Answer:
Explanation:Explanation is in a filely/3fcEdSx
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To be effective, communication must ________. A. benefit both parties B. only involve a sender C. be written D. only involve a
1 answer:
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Answer:
The question is not complete, below is the complete question:
Suppose that you open a mutual fund account with a deposit of 500 dollars. 5 months later, the fund balance is 600 dollars, and you withdraw 216 dollars. A year after the account was opened, your balance is X dollars. If the dollar weighted and time weighted rates of return were the same, what is the rate of return? (Assume simple interest for the dollar weighted calculation.) Answer should be a percent!!!
Answer:
The rate of return is 48% on deposited fund.
Explanation:
The rate of return on investment is the percentage increase on an amount invested for a particular period of time, and to calculate this, we will use the simple interest formula:
I = P × R × T
Where:
P = principal = $500
R = rate in decimal ( %rate/100)
T = time = 5 months = 5/12 years
I = interest = Principal - final balance = 600 - 500 = $100
∴ 100 = 500 × R/100 × 5/12
100 =
120,000 = 2500R
∴ R = 120,000 ÷ 2500 = 48%
Therefore rate of return (R) = 48%
For a clearer understanding of the concept of interests, let us calculate for the balance after one year (X) as shown below:
I = P×R×T
T = 1 because, X is the balance after one year.
I = 500 × 48/100 × 1
I = $240
therefore the final amount after one year = interest + principal
= 240 + 500 = 740
but we were told that $216 was withdrawn at 5 months, hence the balance after one year = 740 - 216 = $524
Answer:
CPI for the current year = 200
Explanation:
Given;
Contents in market basket
20X, 30Y, and 50Z
The current-year prices for goods
X = $2
Y = $6
Z = $10
The base-year prices are
X = $1
Y = $3
Z = $5
Now,
Total cost of market basket in the current year
= ∑ (Quantity × Price)
= 20 × $2 + 30 × $6 + 50 × $10
= $40 + $180 + $500
= $720
Total cost of market basket in the base year
= ∑ (Quantity × Price)
= 20 × $1 + 30 × $3 + 50 × $5
= $20 + $90 + $250
= $360
also,
CPI for the current year =
or
CPI for the current year =
or
CPI for the current year = 200
Answer:
The correct answer is A. $18,276
Explanation:
First you have to calculate how much you'd end up having at the end of the 25 years period in your savings account.
You calculate the total amount saved for each year, using the formula:
Where
is the total amount in the savings account for this period.
is the total amount in the savings account from the previous period.
is the interest rate.
are the annual deposits being made into the savings account.
Therefore for the first year you'd do:
For the second year:
And so on. You can help yourself calculate the value of this series using programs like Excel.
I have attached an Excel file that has a table with the savings values for each of the 25 years.
So, the 25th year you’ll have $365,529.70 in your savings account. Now you simply divide this number by 20 (that will be the number of years you’ll be withdrawing the same dollar amount from your savings account):
In conclusion, you’d be able to withdraw $18,276.485 each year for the following 20 years after the 25th deposit, if all withdrawals are the same dollar amount.