Answer:
$1,025.299
Explanation:
The formula for compound interest is
FV = PV × (1+r)^ n
Where Fv is the future value
Pv is the present value = $1000
r is interest rate = 1/2 % or 0.5% per year
n is five years
interest is compounded quarterly,
Interest per quarter = 0.5% /4 = 0.125% which is 0.00125
n will be 5 years x 4 quarters = 20 periods
Fv= $1000 x (1 +0.00125)^20
Fv =$1000 x(1.00125)^20
Fv= $1000 x 1.025299
Fv = $1,025.299
Based on the percentage of readers who own a particular make of the car and the random sample, we can infer that there is sufficient evidence at a 0.02 level to support the executive claim.
<h3>What is the evidence to support the executive's claim?</h3>
The hypothesis is:
Null hypothesis : P = 0.55
Alternate hypothesis : P ≠ 0.55
We then need to find the test statistic:
= (Probability found by marketing executive - Probability from publisher) / √( (Probability from publisher x (1 - Probability from publisher))/ number of people sampled
= (0.46 - 0.55) / √(( 0.55 x ( 1 - 0.55)) / 200
= -2.56
Using this z value as the test statistic, perform a two-tailed test to show:
= P( Z < -2.56) + P(Z > 2.56)
= 0.0052 + 0.0052
= 0.0104
The p-value is 0.0104 which is less than the significance level of 0.02. This means that we reject the null hypothesis.
The Marketing executive was correct.
Find out more on the null and alternate hypothesis at brainly.com/question/25263462
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Answer: The actual rate of the mortgage is 5.27%.
Since we're taking two mortgages for a total of $200,000 for 30 years, we can find the actual rate of the mortgage by finding the weighted average of the two rates. The weights in this case will be the proportion of loan taken at each rate
We have
Rates Weights Rates * Weights
4.15 0.80 
9.75 0.20 
Total 5.27%
Question Completion:
Centerpiece Arrangements has just completed operations for the year ended December 31, 2018. This is the third year of operations for the company. The following data have been assembled for the business (Click the icon to view the assembled data of Centerpiece Arrangements.) Prepare the income statement of Centerpiece Arrangements for the year ended December 31, 2018. (If a box is not used in the table leave the box empty, do not select a label or enter a zero.) Net Income
i Data Table $ $ Insurance Expense Service Revenue Utilities Expense Rent Expense Common Stock Cash Retained Earnings, January 1, 2018 6,500 92,000 800 13,000 7,000 6,400 Salaries Expense Accounts Payable Office Supplies Dividends Accounts Receivable Equipment 42,000 2,600 2,500 4,500 3,500 27,600 5,200
Answer:
Centerpiece Arrangements
Income Statement for the year ended December 31, 2024:
Service Revenue $92,000
Expenses:
Insurance expense $6,500
Utilities expense 800
Rent expense 13,000
Salaries expense 42,000
Total Expense $62,300
Net Income $29,700
Explanation:
a) Data:
Trial Balance as for December 31, 2024:
$ $
Insurance Expense 6,500
Service Revenue 92,000
Utilities Expense 800
Rent Expense 13,000
Common Stock 7,000
Cash 6,400
Retained Earnings,
January 1, 2018 5,200
Salaries Expense 42,000
Accounts Payable 2,600
Office Supplies 2,500
Dividends 4,500
Accounts Receivable 3,500
Equipment 27,600
Total $106,800 $106,800
