The waiting time at which 10 percent of the people would continue to hold is given as 2.3
<h3>How to solve for the waiting time</h3>
We have to solve for X ~ Exponential(λ).
then E(X) = 1/λ = 3,
= 0.3333
Remember that the cumulative distribution function of X is F(x) = 1 - e^(-λx). ; x is equal to the time in over case
For 10 percent of the people we would have a probability of
10/100 = 0.1
we are to find
P(X ≤ t)
= 1 - e^(0.3333)(t) = 0.1
Our concern is the value of t
Then we take the like terms
1-0.1 = e^(0.3333)(t)
1/0.9 = e^(0.3333)(t)
t = 3 * ln(1/0.9)
= 0.3157
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Answer:
$600 million
Explanation:
On January 1, 2020, the balance of common stock & APIC
Common stock & APIC = Paid-In Capital + Share Capital raised by issuing 50 million shares at $20 per share - Treasury Stock
Here
Paid-In Capital is $500 millions
Issue of 50 million shares at $20
Treasury Stock is 20 million shares at $45 per share
By putting the values, we have:
Common stock & APIC = $500 million + $1000 million - (20 million shares * $45 per share)
Common stock & APIC = $1500 millions - $900 million = $600 million
Answer:
$300,00
Explanation:
In a situation where the interest rate is said to be 10% the amount that Martin must provide in order to fund this bequest will therefore be:
Bequest first year $9,000/(Interest rate 10%-
Increase of 7 % per year)
Hence:
$9,000/0.03
=$300,000
Therefore $300,00 will be provided to fund the bequest
Answer:
e. All of these choices are correct.
Explanation:
Note:
Statement a. about production budget is correct as the production budget only estimates number of units to be produced, in quantity and not in dollars and therefore is not converted into dollars.
Statement b. about sales budget is also correct as it shows the quantity in units and also in value.
Statement c. about overhead budget is also correct as the budget segregates variable and fixed overheads properly.
Statement d. about labor budget is correct, as in this budget an average rate is used for calculating the expenses.
Therefore all of the above is correct.