Topic
Q:
You want to take out a \( \$ 299,000 \) mortgage (home loan). The interest rate on the loan is \( 5.4 \% \), and the loan
is for 30 years. Your monthly payments are \( \$ 1,678.98 \).
How much will still be owed after making payments for 5 years? \( \$ \)
How much will still be owed after making payments for 10 years?
How much will still be owed after making payments for 15 years?
Round your answers to the nearest dollar.
Q:
Evaluate the integral
by making the appropriate substitution: \( u=\square \frac{d x}{(2 x+2)^{4}} \),
\( \int \frac{d x}{(2 x+2)^{4}}=\square \)
Q:
L'uraninite, ou pechblende, est un minéral de formule
chimique \( \mathrm{UO}_{2} \). Les gisements d'uraninite sont datés
uniquement entre 3,5 et 2,2 milliards d'années. Its
sont utilisés notamment pour extraire l'uranium uti-
lisé dans l'industrie nucléaire civile et militaire. Ces
gisements se forment dans des milieux réducteurs,
c'est-à-dire en absence de dioxygène.
Question
Expliquer en quoi l'uraninite est un indice de
l'évolution de la teneur en dioxygène terrestre.
Q:
Evaluate the indefinite integral.
\( \int \frac{5}{(t+3)^{2}} d t \)
\( \square+C \)
Q:
Given two sequences \( \left\{a_{n}\right\} \) and \( \left\{b_{n}\right\} \) :
\[ \begin{aligned} a_{n} & =\frac{2 n}{n+1} \\ b_{n} & =\frac{1}{n^{2}}\end{aligned} \]
Q:
Add the polynomials: (x^4 + 3x^3 - x) + (2x^4 - 5x^3 + 4).
Q:
i) \( \frac{\tan \theta \cot \theta}{\sec \theta} \) equals:
A \( \sin \theta \)
Q:
2. Ane ang pagkakaiba ng piracy at theft? 3. Ano ang ibig sabihin ng plagiarism? Magbigay ng halimbawa. 4. Bakit kailangan malaman ang mga isvung tungkol sa paglabag sa katotohanan?
Q:
Find the slope and the \( y \)-intercept of the graph of the equation.
\[ 8 x+9 y=36 \]
slope
\( y \)-intercept \( \quad(x, y)=(\square) \)
Q:
Evaluate the indefinite integral.
\( \int x^{2} \sqrt{15+x^{3}} d x \)
\( \square+C \)
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