https://file.aiquickdraw.com/mathbot/file/1726670075492j2xuq4zb.jpg

Let's work through these three questions step-by-step:

### Question 11: Land Value Appreciation
The land's value increases by 7% annually, and in 2010, it was valued at RM 20,000. You are asked to estimate its value in 2020, which is 10 years later.

To calculate the value after 10 years of appreciation, use the formula for compound growth:
\[
V = P \times (1 + r)^t
\]
Where:
- \(V\) is the future value,
- \(P = 20,000\) (initial value),
- \(r = 0.07\) (annual rate of increase),
- \(t = 10\) (number of years).

Now let's calculate this.

### Question 12: Vehicle Depreciation
The car's value is RM 45,000 when new, and it depreciates by 10% annually. You need to find the value after 5 years.

For depreciation, use the same formula but with a decrease:
\[
V = P \times (1 - r)^t
\]
Where:
- \(P = 45,000\),
- \(r = 0.10\),
- \(t = 5\).

I will calculate this too.

### Question 13: Compound Interest
A man invests RM 100 each year for 12 years in an account that pays 7% annual compound interest. You are asked to calculate the total value of his investments at the end of 12 years.

This is a case of a series of investments (an annuity) with compound interest. The formula to use is:
\[
A = P \times \frac{(1 + r)^t - 1}{r}
\]
Where:
- \(P = 100\) (annual investment),
- \(r = 0.07\) (interest rate),
- \(t = 12\) (years).

Let's compute all three.

1. The value of a land in a certain suburban area has increased by 7% each year. In the year 2010, the land was valued at RM 20,000. Estimate the value of the land in the year 2020. 2. The value of a certain type of vehicle when it is new is RM 45,000 and it depreciates 10% each year. Find the value of this vehicle when it is five years old. 3. At the beginning of each year, a man invests RM 100 in a finance institution that pays 7% per annum compound interest. Calculate the total value of the investments at the end of his 12th investment.

Learn how to solve problems related to land value appreciation, vehicle depreciation, and compound interest on investments with step-by-step solutions. These problems cover key financial mathematics concepts including compound growth, percentage changes, and annuities. Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation