📘 finance mathematics
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Education Insurance E7D9Ee
1. **Problem Statement:** Suzana has two options for her education fund of 26,442. Option 1: Invest 26,442 at 4.25% interest compounded monthly and withdraw equal monthly payments
Annuity Value F3D53D
1. **Stating the problem:**
We want to evaluate the expression
Mary Account E6E4Bf
1. **Problem statement:**
(c) Write an expression for $A_n$ in terms of $x$ on the day before Mary turned 18, showing clearly the value of $n$.
Value Fluctuation 1C2C91
1. **Problem statement:**
We have an initial value of apartments and land equal at the end of construction, each 4,000,000.
Interest Problems
1. Problem: Erik invests 8000 for n years in a savings account.
(a) Write down the annual rate of interest Erik earns.
Annuity Payments
1. **State the problem:** Calculate the periodic payments for different types of annuities given the amount, interest rate, compounding period, term, and payment interval.
2. **For
Annuity Payments
1. **Problem Statement:**
Find the periodic payment $R$ for each annuity given the amount, interest rate, compounding period, term, and payment interval.
Annuity Payments
1. **Problem Statement:** Find the periodic payment of each annuity payable at the end of each period given the annuity details.
2. **Formula for Annuity Payment:**
Currency Conversion
1. Let's start by defining the concept: Currency conversion is the process of exchanging one country's currency for another's.
2. It involves using an exchange rate, which is the v
Compound Interest
1. The problem asks for the principal amount deposited in a savings account with 4.5% annual interest compounded monthly to reach 10,000 after 8 years.
2. Use the compound interest
Simple Interest
1. Stating the problem:
Robert deposits 30000 at an interest rate of 8% per annum in State Bank of India. We need to find the amount he gets after 1 year, 2 years, and 3 years.
Compound Interest
1. **State the problem:**
Joseph takes a loan of £7500 that compounds annually. After 1 year, it is £7965, and after 2 years, £8458.83. We need to find the annual interest rate and
Interest Problems
1. Problem: Find the sales tax rate given the cost of the laptop and the sales tax amount.
Step 1: Let the sales tax rate be $r$.
Simple Interest
1. **Problem 4:** Calculate the simple interest Maria pays after 1 year.
Simple interest formula is $$I = P imes r imes t$$ where:
Car Loan Payment
1. The problem is to find the monthly payment for a $29000 car loan with annual interest rate 3.4%, compounded monthly, over 6 years (72 months).
2. First, convert the annual inter
Compound Interest
1. **State the problem:** Layla deposited 15000 in an account that compounds semiannually at an annual interest rate of 6% for 2 years. We need to find the amount in the account af
Compound Interest Annuities
1. **Problem:** Mr. Salinas saves 3000 per month, interest rate 9% compounded monthly, for 6 months. Find the future value.
2. **Solution:** Use the future value of an ordinary ann
Compound Interest Rate
1. We are given that Rhianna wants to invest ₱50,000 to accumulate to ₱65,000 in 4 years with interest compounded semiannually.
2. The formula for compound interest is $$A = P\left
Annuity Withdrawals
1. Problem statement: We have an ordinary annuity with a 7.92% annual interest rate compounded monthly.
(A) A person deposits $100 monthly for 30 years and then makes equal monthly