ath Solver

1. Angela invests $12000 at a bank with 6% interest compounded quarterly. Betty invests $ 10000 at a bank with 8% interest compounded continuously. Who has more money at the end of the fifth year and to the nearest dollar how much more so they have?
2. The housing prices in park town are increasing by 8% each year. At the beginning of this year, the average house costs $275000.how long before the average house is twice as expensive as the current cost?
3. Link found a treasure chest and measured it's volume to find out how many rupees will fit inside. The volume is 3x^3- x^2-12x+4 and link Needs to know the dimensions. Factor the polynomial to fins the length, width and depth of the treasure chest.
4. Determine the horizontal and vertical asymptote of y= 3/x-2 +5
5. Solve the equation 4/x+3 + 2/x-1 = 3/x^2 + 2x -3

Let's tackle each problem one by one:

### Problem 1
**Angela and Betty's Investments**

- **Angela's Investment:**
  - Principal ($ P $): $12,000
  - Interest Rate ($ r $): 6% (0.06)
  - Compounded Quarterly ($ n $): 4 times per year
  - Time ($ t $): 5 years

  The formula for compound interest is:
  \[
  A = P \left(1 + \frac{r}{n}\right)^{nt}
  \]

  Substituting the given values:
  \[
  A_A = 12000 \left(1 + \frac{0.06}{4}\right)^{4 \times 5}
  \]
  \[
  A_A = 120

Explore solutions to multiple math problems involving compound interest, housing price growth, polynomial factoring, and rational functions. Detailed step-by-step explanations and formulas provided. Suitable for 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