Chapter 3: Problem 12
A) NO CHANGE B) disappeared from both C) disappeared both D) from both disappeared
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Syed took out a cash advance of \(d\) dollars from a financing company. The company deducts a fee of \(\frac{1}{3}\) of the original advanced amount along with a wire transfer fee of $$\$ 30.00$$. Which of the following represents the final advanced amount that Syed receives after all applied fees, in dollars? A) $$\frac{1}{3} d-30$$ B) $$\frac{1}{3}(d-30)$$ C) $$\frac{2}{3}(d-30)$$ D) $$\frac{2}{3} d-30$$
Students in a physics class are studying how the angle at which a projectile is launched on level ground affects the projectile's hang time and horizontal range. Hang time can be calculated using the formula \(t=\frac{2 v \cdot \sin (\theta)}{g}\), where \(t\) is the hang time in seconds, \(v\) is the initial launch velocity, \(\theta\) is the projectile angle with respect to level ground, and \(g\) is the acceleration due to gravity, defined as \(9.8 \mathrm{~m} / \mathrm{s}^2\). Horizontal range can be calculated using the formula \(R=\frac{v^2 \sin (2 \theta)}{g}\), where \(R\) is the distance the projectile travels from the launch site, in feet. Which of the following gives the value of \(v\), in terms of \(R, t\), and \(\theta\) ? A) \(v=\frac{t \sin (\theta)}{2 R \sin (\theta)}\) B) \(v=\frac{2 t \sin (\theta)}{R \sin (\theta)}\) C) \(v=\frac{2 R \sin (\theta)}{t \sin (2 \theta)}\) D) \(v=\frac{2 R \sin (2 \theta)}{t \sin (\theta)}\)
The population, \(P\), of Town \(Y\) since 1995 can be estimated by the equation \(P=1.0635 x+3,250\), where \(x\) is the number of years since 1995 and \(0 \leq x \leq 20\). In the context of this equation, what does the number \(1.0635\) most likely represent? A) The estimated population of town \(Y\) in 1995 B) The estimated population of town \(Y\) in 2015 C) The factor by which the population of town \(Y\) increased yearly D) The factor by which the population of town \(Y\) decreased yearly
The table above shows the relative investment in alternative energy sources in the United States by type. One column shows the relative investment in 2007 of $$\$75$$ million total invested in alternative energy. The other column shows the projected relative investment in 2017 given current trends. The total projected investment in alternative energy in 2017 is $$\$ 254$$ million. Suppose that a new source of alternative energy, Cold Fusion, is perfected. It is projected that by 2017 that $$\$ 57$$ million will be invested in Cold Fusion in the United States, without any corresponding reduction in investment for any other form of alternative energy. What portion of the total investment of alternative energy in the United States will be spent on biofuels? A) \(0.18\) B) \(0.22\) C) \(0.28\)
Dogs need \(8.5\) to 17 ounces of water each day for every 10 pounds of their weight. Everett has two dogs - Ringo is a 35-pound black lab mix, and Elvis is a 55-pound beagle. Which of the following ranges represents the approximate total number of ounces of water, \(w\), that Elvis and Ringo need in a week? A) \(77 \leq w \leq 153\) B) \(109 \leq w \leq 218\) C) \(536 \leq w \leq 1,071\) D) \(765 \leq w \leq 1,530\)
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