Explanation:
i=interest rate
X=current rate
2X = double current rate
n = number of years
Calculate time it takes to double at 3%:
2X = X(1+i)^n
simplify by cancelling out X
(1+i)^n = 2
substitute i = 3%
(1.03)^n =2
take log
n*log(1.03) = log(2)
n = log(2)/log(1.03) = 0.6931/0.02956 = 23.45 years
Similarly, for growth rate of 7%,
n = log(2)/log(1.07) = 0.6931 / 0.06766 = 10.24 years
So the difference is 23.45-10.24 = 13.21 years (to the hundredth) sooner
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D is the answer I believe
Answer:
Total profit = $1800000 @ a given demand level of 100K units of swimsuit.
Explanation:
Lets first develop a formula representing the Total profit for any demand level, see as follows:
(Selling price per unit× d) - (cost per unit× d)= Total profit
We will be using the short forms of the components in this formula.
SP = selling price per unit
d= demand
cp= cost per unit
TP= Total profit.
Now lets substitute the values into the formula to compute profit at any demand level (in this case 100,000 units of swimsuits) as follows:
Total profit = ($40× 100000) - ($22× 100000)
Total profit = $4000,000 - $2200,000
Total profit = $1800000 @ a given demand level of 100K units of swimsuit.
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<em>(NOTE: The formula mentioned above can be used to compute the correct profit for any demand level, even though if there is a change in sp and/or cp, the formula can also be useful.)</em>
Answer:
See below
Explanation:
Marginal cost is the additional expenses incurred in producing one more unit of output. Marginal cost is the expenses associated with the production of one extra unit.
In this case, there will be marginal costs in producing the first item. There is no extra unit in the first unit. Marginal costs will be zero. The second item's marginal cost will be the difference between the cost of the second and the first item.
First bike
=0
The fourth bike:
=Forth bike - third bike
=$130 -$110
= $20
The sixth bike
=sixth - fifth
=$210 -$160
=$50
The seventh bike
=seventh - sixth
=$270 -$210
=$60