to see if this process is consistent and in control. Day Sample Size Defects 1 110 6 2 112 3 3 195 8 4 185 6 5 245 10 6 250 7 7 100 5 8 170 7 9 250 20 10 270 25                a. Find the...
The following data represent samples that were taken on 10 separate days. Each day has a...
The following data represent samples that were taken on 10 separate days. Each day has a varying sample size and the number of defects for the items sampled is listed. We want to see if this process is consistent and in control. Day Sample Size Defects 1 100 6 2 110 4 3 190 10 4 190 7 5 240 15 6 255 8 7 105 3 8 175 6 9 245 22 10 265 27 a. Find the UCL....
2. The following data represent samples that were taken on 10 separate days. Each day has...
2. The following data represent samples that were taken on 10 separate days. Each day has a varying sample size and the number of defects for the items sampled is listed. We want to see if this process is consistent and in control. Day Sample Size Defects 1 100 6 2 110 4 3 190 10 4 190 7 5 240 15 6 255 8 7 105 3 8 175 6 9 245 22 10 265 27                 a. Find...
Calculate the amount of money that will be in each of the following accounts at the end of the given deposit period:
(Compound interest with non-annual periods) Calculate the amount of money that will be in each of the following accounts at the end of the given deposit period: Account Holder Amount Deposited Annual Interest Rate Compounding Periods per Year (M) Compounding Periods (Years) Theodore Logan TIT $ 1,000 10% 1 10 Vernell Coles 95,000 12 12 1 Tina Elliott 8,000 12 6 2 Wayne Robinson 120,000 8 4 2 Eunice Chung 30,000 10 2 4 Kelly Cravens 15,000 12 3 3
Determine the amount of money in a savings account at the end of 8 years, given...
Determine the amount of money in a savings account at the end of 8 years, given an initial deposit of $40,000 and a 4 percent annual interest rate when interest is compounded: 1. Annually    2. Semiannually    3. Quarterly ​
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT