# Tutor profile: April H.

## Questions

### Subject: Finance

You are a member of an investment club. The club currently has a portfolio of two stocks. The stock portfolio consists of the following: Investment Beta $25,000 .8 $30,000 1.2 Total investment = $55,000 Calculate the portfolio's beta?

Beta gives an indication of how volatile an investment is in relation to the market. To find the portfolio's beta, complete the following steps: Step 1: Take the weighted average of the investments.Now, you'll take the weighted average Weighted Average - Portfolio = ($$ \frac{$25,000}{$55,000} $$)*(0.8) + ($$ \frac{$30,000}{$55,000} $$)*(1.3) Weighted Average - Portfolio = (0.3636) + (0.7091) Portfolio beta = 1.07

### Subject: Accounting

Anderson Co. had the following results for 20xx. Using the financial information provided, calculate Anderson Co.' s (a) current ratio and (b) debt-to-equity ratio. Current assets, $17,446 Non-current assets, $456,243 Current liabilities, $11,514 Bonds payable, $220,000 Common stock, $90,000 Retained earnings, $152,175

(a) Current ratio = Current assets/Current liabilities =$$ \frac{$17,446}{$11,514} $$ =1.52 (b) Debt-to-equity = Total liabilities/Total owner's equity = $$ \frac{$11,514 + $220,000}{$90,000 + $152,175} $$ = $$ \frac{$237,446}{$242,175} $$ =.98

### Subject: Algebra

Factor the trinomial: 3x^{2} + 9x + 21

First, note that this is a trinomial, meaning it contains three terms with the following coefficients and constant: a = 3, b = 9, c = 21 Step 1: Find the GCF, or greatest common factor. The GCF of a, b, and c is 3. See the factors below: The factors of 3 are +/-1 and +/-3. The factors of 9 are +/-1, +/-3, +/-9. The factors of 21 are +/-1, +/-3, +/-7, +/-21. Step 2: Now, that we've identified our greatest common factor, let's simplify the expression. Since 3 is the greatest common factor, we will factor a "3" out of our a, b, and c, or 3, 9, and 21. 3(x^{2} + 3x + 7) Step 3: Now, we have two expressions. Since 3 is a constant and a monomial, it cannot be simplified any further. Let's check the trinomial x^{2} + 3x + 7. Begin with step 1, finding the GCF. The greatest common factor is "1," thus, the expression is in its simplist form. The final answer is 3(x^{2} + 3x + 7).

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