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55 • CONCEPTUAL You walk 100 m in a straight line on a horizontal plane. If this walk took you 50 m east, what are your possible north or south movements? What are the possible angles that your walk made with respect to due east?
Assume that \( \overline{\mathrm{SD}} \) is the altitude to the hypotenuse \( \overline{\mathrm{UT}} \) of right \( \triangle \mathrm{UST} \). 7. If \( \mathrm{b}=7 \) and \( \mathrm{a}=28 \), find \( t, h, u \).
A1-2. Suppose the country of Movietopia's consumers have the following consumption bundles (baskets) over two years. The price of streams decreased by 5% and the price of popcorn increased by 5%, so (using year 1 is the base year), the inflation rate in the CPI equals 0%. Streams Popcorn Price Quantity Price Quantity Year 1 $10.00 200 $4.00 2000 Year 2 $9.50 240 $4.20 1000
How a tax burden is divided between consumers and producers is called tax incidence. Consumers bear most of the tax burden when: Supply is more elastic than demand. Demand is more elastic than supply The firm decides to pass none of the tax on to the consumer via a higher price. Cross elasticity of demand is .35
Challenge Question. The very fictitious element polexium decays according to the sequence 214Px --> 210Px + a The half-life of $^{214}Px$ is 245years. If we start with 1kg of $^{214}Px$, how much power is initially released per mole? How much power is available after one half-life has elapsed? mass $^{214}Px$ = 213.995186u mass $^{210}Py$ = 209.984173u mass $^{210}Bx$ = 209.987834u mass $\alpha$ = 4.002603u mass $\beta$ = 0.000549u 1u = 932MeV/$c^2$ e = 1.6x10$^{-19}$C h=6.63x10$^{-34}$Js=4.14x10$^{-15}$eVs $m_e$=9.11x10$^{-31}$kg $m_p$=1.67x10$^{-27}$kg=1.00728u $N_A$=6.02x10$^{23}$atoms/mole
Determine whether each argument in Problems 7-10 is valid or invalid. Give reasons for your answer. 7. a. $p \rightarrow q$ $\sim q$ $\therefore \sim p$ b. $p \rightarrow q$ $q$ $\therefore p$ 8. a. $p \lor q$ $\sim p$ $\therefore q$ b. $p \lor q$ $\sim q$ $\therefore p$ 9. a. $p \rightarrow q$ $\sim p$ $\therefore \sim q$ b. $p \rightarrow q$ $p$ $\therefore q$ 10. a. $p \rightarrow \sim q$ $q$ $\therefore \sim p$ b. $\sim p \rightarrow q$ $\sim p$ $\therefore q$
Implied-in-law contracts are not actually contracts but are to help prevent unjust enrichment.
3. Calculate the average billing daily balance for each of the monthly statements for the following revolving credit accounts: assume a 30-day billing cycle: Billing Previous Payment Payment date balance date amount a. 4/10 $329 4/25 $35 b. 6/15 $573 6/25 $60 c. 9/15 $335.50 9/20 $33.55 Charge Charge date(s) amount(s) 4/29 $56 6/26 $25 6/30 $72 9/25 $12.50 9/26 $108 Average daily balance 332.03
Sally is paid a a fixed amount of money to walk her neighbor's dog every day after school. When she is paid each month, she puts aside $20 to spend and saves the remaining amount. Write an expression that represents the amount Sally will save in 6 months if she earns m dollars each month. If Sally is paid $65 each month, how much will she save in 6 months?
A circuit shown below has both resistors in parallel and series with the combination. Find the total resistance of this circuit. $R_2$ 60 ? $R_3$ 50? $R_1$ 200 ? $R_4$ 80? $R_5$ 30?
