2. Daniel wants to spend a total of $146 on his accommodation in Florence, Italy. The cost per night at his accommodation is $54. The online booking company charges a one- time fee of $38.00. a) Write an equation to represent this problem. b) How many nights would Daniel have stayed at this accommodation if he paid a total of $146? Show all your work to justify your answer. 3. Robel is unsure of how many nights he will stay in Los Angeles. a) Write an equation that will allow Robel to calculate what his total cost will be if he is charged $52 as a one-time fee and the cost per night is $94. b) What will be Robel's total cost if he decides to stay 3 nights. Show all your work to justify your answer.
2. Daniel wants to spend a total of $146 on his accommodation in Florence, Italy. The cost per night at his accommodation is $54. The online booking company charges a one- time fee of $38.00. a) Write an equation to represent this problem. b) How many nights would Daniel have stayed at this accommodation if he paid a total of $146? Show all your work to justify your answer. 3. Robel is unsure of how many nights he will stay in Los Angeles. a) Write an equation that will allow Robel to calculate what his total cost will be if he is charged $52 as a one-time fee and the cost per night is $94. b) What will be Robel's total cost if he decides to stay 3 nights. Show all your work to justify your answer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:2. Daniel wants to spend a total of $146 on his accommodation in Florence, Italy. The
cost per night at his accommodation is $54. The online booking company charges a one-
time fee of $38.00.
a) Write an equation to represent this problem.
b)
How many nights would Daniel have stayed at this accommodation if he paid a
total of $146? Show all your work to justify your answer.
3. Robel is unsure of how many nights he will stay in Los Angeles.
a) Write an equation that will allow Robel to calculate what his total cost will be if
he is charged $52 as a one-time fee and the cost per night is $94.
b) What will be Robel's total cost if he decides to stay 3 nights. Show all your work
to justify your answer.
Part III- Percentage Problems
1. You are planning to buy a $420,000 house. You can make a down payment of 20%.
How much money will your down payment be? If necessary, round to the nearest tenth.
Show all your work to justify your answer.
2. You have decided you will spend $3400 on housing every month. Your monthly
income is $6540. What percentage of your monthly income is being spent on housing? If
necessary, round to the nearest tenth. Show all your work to justify your answer.
2
Transcribed Image Text:Performance Assessment Task # 1: Mathematical Applications
This performance assessment is designed to assess the learner's ability to calculate
compound interest, write and solve equations, and apply the percent equation.
Part I: Compound Interest
After several years of saving up all your pennies you have finally reached a total amount
of $3,675 You have decided to put your money into a savings account.
After an extensive amount of research, you have the following options to choose from:
Bank 1 offers a 2.36% annual interest rate compounded quarterly.
Bank 2 offers a 2.36% annual interest rate compounded annually.
Bank 3 offers a 2.36% annual interest rate compounded semiannually.
1.Decide which bank is the best option to open a savings account for one year. Show the
total amounts for each bank to justify your answer. Round your total amounts for each
bank to the nearest cent.
2. Decide which bank is the best option to open a savings account for 12 years. Show the
total amounts for each bank to justify your answer. Round your total amounts for each
bank to the nearest cent.
3.How much more money do you have from saving $3675 in the selected bank after 12
years?
Part II: Writing & Solving Equations
1. Sofia paid a total of $365 for her accommodation in Bali, Indonesia. Sofia will be
spending 5 nights at the hotel. The cost per night is $59 US Dollars.
a) Write an equation to help Sofia figure out how much money was charged in fees.
b) Determine the amount of money charged for fees. Show all your work to justify
your answer.
1
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