Answer: $242,567.27
Explanation:
The $5,000 is an annuity as it is being paid every year and is a constant amount.
The value in 19 years is the future value of this annuity:
Future value of annuity = Annuity * ( ( 1 + rate) ^ number of years - 1) / rate
= 5,000 * ( ( 1 + 9.5%)¹⁹ - 1) / 9.5%
= $242,567.27
Answer:
Answer explained below
Explanation:
(1)
IS Model:
Y = C + I + G + X - M
Y = 100 + 0.5Y + 100 - 20r [G = X = M = 0]
(1 - 0.5)Y = 200 - 20r
0.5Y = 200 - 20r
Y = 400 - 40r ......(1) [IS Equation]
LM Model:
Money demand (Speculative + Transactions demand) = Money supply
100 - 10r + 0.1Y = 80
0.1Y = 10r - 20
Y = 100r - 200 .....(2) [LM Equation]
(2) When IS & LM intersect, from part (1):
400 - 40r = 100r - 200
140r = 600
r = 4.29
Y = 100r - 200 = (100 x 4.29) - 200 = 429 - 200 = 229
(3)
There will be four regions as explained below:
In region I, there is excess supply in both goods and money market, which puts downward pressure on both interest rate and output.
In region II, there is excess demand in goods market, but excess supply in money market, which puts upward pressure on output & downward pressure on interest rate.
In region III, there is excess demand in both goods and money market, which puts upward pressure on both interest rate and output.
In region IV, there is excess supply in goods market, but excess demand in money market, which puts downward pressure on output & upward pressure on interest rate.
Answer:
Results are below.
Explanation:
<u>First, we need to determine the standard production costs:</u>
Direct materials= 9.6*4.55= $43.68
Direct labor= 1*15.80= $15.8
Variable manufacturing overhead rate= 3.40*1= $3.4
Predetermined fixed manufacturing overhead rate= 6*1= $6
<u>Finally, the standard cost per unit:</u>
Total unitary cost= 43.68 + 15.8 + 3.4 + 6= $68.88
When valuing a stock using the constant-growth model, D1 represents the next expected annual dividend. The constant-growth model is formally known as the Gordon Growth Model. This model shows the intrinsic value of stock based on dividends in the future if they are growing at a constant rate. Instrinsic value is the value of something based on anaylsis without accounting for the market value.
The probability that the first student dressed inappropriately for the football game will be the 10th student checked is <u>3.182%</u>.
<h3>What is probability?</h3>
Probability refers to the chance that an outcome occurs given the possibility of many outcomes.
As a measure, probability represents the ratio of the outcomes from a set of equally likely outcomes.
<h3>Data and Calculations:</h3>
Estimated proportion of students dressed inappropriately = 7%
Number of players for a football game = 22 (11 x 2)
Probability that the first one dressed inappropriately will be the 10th = 0.031818 (0.07 x 10/22).
Thus, the probability that the first student dressed inappropriately for the football game will be the 10th student checked is <u>3.182%</u>.
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