You would have to invest 97,222
97222*6=5833.32 + 97222= 103055.32 Year one
103055.32*.06= 6183.32 = 109238.64 Year two
109238.64*.06= 6554.32= 115792.96 Year three
115792.96*.06= 6947.58 = 122740.54 Year four
Answer:
(a) E(X) = 3
(b) Var(X) = 12.1067
Explanation:
(a) E[X]
E[X]T = E[X]T=A + E[X]T=B + E[X]T=C
= (2.6 + 3 + 3.4)/3
= 2.6 (1/3) + 3(1/3) + 3.4(1/3)
= 2.6/3 + 1 + 3.4/3
= 3
(b) Var (X) = E[X²]−(E[X])²
Recall that if Y ∼ Pois(λ), then E[Y 2] = λ+λ2. This implies that
E[X²] = [(2.6 + 2.6²) + (3 + 3²) + (3.4 + 3.4²)]/3
= (9.36 + 12 + 14.96)/3
= 36.32/3
= 12.1067
Var(X) = E[X²]−(E[X])²
= 12 - 3²
= 12.1067 - 9
= 3.1067
Answer:
The variable cost per unit is $1.54
Explanation:
Variable costs are those cost which vary with the change in production of units means higher the production higher cost and lower production will result in lower cost e.g Material cost, labor cost etc.
On the other hand fixed cost the cost which does not vary with the production of units. It is fixed no matter what is the level of production.
According to given data:
Total Cost = $500,000
Fixed Cost = $260,000
Variable cost = Total cost - fixed cost
Variable cost = $500,000 $260,000
Variable cost = $240,000
Number of units = 156,000
Variable cost per unit = $240,000 / 156,000 = $1.54 per unit
Answer:
Dr. Allowance for Doubtful Accounts...1,200
Cr. Accounts Receivable....................................1,200
Explanation:
When a specific customer's account is identified as uncollectible, the journal entry to write off the account is:
A credit to Accounts Receivable (to remove the amount that will not be collected)
A debit to Allowance for Doubtful Accounts (to reduce the Allowance balance that was previously established)
Therefore the JOURNAL ENTRIES for the $1,200 uncollectible debt will be
Dr. Allowance for Doubtful Accounts...1,200
Cr. Accounts Receivable....................................1,200
A manager's operation had sales this period of $89,775. last period sales were $85,500. So the manager's percentage sales increase for this period when compared to last period was 5% .
The percentage increase is the measure of the percentage change. The percentage increase is defined as the ratio of increased value to the original value and then multiplied by 100. Here the increased value can be calculated by taking the difference between the final value and the initial value. The formula to calculate increase is given by -
Percentage Increase = [(Final value – Original value) × 100] / Original value %
In this case, original value is $85500 and the final value is $89775, then the percentage increase is:
Percentage Increase = [(89775-85500) ×100]/85500
= 427500/85500
= 5%
So, the percentage increase will be 5% .
To learn more about percentage increase here
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