Answer:
a.
P = $3.50 per gallon
b.
Equilibrium Quantity = 165 million gallons
Explanation:
a.
The equilibrium price is the price at which Quantity demanded equals quantity supplied. To calculate the equilibrium price using the given equations for demand and supply, we need to equate both equations.
<u>Equilibrium Price (P) calculation</u>
QD = QS
200 - 10P = -10 + 50P
200 + 10 = 50P + 10P
210 = 60P
P = 210 / 60
P = $3.50 per gallon
b.
The equilibrium quantity can be calculated by inserting the value of Price (P) in any of the equation for demand or supply.
Equilibrium Quantity = 200 - 10(3.50)
Equilibrium Quantity = 200 - 35
Equilibrium Quantity = 165 million gallons
Answer:
The Correlation analysis “R” is measured to compute the strength of relationship among variables. Moreover, the value of correlation is calculated among -1 to +1. Which implies that if the computed value is near to -1 then there will be strong but negative relation and if near to +1 then it is strong but relation among the variable. However zero is consider as neutral point.
A. The computed value of correlation is - 0.772. The value identifies that that there is a strong but negative association among the variables (GDP and infant mortality rate).
B. The correlation analysis cannot computed among the variables continent and GDP because "continent" is a categorical variable not quantitative.
C. The computed value of correlation is higher than 1. Thus, the statement implies that there is a very strong relationship among life expectancy and GDP which is incorrect. As the association cannot be higher than 1.
D. There is a strong relationship among literacy rate and GDP as the relationship is nearer to 1. Furthermore, the association among literacy rate and GDP doesn’t suggest the causation.
E. The computed correlation among the variables is 0.90. Which indicated that the variables goes up. That is, when the GDP goes down the import is also decrease and when GDP increases the import increases Thus, the there is a positive correlation.
Answer:
The rate that will give the same effective annual rate of return is 0.033%.
Explanation:
a) Data and Calculations:
APR = 12%
Semi-annual compound rate = 6% (12/2)
Assumed calendar days in a year = 360 days
Effective daily rate of return = 12%/360 = 0.033%
b) The conversion of semi-annual compounding to daily compounding results in reduced rate of return. In this case, we assume that there are 360 days in a year. Since the APR = 12%, it means that the daily rate of return will be 12%/360, which is 0.033%.
Answer:
Option (b) is correct.
Explanation:
The Journal entries are as follows:
(i) On November 1, 2015
Retained Earnings [$3 × 20,000] A/c Dr. $60,000
To Dividend Payable $60,000
(To record the declaration of dividend)
(ii) On November 30, 2015
Dividend Payable A/c Dr. $60,000
To cash A/c $60,000
(To record the payment of dividend)
Answer: $5,150
Explanation:using the information given above,
For every $1 contributed by the employee, employer adds 50cent.
Employer contribution ends after employee contributes $2500 to the 401(k) plan.
Last year:
Ian's weekly contribution = $75
Number of weeks in a year = 52
Ian's total contribution ($75 × 52) = $3,900
Ian's Employer's total contribution:
$0.5 × $2500 = $1,250
Therefore total contribution last year :
$3900 + $1250 = $5,150
