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A record store owner in Seattle discovered an uncashed royalty check (check #[d]) made out to Kurt Cobain. The check, dated March 6 1991, was written for the amount of $[p]. If Mr. Cobain had deposited the check into a savings account and simply left it there, how much would that $[p] have been worth after [n] years? Assume the savings account earned an annual interest rate of [i]%. (Round answer to two decimal places.)

Q[d]. A start-up firm borrowed $[p],000 to purchase equipment. The loan has an interest rate of [int]% per year and will be repaid in equal installments over the next [n] years. What is the amount of the annual installment payment? (Round answer to nearest dollar.)

You borrow $4,000 from your uncle. He tells you to repay him four years from now at an interest rate of 4% per year. You ask him whether he wants to be paid back with simple interest or with compound interest. He tells you to choose the one that costs you the least, because you are family. Which do you choose? [which]

Q[d]. How many years would it take an investment of $[t0],000 to double in value, at an annual interest rate of [i]%? (Round answer to one decimal place.)

Q[d]. An engineer estimates that it will cost $[f],000 to replace a system in [y] years. At an interest rate of [x]% per year, compounded semiannually, what is the uniform amount that must be deposited into a sinking fund every 6 months so that $[f],000 will be available [y] years from now? (Round answer to nearest dollar.)  

Part 3 of 3 parts An industrial engineer is working on a project to reduce workplace injuries. Two lift-assist devices are being evaluated. The devices will reduce the injury rate by the same amount. Based on the present worth of the cash flows for the devices (estimated in parts 1 and 2), which device should the engineer select? [which]

A railroad company invested in non-destructive inspection equipment, Model Z-[d], to identify defects in rail car wheels. The company believes it will save $[A],000 in year 1, with additional savings each year increasing by the constant amount of $[G],000. At an interest rate of [i]% per year, what is the annual equal amount saved over [N] years of service? (Round answer to nearest dollar.)

Q[d]. Taylor’s starting salary as an engineer is $[t],000 per year. For the next [y] years, Taylor plans to invest [s]% of their salary each year into an index fund. Taylor anticipates a [i]% salary increase each year. How much will Taylor have at the end of [y] years if the fund averages [i]% annual return? (Round answer to nearest dollar.)

Use the dropdown menus to select a possible translation to characterize the relationship between the ablative absolute clause and the main clause: Hīs bonīs virīs imperium tenentibus, rēs pūblica valēbit. [Since] these good men are holding power, the Republic will be strong. Hāc fāmā narrātā, dux urbem sine morā reliquit. [When1] this story has been told, the general will leave the city without delay. Cīvibus patriam nōn iuvantibus, possumus tamen habēre magnās spēs. [Although1] the citizens are not helping the country, we can nevertheless have hope. Hōc ōrātōre populum vocante, fidēs nostra servātur. [When2] this orator summons the people, our faith is saved. Lībertāte nōn dēlētā, magna tamen metus est. [Although] freedom has not been destroyed, there is nevertheless great fear. 

The future tense of fourth conjugation and third conjugation i-stem verbs Like third conjugation verbs, such as agō, agere and dīcō, dīcere — and unlike first and second conjugation verbs — fourth conjugation and third conjugation i-stem verbs have a future with tense markers in -ā- (shortened before the -m) and -ē-. These are slightly easier to identify than third conjugation futures, since in both fourth and third i-stem verbs, the forms will retain the -i- of the verbal stem (shortened in the case of the long fourth conjugation vowel). As a result, these forms are very predictable. Fill out the following tables yourself — again, try not to look at the textbook! You can fill out the rest of the form yourself — try not to rely on the textbook! Singular        Plural 1 audiam [audiemus] 2 audiēs [audietis] 3 [audiet] [audient]   Singular        Plural 1 [capiam] [capiemus] 2 capiēs capiētis 3 [capiet] [capient] Don’t forget to add macrons! You can copy and paste letters with macrons into the word with these letters: ā ē ī ō ū