📘 finance
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Home Loan
1. **Problem statement:** You want to buy a 218000 home, pay 10% down, and take a 30-year loan for the rest.
2. **Calculate loan amount:** Down payment is 10% of 218000: $$ 0.10 \t
Home Loan Payments
1. **Stating the problem:** You want to buy a $218,000 home, pay 10% down, and take out a 30-year loan for the rest. We are asked to find:
a) The loan amount.
Simple Interest
1. Problem 1: Finding the Rate
Given: Principal $P=1000$, Time $T=3$ years, Simple Interest $SI=180$
Salary Analysis
1. The problem involves determining information related to the salary amount given as 5400.
2. Since only the salary value is provided without any further question, we can interpre
Cash Vs Installments
1. **Stating the problem:**
You have two payment options for a phone:
Compound Interest
1. **Problem statement:** Layla deposited 15000 in an account that compounds semiannually at an interest rate of 6% for 2 years. Find the final amount after 2 years.
2. **Identify
Compound Interest
1. Stated problem: Ms. Cruz deposited 30000 in a savings account with an interest rate of 6% compounded quarterly for 2 years. We need to find the compound amount.
2. Formula for c
Financial Plan
1. **Problem Statement:** Advise a start-up entrepreneur on 1) choosing between two loan options using interest calculations, 2) recommending stock or bond investments with expecte
Payment Comparison
1. **Problem statement:** Compare two payment options for a loan of 120000 with different payment schedules and interest calculations.
2. **Option A:** Pay 5000 at the end of every
Financial Planning
1. **Stating the Problem:**
You need to create a financial plan for a start-up business, including loan comparison, investment recommendations, and savings or annuity planning.
Deposit Calculation
1. **Stating the problem:** Cheryl wants to withdraw 34033 after 6 months from a bank account.
The interest rate is 2.37% per annum and a tax at source of 30% applies to the earned
Simple Financial Plan
1. **Stating the problem:** We need to create a simple financial plan for a start-up business involving a loan decision, investment recommendation, and a savings or annuity plan.
2
Investasi Bunga Tunggal
1. Masalah ini berkaitan dengan investasi modal Rp20000000 dengan bunga sederhana 10% per tahun.
2. Hitung jumlah uang setelah 1 tahun dengan rumus bunga sederhana: $$A = P + (P \t
Compound Continuous
1. المشكلة: إيجاد الفائدة المركبة المتصلة لودائع هند وجواهر بمعدلات سنوية مختلفة.
2. تعريف الفائدة المركبة المتصلة: الفائدة تزداد بصفة مستمرة وتُحسب باستخدام الصيغة:
Deferred Annuity
1. **Problem 1:** A loan is repaid quarterly for 5 years starting at the end of 2 years, with a quarterly payment of 10,000 and an interest rate of 6% compounded quarterly. Find th
Compound Interest
1. **مشكلة:** لدينا استثماران من جواهر وهند بمبلغين و معدلات فائدة مركبة سنوية مختلفة.
2. صيغة الفائدة المركبة السنوية هي $$A = P e^{rt}$$ حيث:
Installment Plan
1. **State the problem:** Calculate the total cost using instalment plan and compare with after-tax cash price for furniture, then analyze the cost and payments for a used car.
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Npv Irr Projects
1. **State the Problem:** Linda needs to select two projects out of four (PROJECT JAN, FEB, MAR, APR) to invest €200,000,000 each, over 3 years, at a cost of capital 11.5%. We will
Compound Interest
**Problem:** Afifah saved 12000 at 3% annual interest compounded half yearly. Find the total amount at the end of the year.
1. Identify the known values:
Annuity Values
1. **Problem 1: Future Value of an Ordinary Annuity (Simple Annuity)**
Maria deposits 5,000 every month for 5 years at 6% annual interest compounded monthly. We need to find the fu
Compound Interest
1. **State the problem:** Mr. Babar invests 150000 for 8 years at an interest rate of 6.5% compounded semi-annually. We need to find the total gain at the end of 8 years.
2. **Iden