From June to the end of September, Jennifer wants to save at least $1,500. Her monthly expenses are $600. Jennifer saves whateve
1 answer:
The minimum sales required by Jennifer to meet her savings goal must be $26.25 per hour or $2100 for September.
Given that,
Savings desired = $1500
Monthly expenses = $600
Let money earned by her every hour be
No. of scheduled work hours
So,
Total money earned for the month
×
As we know,
Money left = Total money earned - expenses
-
...(i)
A.T.Q.
Money left must be = $1500
Then, by putting the variables in equation (i), we get
Now, solving for
_______________
∵
Thus, the required sales are $ per hour or (
×
= $2100) for the month of September.
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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but we were told that $216 was withdrawn at 5 months, hence the balance after one year = 740 - 216 = $524
The present value (PV) of an annuity of P equal periodic payments for n years at r% is given by:
where
is the <span>present value of an annuity factor for n years at r%.
Given that </span>a<span> company borrowed $40,000 cash from the bank and signed a 6-year note at 7% annual interest and that the present value of an annuity factor for 6 years at 7% is 4.7665.
Then
Therefore, </span><span>the annual annuity payments equals $8,391.90</span>
where
Given that </span>a<span> company borrowed $40,000 cash from the bank and signed a 6-year note at 7% annual interest and that the present value of an annuity factor for 6 years at 7% is 4.7665.
Then
Therefore, </span><span>the annual annuity payments equals $8,391.90</span>