Numerade

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If Jacob thinks there is overwhelming evidence for the existence of God, especially in light of what he thinks is the apparent design and fine-tuning of the universe, but John claims that the obvious existence of evil argues against the rationality of Jacob’s belief in the existence of God, then John has

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$ \begin{array}{l}\text { i. } x^{2}+14 x+49>0 \\ 2 \cdot x^{2}+20 x+16 \leq 0 \\ 3 \cdot x^{2}-8 x+16 \leq 0 \\ 1 \cdot x^{2}-10 x+29>0 \\ 5 \cdot x^{2}-x-20 \geq 0\end{array} $

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3. The capacitance of two parallel conductors of length $L$ and radius $r$, separated by a distance $d$ in air, is given by $C = \frac{\pi \epsilon L}{ln[(d - r)/r]}$ , where $\epsilon$ is the permittivity of air ($\epsilon = 8.854 \times 10^{-12}$ F/m) Write a script file that accepts user input for $d$, $L$, and $r$ and create a table that computes and displays $C$. Test the file with the values $L = 1$ m, $r = 0.001$ m, and $d =$ 0.003 to 0.01 m (use linspace to create 6 values). d (m) C(F) X 10^11 0.0030 4.0130 0.0044 2.2729 0.0058 1.7733 0.0072 1.5245 0.0086 1.3715 0.0100 1.2659

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Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.\\ $\lim_{x \to \infty} x \sin(3\pi/x)$

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you purchased a municipal bond with $10,000 face value for $9,500. You purchased it immediately after the previous owner received a semiannual interest payments

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Approximately what percentage of health care expenditures in the United States is made for public health services? Question 19 options: 1% 5% 10% 15% 20%

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Producer surplus (rounded to the nearest dollar) = dollars Submit Answer 4. [-/1 Points] DETAILS MY NOTES Math 110 Course Resources - Applications of Definite Integrals Course Packet on consumer, producer and total surplus The demand and supply functions for Penn State football jerseys are: p = d(x) = \text{-}x^2 - 22x + 202 p = s(x) = 5x^2 + 2x + 10 where x is the number of hundreds of jerseys and p is the price in dollars. (a) Find the equilibrium quantity. Equilibrium quantity, x = which corresponds to jerseys. (b) Compute the total surplus at the equilibrium point. Total surplus = dollars Submit Answer 5. [0.5/1 Points] DETAILS PREVIOUS ANSWERS MY NOTES Determine whether each statement is true or false. You have one submission for each statement. (a) If p denotes the equilibrium price, then the consumer surplus at any price higher than p must be less than or equal to the consumer

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Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the given value of $n$. Round your answer to four decimal places and compare the results with the exact value of the definite integral.\\ $\int_0^5 x\sqrt{x^2+6} dx$, $n=4$

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Question 19 Solve the problem. Khang borrows $2500 at a rate of 11% compounded quarterly. Find how much Khang owes at the end of 3 years. Use: $A = P(1 + \frac{r}{n})^{nt}$ where: A = final amount P = $2500 (the amount borrowed) r = 11% = 0.11 (the annual rate of interest) n = 4 (the number of times interest is compounded each year) t = 3 (the duration of the loan in years) $3808.16 $3461.96 $30,825.00 $2711.97 5 pts

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Suppose the U.S. - a large open economy - runs a large budget surplus. i) Using the loanable funds model, indicate what happens to the U.S. real interest rate. (30%) ii) Using the model of the foreign exchange market, and your answer in i), explain how the budget surplus can lead to a current account surplus.

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victoria t.