2. Naomi has saved up $2,500 while working part-time. She wants to put it away in a savtngs account for college. She has two options: Option 1: Savings Account that compounds quarterly at a rate of 5.5% Option 2: Savings Account that compounds continuously at a rate of 5% Formulas: A = P (1+)* A = Pe"t (a) Find how much money Naomi would have in her account after 4 year if she chose Option 1 (b) Find how much money Naomi would have în her account after 4 year if she chose Option 2. (c) Which option is better for Naomi? Why?

Q: 5. An electric car is listed at $60,000 and depreciates by 47% per year. (a) Find its value after 4…

A: Given: An electric car is listed at $60000 and depreciates by 47% per year.

Q: Serenity is going to invest $130 and leave it in an account for 19 years. Assuming the interest is…

A: Just use the formula for the compound interest and simplify.

Q: b. Mr. Jasim is planning to buy a house. He wants to invest 309 R.O now and hopes to have double…

A:

Q: 2. Jade invested money in an account that paid interest of 8% per year, compounded semi-annually,…

A:

Q: You invest in an account paying 10% compounded monthly. How long will it take for you to double your…

A:

Q: tamika borrowed $8000 at 11% compounded continuously. finf the time required for the amount for the…

A: Given,Tamika borrowed $8000 at 11% compounded continuously.i.e., P=8000, r=11%=0.11

Q: How many years will it take for a sum of money to double itself at 7% compound monthly?

A:

Q: Christian is going to invest $9,400 and leave it in an account for 18 years. Assuming the interest…

A:

Q: Find the present value of 1000 due at the end of 10 years if i(4) = 9% and d6 = 9%

A: Given: i(4)=9% d6=9%

Q: Q6. SR2, 800 is needed for a purchase. The buyer has SR2, 500 and will invest the money at 9% annual…

A:

Q: 4. How long will it take for an investment with an annual rate of 2.85% compounded quarterly to…

A:

Q: Hannah wants to have $ 7500 to help pay for a new deck in 10 years. If she wants to put her money…

A: Given Future value =7500 r= 0.085 t=10 years

Q: ers to th

A: In this question, the concept of Continuously compounding is applied. Continuously Compounding…

Q: 2 Adam invests 50000 NIS (New Israeli Sheqel) in a bank that pays 3.2% nominal annual interest…

A:

Q: D=7 3. a. Salma has an investment account which give simple interest with rate (D+2)%. How many…

A: We will find out the required time period.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.