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Questions in Grade College

[Done] Solve the inequality for $t$. $3(4-2 t) \geq 15$

[Done] Select the correct answer. Which layer of Earth is the densest and why is that so? A. The outer core is densest due to gravitational compression. B. The outer core is densest due to generation of radiogenic heat. C. The outer core is densest due to accretion. D. The inner core is densest due to gravitational compression. E. The inner core is densest due to generation of radiogenic heat.

[Done] $243^{-y}=\left(\frac{1}{243}\right)^{3 y} \cdot 9^{-2 y}$ Solve: y=-1 y=0 y=1 no solution

[Done] For what value of [tex]$x$[/tex] does [tex]$3^{2 x}=9^{3 x-4} ?$[/tex] 1 2 3 4

[Done] Solve: $-\frac{d}{48}=-\frac{11}{4}$

[Done] Mustafa's soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit? $5n - 300 = 1,500$ $5n + 300 = 1,500$ $5n - 200 + 100n = 1,500$ $5n - 100 - 200n = 1,500

[Done] Read the sentence. "Their already late, and time's running out." In which sentence is correct spelling used? A. Their already late, and times running out. B. There already late, and times running out. C. There already late, and time's running out. D. They're already late, and time's running out.

[Done] Simplify each expression, using exact forms a) [tex]$\sqrt{6 y}-13 \sqrt{6 y}+3 \sqrt{6 y}=[/tex] $\square$ b) [tex]$12 \sqrt[3]{11 b n}+18 \sqrt[3]{11 b n}-13 \sqrt[3]{11 b n}=[/tex] $\square$ NOTE: To input [tex]$a \sqrt{b}$[/tex], type "a sqrt(b)". To input [tex]$\alpha \sqrt[3]{c}$[/tex], type "a root(b)(c)".

[Done] The following table shows a portion of a five-year amortization schedule. | 5 Year Amortization Schedule | Loan Amount or Principal | $10,900.00 | | Interest Rate on Loan | 10.95% | | Extra Payment to Principal | $0.00 | | Month | Payment | Principal | Interest | Balance | |---|---|---|---|---| | 15 | $236.72 | $155.87 | $80.85 | $8,704.27 | | 16 | $236.72 | $157.29 | $79.43 | $8,546.98 | | 17 | $236.72 | $158.73 | $77.99 | $8,388.25 | | 18 | $236.72 | $160.18 | $76.54 | $8,228.07 | | 19 | $236.72 | $161.64 | $75.08 | $8,066.43 | | 20 | $236.72 | $163.11 | $73.61 | $7,903.32 | What percent of the payments made were due to interest for the months shown? A. 30.9% B. 32.6% C. 62.5% D. 63.4%

[Done] What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point $(4,1)$? A. $y-1=-2(x-4)$ B. $y-1=-\frac{1}{2}(x-4)$ C. $y-1=\frac{1}{2}(x-4)$ D. $y-1=2(x-4)$