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📘 finance

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Exchange Rates
1. **Stating the problem:** Bill changes 450 pounds and gets 711 dollars. Gwyll changes 500 pounds and gets 820 dollars.
Wages Interest
1. Let's understand the problem: We want to explore how wages and interest relate, typically in the context of economics or finance. 2. A common formula involving wages and interes
Currency Equivalence
1. The user states an equivalence between currencies: £1 = $. 2. This is a currency conversion statement, not a math problem involving algebra or equations.
Present Value Compound
1. **Problem 1:** Find the present value of 80000 due in 2 years at 12% interest compounded quarterly. 2. The formula for present value with compound interest is:
Simple Interest
1. **Identify the principal amount.** The principal is the initial amount borrowed or invested.
Compound Interest
1. **Problem 1:** Determine the minimum principal to accumulate 200,000 in 4 years at 10% compounded semi-annually. 2. **Formula:** Compound interest formula for future value:
Continuous Income Interest
1. **Problem statement:** We are given a continuous income stream with rate of flow $f(t) = 900 e^{-0.02 t}$, an interest rate of 7% compounded continuously, and a time period of 3
Compound Interest
1. **State the problem:** Cohen took a loan with compound interest. At the end of 2004, the amount owed was 637.88. At the end of 2009, the amount owed was 863.75. We need to find
Loan Compound
1. **State the problem:** We have a loan of 34000 with an annual interest rate of 4.25% compounded annually. We want to find the smallest whole number of years $t$ such that the am
Compound Interest
1. **State the problem:** Calculate the interest earned when 400 is invested at 5% per annum compound interest for 3 years. 2. **Formula used:** Compound interest is calculated usi
Net Pay
1. **State the problem:** Calculate Maru's net pay every payday given a weekly salary of 10000, mandatory contributions of 500, and non-taxable benefits of 1000. 2. **Understand th
Explanation Amount
1. Let's understand the problem: You want to know why the correct answer is P8,761.48. 2. This amount likely comes from a financial calculation such as compound interest, loan paym
Interest Half Payment
1. **Problem Statement:** A loan of 10000 is amortized by equal annual payments for 30 years at an effective annual interest rate of 9%. We need to find the year in which the inter
Annuity Payment
1. **State the problem:** We are given the present value (PV) of an annuity, the number of periods (n), and the interest rate per period (i). We need to find the payment amount (PM
T Bill Purchase Price
1. **State the problem:** We need to find the purchase price of a 50-day T-bill with a maturity value of 1367, an annual interest rate of 3.667%, assuming a 360-day year. 2. **Form
T Bill Purchase
1. **State the problem:** We need to find the purchase price of a 50-day T-bill with a maturity value of 2047 and an annual interest rate of 4.192%, assuming a 360-day year. 2. **F
Simple Interest
1. The problem is to understand and calculate simple interest. 2. The formula for simple interest is:
Simple Interest Time
1. **State the problem:** We want to find the time $t$ in years for a principal amount $P=157500$ to grow to a total amount $A=457000$ with a simple interest rate $r=10.5\%$ per an
Investment Present Value
1. **Problem Statement:** You want to have 2.5 million after 5 years by investing a one-time amount now in a money market account with an annual interest rate of 5.8%. We need to f
Interest Earned
1. **Problem Statement:** Calculate the interest earned on an initial deposit of 30000 with an annual interest rate of 1.25%, after 91 days, considering an 80% tax on the interest.
Interest Earned
1. **State the problem:** Calculate the interest earned on an initial deposit of 30000 with an annual interest rate of 1.25% over 91 days, considering a 20% tax on the interest. Th