An investment with an initial deposit of $12,993 is growing at an interest rate of 3.22% compounded quarterly. Round all answers to two decimal places if necessary.

1. Find the accumulated amount of the investment at the end of 3 years.

2. The interest rate changes to 4.85% compounded monthly after the first 3 years. Calculate the accumulated amount in this investment at the end of year 6.

3. Find the total amount of interest accumulated during the entire 6 years of the investment.

An air-filled parallel-plate capacitor with plate separation d and plate area A is connected to a battery that applies a voltage V₀ between plates. With the battery left connected, the plates are moved apart to a distance of 10d. Determine by what factor each of the following quantities changes: (a) V₀; (b) C; (c) E; (d) D; (e) Q; (f ) ρ_S; (g) WE. Repeat the exercise for the case in which the battery is disconnected before the plates are separated.

Suppose the incidence rate of myocardial infarction (MI) was 10 per 1000 among 45- to 54-year-old men in 1990. To look at changes in incidence over time, 3000 men in this age group were followed for 1 year starting in 2000. 40 new cases of MI were found. Using both rejection region and p-value approach with α = .05, test the hypothesis that incidence rates of MI changed from 1990 to 2000.

Suppose a closed economy has a consumption-output ratio of 0.8. Total output is 1 Billion in 2018 and the capital stock equals 5 Billion. It's depreciation rate and population growth rate are both equal to 2%. What is true in 2019?

income will have grown

consumption will take an even larger share of output

we do not have enough information to calculate changes from 2018 to 2019

the capital stock must be smaller than in 2018

Suppose that people realize that they must save a larger proportion of their income in order to retire, and they simultaneously begin to use new technology that allows them to reduce their holdings of real cash balances as a proportion of their income. Giving reasons, clearly explain the combined impact of these two changes in household behaviour on equilibrium output and interest rates in a closed economy using the IS–LM analysis. You may need to draw a diagram to determine the impact. However, do not provide a diagram with the answer.

there has been numerous studies presented on dendrites and dendritic spines, because of their essential roles within a functional neurocircuit.  First, describe and explain how dendrites and dendritic spines play a significant role in neurocognitive processing on a circuit level.  Second, discuss in detail how dendrites and spines can reflect alterations of brain state in the following topics: (answer all of them)

a) During hormonal changes

b) During learning/memory

c) Social deprivation

Imagine you are a tetrapod ancestor about to leave the freshwater pond you’ve always inhabited and invade land. Consider the ventilatory and osmoregulatory challenges you have to face when you switch from a water environment to a terrestrial environment. How can you acclimate to the new habitat to succeed during your own lifetime? What adaptive changes does your species need to make in order to dominate various terrestrial environments for millions of years to come?

Part A

Your book Theories of Human Learning: What the Professor Said - 180 Day Option, 6th Edition
Guy R. Lefrancois discusses several neuropsychological changes that underlie learning. Please describe your thoughts on learning and thinking according to Hebb's theory. Please discuss in detail the relationship between neurology and learning according to this concept and use examples as applicable.

Part B

Compare and contrast Hebb's theory of learning to Tolman's theory of learning.

4. A monopolist faces a linear demand for its product and has a flat marginal and average cost of production. An innovation lowers the cost of production by $1 per unit. Use the graph to show the profit-maximizing monopolist’s choice and the changes due to the innovations. a. How much will the price change as the result of the innovation? b. How much will profit per unit change as the result of the innovation? c. Summarize: who benefits from the innovation? Explain in 2-3 sentences.

Astro Corporation was started with the issue of 5,500 shares of $9 par stock for cash on January 1, 2018. The stock was issued at a market price of $16 per share. During 2018, the company earned $64,100 in cash revenues and paid $42,947 for cash expenses. Also, a $3,900 cash dividend was paid to the stockholders.

Required:

Prepare an income statement, statement of changes in stockholders’ equity, balance sheet, and statement of cash flows for Astro Corporation’s 2018 fiscal year.