Vijay owns a house worth $250,000 with a mortgage of $150,000. He has $3,000 in stock investments and $1,700 in a checking accou

Let's calculate the missing sides first. For the large triangle, we can utilize the Pythagorean theorem, which is a^2 + b^2 = c^2. Here, a^2 is 13^2 - 5^2, which results in 169 - 25 = 144. Therefore, the square root of a is equal to the square root of 144, which gives us a = 12.
For the smaller triangle, we compute 5^2 - 3^2 = b^2, yielding 25 - 16 = 9, so b = 4. The length of the Elm Trail totals 13 km + 5 km, making it 18 km, while the Dogwood Trail calculates to 12 + 5 + 4 + 3 = 24 km.
Thus, the correct selections are 2 and 5.

Step-by-step explanation: The entertainment company’s net value after t months can be expressed by the equation; v(t) = 4t² - 24t - 28. To factor this expression, we need to simplify the equation: v(t) = 4t² - 24t - 28, dividing everything by 4 yields: v(t) = t² - 6t - 7, v(t) = t² - 7t + t - 7, v(t) = t(t-7) + 1(t-7), v(t) = (t+1)(t-7). Thus, the function in factored form is v(t) = (t+1)(t-7). To find when the company hits its lowest value, substitute v(t) = 0 into the factored expression: v(t) = (t+1)(t-7). Setting equal to zero provides: (t+1)(t-7) = 0, leading to t + 1 = 0 and t - 7 = 0; thus, t = -1 and t = 7. Since time cannot be negative, therefore, t equals 7 months. This indicates that after 7 months, the company will reach its minimal net value.

The answer is Option D: Line G H.

Step-by-step explanation:

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