📘 finance
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Profit Or Loss
1. To determine if it was a profit or loss, we need to know the purchase price and the selling price of the stock.
2. Calculate the difference: $\text{Difference} = \text{Selling P
Stock Sale Commission
1. **State the problem:** You have 200 shares of stock and you sell all at P550 per share. The broker charges a 2.1% commission. Find the amount you receive after paying the commis
Stock Total Cost
1. Let's state the problem: You want to buy 200 shares at P500 each with a 2.1% commission charged by the broker.
2. Calculate the cost of the shares without commission:
Compound Time
1. **State the problem:**
You want to find the time $t$ it takes for an investment of P1200 to grow to P1728 at an annual interest rate of 20% compounded annually.
Compound Interest
1. We are given that $P=25000$, the annual interest rate $r=0.08$, compounded quarterly (4 times per year), for $t=5$ years.
2. The formula for compound interest is $$A = P\left(1
Simple Interest
1. The problem is to calculate the interest earned on an investment of 1000000 at an interest rate of 10% per annum for a duration of six months.
2. First, convert the annual inter
Excess Meaning
1. The phrase "in excess K12,000" means an amount greater than 12,000 units of currency called K.
2. "In excess" is a way of saying "more than" or "over" a certain number.
Compound Interest
1. **Problem:** James invested 150000 at 2.5% interest compounded semi-annually. Find the maturity value after (a) 4 years, (b) 8 years, and (c) find the additional interest earned
Chai Interest
1. प्रश्न 1: दूसरे वर्ष 12% वार्षिक दर पर चक्रवृद्धि ब्याज के साथ राशि ज्ञात करना।
चक्रवृद्धि ब्याज की गणना सूत्र है: $$A = P\left(1 + \frac{r}{100}\right)^n$$
Compound Interest
1. The problem is to understand and calculate compound interest.
2. Compound interest is the interest calculated on the initial principal, which also includes all the accumulated i
Price Before Vat
1. The problem states that the price of a brand-new car including VAT is 379600. We need to find the price before VAT (VAT exclusive amount).
2. Let the VAT rate be 15% (a common V
Monthly Uif
1. The problem requires calculating Seleponale's monthly UIF contribution from his gross income of 4278.
2. UIF (Unemployment Insurance Fund) contributions are typically calculated
Simple Interest
1. State the problem: Meron invested 6000 at a yearly simple interest rate of 3%, earning 450 in interest. We want to find how long (in years) the money was invested.
2. Recall the
Simple Interest
1. The problem asks to find the total interest paid on a loan of 6075 at an interest rate of 10% over 6 years.
2. We assume simple interest since not stated otherwise. Simple inter
Principal Calculation
1. **State the problem:** We need to find the principal amount $P$ that must be invested to earn $314.10$ in interest in 5 years at an interest rate of 9% per year.
2. **Identify t
Loan Balance
1. **Problem Statement:** Cindy borrows money and repays with monthly payments of 889 at the beginning of every month. Interest rate is 9.902% per year, compounded monthly, and loa
Investment Value
1. **Stating the problem:** We want to find the amount in the account immediately before the 6th year's investment, with R5601 invested every 2 months, at an annual interest rate o
Amortization Table
1. The problem is to create a full amortization table, which shows payments, interest, principal, and remaining balance over time.
2. Typically, an amortization table is based on l
Deferred Annuity Pv
1. **Stating the problem:** Calculate the present value of a deferred annuity of ₱1500 every 3 months for 8 years, deferred by 3 years, with an interest rate of 6% compounded quart
Delayed Perpetuity
1. Let's explain the problem: You have a series of payments (a perpetuity) that start not immediately, but after some delay—in this case, the first payment is two years from today.
Roi Shoplot
1. **State the problem:**
Encik Faizal bought a shop lot for 650000 with a 10% down payment, incurred total expenditure of 45000, rented it for 2300 monthly, and sold it after 4 ye