Question 1: Calculate the amount of a $1,000 investment after 1 day at an annual interest rate of 12%, compounded daily. Use the formula: A = P(1 + r/n)^(nt).

Answer: A = 1000 * (1 + 0.12/365)^(365*1) ≈ 1000 * (1 + 0.00032877)^365 ≈ 1000 * 1.0392 ≈ 1039.20

Question 2: A bank offers a daily interest rate of 0.03%. How much money will be in a $500 account after 7 days?

Answer: A = 500 * (1 + 0.0003)^7 ≈ 500 * 1.0021 ≈ 501.05

Question 3: If an investment grows to $1,200 in 10 days at a daily compound interest rate, what is the daily rate? Round to four decimal places.

Answer: r = ( (1200/ P)^(1/10) ) - 1, where P=principal. For example, if principal is $1000: r = (1.2)^(1/10) - 1 ≈ 0.0181 or 1.81%

Question 4: An amount of $2,000 is invested at a daily interest rate of 0.02%. How much will it grow to in 3 days?

Answer: A=2000*(1+0.0002)^3 ≈ 2000*1.0006 ≈ 2001.20

Question 5: A student invests $1500 at a daily interest rate of 0.025%. How much interest is earned in 4 days?

Answer: Interest = Final amount - principal = 1500*(1+0.00025)^4 - 1500 ≈ 1500*1.0010 - 1500 ≈ $1.50

Question 6: A car loan of $10,000 accrues daily interest at 0.036%. What will be the total amount after 15 days?

Answer: A=10000*(1+0.00036)^15 ≈ 10000*1.0054 ≈ 10054.00

Question 7: A deposit of $800 earns daily compound interest of 0.04%. What will be the balance after 5 days?

Answer: A=800*(1+0.0004)^5 ≈ 800*1.0020 ≈ 801.60

Question 8: A company invests $5,000 at a daily interest rate of 0.05%. What is the approximate amount after 20 days?

Answer: A=5000*(1+0.0005)^20 ≈ 5000*1.0101 ≈ 5050.50

Question 9: Construct a graph on the grid: Plot the function y=2x for x from 0 to 10.

Answer: Students plot points (0,0), (1,2), (2,4), ..., (10,20).

Question 10: Construct a triangle with sides 3 cm, 4 cm, and 5 cm on the grid to verify the Pythagorean theorem.

Answer: Students draw the triangle, confirming 3^2 + 4^2 = 5^2 (9+16=25).

Question 11: A common mistake is to forget to convert the annual interest rate to daily by dividing by 365. Identify and correct this error in a given example.

Answer: Correct the mistake: Divide the annual rate by 365 for daily rate, not use the full annual rate.